Latest Questions, General Mathematics

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Question: A person travels equal distance with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance (in km) is :
A
2

B
3

C
4

D
5

Note: $x/3 + x/4 + x/5$ $= 47/60 => 20x + 15x + 12x$ $= 47 => x = 1$ :. Total distance $= (1 + 1 + 1) km$ $= 3 km$
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Question: A train covers a distance between station A and B in 45 minutes.If the speed of the train is reduced by km/hr,then the same distance is covered in 48 minutes. What is the distance between the station A and B ?
A
60 km

B
64 km

C
80 km

D
55 km

Note: Let the distance between A and B be x km. Speed $= x/((45∕60))$ $= (4x)/3$ km∕hr New speed $= ((4x)/3 - 5)$ $= ((4x - 15)/3)$ km∕hr. $:. 48/60 xx (4x - 15)/3$ $= x => 16x - 60$ $= 15x => x = 60$
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Question: Which of the following trains is the fastest ?
A
25 m∕sec.

B
1500 m∕min

C
90 km∕hr

D
None

Note: 1500 m∕min 90 km∕hr $= (90 xx 5/18)$ m∕sec. = 25 m∕sec. So,all the given speeds are equal.
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Question: A train passes over a bridge of length 200 m in 40 seconds.If the speed of the train is 81 km per hour, its length is :
A
900 m

B
1800 m

C
700 m

D
600 m

Note: Speed of the train $= (81 xx 5/18)$ m∕sec. $= 45/2$ m∕sec Let the length of the train be x metres. $(x + 200)/40$ $= 45/2 => 2x + 400$ $= 1800 => x = 700 m.$
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Question: A 180 m long train crosses a man standing on the platform in 6 seconds. What is the speed of the train ?
A
90 km∕hr

B
108 km∕hr

C
120 km∕hr

D
88 km∕hr

Note: Speed of the train $= (180/6)$ m∕sec. = 30 m∕sec. $= (30 xx 18/5)$ km∕hr = 108 km∕hr.
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Question: Two trains are running at 40 km∕hr and 20 km∕hr respectively in the same direction.Fast train completely passes a man sitting in the slow train in 5 seconds.What is the length of the fast train ?
A
$23 2/9 m$

B
27 m

C
$27 7/9 m$

D
23 m

Note: Relative speed $= (40 - 20)$ = 20 km∕hr $= (20 xx 5/18)$ m∕sec. Length of the train $= (20 xx 5/18 xx 5) m$ $= 27 7/9 m.$
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Question: A train passes a 50 m long platform in 14 seconds in 14 seconds and a man standing on the platform in 10 seconds.The speed of the train in km∕hr is :
A
24

B
36

C
40

D
45

Note: Let the length of train be x metres.Then $x/10 = (50 + x)/14 => 14x$ $= 500 + 10x => x = 125.$ :. Speed $= (125/10)$ m∕sec. $= (125/10 xx 18/5)$ km∕hr $= 45$ km∕hr.
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Question: A train travelling with a constant speed crosses a 96 m long platform in 12 seconds and another 141 m long platform in 15 seconds.The length of the train is :
A
80 m

B
64 m

C
84 m

D
90 m

Note: Let the length of the train be x metres.Then, $(96 + x)/12$ $= (141 + x)/15 => 15 (96 + x)$ $= 12 (141 + x) => x = 84 m.$
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Question: A sum of Rs. 2400 amounts to Rs.3264 in four years at a certain rate of simple interest.If the rate of interest is increased by 1% the same sum n the same time would amounts to :
A
Rs. 3288

B
Rs. 3312

C
Rs. 3340

D
Rs. 3360

Note: Original rate $= ((864 xx 100)/(2400 xx 4))$ $= 9%$ New rate $= 10%$ Now S.I $= (2400 xx 10 xx 4/100) = 960$ :. Amount $= Rs. (2400 + 960)$ $= Rs. 3360.$
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Question: A sum of Rs. 2400 amounts to Rs.3264 in four years at a certain rate of simple interest.If the rate of interest is increased by 1% the same sum n the same time would amounts to :
A
Rs. 3288

B
Rs. 3312

C
Rs. 3340

D
Rs. 3360

Note: Original rate $= ((864 xx 100)/(2400 xx 4))$ $= 9%$ New rate $= 10%$ Now S.I $= (2400 xx 10 xx 4/100) = 960$ :. Amount $= Rs. (2400 + 960)$ $= Rs. 3360.$
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Question: A person travels equal distance with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance (in km) is :

Question: A train covers a distance between station A and B in 45 minutes.If the speed of the train is reduced by km/hr,then the same distance is covered in 48 minutes. What is the distance between the station A and B ?

Question: Which of the following trains is the fastest ?

Question: A train passes over a bridge of length 200 m in 40 seconds.If the speed of the train is 81 km per hour, its length is :

Question: A 180 m long train crosses a man standing on the platform in 6 seconds. What is the speed of the train ?

Question: Two trains are running at 40 km∕hr and 20 km∕hr respectively in the same direction.Fast train completely passes a man sitting in the slow train in 5 seconds.What is the length of the fast train ?

Question: A train passes a 50 m long platform in 14 seconds in 14 seconds and a man standing on the platform in 10 seconds.The speed of the train in km∕hr is :

Question: A train travelling with a constant speed crosses a 96 m long platform in 12 seconds and another 141 m long platform in 15 seconds.The length of the train is :

Question: A sum of Rs. 2400 amounts to Rs.3264 in four years at a certain rate of simple interest.If the rate of interest is increased by 1% the same sum n the same time would amounts to :

Question: A sum of Rs. 2400 amounts to Rs.3264 in four years at a certain rate of simple interest.If the rate of interest is increased by 1% the same sum n the same time would amounts to :