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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

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

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

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2.

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

A.
Rs. 2000
B.
Rs. 2200
C.
Rs. 2400
D.
Data inadequate

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let C.P. be Rs. x.

Then, 1920 - x x 100 = x - 1280 x 100
x x

1920 - x = x - 1280

2x = 3200

x = 1600

Required S.P. = 125% of Rs. 1600 = Rs. 125 x 1600 = Rs 2000.
100

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3.

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

A.
45 m
B.
50 m
C.
54 m
D.
72 m

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

2 kmph = ( 2 x 5 ( m/sec = 5 m/sec.
18 9

4 kmph = ( 4 x 5 ( m/sec = 10 m/sec.
18 9

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

Then, ( x ( = 9 and ( x ( = 10.
y - 5
9
y - 10
9

Therefore 9y - 5 = x and 10(9y - 10) = 9x

=> 9y - x = 5 and 90y - 9x = 100.

On solving, we get: x = 50.

Therefore Length of the train is 50 m.

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4.

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:

A.
50 m
B.
72 m
C.
80 m
D.
82 m

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let the length of each train be x metres.

Then, distance covered = 2x metres.

Relative speed = (46 - 36) km/hr

   = 10 x 5 m/sec
18

   = 25 m/sec
9

2x = 25
36 9

2x = 100

x = 50.

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5.

.009 = .01
?

A.
.0009
B.
.09
C.
.9
D.
9

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let .009 = .01;     Then x = .009 = .9 = .9
x .01 1

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6.

What decimal of an hour is a second ?

A.
.0025
B.
.0256
C.
.00027
D.
.000126

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Required decimal = 1 = 1 = .00027
60 x 60 3600

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7.

The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02 is:
0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04

A.
0.0125
B.
0.125
C.
0.25
D.
0.5

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Given expression = (0.1)3 + (0.02)3 = 1 = 0.125
23 [(0.1)3 + (0.02)3] 8

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8.

34.95 + 240.016 + 23.98 = ?

A.
298.0946
B.
298.111
C.
298.946
D.
299.09

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

   34.95
  240.016
 + 23.98
 --------
  298.946
 --------    

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9.

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A.
23 days
B.
37 days
C.
371/2
D.
40 days

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Whole work is done by A in ( 20 x 5 ) = 25 days.
4

Now, ( 1 - 4 ) i.e., 1 work is done by A and B in 3 days.
5 5

Whole work will be done by A and B in (3 x 5) = 15 days.

A's 1 day's work = 1 , (A + B)'s 1 day's work = 1 .
25 15

Therefore B's 1 day's work = ( 1 - 1 ) = 4 = 2 .
15 25 150 75

So, B alone would do the work in 75 = 37 1 days.
2 2

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10.

If a x - 1 = b x - 3 , then the value of x is:
b a

A.
1
2
B.
1
C.
2
D.
7
2

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Given a x - 1 = b x - 3
b a

a x - 1 = a -(x - 3)  =  a (3 - x)
b b b

x - 1 = 3 - x

2x = 4

x = 2.

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11.

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:

A.
5 1 %
5
B.
9 1 %
11
C.
8 1 %
8
D.
6 1 %
6

Your Answer: Option (Not Answered)

Correct Answer: Option B

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

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12.

The present worth of a sum due sometime hence is Rs. 576 and the banker's gain is Rs. 16. The true discount is:

A.
Rs. 36
B.
Rs. 72
C.
Rs. 48
D.
Rs. 96

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

T.D. = P.W. x B.G. = 576 x 16 = 96.

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13.

January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?

A.
Monday
B.
Tuesday
C.
Wednesday
D.
Sunday

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

The year 2007 is an ordinary year. So, it has 1 odd day.

1st day of the year 2007 was Monday.

1st day of the year 2008 will be 1 day beyond Monday.

Hence, it will be Tuesday.

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14.

The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

A.
20
B.
23
C.
169
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let the numbers be x and y.

Then, xy = 120 and x2 + y2 = 289.

(x + y)2 = x2 + y2 + 2xy = 289 + (2 x 120) = 529

x + y = 529 = 23.

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15.

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

A.
4 years
B.
8 years
C.
10 years
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.

Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

5x = 20

x = 4.

Age of the youngest child = x = 4 years.

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16.

An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:

A.
300 kmph
B.
360 kmph
C.
600 kmph
D.
720 kmph

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Distance = (240 x 5) = 1200 km.

Speed = Distance/Time

Speed = 1200/(5/3) km/hr.     [We can write 1 hours as 5/3 hours]

Required speed = 1200 x 3 km/hr = 720 km/hr.
5

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Direction (for Q.No. 17):

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.
17.

What is the height of a circular cone?

I. 

The area of that cone is equal to the area of a rectangle whose length is 33 cm.

 II. 

The area of the base of that cone is 154 sq. cm.

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:

II gives the value of r.

But, in I, the breadth of rectangle is not given.

So, we cannot find the surface area of the cone.

Hence, the height of the cone cannot be determined.

Correct answer is (D).

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18.

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

A.
10
B.
13
C.
14
D.
15

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Let the required number of days be x.

Less persons, More days (Indirect Proportion)

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

Persons 30 : 39 :: 12 : x
Working hours/day 6 : 5

30 x 6 x x = 39 x 5 x 12

x = (39 x 5 x 12)
(30 x 6)

x = 13.

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19.

The diagonal of the floor of a rectangular closet is 7 feet. The shorter side of the closet is 4 feet. What is the area of the closet in square feet?

A.
5 1
4
B.
13 1
2
C.
27
D.
37

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Other side =
15 2 - 9 2
2 2
ft
=
225 - 81
4 4
ft
=
144
4
ft
= 6 ft.

Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.

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20.

Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in:

A.
6 hours
B.
6 2 hours
3
C.
7 hours
D.
7 1 hours
2

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

(A + B)'s 1 hour's work = 1 + 1 = 9 = 3 .
12 15 60 20

(A + C)'s hour's work = 1 + 1 = 8 = 2 .
12 20 60 15

Part filled in 2 hrs = 3 + 2 = 17 .
20 15 60

Part filled in 6 hrs = 3 x 17 = 17 .
60 20

Remaining part = 1 - 17 = 3 .
20 20

Now, it is the turn of A and B and 3 part is filled by A and B in 1 hour.
20

Total time taken to fill the tank = (6 + 1) hrs = 7 hrs.

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