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- Question
- A train leaves Delhi at 5 a.m. and reaches Kanpur at 10 a.m. another train leaves Kanpur at 7 a.m. and reaches Delhi at 2 p.m. at what time do the two trains meet?
Options- A. 8:45 a.m.
- B. 3:45 p.m.
- C. 6:45 a.m.
- D. data inadequate
- Correct Answer
- 8:45 a.m.
ExplanationLet the distance between Delhi and Kanpur be y km .
Suppose the train leaving from Delhi is A and the train leaving from Kanpur B
A's speed = y/ (10 a.m - 5 a.m) = y/5 km/hr.
B's Speed = y/ (2 p.m - 7 a.m) = y/7 km/hr.
Since B starts two hours later than A, the distance already covered by A at the start of B = 2y/5 km.
Remaining distance = y- 2y/5 = 3y/5 km.
Relative speed of approach of two trains = (y/5 + y/7)
= 12y/35 km/hr.
Time taken to cover the remaining distance by both trains = (3y / 5) / (12y / 35)
= (3/5) x (35/12) = 7/4 hrs.
= 1 hr. 45 min.
? The two train will meet at (7 a.m + 1hr.45 min)
= 8.45 a.m - 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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