Chapter 2
Logical Reasoning and IQ
TU CMAT entrance past exam questions
Past questions and answers
89 questions set from this chapter, 2 of them more than once. Most repeated first.
- Asked 2 times
- 2074 · 1 mark
- 2072 · 1 mark
Doctor : Lawyer ::
(a) Client : Illness
(b) Patient : Medicine
(c) Medicine : Fee
(d) Patient : Client
Answer
(d) Patient : Client
Doctor and Lawyer are both professionals; similarly, Patient and Client are both recipients of professional services.
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- Asked 2 times
- 2074 · 1 mark
- 2072 · 1 mark
Room : House ::
(a) Chair : Room
(b) Cabin : Ship
(c) Wheel : Chair
(d) Refrigerator : Kitchen
Answer
(b) Cabin : Ship
A room is a part/compartment within a house, just as a cabin is a part/compartment within a ship.
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- 2074 · 1 mark
If BAD is coded as YZW and Fight is coded as URTSG, then high will be coded as
(a) PRSP
(b) TRST
(c) HSTR
(d) SRTS
Similar questions: If BAD is coded as YIW and (2072)
Answer
(d) SRTS
The code uses the Atbash rule: each letter is replaced by its opposite in the alphabet (, , etc.).
So HIGH → H→S, I→R, G→T, H→S = SRTS.
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- 2072 · 1 mark
If BAD is coded as YIW and FIGHT is coded as URTSG, then HIGH will coded as
(a) PRSP
(b) TRST
(c) RSTR
(d) SRTS
Similar questions: If BAD is coded as YZW and (2074)
Answer
(d) SRTS
The coding is Atbash: each letter is replaced by its opposite in the alphabet (A↔Z, B↔Y, C↔X, …).
FIGHT → URTSG confirms this.
So HIGH → H→S, I→R, G→T, H→S = SRTS.
(The given BAD → YIW appears misprinted; under this rule BAD would be YZW.)
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- 2019
If 'x' means 'minus', '÷' means 'divided by means 'plus' and '+' means 'multiply by' then which of the following will be the value of the expression ?
(a) 45
(b) 168
(c) 192
(d) 200
Answer
The question's symbol rules are garbled, so none of the listed options can be reached by a faithful reading. Taking the rules as: means minus, means plus, and means multiply (the sign is unchanged), the expression becomes
By BODMAS, multiplication comes first:
This value is not among (a) 45, (b) 168, (c) 192 or (d) 200, so the question as printed has no correct option. It is most likely a misprint of the symbol rules, and the original key cannot be recovered from the text given.
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- 2019
If 'D' means 'add by 1', 'E' means 'multiply by 2', 'F' means 'subtract from 1' and 'G' means 'divide by 3' then is equal to
(a) 15
(b) 20
(c) 25
(d) 30
Answer
(b) 20
Evaluate left to right:
So the value is 20.
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- 2019
Arrange the following in a logical order:
(i) Shoulder
(ii) Wrist
(iii) Elbow
(iv) Palm
(v) Fingers
(a) 1,2,3,4,5
(b) 5,4,3,2,1
(c) 2,3,1,4,5
(d) 4,5,3,2,1
Answer
(None of the above)
The logical order from the body outward is:
(i) Shoulder → (iii) Elbow → (ii) Wrist → (iv) Palm → (v) Fingers
i.e. (1,3,2,4,5).
This sequence is not given among options (a)–(d).
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- 2019
Arrange the following in a meaningful sequence:
(i) Phrase
(ii) Letter
(iii) Word
(iv) Sentence
(a) 2,1,3,4
(b) 1,2,3,4
(c) 2,3,1,4
(d) 2,1,4,3
Answer
(c) 2, 3, 1, 4
The correct sequence is Letter → Word → Phrase → Sentence. Letters combine to form words, words combine to form phrases, and phrases combine to form sentences.
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- 2019
A group consisting of 25 teachers, 20 engineers, 18 doctors and 12 salesmen visited a fair and spent Rs 1330 altogether. It was found that 5 teachers spent as much as 4 engineers, 12 engineers spent as much as 9 doctors and 6 doctors spent as much as 8 salesmen. If every person in a professional group spent the same amount, find the amount spent by each engineer.
(a) Rs 14
(b) Rs 17.50
(c) Rs 18
(d) Rs 21
Answer
(b) Rs 17.50
Let the amounts spent by each teacher, engineer, doctor and salesman be respectively.
Given:
Total spent:
Substitute:
So, each engineer spent Rs 17.50.
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- 2019
A, B, C and D play a game of cards. A says to B, 'If I give you 8 cards, you will have as many as C has and I shall have 3 less than what C has. Also, if I take 6 cards from C, I shall have twice as many as D has. If B and D together have 50 cards, how many cards has A got?
(a) 40
(b) 37
(c) 27
(d) 23
Answer
(a) 40
Let A, B, C and D have cards respectively.
