Online Aptitude Test - Aptitude Test - Random

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  • Total number of questions: 20.
  • Time allotted: 30 minutes.
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Marks : 2/20


Total number of questions
20
Number of answered questions
0
Number of unanswered questions
20
Test Review : View answers and explanation for this test.

1.
If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11 ?
4x + 6y
x + y + 4
9x + 4y
4x - 9y
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

By hit and trial, we put x = 5 and y = 1 so that (3x + 7y) = (3 x 5 + 7 x 1) = 22, which is divisible by 11.

(4x + 6y) = ( 4 x 5 + 6 x 1) = 26, which is not divisible by 11;

(x + y + 4 ) = (5 + 1 + 4) = 10, which is not divisible by 11;

(9x + 4y) = (9 x 5 + 4 x 1) = 49, which is not divisible by 11;

(4x - 9y) = (4 x 5 - 9 x 1) = 11, which is divisible by 11.


2.
A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is:
214
476
954
1908
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
 4 | x            z = 6 x 1 + 4  = 10
 -----------
 5 | y -2         y = 5 x z + 3  = 5 x 10 + 3  = 53
 -----------
 6 | z - 3        x = 4 x y + 2  = 4 x 53 + 2  = 214
 -----------
   | 1 - 4
   
Hence, required number = 214.

3.
476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively:
7 and 4
7 and 5
8 and 5
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let the given number be 476 xy 0.

Then (4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3.

And, (0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11.

x - y - 3 = 0    y = x - 3

(17 + x + y) = (17 + x + x - 3) = (2x + 14)

x= 2 or x = 8.

x = 8 and y = 5.


4.
Which of the following fractions is greater than 3 and less than 5 ?
4 6
1
2
2
3
4
5
9
10
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

3 = 0.75,    5 = 0.833,    1 = 0.5,    2 = 0.66,    4 = 0.8,    9 = 0.9.
4 6 2 3 5 10

Clearly, 0.8 lies between 0.75 and 0.833.

4 lies between 3 and 5 .
5 4 6


5.
0.04 x 0.0162 is equal to:
6.48 x 10-3
6.48 x 10-4
6.48 x 10-5
6.48 x 10-6
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
4 x 162 = 648. Sum of decimal places = 6.
So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10-4

6.
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
160
175
180
195
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Suppose the man works overtime for x hours.

Now, working hours in 4 weeks = (5 x 8 x 4) = 160.

160 x 2.40 + x x 3.20 = 432

3.20x = 432 - 384 = 48

x = 15.

Hence, total hours of work = (160 + 15) = 175.


7.
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
14 years
19 years
33 years
38 years
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let the son's present age be x years. Then, (38 - x) = x

2x = 38.

x = 19.

Son's age 5 years back (19 - 5) = 14 years.


8.
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
588 apples
600 apples
672 apples
700 apples
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Suppose originally he had x apples.

Then, (100 - 40)% of x = 420.

60 x x = 420
100

x = 420 x 100   = 700.
60

Video Explanation: https://youtu.be/-Pv25Do3WwY


Direction (Q.No. 9)

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.

9.

Three friends, P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share profit?

I. 

Total amount invested in the business in Rs. 22,000.

II. 

Profit earned at the end of 3 years is of the total investment.

 III. 

The average amount of profit earned per year is Rs. 2750.

I or II or III
Either III only, or I and II together
Any two of the three
All I, II and III are required.
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

I and II give, profit after 3 years = Rs. 3 x 22000 = Rs. 8250.
8

From III also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250.

P's share = Rs. 8250 x 5 = Rs. 3750.
11

Thus, (either III is redundant [or] I and II are redundant).

Correct answer is (B).


Direction (Q.No. 10)

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.
10.

Two cars pass each other in opposite direction. How long would they take to be 500 km apart?

I. 

The sum of their speeds is 135 km/hr.

 II. 

The difference of their speed is 25 km/hr.

I alone sufficient while II alone not sufficient to answer
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

I gives, relative speed = 135 km/hr.

Time taken = 500 hrs.
135

II does not give the relative speed.

I alone gives the answer and II is irrelevant.

Correct answer is (A).


