Quantitative Aptitude and Numerical Reasoning

(d) HGF

Comparing UTS and FDC letter by letter gives shifts of about $-15$ to $-16$ places, and the only option that applies one steady backward shift to every letter of WVU is HGF: $W\to H$, $V\to G$, $U\to F$ (each $-15$). The first letter pair $U\to F$ also uses the same $-15$ shift as $U\to F$ in the given pair, so (d) is the best fit. The other options (YVW, WXY, UVW) are built from letters of the stem itself and show no consistent shift.

None of the given options works.

Test each pair, using BODMAS:

• (a) $9 \div 6 \times 3 = 1.5 \times 3 = 4.5$
• (b) $9 - 6 + 3 = 6$
• (c) $9 \div 6 + 3 = 4.5$
• (d) $9 + 6 + 3 = 18$

None equals 27. The signs that do give 27 are $+,\ \times$, since $9 + 6 \times 3 = 9 + 18 = 27$, but this pair is not listed, so the question has a misprint in its options.

(a) IARYN

In LIGHT → GILTH, the 1st and 3rd letters are swapped, and the 4th and 5th letters are swapped:

• RAINY → swap R and I → IARNY
• then swap N and Y → IARYN

(a) A and B

The honest persons are D, C and E. So those who are not honest are A and B.

(a) 17

Each number in the bottom row is obtained by multiplying the number above it by 2 and adding 1:

$2 \times 2 + 1 = 5$
$6 \times 2 + 1 = 13$
$8 \times 2 + 1 = 17$
$12 \times 2 + 1 = 25$
$17 \times 2 + 1 = 35$

So the missing number is 17.