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- Question
- The average of 4 consecutive even numbers is 27. What is the greatest number
Options- A. 28
- B. 26
- C. 32
- D. 30
- Correct Answer
- 30
ExplanationLet the four consecutive even number are x, ( x+2), (x+4), (x+6).
Clearly this is a series of consecutive even numbers
According to the formula,
Average of consecutive numbers = (first number + last number)/ 2
? 27 = [x + (x + 6)]/2
? x + 3 = 27
? x =24
? Greatest number = 4th consecutive even number = (x + 6) = 24 + 6 = 30 - 1. 22.5% of 1350 + 135% of 225 =?
Options- A. 570
- B. 610
- C. 670
- D. 630 Discuss
- 2. 3 women and 18 children together take 2 days to complete a piece of work. How many days will 9 children alone take to complete the piece of work, if 6 women alone can complete the piece of work in 3 days?
Options- A. 9
- B. 7
- C. 5
- D. 6 Discuss
- 3. How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels. If all the letters are different?
Options- A. 251820
- B. 258120
- C. 281520
- D. 285120 Discuss
- 4. 12 persons are to be arranged to a round table. If two particular persons among them are not to be side by side, the total number of arrangements is?
Options- A. 9 (10!)
- B. 2 (10!)
- C. 45 (8!)
- D. 10! Discuss
- 5. The length of train is equal to the length of the platform. Suppose the train is running at a speed of 72 km/hr and it crosses a platform in 2 minutes. What is then the length of the train?
Options- A. 620 m
- B. 500 m
- C. 550 m
- D. 600 m Discuss
- 6. (15.96) 2 + 75% of 285 =?
Options- A. 435
- B. 485
- C. 440
- D. 470 Discuss
- 7. The smallest number, which when diminished by 3, is divisible by 21, 28, 36 and 45 is?
Options- A. 420
- B. 1257
- C. 1260
- D. 1263 Discuss
- 8.
The banker's gain on a certain sum due 1 1 years hence is 3 of the banker's 2 25 discount. The rate percent is:
Options- A.
5 1 % 5 - B.
9 1 % 11 - C.
8 1 % 8 - D.
6 1 % 6
Discuss
- 9. If two marbles are picked at random, what is the probability that both marbles are red?
Options- A. 1/6
- B. 1/3
- C. 2/15
- D. None of the above Discuss
- 10. A and B together have Rs. 1210. If 4⁄15 of A's amount is equal to ⅖ of B's amount, how much amount does B have?
Options- A. Rs. 460
- B. Rs. 484
- C. Rs. 550
- D. Rs. 664 Discuss
More questions
Correct Answer: 610
Explanation:
? = 22.5% of 1350 + 135 % of 225
= (1350 x 225)/100 + (225 x 135)/100
= 303.75 + 303.75 = 607.5 ? 610
Correct Answer: 6
Explanation:
Since, 3 women + 18 children complete work in 2 days. Therefore, (3 x 2) women + (18 x 2) children complete work in 1 days i.e, 6 women + 36 children complete work in 1 day.
Work of 36 children for 1 day = 1 - (1/3) = 2/3
[? work of 6 women for 1 day = 1/3]
? 36 children do 2/3 part of the work in 1 day.
36 children can do the work in 3/2 days.
9 children can do the the work in (3/2) x 4 = 6 days
Correct Answer: 285120
Explanation:
Required no. of words = 12P4 x 4P3
= 12 x 11 x 10 x 9 x 4 x 3 x 2
= 120(100 - 1) x 24
= 288000 - 2880
= 285120
Correct Answer: 9 (10!)
Explanation:
12 persons can be seated around a round table in 11! ways. The total number of ways in which 2 particular persons sit side by side = 10! x 2!.
Hence, the required number of arrangements = 11! - 10! x 2! = 9 x (10!)
Correct Answer: 600 m
Explanation:
Speed in m/sec = 36km/hr x (5/18) = 10 m/sec
Given, Time taken by train to cross the platform = 2 min = 120 sec
Therefore, the distance covered by train in crossing the platform = 10 m/sec x 120 sec = 1200 m
Now, distance covered by train in crossing the platform = Length of train + Length of Platform
Given, Length of train = Length of Platform = x
Therefore, 2x = 1200
so, x = Length of train = 1200/2 = 600 m
Correct Answer: 470
Explanation:
? = (15.96)2 + 75 % of 285
? (16)2 + 214 = 256 + 214 = 470
Correct Answer: 1263
Explanation:
Required number = (L . C . M of 21, 28, 36, 45 ) + 3
= (1260 + 3 )
= 1263
Correct Answer:
| 9 | 1 | % |
| 11 |
Explanation:
| Then, B.G. = Re. | 3 | . |
| 25 |
| ∴ T.D. = (B.D. - B.G.) = Re. | ❨ | 1 - | 3 | ❩ | = Re. | 22 | . |
| 25 | 25 |
| Sum = | ❨ | 1 x (22/25) | ❩ | = Rs. | 22 | . |
| 1-(22/25) | 3 |
| S.I. on Rs. | 22 | for 1 | 1 | years is Re. 1. |
| 3 | 2 |
| ∴ Rate = | ❨ | 100 x 1 | ❩% |
|
|||||||
|
Correct Answer: None of the above
Explanation:
Total number of marbles = 6 + 4 + 2 + 3 = 15
Ways of selection of two red marbles = n(E) = 6C2
Ways of selection of two marbles = n(S) = 15C2
So, required probability = (6C2) / (15C2)
= (6 x 5) / (15 x 14) = 1/7
Correct Answer: Rs. 484
Explanation:
| 4 | A | = | 2 | B | |
| 15 | 5 |
| ⟹ A = | ❨ | 2 | x | 15 | ❩B |
| 5 | 4 |
| ⟹ A = | 3 | B |
| 2 |
| ⟹ | A | = | 3 |
| B | 2 |
⟹ A : B = 3 : 2.
| ∴ B's share = Rs. | ❨ | 1210 x | 2 | ❩ | = Rs. 484. |
| 5 |
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