Online Aptitude Test - Aptitude Test - Random



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Instruction:

  • 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.

5 x 1.6 - 2 x 1.4 = ?
1.3

A.
0.4
B.
1.2
C.
1.4
D.
4

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Given Expression = 8 - 2.8 = 5.2 = 52 = 4.
1.3 1.3 13

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2.

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 (Not Answered)

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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Direction (for Q.No. 3):

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

3.

What is the area of rectangular field?

I. 

The perimeter of the field is 110 metres.

II. 

The length is 5 metres more than the width.

 III. 

The ratio between length and width is 6 : 5 respectively.

A.
I and II only
B.
Any two of the three
C.
All I, II and III
D.
I, and either II or III only
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

  I. 2(l + b) = 110         l + b = 55.

 II. l = (b + 5)         l - b = 5.

III. l = 6         5l - 6b = 0.
b 5

These are three equations in l and b. We may solve them pairwise.

Any two of the three will give the answer.

Correct answer is (B).

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4.

A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:

A.
5 15 % loss
17
B.
5 15 % gain
17
C.
6 2 % gain
3
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

C.P. of 1st transistor = Rs. 100 x 840 = Rs. 700.
120

C.P. of 2nd transistor = Rs. 100 x 960 = Rs. 1000
96

So, total C.P. = Rs. (700 + 1000) = Rs. 1700.

Total S.P. = Rs. (840 + 960) = Rs. 1800.

Gain % = 100 x 100 % = 5 15 %
1700 17

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5.

1.5625 = ?

A.
1.05
B.
1.25
C.
1.45
D.
1.55

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

   1|1.5625( 1.25
    |1
    |-------
  22| 56
    | 44
    |-------
 245| 1225
    | 1225
    |-------
    |    X
    |-------     

1.5625 = 1.25.

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6.

Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

A.
Rs. 15
B.
Rs. 15.70
C.
Rs. 19.70
D.
Rs. 20

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let the amount taxable purchases be Rs. x.

Then, 6% of x = 30
100

x = 30 x 100 = 5.
100 6

Cost of tax free items = Rs. [25 - (5 + 0.30)] = Rs. 19.70

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7.

A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

A.
3.6
B.
7.2
C.
8.4
D.
10

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Speed = 600 m/sec.
5 x 60

   = 2 m/sec.

Converting m/sec to km/hr (see important formulas section)

   = 2 x 18 km/hr
5

   = 7.2 km/hr.

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8.

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

A.
220 km
B.
224 km
C.
230 km
D.
234 km

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

(1/2)x + (1/2)x = 10
21 24

x + x = 20
21 24

15x = 168 x 20

x = 168 x 20 = 224 km.
15

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9.

If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?

A.
48 paise
B.
54 paise
C.
56 paise
D.
72 paise

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let the required weight be x kg.

Less weight, Less cost (Direct Proportion)

250 : 200 :: 60 : x       250 x x = (200 x 60)

x= (200 x 60)
250

x = 48.

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10.

If a - b = 3 and a2 + b2 = 29, find the value of ab.

A.
10
B.
12
C.
15
D.
18

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

2ab = (a2 + b2) - (a - b)2

   = 29 - 9 = 20

   ab = 10.

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11.

To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?

A.
10
B.
35
C.
62.5
D.
Cannot be determined
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let the capacity of 1 bucket = x.

Then, the capacity of tank = 25x.

New capacity of bucket = 2 x
5

Required number of buckets = 25x
(2x/5)

= 25x x 5
2x

= 125
2

= 62.5

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Direction (for Q.No. 12):

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
12.

Divya is twice as old as Shruti. What is the difference in their ages?

I. 

Five years hence, the ratio of their ages would be 9 : 5.

 II. 

Ten years back, the ratio of their ages was 3 : 1.

