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Instruction:

Total number of questions : 20.
Time alloted : 30 minutes.
Each question carry 1 mark, no negative marks.
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All the best :-).

The present worth of Rs. 2310 due 2 years hence, the rate of interest being 15% per annum, is:

Rs. 1750

Rs. 1680

Rs. 1840

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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[#]

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

1 : 3

2 : 3

3 : 4

4 : 5

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

By the rule of alligation:

Cost of 1 kg of 1^st kind Cost of 1 kg of 2^nd kind
720 p Mean Price
630 p 570 p
60 90

Required ratio = 60 : 90 = 2 : 3.

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[#]

1 + 1 = ?

1 + a^{(n - m)} 1 + a^{(m - n)}

a^{m + n}

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

1 + 1 =

1 + 1

1 + aⁿ

a^m

1 + a^m

aⁿ

1 + a^{(n - m)} 1 + a^{(m - n)}

= a^m + aⁿ

(a^m + aⁿ) (a^m + aⁿ)

= (a^m + aⁿ)

(a^m + aⁿ)

= 1.

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Direction (for Q.No. 4):

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.

If both the pipes are opened, how many hours will be taken to fill the tank?
I.
The capacity of the tank is 400 litres.
II.
The pipe A fills the tank in 4 hours.
III.
The pipe B fills the tank in 6 hours.

Only I and II

Only II and III

All I, II and III

Any two of the three

Even with all the three statements, answer cannot be given.

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

II. Part of the tank filled by A in 1 hour = 1

4

III. Part of the tank filled by B in 1 hour = 1

6

(A + B)'s 1 hour's work = 1 + 1 = 5

4 6 12

A and B will fill the tank in 12 hrs = 2 hrs 24 min.

5

So, II and III are needed.

Correct answer is (B).

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[#]

If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?

Rs.		xy
		d

Rs. (xd)

Rs. (yd)

Rs.		yd
		x

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Cost of x metres = Rs. d.

Cost of 1 metre = Rs. d

x

Cost of y metres = Rs. d . y = Rs. yd .

x x

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[#]

Which of the following has the most number of divisors?

101

176

182

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

99 = 1 x 3 x 3 x 11

101 = 1 x 101

176 = 1 x 2 x 2 x 2 x 2 x 11

182 = 1 x 2 x 7 x 13

So, divisors of 99 are 1, 3, 9, 11, 33, .99

Divisors of 101 are 1 and 101

Divisors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88 and 176

Divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182.

Hence, 176 has the most number of divisors.

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[#]

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

266

5040

11760

86400

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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[#]

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

Monday

Tuesday

Wednesday

Sunday

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

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

1^st day of the year 2007 was Monday.

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

Hence, it will be Tuesday.

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[#]

The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

80�

75�

60�

105�

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Angle traced by hour hand in 17 hrs = 360 x 17 � = 255.

2 12 2

Angle traced by min. hand in 30 min. = 360 x 30 � = 180.

60

Required angle = (255 - 180)� = 75�.

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Direction (for Q.No. 10):

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.

10.

What is the volume of a cube?
I.
The area of each face of the cube is 64 square metres.
II.
The length of one side of the cube is 8 metres.

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let each edge be a metres. Then,

I. a² = 64 a = 8 m Volume = (8 x 8 x 8) m³ = 512 m³.

Thus, I alone gives the answer.

II. a = 8 m Volume = (8 x 8 x 8) m³ = 512 m³.

Thus, II alone gives the answer.

Correct answer is (C).

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11.

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

8 : 9

17 : 18

21 : 22

Cannot be determined

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Originally, let the number of boys and girls in the college be 7x and 8x respectively.

Their increased number is (120% of 7x) and (110% of 8x).

120 x 7x and 110 x 8x

100 100

42x and 44x

5 5

The required ratio = 42x : 44x = 21 : 22.

5 5

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Direction (for Q.No. 12):

Find out the wrong number in the given sequence of numbers.

12.

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

4.5

18.5

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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13.

The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ?

2010

2011

2012

2013

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Suppose commodity X will cost 40 paise more than Y after z years.

Then, (4.20 + 0.40z) - (6.30 + 0.15z) = 0.40

0.25z = 0.40 + 2.10

z = 2.50 = 250 = 10.

0.25 25

X will cost 40 paise more than Y 10 years after 2001 i.e., 2011.

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14.

The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

P 1 + 20 n > 2P 6 n > 2.

100 5

Now, 6 x 6 x 6 x 6 > 2.

5 5 5 5

So, n = 4 years.

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15.

A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?

15 min

20 min

27.5 min

30 min

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Part filled by (A + B) in 1 minute = 1 + 1 = 1 .

60 40 24

Suppose the tank is filled in x minutes.

Then, x 1 + 1 = 1

2 24 40

x x 1 = 1

2 15

x = 30 min.

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16.

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?

10 min. 20 sec.

11 min. 45 sec.

12 min. 30 sec.

14 min. 40 sec.

Your Answer: Option (Not Answered)

Correct 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.

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Direction (for Q.No. 17):

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.

The towns A, B and C are on a straight line. Town C is between A and B. The distance from A to B is 100 km. How far is A from C?
I.
The distance from A to B is 25% more than the distance from C to B.
II.
The distance from A to C is of the distance C to B.

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

.__________.______________________________________.
A     x    C            (100 - x)                 B

Let AC = x km. Then, CB = (100 -x) km.

I. AB = 125% of CB

100 = 125 x (100 - x)

100

100 - x = 100 x 100 = 80

125

x = 20 km.

AC = 20 km.

Thus, I alone gives the answer.

II. AC = 1 CB

4

x = 1 (100 - x)

4

5x = 100

x = 20.

AC = 20 km.

Thus, II alone gives the answer.

Correct answer is (C).

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18.

If log_x 9 = - 1 , then x is equal to:

16 2

-	3
	4

256

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

log_x 9 = - 1

16 2

x^-1/2 = 9

16

1 = 9

x 16

x = 16

9

x = 16 2

9

x = 256

81

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19.

One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?

Rs. 30,000

Rs. 50,000

Rs. 60,000

Rs. 90,000

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let savings in N.S.C and P.P.F. be Rs. x and Rs. (150000 - x) respectively. Then,

1 x = 1 (150000 - x)

3 2

x + x = 75000

3 2

5x = 75000

6

x = 75000 x 6 = 90000

5

Savings in Public Provident Fund = Rs. (150000 - 90000) = Rs. 60000

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Direction (for Q.No. 20):

Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.

20.

What is the percent profit earned by the shopkeeper on selling the articles in his shop?
I.
Labeled price of the articles sold was 130% of the cost price.
II.
Cost price of each article was Rs. 550.
III.
A discount of 10% on labeled price was offered.

Only I

Only II

I and III

All the three are required

Question cannot be answer even with information in all the three statements.

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

I. Let C.P. be Rs. x.

Then, M.P. = 130% of x = Rs. 13x .

10

III. S.P. = 90% of M.P.

Thus, I and III give, S.P. = Rs. 90 x 13x = Rs. 117x

100 10 100

Gain = Rs. 117x - x = Rs. 17x

100 100

Thus, from I and III, gain % can be obtained.

Clearly, II is redundant.

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