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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.
  • DO NOT refresh the page.
  • All the best :-).


1.

A car travelling with of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

A.
17 6 km/hr
7
B.
25 km/hr
C.
30 km/hr
D.
35 km/hr

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Time taken = 1 hr 40 min 48 sec = 1 hr 40 4 min = 1 51 hrs = 126 hrs.
5 75 75

Let the actual speed be x km/hr.

Then, 5 x x 126 = 42
7 75

x = 42 x 7 x 75 = 35 km/hr.
5 x 126

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[#]
2.

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
A.
18 litres
B.
24 litres
C.
32 litres
D.
42 litres

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let the quantity of the wine in the cask originally be x litres.

Then, quantity of wine left in cask after 4 operations = x 1 - 8 4  litres.
x

x(1 - (8/x))4 = 16
x 81

1 - 8 4 = 2 4
x 3

x - 8 = 2
x 3

3x - 24 = 2x

x = 24.

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[#]
3.

Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

A.
27
B.
33
C.
49
D.
55

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let the numbers be 3x and 5x.

Then, 3x - 9 = 12
5x - 9 23

23(3x - 9) = 12(5x - 9)

9x = 99

x = 11.

The smaller number = (3 x 11) = 33.

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[#]
Direction (for Q.Nos. 4 - 5):
Find out the wrong number in the series.
4.

40960, 10240, 2560, 640, 200, 40, 10

A.
640
B.
40
C.
200
D.
2560
E.
10240

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Go on dividing by 4 to get the next number.

So, 200 is wrong.

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[#]
5.

64, 71, 80, 91, 104, 119, 135, 155
A.
71
B.
80
C.
104
D.
119
E.
135

Your Answer: Option (Not Answered)

Correct Answer: Option E

Explanation:

Go on adding 7, 9, 11, 13, 15, 17, 19 respectively to obtain the next number.

So, 135 is wrong.

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[#]
Direction (for Q.No. 6):

Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.

6.

What is the cost painting the two adjacent walls of a hall at Rs. 5 per m2 which has no windows or doors?

I. 

The area of the hall is 24 sq. m.

II. 

The breadth, length and height of the hall are in the ratio of 4 : 6 : 5 respectively.

 III. 

Area of one wall is 30 sq. m.

A.
I only
B.
II only
C.
III only
D.
Either I or III
E.
All I, II and III are required.

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

From II, let l = 4x, b = 6x and h = 5x.

Then, area of the hall = (24x2) m2.

From I. Area of the hall = 24 m2.

From II and I, we get 24x2 = 24         x = 1.

l = 4 m, b = 6 and h = 5 m.

Thus, area of two adjacent walls = [(l x h) + (b x h)] m2 can be found out and so the cost of painting two adjacent walls may be found out.

Thus, III is redundant.

Correct answer is (C).

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[#]
7.

(17)3.5 x (17)? = 178

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

Your Answer: Option (Not Answered)

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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[#]
8.

A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

A.
Rs. 120
B.
Rs. 121
C.
Rs. 122
D.
Rs. 123

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Amount
= Rs. 1600 x 1 + 5 2 + 1600 x 1 + 5
2 x 100 2 x 100
= Rs. 1600 x 41 x 41 + 1600 x 41
40 40 40
= Rs. 1600 x 41 41 + 1
40 40
= Rs. 1600 x 41 x 81
40 x 40
= Rs. 3321.

C.I. = Rs. (3321 - 3200) = Rs. 121

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[#]
9.

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:

A.
Rs. 400
B.
Rs. 500
C.
Rs. 600
D.
Rs. 800

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let the sum be Rs. P.

Then, P 1 + 10 2 - P = 525
100

P 11 2 - 1 = 525
10

P = 525 x 100 = 2500.
21

Sum = Rs . 2500.

So, S.I. = Rs. 2500 x 5 x 4 = Rs. 500
100

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[#]
Direction (for Q.Nos. 10 - 11):
Insert the missing number.
10.

4, -8, 16, -32, 64, (....)

A.
128
B.
-128
C.
192
D.
-192

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Each number is the proceeding number multiplied by -2.

So, the required number is -128.

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[#]
11.

8, 7, 11, 12, 14, 17, 17, 22, (....)

A.
27
B.
20
C.
22
D.
24

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

There are two series (8, 11, 14, 17, 20) and (7, 12, 17, 22) increasing by 3 and 5 respectively.

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[#]
12.

The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

A.
15 cm
B.
25 cm
C.
35 cm
D.
42 cm

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm.

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[#]
13.

The G.C.D. of 1.08, 0.36 and 0.9 is:

A.
0.03
B.
0.9
C.
0.18
D.
0.108

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Given numbers are 1.08, 0.36 and 0.90.   H.C.F. of 108, 36 and 90 is 18,

H.C.F. of given numbers = 0.18.

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[#]
14.

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
A.
3
B.
4
C.
5
D.
6

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

C.P. of 6 toffees = Re. 1

S.P. of 6 toffees = 120% of Re. 1 = Rs. 6
5

For Rs. 6 , toffees sold = 6.
5

For Re. 1, toffees sold = 6 x 5 = 5.
6

Video Explanation: https://youtu.be/7wKrnZ0LKA8

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[#]
15.

The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:

A.
Rs. 960
B.
Rs. 840
C.
Rs. 1020
D.
Rs. 760

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

T.D. = B.G. x 100 = Rs. 270 x 100 = Rs. 750.
R x T 12 x 3

B.D. = Rs.(750 + 270) = Rs. 1020.

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[#]
16.

If log10 2 = 0.3010, the value of log10 80 is:
A.
1.6020
B.
1.9030
C.
3.9030
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

log10 80 = log10 (8 x 10)
= log10 8 + log10 10
= log10 (23 ) + 1
= 3 log10 2 + 1
= (3 x 0.3010) + 1
= 1.9030.

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[#]
17.

A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

A.
18
B.
24
C.
42
D.
81

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let the ten's and unit digit be x and 8 respectively.
x

Then, 10x + 8 + 18 = 10 x 8 + x
x x

10x2 + 8 + 18x = 80 + x2

9x2 + 18x - 72 = 0

x2 + 2x - 8 = 0

(x + 4)(x - 2) = 0

x = 2.

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[#]
18.

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

A.
20
B.
24
C.
30
D.
33

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let the side of the square(ABCD) be x metres.

Then, AB + BC = 2x metres.

AC = 2x = (1.41x) m.

Saving on 2x metres = (0.59x) m.

Saving % = 0.59x x 100 % = 30% (approx.)
2x

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[#]
19.

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
A.
75 cu. m
B.
750 cu. m
C.
7500 cu. m
D.
75000 cu. m

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

1 hectare = 10,000 m2

So, Area = (1.5 x 10000) m2 = 15000 m2.

Depth = 5 m = 1 m.
100 20

Volume = (Area x Depth) = 15000 x 1 m3 = 750 m3.
20

Video Explanation: https://youtu.be/dDbVuBzYop8

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[#]
20.

A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:
A.
12 cm3
B.
15 cm3
C.
16 cm3
D.
20 cm3

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Clearly, we have r = 3 cm and h = 4 cm.

Volume = 1 r2h = 1 x x 32 x 4 cm3 = 12 cm3.
3 3

Video Explanation: https://youtu.be/Njsid2mVwUY

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[#]
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