Previous Year Questions

X = Y - 11

X = 1 - 11 = -10 (not possible)

X = 4 - 11 = -7 (not possible)

X = 9 - 11 = -2 (not possible)

X = 16 - 11 = 5

Product of X and Y = 5*16 = 80 < 100

X = 25 - 11 = 14

Product of X and Y = 14*25 = 350 > 100

X = 5 and Y = 16

Series 1:

X², 2Y + 3, 11X, 5(Y + 3), 175, ?

5², 2*16 + 3, 11*5, 5(16 + 3), 175, ?

25, 35, 55, 95, 175, ?

25 + 10 = 35

35 + 20 = 55

55 + 40 = 95

95 + 80 = 175

175 + 160 = 335

Missing term = 335

Series 2:

3∛(4Y), 3X - 2, Y, 5X + 7, ?, XYZ + 13

= 3∛(4*16), 3*5 - 2, 16, 5*5 + 7, ?, 5*16*Z + 13

= 12, 13, 16, 32, ?, 80Z + 13

12 + 2⁰ = 13

13 + 3¹ = 16

16 + 4² = 32

32 + 5³ = 157

157 + 6⁴ = 1453

Missing term = 157

80Z + 13 = 1453

Z = 18

From I:

Missing term of series 1 = 335

Missing term of series 2 = 157

Missing term of series 1 = 2 * missing term of series 2 + 21 = 2*157 + 21 = 335

From II:

(Z - Y) = 18 - 16 = 2 is a prime number.

From III:

LCM of X, Y and Z = LCM of 5, 16 and 18 = 720

Hence, option 'e' is correct.