From the first condition: So,
From the second condition:
Given:
So A has 40 cards.
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- 2019
The age of a father is twice that of the elder son. Ten years hence the age of the father will be three times that of the younger son. If the difference of ages of the two sons is 15 years, the age of the father is
(a) 70 years
(b) 60 years
(c) 55 years
(d) 50 years
Answer
(d) 50 years
Let the father's age be , the elder son's age , and the younger son's age .
Given:
- , so
Substitute into the first equation:
Now use the second condition:
So and .
The father is 50 years old.
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- 2019
In a group of persons travelling in a bus, 6 persons can speak French, 15 can speak Spanish and 6 can speak English. In that group, none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group?
(a) 21
(b) 22
(c) 23
(d) 24
Answer
(c) 23
Let , , be the sets of French, Spanish and English speakers, so .
Of these, 2 persons speak exactly two languages (each counted twice) and 1 person speaks all three (counted three times). The 27 therefore counts the 2 persons twice and the 1 person three times, so the number of distinct persons is
Hence there are 23 persons in the group.
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- 2019
The total number of digits used in numbering the pages of a book having 366 pages is
(a) 732
(b) 990
(c) 1098
(d) 1305
Answer
(b) 990
Pages 1–9 use digits.
Pages 10–99 use digits.
Pages 100–366 use digits.
Total .
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- 2019
At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether?
(a) 20
(b) 45
(c) 55
(d) 90
Answer
(b) 45
Each handshake involves a pair of people. The number of ways to choose 2 people from 10 is
[
\binom{10}{2}=\frac{10\times 9}{2}=45
]
So there will be 45 handshakes altogether.
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- 2019
A monkey climbs 30 feet at the beginning of each hour and rests for a while when he again starts climbing in the beginning of the next hour. If he begins his ascent at 8:00 a.m., at what time will he first touch a flag at 120 feet from the ground?
(a) 4:00 p.m.
(b) 5:00 p.m.
(c) 6:00 p.m.
(d) None of these
Answer
(d) None of these
He climbs 30 ft at the start of each hour: 30 ft at 8:00 a.m., 60 ft at 9:00 a.m., 90 ft at 10:00 a.m. and 120 ft at 11:00 a.m.
So he first touches the flag at 11:00 a.m., which is not among (a) 4:00 p.m., (b) 5:00 p.m. or (c) 6:00 p.m.
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- 2019
Find the missing number from among the given alternatives.
3 2 3 4 5 6 7 8 9 27 38 ?
(a) 49
(b) 50
(c) 51
(d) 52
Answer
(c) 51
Pattern in each column:
[ \text{4th number} = (\text{2nd number})^2 + \text{2nd number} + \text{3rd number} ]
Column 1:
[ 4^2 + 4 + 7 = 16 + 4 + 7 = 27 ]
Column 2:
[ 5^2 + 5 + 8 = 25 + 5 + 8 = 38 ]
Column 3:
[ 6^2 + 6 + 9 = 36 + 6 + 9 = 51 ]
So the missing number is 51.
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- 2019
The angle of elevation of top of a tower from a point on the ground is found to be . By going 50 meters further away from the tower, it is found to be . In such situation the height of the tower is
(a) 78.2 meters
(b) 83.1 meters
(c) 88.3 meters
(d) None of these
Answer
(d) None of these
Let the height of the tower be and the initial distance from the tower be .
From the first point:
From the second point, 50 m farther away:
Substitute :
So the height of the tower is approximately 68.3 m, which is not given in the options. Hence, (d) None of these.
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- 2019
Study the following table and choose the alternative which can best replace the sign of interrogation (?).
3 5 7 9 5 10 26 50 7 26 50 82 9 50 82 ?
(a) 120
(b) 122
(c) 124
(d) 126
Answer
(b) 122
Look at the inner values row-wise:
[ 10,\ 26,\ 50 ] Differences: [ 26-10=16,\quad 50-26=24 ] Increase by (8).
Next row: [ 26,\ 50,\ 82 ] Differences: [ 50-26=24,\quad 82-50=32 ] Again increase by (8).
So in the last row: [ 50,\ 82,\ ? ] Difference should be: [ 82-50=32,\quad \text{next difference}=32+8=40 ] Hence: [ ?=82+40=122 ]
So the correct alternative is (b) 122.
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- 2019
The mode of the given distribution is
Weight (in kg) 40 43 46 49 52 55 No. of children 5 8 16 9 7 3
(a) 40
(b) 46
(c) 55
(d) None of these
Answer
(b) 46
The mode is the observation with the highest frequency. Here, weight 46 kg has the maximum frequency of 16 children, so the mode is 46.
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- 2074 · 1 mark
Find the odd one out: 1, 3, 9, 12, 19, 29
(a) 12
(b) 9
(c) 1
(d) 3
Answer
(a) 12
All the other numbers — 1, 3, 9, 19 and 29 — are odd numbers, while 12 is the only even number in the list.