11.
A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
65 sec
89 sec
100 sec
150 sec
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Speed = 240 m/sec = 10 m/sec.
24

Required time = 240 + 650 sec = 89 sec.
10


12.
A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:
4
5
6
10
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let the speed of the stream be x km/hr. Then,

Speed downstream = (15 + x) km/hr,

Speed upstream = (15 - x) km/hr.

30 + 30 = 4 1
(15 + x) (15 - x) 2

900 = 9
225 - x2 2

9x2 = 225

x2 = 25

x = 5 km/hr.

Video Explanation: https://youtu.be/lMFnNB3YQOo


13.
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
4%
6%
20%
25%
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let C.P. of 1 litre milk be Re. 1

Then, S.P. of 1 litre of mixture = Re. 1, Gain = 25%.

C.P. of 1 litre mixture = Re. 100 x 1 = 4
125 5

By the rule of alligation, we have:

C.P. of 1 litre of milk C.P. of 1 litre of water
Re. 1 Mean Price
Re. 4
5
0
4
5
1
5

Ratio of milk to water = 4 : 1 = 4 : 1.
5 5

Hence, percentage of water in the mixture = 1 x 100 % = 20%.
5


14.
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
Rs. 2000
Rs. 10,000
Rs. 15,000
Rs. 20,000
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Principal = Rs. 100 x 5400 = Rs. 15000.
12 x 3


Direction (Q.No. 15)

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.

15.

What is the rate of interest p.c.p.a.?

I. 

An amount doubles itself in 5 years on simple interest.

II. 

Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400.

 III. 

Simple interest earned per annum is Rs. 2000.

I only
II and III only
All I, II and III
Any two of the three
I only or II and III only
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

  I. P x R x 5 = P         R = 20.
100

 II. P 1 + R 2 - P - P x R x 2 = 400         PR2 = 4000000.
100 100

III. P x R x 1 = 2000         PR = 200000.
100

PR2 = 4000000         R = 20.
PR 200000

Thus I only or (II and III) give answer.

Correct answer is (E).


Direction (Q.No. 16)

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.

16.

What is the capacity of the cylindrical tank?

I. 

The area of the base is 61,600 sq. cm.

II. 

The height of the tank is 1.5 times the radius.

 III. 

The circumference of base is 880 cm.

Only I and II
Only II and III
Only I and III
Any two of the three
Only II and either I or III
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Capacity = r2h.

I gives, r2 = 61600. This gives r.

II gives, h = 1.5 r.

Thus, I and II give the answer.

Again, III gives 2r = 880. This gives r.

So, II and III also give the answer.

Correct answer is (E).


17.
A 6% stock yields 8%. The market value of the stock is:
Rs. 48
Rs. 75
Rs. 96
Rs. 133.33
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

For an income of Rs. 8, investment = Rs. 100.

For an income of Rs. 6, investment = Rs. 100 x 6 = Rs. 75.
8

Market value of Rs. 100 stock = Rs. 75.


18.
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
40
400
5040
2520
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

'LOGARITHMS' contains 10 different letters.

Required number of words = Number of arrangements of 10 letters, taking 4 at a time.
= 10P4
= (10 x 9 x 8 x 7)
= 5040.


19.

The banker's gain on a certain sum due 1 1 years hence is 3 of the banker's
2 25

discount. The rate percent is:

5 1 %
5
9 1 %
11
8 1 %
8
6 1 %
6
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let, B.D = Re. 1.

Then, B.G. = Re. 3 .
25

T.D. = (B.D. - B.G.) = Re. 1 - 3 = Re. 22 .
25 25

Sum = 1 x (22/25) = Rs. 22 .
1-(22/25) 3

S.I. on Rs. 22 for 1 1 years is Re. 1.
3 2

Rate = 100 x 1 %
= 100 = 9 1 %.
11 11
22 x 3
3 2


Direction (Q.No. 20)
Find the odd man out.
20.
1, 4, 9, 16, 20, 36, 49
1
9
20
49
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
The pattern is 12, 22, 32, 42, 52, 62, 72. But, instead of 52, it is 20 which to be turned out.

*** END OF THE TEST ***
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