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 :-).

A 12% stock yielding 10% is quoted at:

	A.	Rs. 83.33
	B.	Rs. 110
	C.	Rs. 112
	D.	Rs. 120

Your Answer: Option

Correct Answer: Option D

Explanation:

To earn Rs. 10, money invested = Rs. 100.

To earn Rs. 12, money invested = Rs.		100	x 12		= Rs. 120.
		10

Market value of Rs. 100 stock = Rs. 120.

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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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In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

	A.	1/3
	B.	3/4
	C.	7/19
	D.	8/21
	E.	9/21

Your Answer: Option

Correct Answer: Option A

Explanation:

Total number of balls = (8 + 7 + 6) = 21.

Let E	= event that the ball drawn is neither red nor green
	= event that the ball drawn is blue.

n(E) = 7.

P(E) =	n(E)	=	7	=	1	.
	n(S)		21		3

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If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?

	A.	1
	B.	7/2
	C.	7
	D.	49

Your Answer: Option

Correct Answer: Option C

Explanation:

Let the required number days be x.

Less spiders, More days (Indirect Proportion)

Less webs, Less days (Direct Proportion)

Spiders	1	:	7		:: 7 : x
Webs	7	:	1		:: 7 : x

1 x 7 x x = 7 x 1 x 7

x = 7.

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What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

	A.	814
	B.	820
	C.	840
	D.	844

Your Answer: Option

Correct Answer: Option A

Explanation:

Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.

Area of each tile = (41 x 41) cm².

Required number of tiles =		1517 x 902		= 814.
		41 x 41

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587 x 999 = ?

	A.	586413
	B.	587523
	C.	614823
	D.	615173

Your Answer: Option

Correct Answer: Option A

Explanation:

587 x 999	= 587 x (1000 - 1)
	= 587 x 1000 - 587 x 1
	= 587000 - 587
	= 586413.

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The present worth of Rs. 2310 due 2 1-div-1by2 years hence, the rate of interest being 15% per annum, is:

	A.	Rs. 1750
	B.	Rs. 1680
	C.	Rs. 1840
	D.	Rs. 1443.75

Your Answer: Option

Correct Answer: Option B

Explanation:

P.W. = Rs. 1-sym-obracket-h1 100 x 2310 1-sym-cbracket-h1 = Rs. 1680.

100 +		15 x	5
			2

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A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

	A.	Rs. 1090
	B.	Rs. 1160
	C.	Rs. 1190
	D.	Rs. 1202

Your Answer: Option

Correct Answer: Option C

Explanation:

S.P. = 85% of Rs. 1400 = Rs. 1-sym-oparen-h1 85x 1400 1-sym-cparen-h1 = Rs. 1190100

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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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10.

If 3^(x - y) = 27 and 3^(x + y) = 243, then x is equal to:

	A.	0
	B.	2
	C.	4
	D.	6

Your Answer: Option

Correct Answer: Option C

Explanation:

3^x - y = 27 = 3³ x - y = 3 ....(i)

3^x + y = 243 = 3⁵ x + y = 5 ....(ii)

On solving (i) and (ii), we get x = 4.

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11.

The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

	A.	20
	B.	30
	C.	48
	D.	58

Your Answer: Option

Correct Answer: Option B

Explanation:

Let the three parts be A, B, C. Then,

A : B = 2 : 3 and B : C = 5 : 8 =		5 x	3		:		8 x	3		= 3 :	24
			5					5			5

A : B : C = 2 : 3 :	24	= 10 : 15 : 24
	5

B =		98 x	15		= 30.
			49

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12.

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 slower train in 5 seconds. What is the length of the fast train?

	A.	23 m
	B.	23 2/9 m
	C.	27 7/9 m
	D.	29 m

Your Answer: Option

Correct Answer: Option C

Explanation:

Relative speed = (40 - 20) km/hr =		20 x	5		m/sec =		50		m/sec.
			18				9

Length of faster train =		50	x 5		m =	250	m = 27	7	m.
		9				9		9

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13.

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

	A.	10080
	B.	4989600
	C.	120960
	D.	None of these

Your Answer: Option

Correct Answer: Option C

Explanation:

In the word 'MATHEMATICS', we treat the vowels AEAI as one letter.

Thus, we have MTHMTCS (AEAI).

Now, we have to arrange 8 letters, out of which M occurs twice, T occurs twice and the rest are different.

Number of ways of arranging these letters =	8!	= 10080.
	(2!)(2!)

Now, AEAI has 4 letters in which A occurs 2 times and the rest are different.

Number of ways of arranging these letters =	4!	= 12.
	2!

Required number of words = (10080 x 12) = 120960.

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14.

If 1400 x x = 1050. Then, x = ?

	A.	1/4
	B.	3/5
	C.	2/3
	D.	3/4
	E.	None of these

Your Answer: Option

Correct Answer: Option D

Explanation:

1400 x x = 1050 x =1050=314004

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15.

The sum of first 45 natural numbers is:

	A.	1035
	B.	1280
	C.	2070
	D.	2140

Your Answer: Option

Correct Answer: Option A

Explanation:

Let S_n =(1 + 2 + 3 + ... + 45). This is an A.P. in which a =1, d =1, n = 45.

S_n =	n	[2a + (n - 1)d]	=	45	x [2 x 1 + (45 - 1) x 1]	=		45	x 46		= (45 x 23)
	2			2				2

= 45 x (20 + 3)

= 45 x 20 + 45 x 3

= 900 + 135

= 1035.

Shorcut Method:

S_n =	n(n + 1)	=	45(45 + 1)	= 1035.
	2		2

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16.

A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

	A.	10
	B.	20
	C.	21
	D.	25

Your Answer: Option

Correct Answer: Option C

Explanation:

Suppose the can initially contains 7x and 5x of mixtures A and B respectively.

Quantity of A in mixture left =		7x -	7	x 9		litres =		7x -	21	litres.
			12						4

Quantity of B in mixture left =		5x -	5	x 9		litres =		5x -	15	litres.
			12						4

	7x -	21
		4

	5x -	15	+ 9
		4

	28x - 21	=	7
	20x + 21		9

252x - 189 = 140x + 147

112x = 336

x = 3.

So, the can contained 21 litres of A.

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17.

2056 x 987 = ?

	A.	1936372
	B.	2029272
	C.	1896172
	D.	1926172
	E.	None of these

Your Answer: Option

Correct Answer: Option B

Explanation:

2056 x 987	= 2056 x (1000 - 13)
	= 2056 x 1000 - 2056 x 13
	= 2056000 - 26728
	= 2029272.

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18.

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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19.

The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:

	A.	12%
	B.	13 1/3 %
	C.	15%
	D.	14%

Your Answer: Option

Correct Answer: Option C

Explanation:

P.W. = Rs. (2562 - 122) = Rs. 2440.

S.I. on Rs. 2440 for 4 months is Rs. 122.

Rate =

100 x 122

= 15%.

2440 x	1
	3

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20.

If a and b are odd numbers, then which of the following is even ?

	A.	a + b
	B.	a + b + 1
	C.	ab
	D.	ab + 2
	E.	None of these

Your Answer: Option

Correct Answer: Option A

Explanation:

The sum of two odd number is even. So, a + b is even.

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