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# SSC CPO Mock Test (Quant Apt) 7

## 50 Questions MCQ Test SSC CPO & Constable - Mock Tests & Previous Year Papers | SSC CPO Mock Test (Quant Apt) 7

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This mock test of SSC CPO Mock Test (Quant Apt) 7 for SSC helps you for every SSC entrance exam. This contains 50 Multiple Choice Questions for SSC SSC CPO Mock Test (Quant Apt) 7 (mcq) to study with solutions a complete question bank. The solved questions answers in this SSC CPO Mock Test (Quant Apt) 7 quiz give you a good mix of easy questions and tough questions. SSC students definitely take this SSC CPO Mock Test (Quant Apt) 7 exercise for a better result in the exam. You can find other SSC CPO Mock Test (Quant Apt) 7 extra questions, long questions & short questions for SSC on EduRev as well by searching above.
QUESTION: 1

Solution:
QUESTION: 2

Solution:
QUESTION: 3

### In a group of cows and hens,the number of legs are 14 more than twice the number of heads. The number of cows in the group is

Solution: Let the number of cows be x and the numer of hens be y.
Then, 4x + 2y = 2(x + y) + 14
⇒ 4x + 2y = 2x + 2y + 14
⇒ 2x = 14
⇒ 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 L2 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 cm2. 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 = K2
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 a2
or (60)2 + (80)2 = 4 x a2
or 3600 + 6400 = 4 x a2
or 10000 = 4a2
or 2500 = a2
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 x2 + x2 = (10 + 10)2
⇒ 2x2 = 400
x2 = 200
Area of square = 200 sq units
One of circle = πr2 = 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 $\perp$ l and q $\perp$ 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 ∆ACD : area ∆ABE is
Solution: Heights of the both the triangle is same as distance between a pair of parallel lines is constant. However base of ∆ACD is twice that of ∆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 α and β 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 tanθ=-4/3, then sinθ 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: