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- Question
In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:
Options- A. 18 m
- B. 20 m
- C. 27 m
- D. 9 m
- Correct Answer
- 20 m
ExplanationA : B = 100 : 90.A : C = 100 : 72.
B : C = B x A = 90 x 100 = 90 . A C 100 72 72 When B runs 90 m, C runs 72 m.
When B runs 100 m, C runs ❨ 72 x 100 ❩m = 80 m. 90 ∴ B can give C 20 m.
More questions
- 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
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.- 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
Correct Answer: 47
Explanation:
Number of members = ?2209
= 47- 3. If ? 256 / ? x = 2, then x is equal to?
Options- A. 64
- B. 128
- C. 512
- D. 1024 Discuss
Correct Answer: 64
Explanation:
?256 / ?x = 2
? 16 = 2?x
? ?x = 8
? x = 64.- 4. If N = 11 9/ 16 then ? N =?
Options- A. 13/4
- B. 11/4
- C. 1.125
- D. None of these Discuss
Correct Answer: 11/4
Explanation:
N = 25/16
? ?N = ?25/16
= 5/4
= 11/4- 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
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- 6. Which among ?8 and ?1000 is greater?
Options- A. ?8
- B. ?1000
- C. Both are equal
- D. None of these Discuss
Correct Answer: ?1000
Explanation:
?8 and ?1000 = 81/3 and 10001/3
Since 1000 > 8
? ?1000 > ?8- 7. Which among ?81 and ?1 is smaller?
Options- A. ?81
- B. ?1
- C. Both are equal
- D. None of these Discuss
Correct Answer: ?1
Explanation:
?81 and ?1 = 811/2 and 11/2
Since, 1 < 81
? ?1 < ?81- 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
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- 9. Which among ?10 and ?8 is greater?
Options- A. ?10
- B. ?8
- C. Both are equal
- D. None of these Discuss
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- 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
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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