Online Aptitude Test

Online Aptitude Test - Aptitude

Instruction:

This is a FREE online test. DO NOT pay money to anyone to attend this test.
Total number of questions : 20.
Time alloted : 30 minutes.
Each question carry 1 mark, no negative marks.
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All the best :-).

835, 734, 642, 751, 853, 981, 532

	A.	751
	B.	853
	C.	981
	D.	532

Your Answer: Option

Correct Answer: Option A

Explanation:

In each number except 751, the difference of third and first digit is the middle one.

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How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?

	A.	8
	B.	11
	C.	12
	D.	13
	E.	None of these

Your Answer: Option

Correct Answer: Option D

Explanation:

Required numbers are 24, 30, 36, 42, ..., 96

This is an A.P. in which a = 24, d = 6 and l = 96

Let the number of terms in it be n.

Then t_n = 96 a + (n - 1)d = 96

24 + (n - 1) x 6 = 96

(n - 1) x 6 = 72

(n - 1) = 12

n = 13

Required number of numbers = 13.

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A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?

	A.	3.6 sec
	B.	18 sec
	C.	36 sec
	D.	72 sec

Your Answer: Option

Correct Answer: Option C

Explanation:

Speed of train relative to jogger = (45 - 9) km/hr = 36 km/hr.

=		36 x	5	m/sec
			18

= 10 m/sec.

Distance to be covered = (240 + 120) m = 360 m.

Time taken =		360	sec	= 36 sec.
		10

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It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

	A.	2 : 3
	B.	3 : 2
	C.	3 : 4
	D.	4 : 3

Your Answer: Option

Correct Answer: Option C

Explanation:

Let the speed of the train be x km/hr and that of the car be y km/hr.

Then,	120	+	480	= 8	1	+	4	=	1	....(i)
	x		y		x		y		15

And,	200	+	400	=	25		1	+	2	=	1	....(ii)
	x		y		3		x		y		24

Solving (i) and (ii), we get: x = 60 and y = 80.

Ratio of speeds = 60 : 80 = 3 : 4.

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The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

	A.	15
	B.	16
	C.	18
	D.	25

Your Answer: Option

Correct Answer: Option B

Explanation:

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.

Profit = Rs. (20 - x).

		20 - x	x 100 = 25
		x

2000 - 100x = 25x

125x = 2000

x = 16.

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A 6% stock yields 8%. The market value of the stock is:

	A.	Rs. 48
	B.	Rs. 75
	C.	Rs. 96
	D.	Rs. 133.33

Your Answer: Option

Correct Answer: Option B

Explanation:

For an income of Rs. 8, investment = Rs. 100.

For an income of Rs. 6, investment = Rs.		100	x 6		= Rs. 75.
		8

Market value of Rs. 100 stock = Rs. 75.

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How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

	A.	5
	B.	10
	C.	15
	D.	20

Your Answer: Option

Correct Answer: Option D

Explanation:

Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.

The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place.

The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.

Required number of numbers = (1 x 5 x 4) = 20.

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A runs 1 1-div-2by3 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

	A.	200 m
	B.	300 m
	C.	270 m
	D.	160 m

Your Answer: Option

Correct Answer: Option A

Explanation:

Ratio of the speeds of A and B =	5	: 1 = 5 : 3.
	3

Thus, in race of 5 m, A gains 2 m over B.

2 m are gained by A in a race of 5 m.

80 m will be gained by A in race of		5	x 80	m	= 200 m.
		2

Winning post is 200 m away from the starting point.

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If 20% of a = b, then b% of 20 is the same as:

	A.	4% of a
	B.	5% of a
	C.	20% of a
	D.	None of these

Your Answer: Option

Correct Answer: Option A

Explanation:

20% of a = b	20	a = b.
	100

b% of 20 =		b	x 20		=		20	a x	1	x 20		=	4	a = 4% of a.
		100					100		100				100

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10.

