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- Question
A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely ?
Options- A. 4 hrs 15 min
- B. 3 hrs 24 min
- C. 4 hrs 51 min
- D. 3 hrs 45 min
- Correct Answer
- 3 hrs 45 min
ExplanationTime taken by one tap to fill half of the tank = 3 hrs.
Part filled by the taps in 1 hour = 4 x 1/6 = 2/3
Remaining part = 1 - 1/2 = 1/2
2/3 : 1/2 :: 1 : p
p = 1/2 x 1 x 3/2 = 3/4 hrs. i.e., 45 min
So, total time taken = 3 hrs 45 min.
- 1. The least number by which 176 be multiplied to make the result a perfect square is?
Options- A. 8
- B. 9
- C. 10
- D. 11 Discuss
- 2. A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 22.09, the number of members in the group is?
Options- A. 37
- B. 47
- C. 107
- D. 43 Discuss
- 3. If ? 256 / ? x = 2, then x is equal to?
Options- A. 64
- B. 128
- C. 512
- D. 1024 Discuss
- 4. If N = 11 9/ 16 then ? N =?
Options- A. 13/4
- B. 11/4
- C. 1.125
- D. None of these Discuss
- 5. If x = ?3 + ?2, then the value of (x + 1)/(x - 1) - (x - 1)/(x + 1) is?
Options- A. ?3
- B. ?2
- C. ?6
- D. None of above Discuss
- 6. Which among ?8 and ?1000 is greater?
Options- A. ?8
- B. ?1000
- C. Both are equal
- D. None of these Discuss
- 7. Which among ?81 and ?1 is smaller?
Options- A. ?81
- B. ?1
- C. Both are equal
- D. None of these Discuss
- 8. IF (14) 3 is added to the square of a number, the answer to obtained is 4425. What is the number?
Options- A. 1849
- B. 43
- C. 41
- D. 1681 Discuss
- 9. Which among ?10 and ?8 is greater?
Options- A. ?10
- B. ?8
- C. Both are equal
- D. None of these Discuss
- 10. Find the least number which multiplied with 74088 will make it a perfect square?
Options- A. 42
- B. 44
- C. 46
- D. 48 Discuss
More questions
Correct Answer: 11
Explanation:
176 = 2 x 2 x 2 x 2 x 11
So, in order to make it a perfect square, it must be multiplied by 11.
Correct Answer: 47
Explanation:
Number of members = ?2209
= 47
Correct Answer: 64
Explanation:
?256 / ?x = 2
? 16 = 2?x
? ?x = 8
? x = 64.
Correct Answer: 11/4
Explanation:
N = 25/16
? ?N = ?25/16
= 5/4
= 11/4
Correct Answer: ?2
Explanation:
(x + 1)/(x - 1) - (x - 1)/(x + 1) = {(x + 1)2 - (x - 1)2} / {(x - 1) (x + 1)}
= (x2 + 1 + 2x) - (x2 + 1 - 2x) / (x2 - 1)
= 4x / (x2 - 1) = 4(?3 + ?2) / {(?3 + ?2)2 - 1}
= 4(?3 + ?2) / (3 + 2 + 2?6 - 1) = 4(?3 + ?2) / (4 + 2 ?6)
= 4(?3 + ?2) / 2 ?2 (?3 + ?2)
= ?2
Correct Answer: ?1000
Explanation:
?8 and ?1000 = 81/3 and 10001/3
Since 1000 > 8
? ?1000 > ?8
Correct Answer: ?1
Explanation:
?81 and ?1 = 811/2 and 11/2
Since, 1 < 81
? ?1 < ?81
Correct Answer: 41
Explanation:
Let the number be x.
According to the question,
x2 + (14)3 = 4425
? x2 = 4425 - (14)3
? x2 = 4425 - 2744
? x2 = 1681
? x = ?1681 = 41
Correct Answer: ?8
Explanation:
?10 and ?8 = 101/4 and 81/3
Since, LCM of 4 and 3 is 12.
? 101/4 = 103/12 = (103)1/12 = (1000)1/12 = 12?1000
and 81/3 = 84/12 = (84)1/12 (4096)1/2 = 12?4096
? 4096 > 1000
Hence, 81/3 >101/4
? ?8 > ?10
Correct Answer: 42
Explanation:
74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7
= (2 x 2) x (3 x 3) x (7 x 7) x ( 2 x 3 x 7)
? Least number which should be multiplied to 74088 to make it a perfect suqare = 2 x 3 x 7 = 42
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