# Online Aptitude Test - Aptitude Test - Random

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.

In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

A.
 3 km/hr
B.
 5 km/hr
C.
 8 km/hr
D.
 9 km/hr

Explanation:

 Speed in still water = 1 (11 + 5) kmph = 8 kmph. 2

Direction (for Q.No. 2):

In each of the following questions, a question is asked and is followed by three statements. While answering the question, you may or may not require the data provided in all the statements. You have to read the question and the three statements and then decide whether the question can be answered with any one or two of the statements or all the three statements are required to answer the question. The answer number bearing the statements, which can be dispensed with, if any, while answering the question is your answer.

2.

 What is the compound interest earned at the end of 3 years? I. Simple interest earned on that amount at the same rate and for the same period is Rs. 4500. II. The rate of interest is 10 p.c.p.a. III. Compound interest for 3 years is more than the simple interest for that period by Rs. 465.

A.
 I and II only
B.
 II and III only
C.
 I and III only
D.
 I and Either II or III only
E.
 Any two of the three

Explanation:

I. gives, S.I for 3 years = Rs. 4500.

II. gives, Rate = 10% p.a.

III. gives, (C.I.) - (S.I.) = Rs. 465.

Clearly, using I and III we get C.I. = Rs. (465 + 4500).

Thus, II is redundant.

 Also, from I and II, we get sum = 100 x 4500 = 15000. 10 x 3

Now C.I. on Rs. 15000 at 10% p.a. for 3 years may be obtained.

Thus, III is redundant.

Either II or III is redundant.

Direction (for Q.No. 3):
Insert the missing number.
3.

4, -8, 16, -32, 64, (....)

A.
 128
B.
 -128
C.
 192
D.
 -192

Explanation:

Each number is the proceeding number multiplied by -2.

So, the required number is -128.

4.

How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

A.
 5600
B.
 6000
C.
 6400
D.
 7200

Explanation:

 Number of bricks = Volume of the wall = 800 x 600 x 22.5 = 6400. Volume of 1 brick 25 x 11.25 x 6

5.

In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?

A.
 72
B.
 80
C.
 120
D.
 150
E.
 100

Explanation:

Let the number of students be x. Then,

Number of students above 8 years of age = (100 - 20)% of x = 80% of x.

 80% of x = 48 + 2 of 48 3

 80 x = 80 100

x = 100.

6.

If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

A.
 2 : 5
B.
 3 : 7
C.
 5 : 3
D.
 7 : 3

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.

7.

The present worth of Rs. 2310 due 2 years hence, the rate of interest being 15% per annum, is:

A.
 Rs. 1750
B.
 Rs. 1680
C.
 Rs. 1840
D.
 Rs. 1443.75

Explanation:

P.W. = Rs. 100 x 2310 = Rs. 1680.
 100 + 15 x 5 2

Direction (for Q.No. 8):
Find out the wrong number in the series.
8.

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

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

Explanation:

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

Clearly, 46 is wrong.

9.

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

A.
 8 days
B.
 10 days
C.
 12 days
D.
 15 days

Explanation:

 (A + B)'s 1 day's work = 1 + 1 = 1 . 15 10 6

 Work done by A and B in 2 days = 1 x 2 = 1 . 6 3

 Remaining work = 1 - 1 = 2 . 3 3

 Now, 1 work is done by A in 1 day. 15

 2 work will be done by a in 15 x 2 = 10 days. 3 3

Hence, the total time taken = (10 + 2) = 12 days.

10.

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A.
 12 days
B.
 15 days
C.
 16 days
D.
 18 days

Explanation:

 A's 2 day's work = 1 x 2 = 1 . 20 10

 (A + B + C)'s 1 day's work = 1 + 1 + 1 = 6 = 1 . 20 30 60 60 10

 Work done in 3 days = 1 + 1 = 1 . 10 10 5

 Now, 1 work is done in 3 days. 5

Whole work will be done in (3 x 5) = 15 days.

Direction (for Q.No. 11):

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.

11.

 What is the speed of the train? I. The train crosses a signal pole in 18 seconds. II. The train crosses a platform of equal length in 36 seconds. III. Length of the train is 330 metres.

