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 :-).

Direction (for Q.No. 1):
Insert the missing number.
1.

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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2.

Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

A.
1 year
B.
2 years
C.
25 years
D.
Data inadequate
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Given that:

1. The difference of age b/w R and Q = The difference of age b/w Q and T.

2. Sum of age of R and T is 50 i.e. (R + T) = 50.

Question: R - Q = ?.

Explanation:

R - Q = Q - T

(R + T) = 2Q

Now given that, (R + T) = 50

So, 50 = 2Q and therefore Q = 25.

Question is (R - Q) = ?

Here we know the value(age) of Q (25), but we don't know the age of R.

Therefore, (R-Q) cannot be determined.

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Direction (for Q.No. 3):
Find the odd man out.
3.

1, 4, 9, 16, 20, 36, 49

A.
1
B.
9
C.
20
D.
49

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

The pattern is 12, 22, 32, 42, 52, 62, 72. But, instead of 52, it is 20 which to be turned out.

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Direction (for Q.No. 4):
Find out the wrong number in the given sequence of numbers.
4.

6, 13, 18, 25, 30, 37, 40

A.
25
B.
30
C.
37
D.
40

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5.

So, 40 is wrong.

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5.

The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

A.
12
B.
16
C.
24
D.
48

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.

So, the numbers 12 and 16.

L.C.M. of 12 and 16 = 48.

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6.

The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

A.
1008
B.
1015
C.
1022
D.
1032

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Required number = (L.C.M. of 12,16, 18, 21, 28) + 7

   = 1008 + 7

   = 1015

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7.

The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

A.
9 cm
B.
18 cm
C.
20 cm
D.
41 cm

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

l2 + b2 = 41.

Also, lb = 20.

(l + b)2 = (l2 + b2) + 2lb = 41 + 40 = 81

(l + b) = 9.

Perimeter = 2(l + b) = 18 cm.

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8.

Goods were bought for Rs. 600 and sold the same for Rs. 688.50 at a credit of 9 months and thus gaining 2% The rate of interest per annum is:

A.
16 2 %
3
B.
14 1 %
2
C.
13 1 %
3
D.
15%

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

S.P. = 102% of Rs. 600 = 102 x 600 = Rs. 612.
100

Now, P.W. = Rs. 612 and sum = Rs. 688.50.

T.D. = Rs. (688.50 - 612) = Rs. 76.50.

Thus, S.I. on Rs. 612 for 9 months is Rs. 76.50.

Rate = 100 x 76.50 % = 16%
612 x 3
4

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9.

If a = 0.1039, then the value of 4a2 - 4a + 1 + 3a is:

A.
0.1039
B.
0.2078
C.
1.1039
D.
2.1039

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

4a2 - 4a + 1 + 3a = (1)2 + (2a)2 - 2 x 1 x 2a + 3a

   = (1 - 2a)2 + 3a

   = (1 - 2a) + 3a

   = (1 + a)

   = (1 + 0.1039)

   = 1.1039

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10.

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 (Not Answered)

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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11.

Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

A.
Rs. 6876.10
B.
Rs. 6999.20
C.
Rs. 6654
D.
Rs. 7000

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Rebate = 6% of Rs. 6650 = Rs. 6 x 6650 = Rs. 399.
100

Sales tax = 10% of Rs. (6650 - 399) = Rs. 10 x 6251 = Rs. 625.10
100

Final amount = Rs. (6251 + 625.10) = Rs. 6876.10

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12.

If a x - 1 = b x - 3 , then the value of x is:
b a

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

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Given a x - 1 = b x - 3
b a

a x - 1 = a -(x - 3)  =  a (3 - x)
b b b

x - 1 = 3 - x

2x = 4

x = 2.

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13.

A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

A.
26.34 litres
B.
27.36 litres
C.
28 litres
D.
29.16 litres

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Amount of milk left after 3 operations = 40 1 - 4 3  litres
40

   = 40 x 9 x 9 x 9 = 29.16 litres.
10 10 10

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14.

A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

A.
1
22
B.
3
22
C.
2
91
D.
2
77

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let S be the sample space.

Then, n(S) = number of ways of drawing 3 balls out of 15
= 15C3
= (15 x 14 x 13)
(3 x 2 x 1)
= 455.

Let E = event of getting all the 3 red balls.

n(E) = 5C3 = 5C2 = (5 x 4) = 10.
(2 x 1)

P(E) = n(E) = 10 = 2 .
n(S) 455 91

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15.

How many times in a day, the hands of a clock are straight?

A.
22
B.
24
C.
44
D.
48

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

In 12 hours, the hands coincide or are in opposite direction 22 times.

In 24 hours, the hands coincide or are in opposite direction 44 times a day.

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16.

A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?

A.
15 min
B.
20 min
C.
27.5 min
D.
30 min

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Part filled by (A + B) in 1 minute = 1 + 1 = 1 .
60 40 24

Suppose the tank is filled in x minutes.

Then, x 1 + 1 = 1
2 24 40

x x 1 = 1
2 15

x = 30 min.

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17.

Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?

A.
5
11
B.
6
11
C.
7
11
D.
8
11

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Part filled by (A + B + C) in 3 minutes = 3 1 + 1 + 1 = 3 x 11 = 11 .
30 20 10 60 20

Part filled by C in 3 minutes = 3 .
10

Required ratio = 3 x 20 = 6 .
10 11 11

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18.

In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?

A.
20
B.
30
C.
40
D.
50

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

There is a meal for 200 children. 150 children have taken the meal.

Remaining meal is to be catered to 50 children.

Now, 200 children 120 men.

50 children 120 x 50 = 30 men.
200

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19.

In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?

A.
1
B.
1
40
C.
40
D.
80

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let the required number of days be x.

Less cows, More days (Indirect Proportion)

Less bags, Less days (Direct Proportion)

Cows 1 : 40 :: 40 : x
Bags 40 : 1

1 x 40 x x = 40 x 1 x 40

x = 40.

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Direction (for Q.No. 20):

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.
20.

What is the length of a running train crossing another 180 metre long train running in the opposite direction?

I. 

The relative speed of the two trains was 150 kmph.

 II. 

The trains took 9 seconds to cross each other.

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 E

Explanation:

Let the two trains of length a metres and b metres be moving in opposite directions at u m/s and v m/s.

Time taken to cross each other = (a + b) sec.
(u + v)

Now, b = 180, u + v = 150 x 5 m/sec = 125 m/sec.
18 3

9 = a + 180
(125/3)

a = (375 - 180) = 195 m.

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