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This mock test of SSC CPO Mock Test (Quant Apt) 7 for SSC helps you for every SSC entrance exam.
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QUESTION: 1

Solution:

QUESTION: 2

Solution:

QUESTION: 3

Solution:
Let the number of cows be x and the numer of hens be y.

Then, 4x + 2y = 2(x + y) + 14

â‡’ 4x + 2y = 2x + 2y + 14

â‡’ 2x = 14

â‡’ x = 7

Then, 4x + 2y = 2(x + y) + 14

â‡’ 4x + 2y = 2x + 2y + 14

â‡’ 2x = 14

â‡’ x = 7

QUESTION: 4

Visitors to a show were charged Rs 15 each on the first day;Rs 7.50 on the second ;Rs 2.50 on the third and total attendence of three days were in the ratio 2:5:13 respectively. Find the average per person for the whole show.

Solution:

QUESTION: 5

then L^{2} is equal to

Solution:

QUESTION: 6

The value of k for which the equation 9x+4y=9 and 7x+ky=5 have no solution is

Solution:

The given system of equation will have no solution

QUESTION: 7

Diagonals of a rhombus are in the ratio 3:4 and its area is 2400 cm^{2}. Side of the rhombus is

Solution:

Let the diagonals of a rhombus are 3K and 4K. Then

Area of rhombus = 1/2 x product of diagonals

2400 = 1/2 x 3K x 4K

or 400 = K^{2}

or K = 200

∴ The Diagonals are 60 cm and 80 cm

we know that, if a be side of the rhombus and AC and BD be its diagonals then

(AC)^{2} + (BD)^{2} = 4 x a^{2}

or (60)^{2} + (80)^{2} = 4 x a^{2}

or 3600 + 6400 = 4 x a^{2}

or 10000 = 4a^{2}

or 2500 = a^{2}

or a = 50 cm

QUESTION: 8

The wheel of a scooter has a diameter of 70 cm. The number revolution it must make to maintain a speed of 33 km/hour is

Solution:

QUESTION: 9

The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:

Solution:

QUESTION: 10

Three points (-2,2), (8,-2) and (-4,-3) are vertices of a

Solution:

QUESTION: 11

The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is :

Solution:

QUESTION: 12

Sum of digits of the smallest number by which 1440 be multiplied so that it becomes a perfect cube,is

Solution:

QUESTION: 13

A square is inscribed in a circle of radius 10 units. The area of the circle not included in the square......(use π = 3.14)

Solution:

Let the side of square be x unit.

sider the right triangle ABD

have x^{2} + x^{2} = (10 + 10)^{2}

⇒ 2x^{2} = 400

x^{2} = 200

Area of square = 200 sq units

One of circle = πr^{2} = 22/7 x (10)^{2} = 314 sq units

One of shaded region not included in square

= 314 sq unit - 200 sq unit

= 114 sq unit.

QUESTION: 14

A shop owner gives a discount of 20% on silk sarees. To attract more customer, he offers an additional discount of 10%. If a customer buys a silk saree with printed price tag of Rs 1000, then he or she saves

Solution:

QUESTION: 15

If (144/0.144)=(14.4/x), then the value of x is :

Solution:

QUESTION: 16

Lines l and m are parallel. If p and q are two distinct lines such that p $\xe2\u0160\yen $ l and q $\xe2\u0160\yen $ m, then

Solution:
If two distinct lines are perpendicular to two parallel lines then they are parallel to each other.

QUESTION: 17

The locus of a point equidistant from two parallel lines is :

Solution:

QUESTION: 18

Two lines p and q are parallel. Points A, B and C lie on p aned points D and E lie on q. If AC = 2 AB then area âˆ†ACD : area âˆ†ABE is

Solution:
Heights of the both the triangle is same as distance between a pair of parallel lines is constant. However base of âˆ†ACD is twice that of âˆ†ABE.

QUESTION: 19

Consider a point which moves such that its distances from two given points A and B are equal. Then the locus of the point P is :

Solution:

QUESTION: 20

LCM of two prime numbers x and y (x>y) is 161. The value of 3y-x is

Solution:

QUESTION: 21

A flag-staff is fixed at the top of a tower.The angles of elevation of the top and the bottom of this flag-staff at a point distant 'a' metres from the foot of the tower are Î± and Î² respectively.The height of the flag-staff (in metres) is

Solution:

QUESTION: 22

Which of the following can be the exact multiple of 6?

Solution:

QUESTION: 23

If 45% of a number is 72. What is 60% of that number?

Solution:

QUESTION: 24

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are

Solution:

QUESTION: 25

Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr, 56 litres/hr and 48 litres/hr respectively. Taps A and B fill the tank while tap C empties the tank. If all the three-taps are opened simultaneously, the tank gets completely filled up in 16 hrs. What is the capacity of the tank?

