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- Question
15, 16, 34, 105, 424, 2124, 12756
Options- A. 16
- B. 34
- C. 105
- D. 424
- E. 2124
- Correct Answer
- 2124
Explanation2nd term = (1st term) x 1 + 1 = 15 x 1 + 1 = 16.3rd term = (2nd term) x 2 + 2 = 16 x 2 + 2 = 34.
4th term = (3th term) x 3 + 3 = 34 x 3 + 3 = 105.
5th term = (4th term) x 4 + 4 = 105 x 4 + 4 = 424
6th term = (5th term) x 5 + 5 = 424 x 5 + 5 = 2125
∴ 6th term should 2125 instead of 2124.
More questions
- 1. If 0.764 x P = 1.236 x Q, then what is the value of (Q - P) / (Q + P)?
Options- A. 0.764
- B. 0.236
- C. 2
- D. 0.472 Discuss
Correct Answer: 0.236
Explanation:
Given, 0.764 x P = 1.236 x Q
? Q / P = 1.236 / 0.764
Now, (Q - P) / (Q + P) = [(Q/P) - 1] / [(Q/P) + 1]
? [(1.236/0.764) - 1] / [(1.236/0.764) + 1]
= (1.236 - 0.764) / (1.236 + 0.764)
= 0.472 / 2.000
= 0.236- 2. In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
Options- A. 24
- B. 26
- C. 42
- D. 46 Discuss
Correct Answer: 24
Explanation:
Let the ten's digit be x.Then, unit's digit = x + 2.
Number = 10x + (x + 2) = 11x + 2.
Sum of digits = x + (x + 2) = 2x + 2.
∴ (11x + 2)(2x + 2) = 144
⟹ 22x2 + 26x - 140 = 0
⟹ 11x2 + 13x - 70 = 0
⟹ (x - 2)(11x + 35) = 0
⟹ x = 2.
Hence, required number = 11x + 2 = 24.
- 3. On dividing a certain number by 357, the remainder is 39. On dividing the same number by 17, what will be the remainder?
Options- A. 5
- B. 3
- C. 7
- D. 6 Discuss
Correct Answer: 5
Explanation:
Let the given number be N
Therefore N = 357k + 39
Then,
357 k + 39 = ( 17 x 21k ) + ( 17 x 2 ) + 5
? Required remainder = 5- 4. A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Options- A. 220 km
- B. 224 km
- C. 230 km
- D. 234 km Discuss
Correct Answer: 224 km
Explanation:
(1/2)x + (1/2)x = 10 21 24 ⟹ x + x = 20 21 24 ⟹ 15x = 168 x 20
⟹ x = ❨ 168 x 20 ❩ = 224 km. 15 - 5. If a pipe fills a tank in 6 h, then what part of the tank will the pipe fill in 1 h?
Options- A. 1/3
- B. 1/6
- C. 1/4
- D. 1/5 Discuss
Correct Answer: 1/6
Explanation:
We know that, when a pipe fills a tank in m h, then the part of tank filled in 1 h = 1/m
Here, m = 6
? Required part of the tank to be filled in 1h = 1/6 part- 6. A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
Options- A. 145
- B. 253
- C. 370
- D. 352 Discuss
Correct Answer: 253
Explanation:
Let the middle digit be x.Then, 2x = 10 or x = 5. So, the number is either 253 or 352.
Since the number increases on reversing the digits, so the hundred's digits is smaller than the unit's digit.
Hence, required number = 253.
- 7. 8597 -? = 7429 - 4358
Options- A. 5426
- B. 5706
- C. 5526
- D. 5476
- E. None of these Discuss
Correct Answer: 5526
Explanation:
7429 Let 8597 - x = 3071 -4358 Then, x = 8597 - 3071 ---- = 5526 3071 ----
- 8. A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Options- A. 16 hrs.
- B. 20 hrs.
- C. 25 hrs.
- D. 40 hrs. Discuss
Correct Answer: 40 hrs.
Explanation:
Work done by leak in 1 hour = (1/8 - 1/10) = 1/40
? The leak will empty the cistern in 40 hours.- 9. 20 persons were invited to a party. In how many ways, they and the host can be seated at a circular table?
Options- A. 18 !
- B. 19 !
- C. 20 !
- D. Couldn't be determined Discuss
Correct Answer: 20 !
Explanation:
Total persons on the circular table
= 20 guests + 1 host = 21
They can be seated in (21 - 1) ! = 20 ! ways .- 10. An outlet pipe can empty a cistern in 3 h. In what time will the pipe empty two-third part of the cistern?
Options- A. 4 h
- B. 2 h
- C. 3 h
- D. 5 h Discuss
Correct Answer: 2 h
Explanation:
Time taken by the pipe to empty the cistern = 3 h
Then, time taken by the pipe to empty the 2/3 part = 3 x 2/3 = 2 h
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