A.
I alone sufficient while II alone not sufficient to answer
B.
II alone sufficient while I alone not sufficient to answer
C.
Either I or II alone sufficient to answer
D.
Both I and II are not sufficient to answer
E.
Both I and II are necessary to answer

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let Divya's present age be D years and Shruti's present age b S years

Then, D = 2 x S       D - 2S = 0 ....(i)

 I. D + 5 = 9 ....(ii)
S + 5 5

II. D - 10 = 3 ....(iii)
S - 10 1

From (ii), we get : 5D + 25 = 9S + 45       5D - 9S = 20 ....(iv)

From (iii), we get : D - 10 = 3S - 30       D - 3S = -20 ....(v)

Thus, from (i) and (ii), we get the answer.

Also, from (i) and (iii), we get the answer.

I alone as well as II alone give the answer. Hence, the correct answer is (C).

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13.

At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?

A.
5 1 "
11
B.
12 4 "
11
C.
13 4 "
11
D.
16 4 "
11

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.

To be coincident, it must gain 15 min. spaces.

55 min. are gained in 60 min.

15 min. are gained in 60 x 15 min = 16 4 min.
55 11

The hands are coincident at 16 4 min. past 3.
11

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14.

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

A.
59 7 min. past 3
12
B.
4 p.m.
C.
58 7 min. past 3
11
D.
2 3 min. past 4
11

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. = 37 hrs.
4

3 min. 5 sec. of this clock = 3 min. of the correct clock.

37 hrs of this clock = 1 hrs of the correct clock.
720 20

37 hrs of this clock = 1 x 720 x 37 hrs of the correct clock.
4 20 37 4

      = 9 hrs of the correct clock.

The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.

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15.

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

A.
3 hrs 15 min
B.
3 hrs 45 min
C.
4 hrs
D.
4 hrs 15 min

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Time taken by one tap to fill half of the tank = 3 hrs.

Part filled by the four taps in 1 hour = 4 x 1 = 2 .
6 3

Remaining part = 1 - 1 = 1 .
2 2

2 : 1 :: 1 : x
3 2

x = 1 x 1 x 3 = 3 hours i.e., 45 mins.
2 2 4

So, total time taken = 3 hrs. 45 mins.

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16.

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 (Not Answered)

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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17.

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:

A.
20 cm
B.
25 cm
C.
35 cm
D.
50 cm

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Total volume of water displaced = (4 x 50) m3 = 200 m3.

Rise in water level = 200 m 0.25 m = 25 cm.
40 x 20

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Direction (for Q.No. 18):
Find the odd man out.
18.

6, 9, 15, 21, 24, 28, 30

A.
28
B.
21
C.
24
D.
30

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Each of the numbers except 28, is a multiple of 3.

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Direction (for Q.No. 19):

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

19.

In how many days can 10 women finish a work?

I. 

10 men can complete the work in 6 days.

II. 

10 men and 10 women together can complete the work in 3 3 days
7

 III. 

If 10 men work for 3 days and thereafter 10 women replace them, the remaining work in completed in 4 days.

A.
Any two of the three
B.
I and II only
C.
II and III only
D.
I and III only
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

  I. (10 x 6) men can complete the work in 1 day.

      1 man's 1 day's work = 1
60


 II. 10 x 24 men + 10 x 24 women can complete the work in 1 day.
7 7

      240 men's 1 day work + 240 women's 1 day work = 1.
7 7

      240 x 1 + 240 women's 1 day's work = 1.
7 60 7

      240 women's 1 day's work = 1 - 4 = 3
7 7 7

      10 women's 1 day's work = 3 x 7 x 10 = 1
7 240 8

      So, 10 women can finish the work in 8 days.


III. (10 men's work for 3 days) + (10 women's work for 4 days) = 1

      (10 x 3) men's 1 day's work + (10 x 4) women's 1 day's work = 1

      30 men's 1 day's work + 40 women's 1 day's work = 1


      Thus, I and III will give us the answer.

      And, II and III will give us the answer.

      Correct answer is (A).

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20.

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:

A.
53.33
B.
54.68
C.
55
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Required average
= 55 x 50 + 60 x 55 + 45 x 60
55 + 60 + 45
= 2750 + 3300 + 2700
160
= 8750
160
= 54.68

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