Instruction:

Total number of questions :75 .

Time alloted :80 minutes.

Each question carry 3 mark, -1 For Each Wrong Answer.

1.
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

Answer: Option A

Explanation:

Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)

= H.C.F. of 48, 92 and 140 = 4.

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2.
Which of the following fraction is the largest ?

Answer: Option A

Explanation:

L.C.M. of 8, 16, 40 and 80 = 80.

7
=
70
;
13
=
65
;
31
=
62
8
80
16
80
40
80

Since,
70
>
65
>
63
>
62
, so
7
>
13
>
63
>
31
80
80
80
80
8
16
80
40

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3.

Answer: Option C

Explanation:

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

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4.
The least perfect square, which is divisible by each of 21, 36 and 66 is:

Answer: Option A

Explanation:

L.C.M. of 21, 36, 66 = 2772.

Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11

To make it a perfect square, it must be multiplied by 7 x 11.

So, required number = 2^{2} x 3^{2} x 7^{2} x 11^{2} = 213444

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5.

If x =
3 + 1
and y =
3 - 1
, then the value of (x ^{2} + y ^{2} ) is:
3 - 1
3 + 1

Answer: Option C

Explanation:

x =
(3 + 1)
x
(3 + 1)
=
(3 + 1)^{2}
=
3 + 1 + 23
= 2 + 3 .
(3 - 1)
(3 + 1)
(3 - 1)
2

y =
(3 - 1)
x
(3 - 1)
=
(3 - 1)^{2}
=
3 + 1 - 23
= 2 - 3 .
(3 + 1)
(3 - 1)
(3 - 1)
2

x ^{2} + y ^{2} = (2 + 3 )^{2} + (2 - 3 )^{2}

= 2(4 + 3)

= 14

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Direction (for Q.No. 6):

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.

6.

What is Arun's present age?

I.

Five years ago, Arun's age was double that of his son's age at that time.

II.

Present ages of Arun and his son are in the ratio of 11 : 6 respectively.

III.

Five years hence, the respective ratio of Arun's age and his son's age will become 12 : 7.

Answer: Option D

Explanation:

II. Let the present ages of Arun and his son be 11x and 6x years respectively.

I. 5 years ago, Arun's age = 2 x His son's age.

III. 5 years hence,
Arun's Age
=
12
Son's age
7

Clearly, any two of the above will give Arun's present age.

Correct answer is (D).

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7.
If A = x % of y and B = y % of x , then which of the following is true?

Answer: Option E

Explanation:

x % of y =
x
x y
=
y
x x
= y % of x
100
100

A = B.

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8.
If 20% of a = b , then b % of 20 is the same as:

Answer: Option A

Explanation:

20% of a = b
20
a = b .
100

b % of 20 =
b
x 20
=
20
a x
1
x 20
=
4
a = 4% of a .
100
100
100
100

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9.
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?

Answer: Option D

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.

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10.
One pipe can fill a tank three times as fast as another pipe. If
together the two pipes can fill the tank in 36 minutes, then the slower
pipe alone will be able to fill the tank in:

Answer: Option C

Explanation:

Let the slower pipe alone fill the tank in x minutes.

Then, faster pipe will fill it in
x
minutes.
3

1
+
3
=
1
x
x
36

4
=
1
x
36

x = 144 min.

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11.
A motorboat, whose speed in 15 km/hr in still water goes 30 km
downstream and comes back in a total of 4 hours 30 minutes. The speed of
the stream (in km/hr) is:

Answer: Option B

Explanation:

Let the speed of the stream be x km/hr. Then,

Speed downstream = (15 + x ) km/hr,

Speed upstream = (15 - x ) km/hr.

30
+
30
= 4
1
(15 + x )
(15 - x )
2

900
=
9
225 - x ^{2}
2

9x ^{2} = 225

x ^{2} = 25

x = 5 km/hr.

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12.
A man took loan
from a bank at the rate of 12% p.a. simple interest. After 3 years he
had to pay Rs. 5400 interest only for the period. The principal amount
borrowed by him was:

Answer: Option C

Explanation:

Principal = Rs.
100 x 5400
= Rs. 15000.
12 x 3

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13.
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

Answer: Option C

Explanation:

Let the side of the square(ABCD) be x metres.

Then, AB + BC = 2x metres.

AC = 2 x = (1.41x ) m.

Saving on 2x metres = (0.59x ) m.

Saving % =
0.59x
x 100
%
= 30% (approx.)
2x

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14.
By investing in 16 % stock at 64, one earns Rs. 1500. The investment made is:

Answer: Option B

Explanation:

To earn Rs.
50
, investment = Rs. 64.
3

To earn Rs. 1500, investment = Rs.
64 x
3
x 1500
= Rs. 5760.
50

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15.
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:

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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Direction (for Q.No. 16): Find the odd man out.

16.
10, 25, 45, 54, 60, 75, 80

Direction (for Q.Nos. 17 - 19): Find out the wrong number in the given sequence of numbers.

17.
582, 605, 588, 611, 634, 617, 600

Answer: Option A

Explanation:

Alternatively 23 is added and 17 is subtracted from the terms. So, 634 is wrong.

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

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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19.
56, 72, 90, 110, 132, 150

Answer: Option D

Explanation:

The numbers are 7 x 8, 8 x 9, 9 x 10, 10 x 11, 11 x 12, 12 x 13.

So, 150 is wrong.

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Direction (for Q.No. 20): Insert the missing number.

20.
8, 24, 12, 36, 18, 54, (....)

Answer: Option A

Explanation:

Numbers are alternatively multiplied by 3 and divided by 2.

So, the next number = 54 ÷ 2 = 27.

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:
[TQ]
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:
[AQ]
Number of unanswered questions
:
[UQ]