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- Question
What is the largest 4 digit number that is exactly divisible by 93?
Options- A. 9961
- B. 9971
- C. 9981
- D. 9951
- Correct Answer
- 9951
- 1. The least number which when divides 37044, gives the result a perfect cube, is:
Options- A. 2
- B. 4
- C. 14
- D. 21 Discuss
- 2. The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term?
Options- A. 25
- B. 29
- C. 21
- D. 33 Discuss
- 3. Of the 3 numbers whose average is 64, the first number is 1/3 times the sum of other 2. The first number is
Options- A. 72
- B. 32
- C. 96
- D. 48 Discuss
- 4. Divide 20 into two parts such that the sum of the square of the parts is 232. What is the value of the two parts?
Options- A. 6, 14
- B. 8, 12
- C. 4, 16
- D. 10, 10 Discuss
- 5. Find the average of all prime numbers between 20 and 50.
Options- A. 35.857
- B. 35.657
- C. 34.857
- D. 36.657 Discuss
- 6. The 4th and 7th term of an arithmetic progression are 11 and -4 respectively. What is the 15th term?
Options- A. -49
- B. -44
- C. -39
- D. -34 Discuss
- 7. 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 Discuss
- 8. 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 Discuss
- 9. What is the value of 10.2+10.02+10.002+... upto 9 terms
Options- A. 222222222
- B. 111111111
- C. 555555555
- D. 525252525 Discuss
- 10. 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 Discuss
Numbers problems
Search Results
Correct Answer: 4
Correct Answer: 21
Correct Answer: 48
Correct Answer: 6, 14
Correct Answer: 35.857
Correct Answer: -44
Correct Answer: 3
Correct Answer: -11
Correct Answer: 555555555
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.
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