Numbers problems
- 1. Direction: What should come in the place of question mark (?) in the following number series? 7, 10, 16, 28, ?, 100
Options- A. 34
- B. 40
- C. 52
- D. 60 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 52
Explanation:
The pattern followed is +3 , +6 , +12 , +24 , +48
- 2. Direction: What should come in the place of question mark (?) in the following number series? 24, 25, ?, 41, -8, 73
Options- A. 13
- B. 16
- C. 25
- D. 43 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 16
Explanation:
The pattern followed is
- 3. There are four consecutive even integers. Sum of the reciprocals of the first two number is (11/60). Find the reciprocal of third largest number of the series.
Options- A. 1/12
- B. 2/14
- C. 1/14
- D. 2/13 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 1/14
Explanation:
Ans. C.
Let 4 consecutive even numbers are x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x 2 + 22x
11x 2 - 98x ? 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14
- 4. What will come in place of the question mark (?) in the following number series? 3240, 540, 108, 27, ?, 4.5
Options- A. 7
- B. 10
- C. 9
- D. 8 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 9
Explanation:
Ans.
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9
- 5. What will come in place of the question mark in the series below? 3, 5, 15, 45, 113, ?
Options- A. 250
- B. 243
- C. 247
- D. 261 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 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
- 6. What will come in place of the question mark in the series below? 2, 17, 89, 359, 1079, ?
Options- A. 2137
- B. 2121
- C. 2377
- D. 2159 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 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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