Analogy (SSC CGL 2019 Tier 1)

Total Questions: 11

1. Select the option in which the numbers are related in the same way as are the numbers in the given set. [S.S.C CGL 03/03/2020 (Morning)]

(269, 278, 296)

Correct Answer: (c) (313, 322, 340)
Solution:The pattern followed here is :

(a, b, c) → a + 9 = b & b + 18 = c

(269, 278, 296) → 269 + 9 = 278 & 278 + 18 = 296

Similarly,

(313, 322, 340) → 313 + 9 = 322 & 322 + 18 = 340

Hence, "(313, 322, 340)" is the correct answer.

2. Select the option that is related to the third number in the same way as the second number is related to the first number. [S.S.C CGL 03/03/2020 (Evening)]

7 : 329 :: 9 : ?

Correct Answer: (a) 711
Solution:The pattern followed here is :

(a : b) → {a³ - (2 × a)} = b

(7 : 329) → {7³ - (2 × 7)} ⇒ 343 - 14 = 329

Similarly,

(9 : ?) → {9³ - (2 × 9)} ⇒ 729 - 18 = 711

Hence, "711" is the correct answer.

3. Select the option in which the number set shares the same relationship as that shared by the given number set. [S.S.C CGL 04/03/2020 (Evening)]

(17, 24, 45)

Correct Answer: (d) (12, 19, 40)
Solution:The pattern followed here is :

(a, b, c) → a + 7 = b & b + 21 = c

(17, 24, 45) → 17 + 7 = 24  & 24 + 21 = 45 

Similarly,

(12, 19, 40) → 12 + 7 = 19  & 19 + 21 = 40

Hence, "(12, 19, 40)" is the correct answer. 

4. Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number. [S.S.C CGL 05/03/2020 (Morning)]

72 : 108 :: 84 : ? :: 102 : 153

Correct Answer: (a) 126
Solution:The pattern followed here is :

(a : b) → (6 : 9) (simplest form)

(72 : 108) → (6 : 9)

(102 : 153) → (6 : 9)

Similarly,

(84 : 126) → (6 : 9)

Hence, "126" is the correct answer.

5. Select the option in which the numbers are related in the same way as are the numbers in the given set. [S.S.C CGL 05/03/2020 (Afternoon)]

(7, 98, 196)

Correct Answer: (b) (11, 154, 308)
Solution:The pattern followed here is :

(a, b, c) → a × 14 = b & b × 28 = c

(7, 98, 196) → 7 × 14 = 98 & 7 × 28 = 196

Similarly,

(11, 154, 308) → 11 × 14 = 154 & 11 × 28 = 308

Hence, "(11, 154, 308)" is the correct answer.

6. Select the option that is related to the third number in the same way as the second number is related to the first. number. [S.S.C CGL 05/03/2020 (Evening)]

(13 : 109)

(24 : ?)

Correct Answer: (d) 197
Solution:The pattern followed here is :

(a : b) → {(a × 8) + 5} = b

(13 : 109) → {(13 × 8) + 5} ⇒ 104 + 5 = 109

Similarly,

(24 : ?) → {(24 × 8) + 5} ⇒ 192 + 5 = 197

Hence, "197" is the correct answer.

7. Select the option in which the numbers are related in the same way as are the numbers in the given set. [S.S.C CGL 05/03/2020 (Evening)]

(8, 7, 407)

Correct Answer: (d) (9, 6, 297)
Solution:

Similarly,

(9, 6, 297) → 9  + ⇒ 81 + 216 = 297 

Hence, "(9, 6, 297)" is the correct answer.

8. Select the option in which the numbers are related in the same way as are the numbers in the given set. [S.S.C CGL 06/03/2020 (Evening)]

(14, 18, 277)

Correct Answer: (c) (20, 22, 521)
Solution:

(a, b, c) → {a² + (b ÷ 2)²} = c

(14, 18, 277) → {14² + (18 ÷ 2)²} ⇒ 196 + 81 = 277

Similarly,

(20, 22, 521) → {20² + (22 ÷ 2)²} ⇒ 400 + 121 = 521

Hence, "(20, 22, 521)" is the correct answer.

9. Select the option that is related to the third number in the same way as the second number is related to the first number. [S.S.C CGL 07/03/2020 (Afternoon)]

11 : 265 :: 20 : ?

Correct Answer: (b) 841
Solution:

(a : b) → {(2a + 2)a + 1} = b

(11 : 265) → {(2 × 11 + 2)11 + 1} ⇒ 24 × 11 + 1 ⇒ 264 + 1 = 265

Similarly,

(20 : ?) → {(2 × 20 + 2)20 + 1} ⇒ 42 × 20 + 1 ⇒ 840 + 1 = 841

Hence, "841" is the correct answer.

10. Select the option that is related to the third number in the same way as the second number is related to the first number. [S.S.C CGL 07/03/2020 (Evening)]

3 : 20 :: 7 : ?

Correct Answer: (d) 100
Solution:The pattern followed here is:

(a : b) → {(a² + 1) × 2} = b

(3 : 20) → {(3² + 1) × 2} ⇒ 10 × 2 = 20

Similarly,

(7 : ?) → {(7² + 1) × 2} ⇒ 50 × 2 = 100

Hence, '100' is the correct answer.