Numbers problems
- 1. Direction: What should come in the place of question mark (?) in the following number series? 9, 11, 16, 26, ?, 69
Options- A. 31
- B. 38
- C. 43
- D. 45 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 43
Explanation:
Double Difference pattern is followed in the above series. +2, +5, + 10, +17, +26
- 2. Find two numbers whose sum is 29 and the product is 100.
Options- A. 20, 5
- B. 20, 9
- C. 25, 4
- D. 10, 10 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 25, 4
- 3. Product of digits of a 2-digit number is 72. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.
Options- A. 98
- B. 89
- C. 78
- D. 87 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 89
- 4. Product of digits of a 2-digit number is 18. If we add 63 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.
Options- A. 92
- B. 29
- C. 36
- D. 63 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 29
- 5. The sum of a non-zero number and its reciprocal is 2. What is the number?
Options- A. 1
- B. 2
- C. 0
- D. 4 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 1
- 6. Direction: What should come in the place of question mark (?) in the following number series? 2, 3, 6, 15, 45, ?
Options- A. 90
- B. 135
- C. 157.5
- D. 200 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 157.5
Explanation:
The pattern followed is *1.5 , * 2 , *2.5 , *3 , *3.5
- 7. Direction: What should come in the place of question mark (?) in the following number series? 3, 4, 10, 33, 136, ?
Options- A. 150
- B. 298
- C. 463
- D. 572 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer:
Explanation:
The pattern followed is *1 + 1, *2 +2 , *3 + 3 , *4 + 4 , *5 + 5
- 8. 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
- 9. 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
- 10. 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
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