Online Aptitude Test

Online Aptitude Test - Aptitude

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Total number of questions : 20.
Time alloted : 30 minutes.
Each question carry 1 mark, no negative marks.
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Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?

	A.	256
	B.	432
	C.	512
	D.	640
	E.	None of these

Your Answer: Option

Correct Answer: Option C

Explanation:

Let total number of children be x.

Then, x x	1	x =	x	x 16 x = 64.
	8		2

Number of notebooks =	1	x² =		1	x 64 x 64		= 512.
	8			8

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The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

	A.	240
	B.	270
	C.	295
	D.	360

Your Answer: Option

Correct Answer: Option B

Explanation:

Let the smaller number be x. Then larger number = (x + 1365).

x + 1365 = 6x + 15

5x = 1350

x = 270

Smaller number = 270.

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Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:

	A.	10
	B.	12
	C.	14
	D.	16

Your Answer: Option

Correct Answer: Option C

Explanation:

Part filled in 2 hours =	2	=	1
	6		3

Remaining part =		1 -	1		=	2	.
			3			3

(A + B)'s 7 hour's work =	2
	3

(A + B)'s 1 hour's work =	2
	21

C's 1 hour's work = { (A + B + C)'s 1 hour's work } - { (A + B)'s 1 hour's work }

=		1	-	2		=	1
		6		21			14

C alone can fill the tank in 14 hours.

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3897 x 999 = ?

	A.	3883203
	B.	3893103
	C.	3639403
	D.	3791203
	E.	None of these

Your Answer: Option

Correct Answer: Option B

Explanation:

3897 x 999	= 3897 x (1000 - 1)
	= 3897 x 1000 - 3897 x 1
	= 3897000 - 3897
	= 3893103.

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In what ratio must water be mixed with milk to gain 16 1-div-2by3 % on selling the mixture at cost price?

	A.	1 : 6
	B.	6 : 1
	C.	2 : 3
	D.	4 : 3

Your Answer: Option

Correct Answer: Option A

Explanation:

Let C.P. of 1 litre milk be Re. 1.

S.P. of 1 litre of mixture = Re.1, Gain =	50	%.
	3

C.P. of 1 litre of mixture =		100 x	3	x 1		=	6
			350				7

By the rule of alligation, we have:

C.P. of 1 litre of waterC.P. of 1 litre of milk

Mean Price

Re.	6
	7

Re. 1

Ratio of water and milk =	1	:	6	= 1 : 6.
	7		7

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Which is better investment: 11% stock at 143 or 9 1-div-1by4 % stock at 117?

	A.	11% stock at 143
	B.	9 % stock at 117
	C.	Both are equally good
	D.	Cannot be compared, as the total amount of investment is not given.

Your Answer: Option

Correct Answer: Option B

Explanation:

Let investment in each case be Rs. (143 x 117).

Income in 1^st case = Rs.		11	x 143 x 117		= Rs. 1287.
		143

Income in 2^nd case = Rs.		39	x 143 x 117		= Rs. 1394.25
		4 x 117

Clearly, 9	3	% stock at 117 is better.
	4

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A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

	A.	69.5 km/hr
	B.	70 km/hr
	C.	79 km/hr
	D.	79.2 km/hr

Your Answer: Option

Correct Answer: Option D

Explanation:

Let the length of the train be x metres and its speed by y m/sec.

Then,	x	= 8 x = 8y
	y

Now,	x + 264	= y
	20

8y + 264 = 20y

y = 22.

Speed = 22 m/sec =		22 x	18		km/hr = 79.2 km/hr.
			5

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What is the unit digit in (4137)⁷⁵⁴?

	A.	1
	B.	3
	C.	7
	D.	9

Your Answer: Option

Correct Answer: Option D

Explanation:

Unit digit in (4137)⁷⁵⁴ = Unit digit in {[(4137)⁴]¹⁸⁸ x (4137)²}

=Unit digit in { 292915317923361 x 17114769 }

= (1 x 9) = 9

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A and B can do a job together in 7 days. A is 1 1-div-3by4 times as efficient as B. The same job can be done by A alone in :

	A.	9 1/3 days
	B.	11 days
	C.	12 1/4 days
	D.	16 1/3 days

Your Answer: Option

Correct Answer: Option B

Explanation:

(A's 1 day's work) : (B's 1 day's work) =	7	: 1 = 7 : 4.
	4

Let A's and B's 1 day's work be 7x and 4x respectively.

Then, 7x + 4x =	1	11x =	1	x =	1	.
	7		7		77

A's 1 day's work =		1	x 7		=	1	.
		77				11

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10.

Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:

	A.	30%
	B.	33 1/3 %
	C.	35%
	D.	44%

Your Answer: Option

Correct Answer: Option D

Explanation:

Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.

C.P. of 30 articles = Rs.		5	x 30		= Rs. 25.
		6

S.P. of 30 articles = Rs.		6	x 30		= Rs. 36.
		5

Gain % =		11	x 100	% = 44%.
		25

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11.

There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?

	A.	Rs. 2160
	B.	Rs. 3120
	C.	Rs. 3972
	D.	Rs. 6240
	E.	None of these

Your Answer: Option

Correct Answer: Option C

Explanation:

Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.

R =		100 x 60		= 10% p.a.
		100 x 6

Now, P = Rs. 12000. T = 3 years and R = 10% p.a.

C.I.

= Rs.		12000 x			1 +	10		3	- 1
						100

= Rs.		12000 x	331
			1000

= 3972.

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12.

On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

	A.	Rs. 45
	B.	Rs. 50
	C.	Rs. 55
	D.	Rs. 60

Your Answer: Option

Correct Answer: Option D

Explanation:

(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)

C.P. of 12 balls = S.P. of 17 balls = Rs.720.

C.P. of 1 ball = Rs.		720		= Rs. 60.
		12

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13.

Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

	A.	3.5
	B.	4.5
	C.	5.6
	D.	6.5

Your Answer: Option

Correct Answer: Option C

Explanation:

Cost Price of 1 toy = Rs.		375		= Rs. 31.25
		12

Selling Price of 1 toy = Rs. 33

So, Gain = Rs. (33 - 31.25) = Rs. 1.75

Profit % =		1.75	x 100	%	=	28	% = 5.6%
		31.25				5

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14.

In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:

	A.	Rs. 3100
	B.	Rs. 6240
	C.	Rs. 6500
	D.	Rs. 9600

Your Answer: Option

Correct Answer: Option B

Explanation:

To obtain Rs. 10, investment = Rs. 96.

To obtain Rs. 650, investment = Rs.		96	x 650		= Rs. 6240.
		10

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15.

Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

	A.	7 hours 30 minutes
	B.	8 hours
	C.	8 hours 15 minutes
	D.	8 hours 25 minutes

Your Answer: Option

Correct Answer: Option C

Explanation:

Number of pages typed by Ravi in 1 hour =	32	=	16	.
	6		3

Number of pages typed by Kumar in 1 hour =	40	= 8.
	5

Number of pages typed by both in 1 hour =		16	+ 8		=	40	.
		3				3

Time taken by both to type 110 pages =		110 x	3		hours
			40

= 8	1	hours (or) 8 hours 15 minutes.
	4

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16.

If one-third of one-fourth of a number is 15, then three-tenth of that number is:

	A.	35
	B.	36
	C.	45
	D.	54

Your Answer: Option

Correct Answer: Option D

Explanation:

Let the number be x.

Then,	1	of	1	of x = 15 x = 15 x 3 x 4 = 180.
	3		4

So, required number =		3	x 180		= 54.
		10

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17.

854 x 854 x 854 - 276 x 276 x 276	= ?
854 x 854 + 854 x 276 + 276 x 276

	A.	1130
	B.	578
	C.	565
	D.	1156
	E.	None of these

Your Answer: Option

Correct Answer: Option B

Explanation:

Given Exp. =(a³ - b³)= (a - b) = (854 - 276) = 578(a² + ab + b²)

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18.

9548 + 7314 = 8362 + (?)

	A.	8230
	B.	8410
	C.	8500
	D.	8600
	E.	None of these

Your Answer: Option

Correct Answer: Option C

Explanation:

9548          16862 = 8362 + x 
+ 7314          x  = 16862 - 8362 
 -----             = 8500 
 16862
 -----

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19.

Which of the following is a prime number ?

	A.	33
	B.	81
	C.	93
	D.	97

Your Answer: Option

Correct Answer: Option D

Explanation:

Clearly, 97 is a prime number.

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20.

The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 1-div-1by4 %, is:

	A.	Rs. 108.25
	B.	Rs. 112.20
	C.	Rs. 124.75
	D.	Rs. 125.25

Your Answer: Option

Correct Answer: Option C

Explanation:

For an income of Rs. 756, investment = Rs. 9000.

For an income of Rs.	21	, investment = Rs.		9000	x	21		= Rs. 125.
	2			756		2

For a Rs. 100 stock, investment = Rs. 125.

Market value of Rs. 100 stock = Rs.		125 -	1		= Rs. 124.75
			4

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