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.

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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2.

Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

A.
2 years
B.
4 years
C.
6 years
D.
8 years

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Mother's age when Ayesha's brother was born = 36 years.

Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.

Required difference = (42 - 36) years = 6 years.

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3.

The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:

A.
Rs. 1386
B.
Rs. 1764
C.
Rs. 1575
D.
Rs. 2268

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let P.W. be Rs. x.

Then, S.I. on Rs. x at 16% for 9 months = Rs. 189.

x x 16 x 9 x 1 = 189 or x = 1575.
12 100

P.W. = Rs. 1575.

Sum due = P.W. + T.D. = Rs. (1575 + 189) = Rs. 1764.

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4.

The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:

A.
6 months
B.
8 months
C.
9 months
D.
10 months

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

P.W. = Rs. (1760 -160) = Rs. 1600.

S.I. on Rs. 1600 at 12% is Rs. 160.

Time = 100 x 160 = 5 years = 5 x 12 months = 10 months.
1600 x 12 6 6

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5.

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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6.

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

A.
5 : 7 : 8
B.
20 : 49 : 64
C.
38 : 28 : 21
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.

Then, 14x : 8y : 7z = 5 : 7 : 8.

Now, 14x = 5       98x = 40y       y = 49 x
8y 7 20

And, 14x = 5       112x = 35z       z = 112 x = 16 x.
7z 8 35 5

x : y : z = x : 49 x : 16 x = 20 : 49 : 64.
20 5

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7.

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

A.
400 kg
B.
560 kg
C.
600 kg
D.
640 kg

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

By the rule of alligation, we have:

Profit on 1st part Profit on 2nd part
8% Mean Profit
14%
18%
4 6

Ration of 1st and 2nd parts = 4 : 6 = 2 : 3

Quantity of 2nd kind = 3 x 1000 kg = 600 kg.
5

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8.

What was the day of the week on 28th May, 2006?

A.
Thursday
B.
Friday
C.
Saturday
D.
Sunday

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)

Odd days in 1600 years = 0

Odd days in 400 years = 0

5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) 6 odd days

Jan.  Feb.   March    April    May 
(31 +  28  +  31   +   30   +   28 ) = 148 days

148 days = (21 weeks + 1 day) 1 odd day.

Total number of odd days = (0 + 0 + 6 + 1) = 7 0 odd day.

Given day is Sunday.

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9.

If log10 2 = 0.3010, then log2 10 is equal to:

A.
699
301
B.
1000
301
C.
0.3010
D.
0.6990

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

log2 10 = 1 = 1 = 10000 = 1000 .
log10 2 0.3010 3010 301

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10.

A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

A.
Rs. 4991
B.
Rs. 5991
C.
Rs. 6001
D.
Rs. 6991

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.

Required sale = Rs. [ (6500 x 6) - 34009 ]

   = Rs. (39000 - 34009)

   = Rs. 4991.

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Direction (for Q.Nos. 11 - 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.
11.

The area of a rectangle is equal to the area of right-angles triangle. What is the length of the rectangle?

I. 

The base of the triangle is 40 cm.

 II. 

The height of the triangle is 50 cm.

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 D

Explanation:

Given: Area of rectangle = Area of a right-angles triangle.

l x b = 1 x B x H
2

I gives, B = 40 cm.

II gives, H = 50 cm.

Thus, to find l, we need b also, which is not given.

Given data is not sufficient to give the answer.

Correct answer is (D).

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12.

The area of playground is 1600 m2. What is the perimeter?

I. 

It is a perfect square playground.

 II. 

It costs Rs. 3200 to put a fence around the playground at the rate of Rs. 20 per metre.

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:

Area = 1600 m2.

 I. Side = 1600 m = 40 m. So, perimeter = (40 x 4) m = 160 m.

I alone gives the answer.

II. Perimeter = Total cost = 3200 m = 160 m.
Cost per metre 20

II alone gives the answer.

Correct answer is (C).

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Direction (for Q.No. 13):
Insert the missing number.
13.

11, 13, 17, 19, 23, 29, 31, 37, 41, (....)

A.
43
B.
47
C.
53
D.
51

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Numbers are all primes. The next prime is 43.

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14.

The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is:

A.
Rs. 360
B.
Rs. 432
C.
Rs. 540
D.
Rs. 1080

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Sum = B.D. x T.D. = Rs. 72 x 60 = Rs. 72 x 60 = Rs. 360.
B.D. - T.D. 72 - 60 12

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Direction (for Q.No. 15):

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.

15.

8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work?

I. 

19 men and 12 women together can complete the work in 18 days.

II. 

16 men can complete two-third of the work in 16 days.

 III. 

In 1 day, the work done by three men in equal to the work done by four women.

A.
I only
B.
II only
C.
III only
D.
I or II or III
E.
II or III only

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Clearly, I only gives the answer.

Similarly, II only gives the answer.

And, III only gives the answer.

Correct answer is (D).

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16.

A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:

A.
Rs. 456
B.
Rs. 458
C.
Rs. 558
D.
Rs. 568

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Area to be plastered = [2(l + b) x h] + (l x b)
= {[2(25 + 12) x 6] + (25 x 12)} m2
= (444 + 300) m2
= 744 m2.

Cost of plastering = Rs. 744 x 75 = Rs. 558.
100

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17.

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

A.
2.91 m
B.
3 m
C.
5.82 m
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Area of the park = (60 x 40) m2 = 2400 m2.

Area of the lawn = 2109 m2.

Area of the crossroads = (2400 - 2109) m2 = 291 m2.

Let the width of the road be x metres. Then,

60x + 40x - x2 = 291

x2 - 100x + 291 = 0

(x - 97)(x - 3) = 0

x = 3.

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Direction (for Q.No. 18):
Find out the wrong number in the series.
18.

445, 221, 109, 46, 25, 11, 4

A.
221
B.
109
C.
46
D.
25
E.
11

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Go on subtracting 3 and dividing the result by 2 to obtain the next number.

Clearly, 46 is wrong.

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19.

What decimal of an hour is a second ?

A.
.0025
B.
.0256
C.
.00027
D.
.000126

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Required decimal = 1 = 1 = .00027
60 x 60 3600

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20.

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

A.
720
B.
900
C.
1200
D.
1800

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

2(15 + 12) x h = 2(15 x 12)

h = 180 m = 20 m.
27 3

Volume = 15 x 12 x 20 m3 = 1200 m3.
3

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