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- Question
In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
Options- A. 60m
- B. 40m
- C. 20m
- D. 10m
- Correct Answer
- 20m
ExplanationTo reach the winning post A will have to cover a distance of (500 - 140)m, i.e., 360 m.
While A covers 3 m, B covers 4 m.
While A covers 360 m, B covers (4/3)*360 = 480 m.
Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.
A wins by 20 m.
- 1. In the following questions two equations numbered I and II are given. You have to solve boththe equations and give answers I. 2x ² ?21x + 54 = 0 II. y ² ?14y + 49 = 0
Options- A. x = y or relation can?t be established between x and y
- B. x > y
- C. x < y
- D. x ? y Discuss
- 2. The distance of the college and home of Rajeev is 80km. One day he was late by 1 hour than the normal time to leave for the college, so he increased his speed by 4km/h and thus he reached to college at the normal time. What is the changed (or increased) speed of Rajeev?
Options- A. 28 km/h
- B. 30 km/h
- C. 40 km/h
- D. 20 km/h Discuss
- 3. What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)? ?580×?510+ 49.999 x 3.999=?
Options- A. 384
- B. 392
- C. 410
- D. 372 Discuss
- 4. A train with 120 wagons crosses Arun who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts overtaking the Arun ( he is riding on the horse) before it starts overtaking the Sriram( who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much time (in seconds) after the train has crossed the Sriram do the Arun meets to Sriram?
Options- A. 3560 sec
- B. 3600 sec
- C. 3576 sec
- D. can't be determined Discuss
- 5. What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)?(55.01+16.0003)×22.01÷10.998 =?
Options- A. 190
- B. 130
- C. 110
- D. 142 Discuss
- 6. The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is
Options- A. 720
- B. 180
- C. 75
- D. 65 Discuss
- 7. What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)? 499.99 + 1999 ÷ 39.99 × 50.01=?
Options- A. 3200
- B. 2700
- C. 3000
- D. 2500 Discuss
- 8. The ratio between the speeds of two trains is 7: 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is ?
Options- A. 83.5 km/hr
- B. 84.5 km/hr
- C. 86.5 km/hr
- D. 87.5 km/hr Discuss
- 9. The value of -261+(-380)-(-521)+821-(-121)
Options- A. 833
- B. 825
- C. 822
- D. 800 Discuss
- 10. Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?
Options- A. 10
- B. 8
- C. 6
- D. 4 Discuss
More questions
Correct Answer: x < y
Explanation:
I. 2x ² ?21x + 54 = 0(x -6)(2x -9)x =+6, +9/2
II. y ² ?14y + 49 = 0(y-7) (y-7)y = +7, +7y > x
Correct Answer: 20 km/h
Explanation:
Let the normal speed be x km/h, then
x (x + 20) - 16 (x + 20) = 0
(x + 20 ) (x - 16) =0
x = 16 km/h
Therefore (x + 4) = 20 km/h
Therefore increased speed = 20 km/h
Correct Answer: 392
Explanation:
Take nearest values
?580×?510+ 49.999 x 3.999=?
24x 8 + 200 = 392
Correct Answer: 3576 sec
Explanation:
Let the length of the train be L metres and speeds of the train Arun and Sriram be R, A and S respectively, then
---------- (i)
and ---------(ii)
From eq.(i) and (ii)
3(R - A ) = 2 (R + K)
R = 3A + 2K
In 30 minutes (i.e 1800 seconds), the train covers 1800R (distance) but the Arun also covers 1800 A (distance) in the same time. Therefore distance between Arun and Sriram, when the train has just crossed Sriram
= 1800 ( R - A) - 24 ( A + K)
Time required =
= (3600 - 24) = 3576 s
Correct Answer: 142
Correct Answer: 75
Explanation:
The hour hand moves from pointing to 12 to pointing to half way between 2 and 3. The angle covered between each hour marking on the clock is 360/12 = 30. Since the hand has covered 2.5 of these divisions the angle moved through is 75.
Correct Answer: 3000
Explanation:
500+2000÷40×50=?
?= 500+(2000÷40)×50
?= 500+50×50
?=500+2500
?=3000
Correct Answer: 87.5 km/hr
Explanation:
Let the speeds of two trains be 7X and 8X km/hr.
8x = 400/4
=> x= 12.5 km/hrX=4004=>X=12.5Km/hr
So speed of first train is 12.5*7 = 87.5 km/hr
Correct Answer: 822
Correct Answer: 8
Explanation:
Amy can travel clockwise or anticlockwise on the diagram.
Clockwise, she has no choice of route from A to B, a choice of one out of two routes from B to C, and a choice of one out of two routes from C back to A. This gives four possible routes.
Similarly, anticlockwise she has four different routes.
Total routes = 8
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