General Mathematics

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: Rs. 2000 amount to Rs. 2600 in 5 years at simple interest.If the interest rate is increased by 3%,it would amount to how much ?
A
Rs.2900

B
Rs. 3200

C
Rs. 3600

D
None of these

Note: Rate` = (600/2000 xx 100/5)` `= 6% New rate = 9%` `S.I = ((2000 xx 9 xx 5)/100)` `= 900` :. Amount = Rs. (200 + 900) = 2900.`
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Question: On a certain sum, the simple interest at the end of `6 1/4` years becomes `3/8` of the sum.What is the rate percent ?
A
7%

B
6%

C
5%

D
`5 1/2 %`

Note: Let the sum be x. Then, S.I` = (3x)/8` :. Rate` = ((100 xx (3x)/(8))/(x xx 25/4))` `= (300 x)/8 xx 4/(25x) = 6%`
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Question: An amount of Rs.100000 is invested in two types of share.The first yields an interest of 9% per annum and the second yields 11% per annum.It the total interest at the end of one year is `9 3/4%`, then the amount invested in each ahare was :
A
Rs.72500, Rs. 27500

B
Rs.62500, Rs. 37500

C
Rs. 52500, Rs.47500

D
Rs. 82500, Rs. 17500

Note: Let the first investment be Rs. x. Then, `(x xx 9 xx 1)/100 + ((100000 - x) xx 11 xx 1)/100` `= 100000 xx 39/4 xx 1/100` `=> (9x)/100 + (1100000 - 11x)/100` `= (975000)/100` `=> 1100000 - 2x` `= 975000 => x = 62500` :. The two amounts are Rs. 62500 and Rs. 37500
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Question: A room is 6 m long,5 m broad and 4 m high.It has one door 2.5 high and 1.2 m broad and has one window I m broad and I m high. Find the area in sq. metres of the paper required to cover the four walls of the room.
A
84

B
100

C
120

D
None

Note: Area to be papered `= 2 (6 + 5) xx 4 - [(2.5 xx 1.2) + (1 xx 1)] sq.m.` `= (88 - 4) = 84 m^2`
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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 ?

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 :

Question: Rs. 2000 amount to Rs. 2600 in 5 years at simple interest.If the interest rate is increased by 3%,it would amount to how much ?

Question: On a certain sum, the simple interest at the end of `6 1/4` years becomes `3/8` of the sum.What is the rate percent ?

Question: An amount of Rs.100000 is invested in two types of share.The first yields an interest of 9% per annum and the second yields 11% per annum.It the total interest at the end of one year is `9 3/4%`, then the amount invested in each ahare was :

Question: A room is 6 m long,5 m broad and 4 m high.It has one door 2.5 high and 1.2 m broad and has one window I m broad and I m high. Find the area in sq. metres of the paper required to cover the four walls of the room.