A.
 I and II only
B.
 II and III only
C.
 I and III only
D.
 III and either I or II only
E.
 Any two of the three

Explanation:

Let the speed of the train be x metres/sec.

 Time taken to cross a signal pole = Length of the train Speed of the train

 Time taken to cross a platform = (Length of the train + Length of the Platform) Speed of the train

Length of train = 330 m.

 I and III give, 18 = 330 x = 330 m/sec = 55 m/sec. x 18 3

 II and III give, 36 = 2 x 330 x = 660 m/sec = 55 m/sec. x 36 3

12.

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

A.
 69.5 km/hr
B.
 70 km/hr
C.
 79 km/hr
D.
 79.2 km/hr

Explanation:

Let the length of the train be x metres and its speed by y m/sec.

 Then, x = 8         x = 8y y

 Now, x + 264 = y 20

8y + 264 = 20y

y = 22.

 Speed = 22 m/sec = 22 x 18 km/hr = 79.2 km/hr. 5

13.

A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:

A.
 10
B.
 20
C.
 40
D.
 73

Explanation:

Let there be x pupils in the class.

 Total increase in marks = x x 1 = x 2 2

 x = (83 - 63) x = 20      x= 40. 2 2

14.

A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

A.
 10 21
B.
 11 21
C.
 2 7
D.
 5 7

Explanation:

Total number of balls = (2 + 3 + 2) = 7.

Let S be the sample space.

Then, n(S) = Number of ways of drawing 2 balls out of 7
= 7C2 `
 = (7 x 6) (2 x 1)
= 21.

Let E = Event of drawing 2 balls, none of which is blue.

n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls.
= 5C2
 = (5 x 4) (2 x 1)
= 10.

 P(E) = n(E) = 10 . n(S) 21

15.

A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.

A.
 Rs. 112.50
B.
 Rs. 125
C.
 Rs. 150
D.
 Rs. 167.50

Explanation:

Gain in 2 years
 = Rs. 5000 x 25 x 2 - 5000 x 4 x 2 4 100 100
= Rs. (625 - 400)
= Rs. 225.

 Gain in 1 year = Rs. 225 = Rs. 112.50 2

16.

Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

A.
 10 min. 20 sec.
B.
 11 min. 45 sec.
C.
 12 min. 30 sec.
D.
 14 min. 40 sec.

Explanation:

 Part filled in 4 minutes = 4 1 + 1 = 7 . 15 20 15

 Remaining part = 1 - 7 = 8 . 15 15

 Part filled by B in 1 minute = 1 20

 1 : 8 :: 1 : x 20 15

 x = 8 x 1 x 20 = 10 2 min = 10 min. 40 sec. 15 3

The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec.

17.

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

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.

18.

There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

A.
 20
B.
 80
C.
 100
D.
 200

Explanation:

Let the number of students in rooms A and B be x and y respectively.

Then, x - 10 = y + 10      x - y = 20 .... (i)

and x + 20 = 2(y - 20)      x - 2y = -60 .... (ii)

Solving (i) and (ii) we get: x = 100 , y = 80.

The required answer A = 100.

19.

3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

A.
 9
B.
 10
C.
 11
D.
 12

Explanation:

Let the required number of working hours per day be x.

More pumps, Less working hours per day (Indirect Proportion)

Less days, More working hours per day (Indirect Proportion)

 Pumps 4 : 3 :: 8 : x Days 1 : 2

4 x 1 x x = 3 x 2 x 8

 x = (3 x 2 x 8) (4)

x = 12.

20.

 A shopkeeper sells some articles at the profit of 25% on the original price. What is the exact amount of profit? To find the answer, which of the following information given in Statements I and II is/are necessary? I. Sale price of the article II. Number of articles sold

A.
 Only I is necessary
B.
 Only II is necessary
C.
 Either I or II is necessary
D.
 Both I and II are necessary
E.
 None of these

Explanation:

Gain = 25% of C.P.

In order to find gain, we must know the sale price of each article and the number of articles sold.