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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 :-).


Direction (for Q.No. 1):

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.
1.

The average age of P, Q, R and S is 30 years. How old is R?

I. 

The sum of ages of P and R is 60 years.

 II. 

S is 10 years younger than R.

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:

P + Q + R + S = (30 x 4)      P + Q + R + S = 120 .... (i)

 I. P + R = 60 .... (ii)

II. S = (R - 10) .... (iii)

From (i), (ii) and (iii), we cannot find R.

Correct answer is (D)

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2.

Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:

A.
5 min.
B.
9 min.
C.
10 min.
D.
15 min.

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let B be turned off after x minutes. Then,

Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1.

x 2 + 1 + (30 - x). 2 = 1
75 45 75

11x + (60 -2x) = 1
225 75

11x + 180 - 6x = 225.

x = 9.

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3.

A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:

A.
gains Rs. 55
B.
gains Rs. 50
C.
loses Rs. 30
D.
gains Rs. 30

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

S.P. = P.W. of Rs. 2200 due 1 year hence
= Rs. 2200 x 100
100 + (10 x 1)
= Rs. 2000.

Gain = Rs. (2000 - 1950) = Rs. 50.

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4.

What is the probability of getting a sum 9 from two throws of a dice?

A.
1
6
B.
1
8
C.
1
9
D.
1
12

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

In two throws of a dice, n(S) = (6 x 6) = 36.

Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.

P(E) = n(E) = 4 = 1 .
n(S) 36 9

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5.

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:

A.
1
13
B.
2
13
C.
1
26
D.
1
52

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Here, n(S) = 52.

Let E = event of getting a queen of club or a king of heart.

Then, n(E) = 2.

P(E) = n(E) = 2 = 1 .
n(S) 52 26

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6.

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

A.
1 day
24
B.
7 day
24
C.
3 3 days
7
D.
4 days

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Formula: If A can do a piece of work in n days, then A's 1 day's work = 1 .
n

(A + B + C)'s 1 day's work = 1 + 1 + 1 = 7 .
24 6 12 24

Formula: If A's 1 day's work = 1 , then A can finish the work in n days.
n

So, all the three together will complete the job in 24 days = 3 3 days.
7 7

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7.

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

A.
30 days
B.
40 days
C.
60 days
D.
70 days

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let A's 1 day's work = x and B's 1 day's work = y.

Then, x + y = 1 and 16x + 44y = 1.
30

Solving these two equations, we get: x = 1 and y = 1
60 60

B's 1 day's work = 1 .
60

Hence, B alone shall finish the whole work in 60 days.

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8.

Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

A.
7 hours 30 minutes
B.
8 hours
C.
8 hours 15 minutes
D.
8 hours 25 minutes

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Number of pages typed by Ravi in 1 hour = 32 = 16 .
6 3

Number of pages typed by Kumar in 1 hour = 40 = 8.
5

Number of pages typed by both in 1 hour = ( 16 + 8 ) = 40 .
3 3

Therefore Time taken by both to type 110 pages = ( 110 x 3 ) hours
40

= 8 1 hours (or) 8 hours 15 minutes.
4

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Direction (for Q.No. 9):
Find out the wrong number in the given sequence of numbers.
9.

36, 54, 18, 27, 9, 18.5, 4.5

A.
4.5
B.
18.5
C.
54
D.
18

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

The terms are alternatively multiplied by 1.5 and divided by 3. However, 18.5 does not satisfy it.

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10.

The fourth proportional to 5, 8, 15 is:

A.
18
B.
24
C.
19
D.
20

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let the fourth proportional to 5, 8, 15 be x.

Then, 5 : 8 : 15 : x

5x = (8 x 15)

x = (8 x 15) = 24.
5

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11.

The present worth of a certain bill due sometime hence is Rs. 800 and the true discount is Rs. 36. The banker's discount is:

A.
Rs. 37
B.
Rs. 37.62
C.
Rs. 34.38
D.
Rs. 38.98

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

B.G. = (T.D.)2 = Rs. 36 x 36 = Rs. 1.62
P.W. 800

B.D. = (T.D. + B.G.) = Rs. (36 + 1.62) = Rs. 37.62

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12.

The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:

A.
3 months
B.
4 months
C.
6 months
D.
8 months

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

S.I. on Rs. 1600 = T.D. on Rs. 1680.

Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%.

Time = 100 x 80 year = 1 year = 4 months.
1600 x 15 3

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13.

The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

A.
9 cm
B.
18 cm
C.
20 cm
D.
41 cm

Your Answer: Option (Not Answered)

Correct Answer: Option B

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.

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14.

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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15.

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

A.
75 cu. m
B.
750 cu. m
C.
7500 cu. m
D.
75000 cu. m

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

1 hectare = 10,000 m2

So, Area = (1.5 x 10000) m2 = 15000 m2.

Depth = 5 m = 1 m.
100 20

Volume = (Area x Depth) = 15000 x 1 m3 = 750 m3.
20

Video Explanation: https://youtu.be/dDbVuBzYop8

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16.

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

A.
22.75 m
B.
25 m
C.
19.5 m
D.
7 4 m
7

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

A : B = 200 : 169.

A : C = 200 : 182.

C = C x A = 182 x 200 = 182 : 169.
B A B 200 169

When C covers 182 m, B covers 169 m.

When C covers 350 m, B covers 169 x 350 m = 325 m.
182

Therefore, C beats B by (350 - 325) m = 25 m.

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17.

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

A.
3
B.
4
C.
9
D.
Cannot be determined
E.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let the ten's digit be x and unit's digit be y.

Then, (10x + y) - (10y + x) = 36

9(x - y) = 36

x - y = 4.

Video Explanation: https://youtu.be/7QOJjAmGVx0

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18.

If one-third of one-fourth of a number is 15, then three-tenth of that number is:

A.
35
B.
36
C.
45
D.
54

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Let the number be x.

Then, 1 of 1 of x = 15      x = 15 x 3 x 4 = 180.
3 4

So, required number = 3 x 180 = 54.
10

Video Explanation: https://youtu.be/z49OUnzTnwY

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19.

(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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20.

A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

A.
4 km/hr
B.
6 km/hr
C.
8 km/hr
D.
Data inadequate

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Rate downstream = 16 kmph = 8 kmph.
2

Rate upstream = 16 kmph = 4 kmph.
4

Speed in still water = 1 (8 + 4) kmph = 6 kmph.
2

Video Explanation: https://youtu.be/3D8uAfzz3l0

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