How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

	A.	5600
	B.	6000
	C.	6400
	D.	7200

Your Answer: Option

Correct Answer: Option C

Explanation:

Number of bricks =Volume of the wall= 1-sym-oparen-h1 800 x 600 x 22.5 1-sym-cparen-h1 = 6400.Volume of 1 brick25 x 11.25 x 6

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11.

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

	A.	1/4
	B.	1/10
	C.	7/15
	D.	8/15

Your Answer: Option

Correct Answer: Option D

Explanation:

A's 1 day's work =	1	;
	15

B's 1 day's work =	1	;
	20

(A + B)'s 1 day's work =		1	+	1		=	7	.
		15		20			60

(A + B)'s 4 day's work =		7	x 4		=	7	.
		60				15

Therefore, Remaining work =		1 -	7		=	8	.
			15			15

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12.

(17)^3.5 x (17)^? = 17⁸

	A.	2.29
	B.	2.75
	C.	4.25
	D.	4.5

Your Answer: Option

Correct Answer: Option D

Explanation:

Let (17)^3.5 x (17)^x = 17⁸.

Then, (17)^{3.5 + x} = 17⁸.

3.5 + x = 8

x = (8 - 3.5)

x = 4.5

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13.

In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:

	A.	20 m
	B.	25 m
	C.	22.5 m
	D.	9 m

Your Answer: Option

Correct Answer: Option A

Explanation:

Distance covered by B in 9 sec. =		100	x 9	m	= 20 m.
		45

A beats B by 20 metres.

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14.

The fourth proportional to 5, 8, 15 is:

	A.	18
	B.	24
	C.	19
	D.	20

Your Answer: Option

Correct Answer: Option B

Explanation:

Let the fourth proportional to 5, 8, 15 be x.

Then, 5 : 8 : 15 : x

5x = (8 x 15)

x =	(8 x 15)	= 24.
	5

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15.

A train travelling at a speed of 75 mph enters a tunnel 31/2 miles long. The train is 1/4 mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

	A.	2.5 min
	B.	3 min
	C.	3.2 min
	D.	3.5 min

Your Answer: Option

Correct Answer: Option B

Explanation:

Total distance covered

=		7	+	1		miles
		2		4

=	15	miles.
	4

Time taken

=		15		hrs
		4 x 75

=	1	hrs
	20

=		1	x 60		min.
		20

= 3 min.

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16.

The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:

	A.	Rs. 60
	B.	Rs. 108
	C.	Rs. 110
	D.	Rs. 112

Your Answer: Option

Correct Answer: Option B

Explanation:

P.W. = Rs. (540 - 90) = Rs. 450.

S.I. on Rs. 450 = Rs. 90.

S.I. on Rs. 540 = Rs.		90	x 540		= Rs. 108.
		450

B.D. = Rs. 108.

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17.

Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

	A.	2 years
	B.	4 years
	C.	6 years
	D.	8 years

Your Answer: Option

Correct Answer: Option C

Explanation:

Mother's age when Ayesha's brother was born = 36 years.

Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.

Required difference = (42 - 36) years = 6 years.

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18.

A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is:

	A.	214
	B.	476
	C.	954
	D.	1908

Your Answer: Option

Correct Answer: Option A

Explanation:

4 | x            z = 6 x 1 + 4  = 10
 -----------
 5 | y -2         y = 5 x z + 3  = 5 x 10 + 3  = 53
 -----------
 6 | z - 3        x = 4 x y + 2  = 4 x 53 + 2  = 214
 -----------
   | 1 - 4
   
Hence, required number = 214.

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19.

3, 5, 11, 14, 17, 21

	A.	21
	B.	17
	C.	14
	D.	3

Your Answer: Option

Correct Answer: Option C

Explanation:

Each of the numbers except 14 is an odd number.

The number '14' is the only EVEN number.

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20.

7589 - ? = 3434

	A.	4242
	B.	4155
	C.	1123
	D.	11023
	E.	None of these

Your Answer: Option

Correct Answer: Option B

Explanation:

Let 7589 -x = 3434

Then, x = 7589 - 3434 = 4155

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