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- 2074 · 1 mark
Sugar : Sweet ::
(a) Ice : Cold
(b) Butter : Cow
(c) Attack : Fail
(d) Whine : Grapes
Answer
(a) Ice : Cold
Sugar is characterised by sweetness, just as ice is characterised by coldness. The pair gives an object and its inherent quality.
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- 2074 · 1 mark
Track : Train ::
(a) Sea : Ship
(b) Radiation : Bomb
(c) Map : Terrian
(d) Road : Car
Answer
(d) Road : Car
A train runs on a track, just as a car runs on a road — the first is the path/way along which the second moves.
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Kaski : Pokhara ::
(a) Kathmandu : Nepal
(b) Butwal : Bhairahawa
(c) Jhapa : Bhadrapur
(d) Biratnagar : Itahari
Answer
(c) Jhapa : Bhadrapur
Kaski is a district and Pokhara is a major city (the metropolitan city and headquarters) within it. In the same way, Jhapa is a district and Bhadrapur is a well-known municipality within it. The other pairs break this pattern: Kathmandu is a city, not a part of "Nepal" in a district sense, Butwal and Bhairahawa are neighbouring cities, and Biratnagar and Itahari are separate cities.
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- 2074 · 1 mark
Rent : Land ::
(a) Wages : Bonuses
(b) Interest : Capital
(c) Shares : Profit
(d) Income : Salary
Answer
(b) Interest : Capital
Rent is the reward (return) for the factor of production land, just as interest is the reward for the factor capital.
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- 2074 · 1 mark
Monday : Tuesday ::
(a) January : February
(b) Working day : Holiday
(c) December : Sunday
(d) Winter : Summer
Answer
(a) January : February
Monday and Tuesday are consecutive days of the week, just as January and February are consecutive months of the year.
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Ink : Paper ::
(a) Door : Handle
(b) Dog : Tail
(c) Chalk : Blackboard
(d) Speak : Sing
Answer
(c) Chalk : Blackboard
Ink is applied on paper to write, just as chalk is applied on a blackboard to write.
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- 2074 · 1 mark
Bee : Hive ::
(a) People : Meeting
(b) River : Stream
(c) Mouse : Hole
(d) Fry : Cook
Answer
(c) Mouse : Hole
A bee lives in a hive, just as a mouse lives in a hole — the second word is the dwelling or shelter of the first.
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- 2074 · 1 mark
Choose the word which is least like other words in a group.
(a) Calendar
(b) Date
(c) Day
(d) Month
Answer
(a) Calendar
A calendar is a system or chart used to organize time, while date, day and month are individual units or components within a calendar.
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- 2074 · 1 mark
Choose the word which is least like other words in a group.
(a) Parrot
(b) Vulture
(c) Swan
(d) Sparrow
Answer
(c) Swan — It is a water bird (aquatic), while parrot, vulture and sparrow are land birds.
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- 2074 · 1 mark
Choose the word which is least like other words in a group.
(a) One
(b) Three
(c) Fifth
(d) Seventh
Answer
(a) One
The other words — Three, Fifth and Seventh — all contain the letters “th”, while One does not.
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- 2074 · 1 mark
Choose the word which is least like other words in a group.
(a) Tansen
(b) Dhangadi
(c) Nepalgunj
(d) Nagarkot
Answer
(d) Nagarkot
Tansen, Dhangadi and Nepalgunj are district headquarters/major municipalities, while Nagarkot is a small hill station/village.
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- 2074 · 1 mark
Choose the word which is least like other words in a group.
(a) Parrot
(b) Crow
(c) Bat
(d) Shark
Answer
(d) Shark
Parrot, crow and bat can all fly (bat is a mammal but still flies), whereas the shark is a fish that lives in water and cannot fly. So shark is the odd one out.
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- 2074 · 1 mark
Choose the word which is least like other words in a group.
(a) Half
(b) Quarter
(c) One-Third
(d) Six
Answer
(d) Six
Half, Quarter and One-Third all express a part of a whole (fractions), while Six is a whole number, so it is the odd one out.
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- 2074 · 1 mark
Choose the word which is least like other words in a group.
(a) Paris
(b) New York
(c) Kathmandu
(d) Tokyo
Answer
(b) New York
Paris, Kathmandu and Tokyo are all national capitals, while New York is not a capital city (the capital of the USA is Washington, D.C.).
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- 2074 · 1 mark
Choose the word which is least like other words in a group.
(a) 91
(b) 112
(c) 135
(d) 154
Answer
(c) 135
91 = 7 × 13, 112 = 7 × 16 and 154 = 7 × 22 are all multiples of 7, while 135 (= 5 × 27) is not. So 135 is the odd one out.
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- 2074 · 1 mark
Choose the word which is least like other words in a group.
(a) Bagful
(b) Careful
(c) Skilful
(d) Hopeful
Answer
(a) Bagful
The other three — careful, skilful, hopeful — are adjectives formed by adding the suffix -ful to a noun/verb (care, skill, hope). "Bagful" is a noun meaning the amount a bag can hold; here -ful forms a noun of quantity, not an adjective.
