The value of 152 sin 30 o + 2 cos 2 45 o + 3 sin 30 o + 4 cos 2 45 o + ⋯ ⋯ + 17 sin 30 o + 18 cos 2 45 o is:

an integer but not a perfect square

a rational number but not an integer

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One man, $3$ women and $4$ boys can do a piece of work in $96$ hours, $2$ men and $8$ boys can do it in $80$ hours, $2$ men and $3$ women can do it in $120$ hours. $5$ men and $12$ boys can do it in :-.

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 64

A fruit seller buys some apples at the rate of

4

for

R s . 10

and an equal number more at

5

for

R s . 10

. He sells the whole lot at

9

for

R s . 20

. What is his loss or gain percent?

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 65

A man rides at the rate of

18 k m / h r

, but stops for

6 mins

to change horses at the end of every

7 t h k m

. The time that he will take to cover a distance of

90 k m s

is :-.

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 66

A square

A B C D

is inscribed in a circle of unit radius. The semi circles are described on each side as a diameter. The area of the region bounded by the four semicircles and the circle is:

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 67

The interest on a certain sum of money is

R s . 22

and the true discount on the same sum for the same time and at the same rate is

R s . 20

. Find the sum.

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 68

A reduction in the price of apples enables a person to purchase

3

apples for

R s . 1

instead of

R s . 1.25

. What is the

%

of reduction in price?.

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 69

The ratio of monthly incomes of A and B is

6 : 5

and their monthly expenditures are in the ratio

4 : 3

. If each of them saves

R s . 400

per month, find the sum of their monthly incomes.

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 70

The value of

152 (\sin 30^{o} + 2 \cos^{2} 45^{o} + 3 \sin 30^{o} + 4 \cos^{2} 45^{o} + \dots \dots + 17 \sin 30^{o} + 18 \cos^{2} 45^{o})

is:

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20 Practice Sets ESIC Upper Division Clerk Preliminary Exam>Chapter 1 - Practice Set>Quantitative Aptitude>Q 71

A B C

is a right-angled triangle,

B

being the right angle. Mid-points of

B C

and

A C

are respectively

B'

and

A'

. The ratio of the area of the quadrilateral

A A' B B'

to the area of the triangles

A B C

is:

One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men and 3 women can do it in 120 hours. 5 men and 12 boys can do it in :-.

Important Questions on Practice Set

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One man, $3$ women and $4$ boys can do a piece of work in $96$ hours, $2$ men and $8$ boys can do it in $80$ hours, $2$ men and $3$ women can do it in $120$ hours. $5$ men and $12$ boys can do it in :-.