Online Aptitude Test - Aptitude Test - Random

Instruction:

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  • Total number of questions: 20.
  • Time allotted: 30 minutes.
  • Each question carries 1 mark; there are no negative marks.
  • DO NOT refresh the page.
  • All the best!

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.
n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
3
2
1
0
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let n = 4q + 3. Then 2n = 8q + 6   = 4(2q + 1 ) + 2.

Thus, when 2n is divided by 4, the remainder is 2.


2.
666 ÷ 6 ÷ 3 = ?
37
333
111
84
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
Given Exp. = 666 x 1 x 1 = 37.
6 3

3.
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
4236
4306
4336
5336
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Divisor = (5 x 46) = 230

10 x Quotient = 230     = 230 = 23
10

Dividend = (Divisor x Quotient) + Remainder

    = (230 x 23) + 46

    = 5290 + 46

    = 5336.


4.
The difference between the place value and the face value of 6 in the numeral 856973 is
973
6973
5994
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
(Place value of 6) - (Face value of 6) = (6000 - 6) = 5994

5.
3.87 - 2.59 = ?
1.20
1.2
1.27
1.28
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

3.87 - 2.59 = (3 + 0.87) - (2 + 0.59)

= 3 + 87 - 2 + 59
99 99

= 1 + 87 - 59
99 99

= 1 + 28
99

= 1.28.


6.
(0.04)-1.5 = ?
25
125
250
625
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

(0.04)-1.5 = 4 -1.5
100

   = 1 -(3/2)
25

   = (25)(3/2)

   = (52)(3/2)

   = (5)2 x (3/2)

   = 53

   = 125.


7.
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
3 : 3 : 10
10 : 11 : 20
23 : 33 : 60
Cannot be determined
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let A = 2k, B = 3k and C = 5k.

A's new salary = 115 of 2k = 115 x 2k = 23k
100 100 10

B's new salary = 110 of 3k = 110 x 3k = 33k
100 100 10

C's new salary = 120 of 5k = 120 x 5k = 6k
100 100

New ratio 23k : 33k : 6k = 23 : 33 : 60
10 10


8.
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
2 : 5
3 : 7
5 : 3
7 : 3
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Let 40% of A = 2 B
3

Then, 40A = 2B
100 3

2A = 2B
5 3

A = 2 x 5 = 5
B 3 2 3

A : B = 5 : 3.


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).


10.
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
6 hours
10 hours
15 hours
30 hours
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

Suppose, first pipe alone takes x hours to fill the tank .

Then, second and third pipes will take (x -5) and (x - 9) hours respectively to fill the tank.

1 + 1 = 1
x (x - 5) (x - 9)

x - 5 + x = 1
x(x - 5) (x - 9)

(2x - 5)(x - 9) = x(x - 5)

x2 - 18x + 45 = 0

(x - 15)(x - 3) = 0

x = 15.    [neglecting x = 3]


11.
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:
Rs. 400
Rs. 500
Rs. 600
Rs. 800
Your Answer: Option
(Not Answered)
Correct Answer: Option
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


12.
The value of 1 + 1 + 1 is:
log3 60 log4 60 log5 60
0
1
5
60
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
Given expression = log60 3 + log60 4 + log60 5
= log60 (3 x 4 x 5)
= log60 60
= 1.

13.
The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
9 cm
18 cm
20 cm
41 cm
Your Answer: Option
(Not Answered)
Correct Answer: Option
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.


14.
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
2%
2.02%
4%
4.04%
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

100 cm is read as 102 cm.

A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.

(A2 - A1) = [(102)2 - (100)2]

= (102 + 100) x (102 - 100)

= 404 cm2.

Percentage error = 404 x 100 % = 4.04%
100 x 100


15.
In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:
86 sec
80 sec
76 sec
None of these
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

B runs 45 m in 6 sec.
2

B covers 300 m in 6 x 2 x 300 sec = 80 sec.
45


16.
At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?
5 min. past 7
5 2 min. past 7
11
5 3 min. past 7
11
5 5 min. past 7
11
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.

At 7 o'clock, they are 25 min. spaces apart.

Minute hand will have to gain only 5 min. spaces.

55 min. spaces are gained in 60 min.

5 min. spaces are gained in 60 x 5 min = 5 5 min.
55 11

Required time = 5 5 min. past 7.
11


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.
The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:
Rs. 1386
Rs. 1764
Rs. 1575
Rs. 2268
Your Answer: Option
(Not Answered)
Correct Answer: Option
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.


19.
The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:
Rs. 1325
Rs. 1300
Rs. 1350
Rs. 1500
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
Required sum = P.W. of Rs. 702 due 6 months + P.W. of Rs. 702 due 1 year hence
= Rs. 100 x 702 +
100 x 702
100 + (8 x 1)
100 + 8 x
= Rs. (675 + 650)
= Rs. 1325.

20.
The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:
Rs. 60
Rs. 108
Rs. 110
Rs. 112
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:

P.W. = Rs. (540 - 90) = Rs. 450.

S.I. on Rs. 450 = Rs. 90.

S.I. on Rs. 540 = Rs. 90 x 540 = Rs. 108.
450

B.D. = Rs. 108.


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