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- 2074 · 1 mark
Choose the word which is least like other words in a group.
(a) Lamb
(b) Dog
(c) Cat
(d) Grass
Answer
(d) Grass
Lamb, dog and cat are all animals, while grass is a plant.
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- 2074 · 1 mark
The parts of human body are:
(a) Waist
(b) Belly
(c) Chest
(d) Head
(e) Neck
(f) Foot
Starting from the foot as we go up, the correct order of parts in a human body is
(a) f, a, b, c, e, d
(b) f, a, c, b, d, e
(c) f, c, a, e, b, d
(d) f, a, e, b, c, d
Answer
(a) f, a, b, c, e, d
Going upward from the foot, the body parts are arranged as foot → waist → belly → chest → neck → head.
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- 2074 · 1 mark
If 21-15 stands for 6, 24-8 and 94-5 stand to right, what does 89-8 stand for?
(a) THIS
(b) NIGH
(c) HIGH
(d) THAT
Answer
(c) HIGH
The stem is garbled in the source, so the code rule cannot be rebuilt in full. Reading the digits of 89-8 as letter positions gives 8 = H, 9 = I, 8 = H, which fits the pattern H I _ H and points to HIGH. Among the options, only (c) HIGH has this shape.
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- 2074 · 1 mark
If LN NP QS OF stands for more, then SU QS TV SU stands for:
(a) FRUITS
(b) FAITH
(c) TRUTH
(d) TREES
Answer
(c) TRUTH
Each letter is written as the two letters on either side of it in the alphabet. For example, LN encloses M, NP encloses O, and QS encloses R, so LN NP QS spells M O R, the start of "more". Decoding SU QS TV SU gives T (between S and U), R (between Q and S), U (between T and V), T (between S and U), that is T R U T, which begins TRUTH. FRUITS, FAITH and TREES do not fit.
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- 2074 · 1 mark
If 2 x 3 = 812 and 4 x 5 = 1620, then 6 x 7 =
(a) 6677
(b) 6767
(c) 2428
(d) 2824
Answer
(c) 2428
Pattern:
So,
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- 2072 · 1 mark
Select the pair of words which best expresses relationship similar to that expressed in the pair in capital letters.
Doctor : Lawyer ::
(a) Client : Illness
(b) Client : Nursing
(c) Patient : Litigation
(d) Patient : Client
Answer
(d) Patient : Client
A doctor serves a patient, just as a lawyer serves a client. The pair gives the person served by each professional in the same order.
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- 2072 · 1 mark
Chalk : Black board ::
(a) Type : Point
(b) Table : Chair
(c) Door : Handle
(d) Ink : Paper
Answer
(d) Ink : Paper
Chalk is used to write on a blackboard, just as ink is used to write on paper.
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- 2072 · 1 mark
Biratnagar : Morang ::
(a) Kathmandu : Nepal
(b) Butwal : Bhairahawa
(c) Birgunj : Parsa
(d) Bharatpur : Ratnanagar
Answer
(c) Birgunj : Parsa
Biratnagar is a city located in Morang district, so the pair is "city : its district". Birgunj lies in Parsa district, matching the same relation.
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- 2072 · 1 mark
Rent : Land ::
(a) Wages : Bonus
(b) Interest : Capital
(c) Share : Profit
(d) Income : Salary
Answer
(b) Interest : Capital
Rent is the reward (return) for the factor of production land, just as interest is the reward for capital.
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- 2072 · 1 mark
Sunrise : Sunset ::
(a) Morning : Night
(b) Dawn : Twilight
(c) Noon : Midnight
(d) Energetic : Lazy
Answer
(d) Energetic : Lazy
Sunrise and sunset are opposites, so the matching pair must also be a pair of antonyms. Energetic and lazy are antonyms, whereas dawn and twilight are not opposites (both are transitional periods of the day).
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- 2072 · 1 mark
River : Ocean ::
(a) Child : School
(b) Book : Library
(c) Lane : Road
(d) Cloth : Body
Answer
(c) Lane : Road
A river is a smaller watercourse that leads into or joins a larger ocean; similarly, a lane is a smaller path that leads into or joins a larger road.
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- 2072 · 1 mark
Border : Country ::
(a) Pen : Cap
(b) Book : Cover
(c) Frame : Picture
(d) Handle : Shade
Answer
(c) Frame : Picture
A border is the outer boundary that surrounds a country, just as a frame is the outer boundary that surrounds a picture.
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- 2072 · 1 mark
Choose the word which is least like other words in a group.
(a) Telescope
(b) Microscope
(c) Binocular
(d) Thermos cope
Answer
(d) Thermos cope
Telescope, microscope and binocular are all optical instruments that magnify distant or tiny objects for viewing, whereas a thermoscope is an instrument used to detect changes in temperature — it is not an optical viewing device.
