Numbers problems
- 1. 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
- 2. 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
- 3. 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
- 4. How many numbers are there from 300 to 650 which are completely divisible by both 5 and 7?
Options- A. 8
- B. 9
- C. 10
- D. 12 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 10
- 5. Find two natural numbers whose sum is 85 andtheleast common multiple is 102.
Options- A. 30 & 55
- B. 17 & 68
- C. 35& 55
- D. 51 & 34 Also asked in: Bank Exams
Correct Answer: 51 & 34
Explanation:
Let a + b = 85?b = 85 ?a
LCM(a,b) =102?ab = 102
k?a(85 ?a) = 102k, where k is a natural number.
- 6. The sum of two numbers is equal to thrice their difference. If the smaller of the numbers is 10 find the other number.
Options- A. 15
- B. 30
- C. 40
- D. None of these Also asked in: Bank Exams
Correct Answer: None of these
Explanation:
Let larger number be x and smaller number be y.
Also, y = 10
According to question,
?(x + y) = 3((x ?y)?(x + 10) = 3(x ?10)
?2x = 40?x = 20
- 7. Which one is the largest among the fractions (5/113), (7/120), (13/145) and (17/160)?
Options- A. 5/113
- B. 7/120
- C. 13/145
- D. 17/160 Also asked in: Bank Exams
Correct Answer: 17/160
- 8. What least value which should be added to 1812 to make it divisible by 7, 11 and 14?
Options- A. 12
- B. 36
- C. 72
- D. 154 Also asked in: Bank Exams
Correct Answer: 36
- 9. Which value among 53, 64,126,27612 is the largest?
Options- A. 53
- B. 64
- C. 27612
- D. 126 Also asked in: Bank Exams
Correct Answer: 27612
- 10. How many numbers divisible by 125 can be written by using all the digits 2,3,8,7,5 exactly once?
Options- A. 4
- B. 5
- C. 6
- D. 7 Also asked in: Bank Exams
Correct Answer: 4
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