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 the area of rectangular field?

I.

The perimeter of the field is 110 metres.

II.

The length is 5 metres more than the width.

III.

The ratio between length and width is 6 : 5 respectively.

A.

I and II only

B.

Any two of the three

C.

All I, II and III

D.

I, and either II or III only

E.

None of these

Answer: Option B

Explanation:

I. 2(l + b) = 110 l + b = 55.

II.l = (b + 5) l - b = 5.

III.

l

=

6

5l - 6b = 0.

b

5

These are three equations in l and b. We may solve them pairwise.

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m^{3}, then the rise in the water level in the tank will be:

A.

20 cm

B.

25 cm

C.

35 cm

D.

50 cm

Answer: Option B

Explanation:

Total volume of water displaced = (4 x 50) m^{3} = 200 m^{3}.

A boat covers a certain distance downstream in 1 hour, while it comes back in 1 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

A.

12 kmph

B.

13 kmph

C.

14 kmph

D.

15 kmph

E.

None of these

Answer: Option D

Explanation:

Let the speed of the boat in still water be x kmph. Then,

A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

A.

Rs. 4991

B.

Rs. 5991

C.

Rs. 6001

D.

Rs. 6991

Answer: Option A

Explanation:

Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.

Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

A.

36

B.

45

C.

48

D.

49

Answer: Option C

Explanation:

Relative speed = (60+ 90) km/hr

=

150 x

5

m/sec

18

=

125

m/sec.

3

Distance covered = (1.10 + 0.9) km = 2 km = 2000 m.

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

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.

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.

Answer: Option D

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.

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.

16.

In a cricket team, the average age of eleven players in 28 years. What is the age of the captain?

I.

The captain is eleven years older than the youngest player.

II.

The average age of 10 players, other than the captain is 27.3 years.

III.

Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively.

A.

Any two of the three

B.

All I, II and III

C.

II only or I and III only

D.

II and III only

E.

None of these

Answer: Option C

Explanation:

Total age of 11 players = (28 x 11) years = 308 years.

I. C = Y + 11 C - Y = 11 .... (i)

II. Total age of 10 players (excluding captain) = (27.3 x 10) years = 273 years.

Age of captain = (308 - 273) years = 35 years.

Thus, C = 35. .... (ii)

From (i) and (ii), we get Y = 24

III. Total age of 9 players = [ (25 x 3) + (28 x 3) + (30 x 3)] years = 249 years.