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- 2072 · 1 mark
(a) 221
(b) 333
(c) 556
(d) 777
Answer
(d) 777 — (777 \div 7 = 111) exactly.
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- 2072 · 1 mark
(a) Lady
(b) Ornament
(c) Sandals
(d) Necktie
Answer
(a) Lady
Ornament, sandals and necktie are all items worn on the body (accessories/clothing), while a lady is a person — so "Lady" is the odd one out.
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- 2072 · 1 mark
(a) Birgunj
(b) Mahendranagar
(c) Bhadrapur
(d) Itahari
Answer
(c) Bhadrapur
Bhadrapur (Jhapa) lies farthest east of the four towns. Mahendranagar (Kanchanpur) is in the far west, while Birgunj (Parsa) in the central Tarai and Itahari (Sunsari) in the east lie further west than Bhadrapur.
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- 2072 · 1 mark
(a) Cheese
(b) Butter
(c) Milk
(d) Yoghurt
Answer
(c) Milk
Cheese, butter and yoghurt are all prepared from milk, so they are milk products. Milk itself is the raw material from which these are made, not a product derived from milk.
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- 2072 · 1 mark
(a) Sit
(b) Walk
(c) Run
(d) Jog
Answer
(a) Sit
Walk, run and jog are all ways of moving on foot (modes of locomotion), while sitting is a stationary posture — so "Sit" is the odd one out.
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- 2072 · 1 mark
(a) Kabul
(b) Perth
(c) Colombo
(d) Jakarta
Answer
(b) Perth
Kabul, Colombo and Jakarta are all national capitals (Afghanistan, Sri Lanka and Indonesia respectively), whereas Perth is a city in Australia — the capital of Western Australia, not a national capital.
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- 2072 · 1 mark
(a) 91
(b) 112
(c) 135
(d) 154
Answer
(c) 135
91 = 7 × 13, 112 = 7 × 16 and 154 = 7 × 22 are all multiples of 7, while 135 = 5 × 27 is not — so 135 is the odd one out.
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- 2072 · 1 mark
(a) Reward
(b) Crime
(c) Offence
(d) Punishment
Answer
(a) Reward
Crime, offence and punishment all belong to the same group, as they relate to wrongdoing and its consequence. Reward is the odd one out because it is a positive recognition for good conduct.
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- 2072 · 1 mark
(a) Now
(b) Cow
(c) Low
(d) How
Answer
(c) Low
Cow, How and Now all end with the same /aʊ/ sound and rhyme with each other. Low ends with the /əʊ/ sound, so it is the odd one out.
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- 2072 · 1 mark
If SELDOM is coded as MODELS, then SELPER is written as
(a) REPELS
(b) PEELHR
(c) LEHPER
(d) DERHEL
Answer
(a) REPELS
SELDOM reversed is MODLES; swapping the 4th and 5th letters gives MODELS.
So SELPER reversed is REPLES; swapping the 4th and 5th letters gives REPELS.
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- 2072 · 1 mark
If 6145 stands for FADE and 9451 stands for IDEA, what does 8978 stand for?
(a) THIS
(b) NIGH
(c) HIGH
(d) THAT
Answer
(c) HIGH
From the codes: 9 = I, 4 = D, 5 = E, 1 = A, and 6 = F.
So in 8978, 9 = I and the repeated digit 8 = H, giving HIGH.
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- 2072 · 1 mark
If 2 x 3 = 812; and 4 x 5 = 1620; then 6 x 7 =
(a) 6677
(b) 6767
(c) 2428
(d) 2824
Answer
(c) 2428
Pattern: multiply each number by 4 and write the results together.
So, .
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- 2072 · 1 mark
If LNNPQSDF stands for MORE then SUQSTVSUGI stand for
(a) FRUIT
(b) FAITH
(c) TRUTH
(d) TREES
Answer
(c) TRUTH
Each letter is coded by its two neighbouring letters in the alphabet:
M → LN, O → NP, R → QS, E → DF.
So,
SU → T, QS → R, TV → U, SU → T, GI → H
= TRUTH.
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- 2071 · 1 mark
Journalist: To reconcile the need for profits sufficient to support new drug research with the moral imperative to provide medicines to those who most need them but cannot afford them, some pharmaceutical companies feel justified in selling a drug in rich nations at one price and in poor nations at a much lower price. But this practice is unjustified. A nation with a low average income may still have a substantial middle class better able to pay for new drugs than are many of the poorer citizens of an overall wealthier nation.
Which one of the following principles, if valid, most helps to justify the journalist's reasoning?
(a) People who are ill deserve more consideration than do healthy people, regardless of their relative socioeconomic positions.
(b) Wealthy institutions have an obligation to expend at least some of their resources to assist those incapable of assisting themselves.
(c) Whether one deserves special consideration depends on one's needs rather than on characteristics of the society to which one belongs.
(d) The people in wealthy nations should not have better access to health-care than do the people in poorer nations.