Solution:

Capacity of the tank = (42 + 56 - 48) x 16 = 800 litres

QUESTION: 26

A grocer mixes 26 kg of tea which costs Rs 20 a kg with 30 kg of tea which costs Rs 36 a kg and sells the mixture at Rs 30 a kg. His profit per cent is

Solution:

QUESTION: 27

A man bought a car for Rs 60000 and spent 10% of the cost of the car for purchase of new tyres. At what price should he sell the car to make a gain of 15%?

Solution:

QUESTION: 28

In ΔABC,if C = 60° then

Solution:

QUESTION: 29

The monthly salaries of 2 persons are in the ratio 3:5. If each of them receives an increment of Rs 20 in salary,the ratio is altered to 13:21. Their initial salaries are

Solution:

QUESTION: 30

A sum of Rs. 3910 is to be divided among A, B and C in the ratio Share of B is

Solution:

QUESTION: 31

If a, b, c of a triangle are in A.P., then cot C/2 =

Solution:

QUESTION: 32

A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6.25% p.a. for 2 years. Find his gain in the transaction per year.

Solution:

QUESTION: 33

1008 divided by which single digit number gives a perfect square?

Solution:

QUESTION: 34

Trains, A and B are travelling on the same route heading towards the same destination. Train B has already covered a distance of 220 km before train A started. The two trains meet each other 11 hours after the start of train A. Had the trains been travelling towards each other (from a distance of 220 km), they would have met after one hour. What is the speed of train B in km/hr?

Solution:

Let the speed of train A = x

and the speed of train B = y

⇒ Relative speed (same direction) = (x + y) kmph

and relative speed (opp. direction) = (x - y) kmph

⇒ 1(x - y) = 220] × 11

11(x + y) = 220

⇒ 11x - 11y = 2420 .....(1)

11x + 11y = 220 .....(2)

Solving equation (1) and (2) we get

22x = 2640

⇒ x = 120 kmph

⇒ y = 220 - 120 = 100 kmph

QUESTION: 35

If 15 men take 21 days of 8 working hrs each to do a piece of work, then the number of days of 6 working hrs each, that 21 women would take if 3 women do as much as 2 men, is

Solution:

QUESTION: 36

If tanÎ¸=-4/3, then sinÎ¸ is

Solution:

QUESTION: 37

The value of tan 81°-tan 63°-tan 27°+tan 9° is

Solution:

QUESTION: 38

The length of the cloth 5m wide required to make a conical tent, the radius of whose base is 7m and height is 24 m is ....

Solution:

QUESTION: 39

A cubical vessel can hold 1331l of water. The length of side of the vessel in m is

Solution:

QUESTION: 40

sec 8A-1/sec4A-1

Solution:

QUESTION: 41

If the volumes of two cubes are in the ratio 27:1, the ratio of their edges is :

Solution:

QUESTION: 42

**Study the following graph carefully and answer the questions given below it.**

**Q. **In which of the following years was the difference between the income and the expenditure the maximum?

Solution:

Difference between the income and the expenditure in 1985 is 25 - 20 = 5

Difference between the income and the expenditurein 1986 is 30 - 35 = -5

Difference between the income and the expenditure in 1987 is 20 - 25 = -5

Difference between the income and the expenditure in 1988 is 35 - 28 = 7

Difference between the income and the expenditure in 1989 is 25 - 20 = 5

Difference between the income and the expenditure in 1990 is 18 - 10 = 8

Difference between the income and the expenditure in 1991 is 34 - 20 = 14 = maximum

QUESTION: 43

**Study the following graph carefully and answer the questions given below it.**

**Q. **The income in 1987 was equal to the expenditure in which of the following years?

Solution:

QUESTION: 44

**Study the following graph carefully and answer the questions given below it.**

**Q. **What was the approximate percentage drop in expenditure from 1988 to 1989?

Solution:

QUESTION: 45

**Study the following graph carefully and answer the questions given below it.**

**Q. **What was the percentage increase in income from 1987 to 1988?

Solution:

QUESTION: 46

**Study the following graphs carefully to answer the questions given below it.**

**Q. **What is the amount (in Rs.) spent by Company 'A' on Electricity ?

Solution:

Amount spent by company 'A' on Electricity = 35750000 × 26/100 = 9295000

QUESTION: 47

**Study the following graphs carefully to answer the questions given below it.**

**Q. **How much (in Rs.) have both companies together spent on raw material ?

Solution:

QUESTION: 48

**Study the following graphs carefully to answer the questions given below it.**

**Q. **What is the ratio of amount spent by Company A on Advertisement and Electricity respectively ?

Solution:

QUESTION: 49

**Study the following graphs carefully to answer the questions given below it.**

**Q. **On which item is there least expenditure ?(irrespective of Company A or B)

Solution:

QUESTION: 50

**Study the following graphs carefully to answer the questions given below it.**

**Q. **What is the total amount (in Rs.) spent by Company 'B' on Raw Material, Maintainance and salary together ?

Solution:

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