GATE Questions

Q:

What will come in place of the question mark in the series below?

2, 17, 89, 359, 1079, ?

A) 2137 B) 2121
C) 2377 D) 2159
 
Answer & Explanation Answer: D) 2159

Explanation:

Ans. 
17 = 2 x 6 + 5
89 = 17 x 5 + 4
359 = 89 x 4 + 3
1079 = 359 x 3 + 2
? = 1079 x 2 + 1, i.e. ? = 2159

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Q:

What will come in place of the question mark in the series below?

3, 5, 15, 45, 113, ?

A) 250 B) 243
C) 247 D) 261
 
Answer & Explanation Answer: B) 243

Explanation:

Ans. 
5 = 3 + (13 + 1)
15 = 5 + (23 + 2)
45 = 15 + (33 + 3)
113 = 45 + (43 + 4)
? = 113 + (53 + 5), i.e. ? = 243

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0 5162
Q:

What will come in place of the question mark in the series below?

7, 4.5, 5.5, 12, 49, ?

A) 393 B) 396
C) 354 D) 367
 
Answer & Explanation Answer: A) 393

Explanation:

Ans. 
4.5 = 7 x 0.5 + 1
5.5 = 4.5 x 1 + 1
12 = 5.5 x 2 + 1
49 = 12 x 4 + 1
? = 49 x 8 + 1, i.e. ? = 393

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2 4821
Q:

What will come in place of the question mark (?) in the following number series?

3240, 540, 108, 27, ?, 4.5

A) 7 B) 10
C) 9 D) 8
 
Answer & Explanation Answer: C) 9

Explanation:

Ans. 
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9

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1 6528
Q:

What should come in place of question mark (?) in the following question? (You do not have to calculate the exact value.)

(√80.997 - √25.001) × (√120.98 + √16.02) = ?

A) 20 B) 30
C) 40 D) 50
 
Answer & Explanation Answer:

Explanation:

Ans. 
Approximating the values:
(√81 - √25) × (√121 + √16) = ?
(9 - 5) × (11 + 4) = ?
4 × 15 = ?
? = 60

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0 923
Q:

What will come in the place of question mark (?) in the following question (You do not have to calculate the exact value)?

53.01 - 345.02 ÷ 22.99 = 2 ×(?)

A) 14 B) 19
C) 24 D) 54
 
Answer & Explanation Answer: B) 19

Explanation:

Ans. 
53 - 345 ÷ 23 = 2 ×(?)
53 - 15 = 2 ×(?)
38 = 2 ×(?)
? = 19

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0 1066
Q:

What will come in the place of question mark (?) in the following question (You do not have to calculate the exact value)?

(184.002 - 29 ÷ 5) × 29.997 = ?

A) 5140 B) 5240
C) 5340 D) 5440
 
Answer & Explanation Answer: C) 5340

Explanation:

Ans.
(184 - 6) × 30 = ?
178 × 30 = ?
? = 5340

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0 855
Q:

What will come in the place of question mark (?) in the following question (You do not have to calculate the exact value)?

√(3099.985 ÷ 62.001 + 14.001) = ?

A) 8 B) 13
C) 18 D) 23
 
Answer & Explanation Answer: A) 8

Explanation:

Ans. 
√(3100 ÷ 62 + 14) = ?
√(50 + 14) = ?
√64 = ?
? = 8

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