Numbers problems
- 1. The sum of 10 terms of the arithmetic series is 390. If the third term of the series is 19. Find the first term
Options- A. 3
- B. 5
- C. 7
- D. 8 Also asked in: Bank Exams
Correct Answer: 3
- 2. What is the sum of the first 11 terms of an arithmetic progression if the first term is -31 and last term is 29?
Options- A. 42
- B. -11
- C. 28
- D. 12 Also asked in: Bank Exams
Correct Answer: -11
- 3. What is the value of 10.2+10.02+10.002+... upto 9 terms
Options- A. 222222222
- B. 111111111
- C. 555555555
- D. 525252525 Also asked in: Bank Exams
Correct Answer: 555555555
- 4. The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.
Options- A. 10 & 12
- B. 10 & 18
- C. 12 & -18
- D. -12 & 18 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, IT Trainer
Correct Answer: -12 & 18
Explanation:
Given, difference of the squares of two numbers is 180.
= k2 - l2 - 180
Also, square of the smaller number is 8 times the larger.
= l2 = 8k
Thus, k2 - 8a - 180 = 0
k2 ? 18k + 10k - 180 = 0
? k(k - 18) + 10(k ? 18) = 0
= (k + 10)(k ? 18) = 0
? k = -10, 18
Thus, the other number is
324 - 180 = l2
? Numbers are 12, 18 or -12, 18.
- 5. 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
- 6. What will come in the place of the question mark (?) in the following number series?305, 338, 404, 503, 635 , (?)
Options- A. 820
- B. 880
- C. 800
- D. 890 Also asked in: Bank Exams
Correct Answer: 800
- 7. What will be the next set of numbers in the series? (2,3), (3,5), (5,7), (7,11), (11,13), ___
Options- A. 13,15
- B. 15,17
- C. 13,17
- D. 13,19 Also asked in: Bank Exams
Correct Answer: 13,17
- 8. All rational numbers are ____ numbers.
Options- A. integer
- B. whole
- C. irrational
- D. real Also asked in: Bank Exams
Correct Answer: real
- 9. What is the least number that can be multiplied to 69120 to make it a perfect cube?
Options- A. 10
- B. 50
- C. 25
- D. 5 Also asked in: Bank Exams
Correct Answer: 25
- 10. What is the least number that when divided by 63 and 105 leaves remainder 4 in each case?
Options- A. 634
- B. 256
- C. 214
- D. 319 Also asked in: Bank Exams
Correct Answer: 319
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