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 :-).

The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is:

	A.	12%
	B.	14%
	C.	15%
	D.	16 2/3 %

Your Answer: Option

Correct Answer: Option B

Explanation:

S.I. on Rs. 750 = T.D. on Rs. 960.

This means P.W. of Rs. 960 due 2 years hence is Rs. 750.

T.D. = Rs. (960 - 750) = Rs. 210.

Thus, S.I. on R.s 750 for 2 years is Rs. 210.

Rate =		100 x 210	%	= 14%
		750 x 2

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A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:

	A.	35.55 km/hr
	B.	36 km/hr
	C.	71.11 km/hr
	D.	71 km/hr

Your Answer: Option

Correct Answer: Option C

Explanation:

Total time taken =		160	+	160	hrs.	=	9	hrs.
		64		80			2

Average speed =		320 x	2	km/hr	= 71.11 km/hr.
			9

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A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:

	A.	1 km/hr
	B.	1.5 km/hr
	C.	2 km/hr
	D.	2.5 km/hr

Your Answer: Option

Correct Answer: Option A

Explanation:

Suppose he move 4 km downstream in x hours. Then,

Speed downstream =		4		km/hr.
		x

Speed upstream =		3		km/hr.
		x

	48	+	48	= 14 or x =	1	.
	(4/x)		(3/x)		2

So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.

Rate of the stream =	1	(8 - 6) km/hr = 1 km/hr.
	2

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Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

	A.	8 kmph
	B.	11 kmph
	C.	12 kmph
	D.	14 kmph

Your Answer: Option

Correct Answer: Option C

Explanation:

Let the distance travelled by x km.

Then,	x	-	x	= 2
	10		15

3x - 2x = 60

x = 60 km.

Time taken to travel 60 km at 10 km/hr =		60	hrs	= 6 hrs.
		10

So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.

Required speed =		60	kmph.	= 12 kmph.
		5

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Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

	A.	4
	B.	10
	C.	15
	D.	16

Your Answer: Option

Correct Answer: Option D

Explanation:

L.C.M. of 2, 4, 6, 8, 10, 12 is 120.

So, the bells will toll together after every 120 seconds(2 minutes).

In 30 minutes, they will toll together	30	+ 1 = 16 times.
	2

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How many prime numbers are less than 50 ?

	A.	16
	B.	15
	C.	14
	D.	18

Your Answer: Option

Correct Answer: Option B

Explanation:

Prime numbers less than 50 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

Their number is 15

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If log_x		9		= -	1	, then x is equal to:
		16			2

	A.	- 3/4
	B.	3/4
	C.	81/256
	D.	256/81

Your Answer: Option

Correct Answer: Option D

Explanation:

log_x		9		= -	1
		16			2

x^-1/2	=	9
		16

	1	=	9
	x		16

x =	16
	9

x =		16		2
		9

x =	256
	81

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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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617 + 6.017 + 0.617 + 6.0017 = ?

	A.	6.2963
	B.	62.965
	C.	629.6357
	D.	None of these

Your Answer: Option

Correct Answer: Option C

Explanation:

  617.00
    6.017
    0.617
 +  6.0017
  --------
  629.6357
  ---------

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10.

If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?

	A.	Rs. xy/d
	B.	Rs. (xd)
	C.	Rs. (yd)
	D.	Rs.yd/x

Your Answer: Option

Correct Answer: Option D

Explanation:

Cost of x metres = Rs. d.

Cost of 1 metre = Rs.		d
		x

Cost of y metres = Rs.		d	. y		= Rs.		yd	.
		x					x

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11.

The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

	A.	20
	B.	23
	C.	169
	D.	None of these

Your Answer: Option

Correct Answer: Option B

Explanation:

Let the numbers be x and y.

Then, xy = 120 and x² + y² = 289.

(x + y)² = x² + y² + 2xy = 289 + (2 x 120) = 529

x + y = √529 = 23.

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12.

The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:

	A.	40%
	B.	42%
	C.	44%
	D.	46%

Your Answer: Option

Correct Answer: Option C

Explanation:

Let original length = x metres and original breadth = y metres.

Original area = (xy) m².

New length =		120	x	m	=		6	x	m.
		100					5

New breadth =		120	y	m	=		6	y	m.
		100					5

New Area =		6	x x	6	y	m²	=		36	xy	m².
		5		5					25

The difference between the original area = xy and new-area 36/25 xy is

= (36/25)xy - xy

= xy(36/25 - 1)

= xy(11/25) or (11/25)xy

Increase % =		11	xy x	1	x 100	%	= 44%.
		25		xy

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13.

It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?

	A.	(216 + 1)
	B.	(216 - 1)
	C.	(7 x 223)
	D.	(296 + 1)

Your Answer: Option

Correct Answer: Option D

Explanation:

Let 2³² = x. Then, (2³² + 1) = (x + 1).

Let (x + 1) be completely divisible by the natural number N. Then,

(2⁹⁶ + 1) = [(2³²)³ + 1] = (x³ + 1) = (x + 1)(x² - x + 1), which is completely divisible by N, since (x + 1) is divisible by N.

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14.

0.04 x 0.0162 is equal to:

	A.	6.48 x 10-3
	B.	6.48 x 10-4
	C.	6.48 x 10-5
	D.	6.48 x 10-6

Your Answer: Option

Correct Answer: Option B

Explanation:

4 x 162 = 648. Sum of decimal places = 6.
So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10^-4

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15.

{(476 + 424)2 - 4 x 476 x 424} = ?

	A.	2906
	B.	3116
	C.	2704
	D.	2904
	E.	None of these

Your Answer: Option

Correct Answer: Option C

Explanation:

Given Exp.	= [(a + b)² - 4ab], where a = 476 and b = 424
	= [(476 + 424)² - 4 x 476 x 424]
	= [(900)² - 807296]
	= 810000 - 807296
	= 2704.

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16.

107 x 107 + 93 x 93 = ?

	A.	19578
	B.	19418
	C.	20098
	D.	21908
	E.	None of these

Your Answer: Option

Correct Answer: Option C

Explanation:

107 x 107 + 93 x 93	= (107)² + (93)²
	= (100 + 7)² + (100 - 7)²
	= 2 x [(100)² + 7²] [Ref: (a + b)² + (a - b)² = 2(a² + b²)]
	= 20098

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17.

666 � 6 � 3 = ?

	A.	37
	B.	333
	C.	111
	D.	84
	E.	None of these

Your Answer: Option

Correct Answer: Option A

Explanation:

Given Exp. = 666 x1/6x1/3= 37

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18.

How many terms are there in the G.P. 3, 6, 12, 24, ... , 384 ?

	A.	8
	B.	9
	C.	10
	D.	11
	E.	7

Your Answer: Option

Correct Answer: Option A

Explanation:

Here a = 3 and r =	6	= 2. Let the number of terms be n.
	3

Then, t_n = 384 ar^n-1 = 384

3 x 2^{n - 1} = 384

2^n-1 = 128 = 2⁷

n - 1 = 7

n = 8

Number of terms = 8.

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19.

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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20.

3 + 33 + 333 + 3.33 = ?

	A.	362.3
	B.	372.33
	C.	702.33
	D.	702
	E.	None of these

Your Answer: Option

Correct Answer: Option B

Explanation:

3
+  33
+ 333
+   3.33
  ------
  372.33
  ------

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