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- Question
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
Options- A. 8 kmph
- B. 11 kmph
- C. 12 kmph
- D. 14 kmph
- Correct Answer
- 12 kmph
ExplanationLet the distance travelled by x km.Then, x - x = 2 10 15 ⟹ 3x - 2x = 60
⟹ x = 60 km.
Time taken to travel 60 km at 10 km/hr = ❨ 60 ❩hrs = 6 hrs. 10 So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
∴ Required speed = ❨ 60 ❩kmph. = 12 kmph. 5
More questions
- 1. In center of a triangle lies in the interior of :
Options- A. an isosceles triangle only
- B. any triangle
- C. an equilateral triangle only
- D. a right triangle only Discuss
Correct Answer: any triangle
Explanation:
We know that In center of every triangle ( acute , obtuse and right angle ) lies in its interior.
Hence required answer will be any triangle .- 2.
If (5x2 ? 3y2) : xy = 11 : 2, then the positive value of x is : y
Options- A. 7 2
- B. 5 2
- C. 3 2
- D. 5 3 Discuss
Correct Answer: 3 2
Explanation:
- 3.
4.2 x 4.2 - 1.9 x 1.9 is equal to: 2.3 x 6.1
Options- A. 0.5
- B. 1.0
- C. 20
- D. 22 Discuss
Correct Answer: 1.0
Explanation:
Given Expression = (a2 - b2) = (a2 - b2) = 1. (a + b)(a - b) (a2 - b2) - 4. The square root of (7 + 3√5) (7 - 3√5) is
Options- A. √5
- B. 2
- C. 4
- D. 3√5 Discuss
Correct Answer: 2
Explanation:
(7 + 3√5)(7 - 3√5) = (7)2 - (3√5)2 = √49 - 45 = √4 = 2. - 5.
If √5 = 2.236, then the value of √5 - 10 + √125 is equal to: 2 √5
Options- A. 5.59
- B. 7.826
- C. 8.944
- D. 10.062 Discuss
Correct Answer: 7.826
Explanation:
√5 - 10 + √125 = (√5)2 - 20 + 2√5 x 5√5 2 √5 2√5 = 5 - 20 + 50 2√5 = 35 x √5 2√5 √5 = 35√5 10 = 7 x 2.236 2 = 7 x 1.118 = 7.826 - 6.
If log10 7 = a, then log10 ❨ 1 ❩ is equal to: 70
Options- A. - (1 + a)
- B. (1 + a)-1
- C.
a 10 - D.
1 10a
Discuss
Correct Answer: - (1 + a)
Explanation:
log10 ❨ 1 ❩ 70 = log10 1 - log10 70 = - log10 (7 x 10) = - (log10 7 + log10 10) = - (a + 1). - 7.
log √8 is equal to: log 8
Options- A.
1 √8 - B.
1 4 - C.
1 2 - D.
1 8
Discuss
Correct Answer:1 2
Explanation:
log √8 = log (8)1/2 = ½log 8 = 1 . log 8 log 8 log 8 2 - 8.
The value of ❨ 1 + 1 + 1 ❩ is: log3 60 log4 60 log5 60
Options- A. 0
- B. 1
- C. 5
- D. 60 Discuss
Correct Answer: 1
Explanation:
Given expression = log60 3 + log60 4 + log60 5 = log60 (3 x 4 x 5) = log60 60 = 1. - 9.
.009 = .01 ?
Options- A. .0009
- B. .09
- C. .9
- D. 9 Discuss
Correct Answer: .9
Explanation:
Let .009 = .01; Then x = .009 = .9 = .9 x .01 1 - 10.
Evaluate : (2.39)2 - (1.61)2 2.39 - 1.61
Options- A. 2
- B. 4
- C. 6
- D. 8 Discuss
Correct Answer: 4
Explanation:
Given Expression = a2 - b2 = (a + b)(a - b) = (a + b) = (2.39 + 1.61) = 4. a - b (a - b)
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