(e) Unequal access to health care is more unfair than an unequal distribution of wealth.
Answer
(c) Whether one deserves special consideration depends on one's needs rather than on characteristics of the society to which one belongs.
The journalist objects to pricing drugs by a nation’s average income because a poor country can still contain people who can afford to pay more, while a rich country can contain people who cannot afford to pay. Thus, the relevant factor should be the individual’s need or ability to pay, not the general wealth of the nation. Principle (c) directly supports this reasoning.
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- 2071 · 1 mark
Several critics have claimed that any contemporary poet who writes formal poetry—poetry that is rhymed and metered—is performing a politically conservative act. This is plainly false. Consider Molly Peacock and Marilyn Hacker, two contemporary poets whose poetry is almost exclusively formal and yet who are themselves politically progressive feminists.
The conclusion drawn above follows logically if which one of the following is assumed?
(a) No one who is a feminist is also politically conservative.
(b) No poet who writes unrhymed or unmetered poetry is politically conservative.
(c) Anyone who sometimes writes poetry that is not politically conservative never writes poetry that is politically conservative.
(d) No one who is politically progressive is capable of performing a politically conservative act.
(e) The content of a poet's work, not the work's form, is the most decisive factor in determining what political consequences, if any, the work will have.
Answer
(d) No one who is politically progressive is capable of performing a politically conservative act.
The argument uses Peacock and Hacker as counterexamples: they are politically progressive feminists who write formal poetry. For this to disprove the critics’ claim that writing formal poetry is a politically conservative act, we must assume that politically progressive people cannot perform politically conservative acts.
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- 2071 · 1 mark
Situation: In the island nation of Bezun, the government taxes gasoline heavily in order to induce people not to drive. It uses the revenue from the gasoline tax to subsidize electricity in order to reduce prices charged for electricity.
Analysis: The greater the success achieved in meeting the first of these objectives, the less will be the success achieved in meeting the second.
The analysis provided for the situation above would be most appropriate in which one of the following situations?
(a) A library charges a late fee in order to induce borrowers to return books promptly. The library uses revenue from the late fee to send reminders to tardy borrowers in order to reduce the incidence of overdue books.
(b) A mail-order store imposes a stiff surcharge for overnight delivery in order to limit use of this option. The store uses revenue from the surcharge to pay the extra expenses it incurs for providing the overnight delivery service.
(c) The park management charges an admission fee so that a park's users will contribute to the park's upkeep. In order to keep admission fees low, the management does not finance any new projects from them.
(d) A restaurant adds a service charge in order to spare customers the trouble of individual tips. The service charge is then shared among the restaurant's workers in order to augment their low hourly wages.
(e) The highway administration charges a toll for crossing a bridge in order to get motorists to use other routes. It uses the revenue from that toll to generate a reserve fund in order to be able one day to build a new bridge.
Answer
(e) The highway administration charges a toll for crossing a bridge in order to get motorists to use other routes. It uses the revenue from that toll to generate a reserve fund in order to be able one day to build a new bridge.
This matches the logic: the first objective is to discourage use of the taxed activity (crossing the bridge), and the revenue from that tax funds a separate second objective (building a new bridge). Greater success in reducing bridge crossings means less toll revenue, so less reserve for the new bridge — exactly the trade-off described.
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- 2071 · 1 mark
The ancient Romans understood the principles of water power very well, and in some outlying parts of their empire they made extensive and excellent use of water as an energy source. This makes it all the more striking that the Romans made do with water power in regions dominated by large cities. Which one of the following, if true, contributes most to an explanation of the difference described above in the Romans' use of water power?
(a) In heavily populated areas the introduction of water power would have been certain to cause social unrest by depriving large numbers of people of their livelihood.
(b) In the areas in which water power was not used, water flow in rivers and streams was
Answer
(a) In heavily populated areas the introduction of water power would have been certain to cause social unrest by depriving large numbers of people of their livelihood.
This explains the difference: in outlying areas there was less surplus labor, so water power was useful; in large-city regions, using water power would have displaced many workers and threatened social order, so the Romans avoided it there.
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- 2013 · 1 mark
A consumer group surveyed the prices for a certain item in five different stores, and found the average price as 10, 15 and 10
b. 20
d. $25
Answer
(a) $10
The five prices total . The four visited stores total , so the missing price is dollars.
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- 2013 · 1 mark
A student's marks on four tests are 78, 80, 71 and 78 on six tests. What is her average?
a. 77
b. 77.5
c. 78
d. 79
Answer
(a) 77
The average of the four marks is
which is nearest to 77. (The phrase "on six tests" in the question is inconsistent with the four marks given.)
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- 2013 · 1 mark
Ms. Gutierrez needs to order rope for her gym class of 32 students. Each student will receive a piece of rope that is 5 feet 8 inches long. What is the total length of rope Ms. Gutierrez needs to order for her class?
a. 106 feet
b. 154 feet 8 inches
c. 160 feet 8 inches
d. 184 feet
Answer
(d) 184 feet
Each piece is ft. For 32 students:
The closest option, which allows for a little extra rope, is 184 feet.
