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Instruction:

  • This is a FREE online test. DO NOT pay money to anyone to attend this test.
  • 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.

An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is:
A.
21.6 m
B.
23.2 m
C.
24.72 m
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let AB be the observer and CD be the tower.

Draw BE CD.

Then, CE = AB = 1.6 m,

      BE = AC = 203 m.

DE = tan 30° = 1
BE 3

DE = 203 m = 20 m.
3

CD = CE + DE = (1.6 + 20) m = 21.6 m.

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[#]
Direction (for Q.No. 2):

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.
2.

By selling a product with 20% profit, how much profit was earned?

I. 

The difference between cost and selling price is Rs. 40.

 II. 

The selling price is 120 percent of the cost price.

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 A

Explanation:

Gain = 20%

I. Profit = (S.P.) - (C.P.) = Rs. 40.

Thus, I give the answer. But, II does not give the answer.

Correct answer is (A).

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[#]
Direction (for Q.No. 3):

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.

3.

What is Ravi's present age?

I. 

The present age of Ravi is half of that of his father.

II. 

After 5 years, the ratio of Ravi's age to that of his father's age will be 6 : 11.

 III. 

Ravi is 5 years younger than his brother.

A.
I and II only
B.
II and III only
C.
I and III only
D.
All I, II and III
E.
Even with all the three statements answer cannot be determined.

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

  I. Let Ravi's present age be x years. Then, his father's present age = 2x years.

 II. After 5 years, Ravi's age = 6
Father's age 11

III. Ravi is younger than his brother.

From I and II, we get x + 5 = 6 .   This gives x, the answer.
2x + 5 11

Thus, I and II together give the answer. Clearly, III is redundant.

Correct answer is (A).

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4.

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

A.
266
B.
5040
C.
11760
D.
86400
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Required number of ways = (8C5 x 10C6)
= (8C3 x 10C4)
= 8 x 7 x 6 x 10 x 9 x 8 x 7
3 x 2 x 1 4 x 3 x 2 x 1
= 11760.

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[#]
Direction (for Q.No. 5):

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.
5.

What is Sonia's present age?

I. 

Sonia's present age is five times Deepak's present age.

 II. 

Five years ago her age was twenty-five times Deepak's age at that time.

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:

 I. S = 5D    D = S ....(i)
5

II. S - 5 = 25 (D - 5)    S = 25D - 120 ....(ii)

Using (i) in (ii), we get S = 25 x S - 120
5

4S = 120.

S = 30.

Thus, I and II both together give the answer. So, correct answer is (E).

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[#]
6.

0.0169 x ? = 1.3
A.
10
B.
100
C.
1000
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let 0.0169 x x = 1.3.

Then, 0.0169x = (1.3)2 = 1.69

x = 1.69 = 100
0.0169

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[#]
7.

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

Your Answer: Option (Not Answered)

Correct Answer: Option A

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

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[#]
8.

A shopkeeper sells some toys at Rs. 250 each. What percent profit does he make? To find the answer, which of the following information given in Statements I and II is/are necessary?

I. 

Number of toys sold.

 II. 

Cost price of each toy.

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

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

S.P. = Rs. 250 each.

To find gain percent, we must know the C.P. of each.

Correct answer is (B).

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[#]
9.

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

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

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

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[#]
Direction (for Q.No. 10):

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.

10.

By selling an article what is the profit percent gained?

I. 

5% discount is given on list price.

II. 

If discount is not given, 20% profit is gained.

 III. 

The cost price of the articles is Rs. 5000.

A.
Only I and II
B.
Only II and III
C.
Only I and III
D.
All I, II and III
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

 I. Let the list price be Rs. x.

Then, S.P. = 95% of Rs. x = Rs. x x 95 = Rs. 19x
100 20

II. When S.P. = Rs. x and gain = 20%.

Then, C.P. = Rs. 100 x x = Rs. 5x
120 6

Gain = 19x - 5x = 57x - 50x = 7x
20 6 60 60

Gain % = 7x x 6 x 100 % = 14%.
60 5x

Thus, I and II only give the answer.

Correct answer is (A).

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[#]
11.

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 ?

A.
160
B.
175
C.
180
D.
195

Your Answer: Option (Not Answered)

Correct Answer: Option B

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.

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[#]
Direction (for Q.No. 12):
Insert the missing number.
12.

8, 7, 11, 12, 14, 17, 17, 22, (....)

A.
27
B.
20
C.
22
D.
24

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

There are two series (8, 11, 14, 17, 20) and (7, 12, 17, 22) increasing by 3 and 5 respectively.

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[#]
13.

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:
A.
4 4 %
7
B.
5 5 %
11
C.
10%
D.
12%

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.

Selling Price (S.P.) = Rs. 5800.

Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.

Gain % = 300 x 100 % = 5 5 %
5500 11

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[#]
14.

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

A.
4 days
B.
6 days
C.
8 days
D.
12 days

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Suppose A, B and C take x, x and x days respectively to finish the work.
2 3

Then, 1 + 2 + 3 = 1
x x x 2

6 = 1
x 2

x = 12.

So, B takes (12/2) = 6 days to finish the work.

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[#]
15.

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:

A.
53.33
B.
54.68
C.
55
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Required average
= 55 x 50 + 60 x 55 + 45 x 60
55 + 60 + 45
= 2750 + 3300 + 2700
160
= 8750
160
= 54.68

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16.

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A.
320 m
B.
350 m
C.
650 m
D.
Data inadequate

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Speed = ( 300 ( m/sec = 50 m/sec.
18 3

Let the length of the platform be x metres.

Then, ( x + 300 ( = 50
39 3

=> 3(x + 300) = 1950

=> x = 350 m.

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[#]
Direction (for Q.No. 17):
Find out the wrong number in the given sequence of numbers.
17.

105, 85, 60, 30, 0, -45, -90

A.
0
B.
85
C.
-45
D.
60

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Subtract 20, 25, 30, 35, 40, 45 from successive numbers.

So, 0 is wrong.

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[#]
18.

(243)n/5 x 32n + 1 = ?

9n x 3n - 1

A.
1
B.
2
C.
9
D.
3n

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Given Expression
= (243)(n/5) x 32n + 1

9n x 3n - 1
= (35)(n/5) x 32n + 1

(32)n x 3n - 1
= (35 x (n/5) x 32n + 1)

(32n x 3n - 1)
= 3n x 32n + 1

32n x 3n - 1
= 3(n + 2n + 1)

3(2n + n - 1)
=

33n + 1

33n - 1
= 3(3n + 1 - 3n + 1)   = 32   = 9.

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[#]
19.

The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:

A.
0.02
B.
0.2
C.
0.04
D.
0.4

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Given expression = (11.98)2 + (0.02)2 + 11.98 x x.

For the given expression to be a perfect square, we must have

11.98 x x = 2 x 11.98 x 0.02 or x   = 0.04

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[#]
20.

The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:

A.
Rs. 60
B.
Rs. 108
C.
Rs. 110
D.
Rs. 112

Your Answer: Option (Not Answered)

Correct Answer: Option B

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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