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- 2013 · 1 mark
In a recent survey, 80% of the community favoured building a police substation in their neighbourhood. If 15 citizens were chosen at random, what is the mean number favouring the substation?
a. 12
b. 15
c. 8
d. 10
Answer
12
This is a binomial distribution with and .
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- 2013 · 1 mark
Which of the following represents numbers greater than -3 but less than 6?
a. {x: -3 ≥ x > 6}
b. {x: -3 ≥ x ≥ 6}
c. {x: -3 < x < 6}
d. {x: -3 ≤ x ≤ 6}
Answer
{x: -3 < x < 6}
The condition "greater than -3 but less than 6" means x must be strictly greater than -3 and strictly less than 6, so both endpoints are excluded. This is written as , which matches option (c). Options (a) and (b) use (including -3) and also wrongly order the bounds, while (d) includes both endpoints.
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- 2013 · 1 mark
A man's regular pay is 168, how many hours overtime did he work?
a. 8
b. 16
c. 28
d. 48
Answer
8
Regular pay for 40 hours = (40 \times \text{Rs }3 = \text{Rs }120).
Overtime pay = (\text{Rs }168 - \text{Rs }120 = \text{Rs }48).
Overtime rate = (2 \times \text{Rs }3 = \text{Rs }6) per hour.
Overtime hours = (\frac{48}{6} = 8).
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- 2013 · 1 mark
In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is:
a. 20 m
b. 22 m
c. 24 m
d. 26 m
Answer
(c) 24 m
The length runs along the 12 columns, so there are gaps of 2 m. Adding 1 m of margin at each end:
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- 2013 · 1 mark
A contractor employs 20 male, 15 female and 5 children in his factory. Male wages are Rs 10 per day, female Rs 8 per day, and children Rs 3 per day. The weighted x of wages paid per day will be:
a. 3.86
b. 8.37
c. 9.21
d. 10.63
Answer
(b) 8.37
Weighted mean = (20×10 + 15×8 + 5×3) / (20 + 15 + 5) = (200 + 120 + 15) / 40 = 335 / 40 = 8.375 ≈ 8.37
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- 2013 · 1 mark
In a class of 50 students, 18 take music, 26 take art and 2 take both art and music. How many students in the class are not enrolled in either music or art?
a. 6
b. 8
c. 10
d. 12
Answer
8
Using .
So students in neither .
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- 2013 · 1 mark
What is/are the factor(s) of the equation y² = 64?
a. (y + 8)
b. {8}
c. (y + 8)(y - 8)
d. {-8, 8}
Answer
(c)
Writing as , the difference of squares gives . Options (b) and (d) are solutions of the equation, not factors, and (a) is only one of the two factors.
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- 2013 · 1 mark
What is the solution set of (x + 2)/(x - 2) = 3/7?
a. {-2, 3}
b. {-1, 6}
c. {-3/2, -1/2}
d. {-6, 1}
Answer
None of the options is correct. Cross-multiplying:
The solution set is , which is not listed.
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- 2013 · 1 mark
The length of a rectangular window is 5 feet more than its width. The area of the window is 36 square feet. Which equation could be used to find the dimensions of the window?
a. w(w + 5) = 36
b. w + w + 5 = 36
c. w(w - 5) = 36
d. 2w + 10 = 36
Answer
W(w + 5) = 36
Let the width be feet. Then the length is feet. Since area = length × width, we get .
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- 2013 · 1 mark
Find the slope of the line that passes through the points (-1, -1) and (2, 2).
a. 0.25
b. 0.50
c. 1
d. 1.5
Answer
1
Slope .
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- 2013 · 1 mark
A man went from city A to city B in 3.5 hours and it took him 3 hours to drive from city B to city A. He increased his speed by 10 km/hr on his way back. Find the average speed for the whole journey.
a. 120 km/hr
b. 129 km/hr
c. 125 km/hr
d. 139 km/hr
Answer
(None of the above) ( \frac{840}{13} \approx 64.62 ) km/hr.
Let the speed from A to B be (x) km/hr. Then [ 3.5x = 3(x+10) ] [ 3.5x = 3x+30 \Rightarrow 0.5x=30 \Rightarrow x=60. ] So the return speed is (70) km/hr. Distance (AB=3.5\times60=210) km. Total distance (=2\times210=420) km, total time (=3.5+3=6.5) hr. Hence average speed [ \frac{420}{6.5}=\frac{840}{13}\approx64.62\text{ km/hr}. ] Thus none of the given choices is correct. If the intended increase was (20) km/hr, then option (b) (129) km/hr would be approximately correct.
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- 2013 · 1 mark
Find the next term in the series below:
1, 5, 9, 13, 17, ...
a. 15
b. 3 + 4n
c. 2n + 1
d. 4n - 1
Answer
None of the options is correct. The series increases by 4 each time, so the next term is . The general term is , whereas option (d) gives and does not match the series.
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- 2013 · 1 mark
The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago?
a. 71 years
b. 72 years
c. 74 years
d. 75 years
Answer
71 years
Three years ago each of the three was 3 years younger, so the total decreases by 3 × 3 = 9 years.
80 − 9 = 71 years
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- 2013 · 1 mark
Two bus tickets from city A to B and three from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A?
a. Rs. 4, Rs. 23
b. Rs. 12.5, Rs. 7.5
c. Rs. 15.5 and Rs. 14.5
d. Rs. 17, Rs. 13
Answer
(d) Rs. 17, Rs. 13, but only if the order is read as C then B.
Let the fare to B be and to C be :
Subtracting gives , and adding gives , so and . The fare to B is Rs. 13 and to C is Rs. 17. Option (d) lists the values as "Rs. 17, Rs. 13", the reverse of the B, C order, so it is the only option containing these two fares.
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- 2013 · 1 mark
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
a. 25200
b. 210
c. 21400
d. 1050
Answer
25200
Choose 3 consonants from 7 and 2 vowels from 4, then arrange the 5 chosen letters:
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- 2013 · 1 mark
It is inappropriate to compensate someone if you have damaged his or her property in some way. This is called Restitution. Which situation below is the best example of Restitution?
a. Jake borrows Leslie's camera and the lens shatters when it falls on the zipper the case. When Jake returns the camera, he tells Leslie that he will pay for the repair.
b. Rebecca borrows her neighbour's car, and when she returns it, the gas tank is practically empty. She apologizes profusely and tells her neighbour she will be more considerate the next time.
c. Aaron asks Tom to check in on his apartment while he is out of town. When Tom arrives, he discovers that a pipe has burst and there is a considerable amount of water damage. He calls a plumber to repair the pipe.
d. Lisa suspects that the pothole in her company's parking lot caused her flat tire. She tells her boss that she thinks the company should pay for the repair.
Answer
Jake borrows Leslie's camera and the lens shatters when it falls on the zipper the case. When Jake returns the camera, he tells Leslie that he will pay for the repair.
Why: Restitution means making good the loss caused to someone's property — the person who damaged it compensates the owner. Only option (a) shows the borrower accepting responsibility for damage he caused and offering to pay for its repair. In (b) there is no damage, only an apology; in (c) the damage was caused by a burst pipe, not by Tom; and in (d) Lisa is merely claiming compensation for damage she herself suffered.
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- 2013 · 1 mark
Reentry occurs when a person leaves his or her social system for a period of time and then returns. Which situation below best describes Reentry?
a. When he is offered a better paying position, Vadav leaves the restaurant he manages to manage a new restaurant on the other side of town.
b. Sita is spending her junior year of college studying abroad in France.
c. Arjun is readjusting to civilian life after two years of overseas military service.
d. After several miserable months, Seema decides that she can no longer share an apartment with her roommate Hilary.
Answer
Arjun is readjusting to civilian life after two years of overseas military service.
Reentry means leaving one's social system for a period and then returning to it. Arjun left his civilian social system for two years of overseas military service and is now returning and readjusting to it — a clear case of reentry. The other options involve a job change (a), a temporary stay abroad without returning to a prior system (b), or leaving a living arrangement altogether (d).
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- 2013 · 1 mark
Select logically the best answer for the following questions.
Empty vessels make much noise is logically similar to:
a. Live and let live
b. Wise people are respected
c. Fools generally praise themselves
d. Cowards die many times before their death
Answer
(c) Fools generally praise themselves
An empty vessel has nothing inside, so it makes a loud sound when struck — just as a person with little knowledge or wisdom makes the most noise by praising himself. Both express the idea that those who lack substance are the loudest in boasting about themselves.
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- 2013 · 1 mark
Make hay while the sun shines is logically similar to:
a. Sleep when you are tired
b. Jump when you are dancing
c. Take the flood at its ride
d. None of the above
Answer
Take the flood at its ride
Both sayings carry the same idea: act at the right moment while the opportunity lasts. "Make hay while the sun shines" means do the work while conditions are favourable, and "take the flood at its ride" means seize the tide when it is at its peak. Options (a) and (b) only state a matching action for a condition, not the idea of using a passing opportunity.
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Questions from CMAT Exam Questions 2020 (CMAT entrance · 2020), CMAT Exam Questions Paper 2019 (CMAT entrance · 2019), CMAT Past Question Paper (CMAT entrance · 2074), CMAT Past Question Paper (CMAT entrance · 2072), CMAT Past Question Paper (CMAT entrance · 2071), CMAT Past Question Paper (CMAT entrance · 2013), CMAT Past Question Paper (CMAT entrance · Verbal Ability 2012), CMAT Past Question Paper (CMAT entrance) and CMAT Past Question Paper (CMAT entrance). Answers are written for this site; check them against your class notes.