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SSC CPO & Constable Mock Test (Quant Apt) 4 Free Online Test 2026


Full Mock Test & Solutions: SSC CPO Mock Test (Quant Apt) 4 (50 Questions)

You can boost your SSC CPO 2026 exam preparation with this SSC CPO Mock Test (Quant Apt) 4 (available with detailed solutions).. This mock test has been designed with the analysis of important topics, recent trends of the exam, and previous year questions of the last 3-years. All the questions have been designed to mirror the official pattern of SSC CPO 2026 exam, helping you build speed, accuracy as per the actual exam.

Mock Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Total Questions: 50
  • - Analysis: Detailed Solutions & Performance Insights

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SSC CPO Mock Test (Quant Apt) 4 - Question 1

Ram is 30 yrs younger than his uncle today. Five yrs ago, Ram was 14th as old as his uncle.How old will Ram's uncle be 5 yrs from today?

Detailed Solution: Question 1

Let at present the ages of uncle and Ram are x and y years respectively. Then
x - y = 30 .....(1)
y - 5 = 14 (x - 5)
⇒ 4y - 20 = x - 5
⇒ x - 4y = -15 .....(2)
On solving, we get
y = 15 and x = 45
∴ Age of uncle after 5 years
= 45 + 5 = 50 years

SSC CPO Mock Test (Quant Apt) 4 - Question 2

A man purchased 47 stamps of 20-paise and 15-paise.The total amount he spent was Rs 8.80.The number of 20-paise and 15-paise stamps purchased by him

SSC CPO Mock Test (Quant Apt) 4 - Question 3

If α and β are the two roots of the equation 2x2-7x-3=0, then find the value of (α+2)(β+2)

SSC CPO Mock Test (Quant Apt) 4 - Question 4

The solution of 2x+3y=2 and 3x+2y=2 can be represented by a point in the coordinate planes in

SSC CPO Mock Test (Quant Apt) 4 - Question 5

If the quality is satisfied by x, then the value of x will be

Detailed Solution: Question 5

SSC CPO Mock Test (Quant Apt) 4 - Question 6

A bicycle wheel makes 500 revolutions in moving 1.1 km. The diameter of the wheel is

Detailed Solution: Question 6

SSC CPO Mock Test (Quant Apt) 4 - Question 7

Let PQR be a right angled isosceles triangle right angled at P (2, 1). If the eqaution of the line QR is 2x + y = 3, then the equation representing the pair of lines PQ and PR is

SSC CPO Mock Test (Quant Apt) 4 - Question 8

Diagonals of a rhombus are in the ratio 3:4 and its area is 2400 cm2. Side of the rhombus is

Detailed Solution: Question 8

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

SSC CPO Mock Test (Quant Apt) 4 - Question 9

A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. His new average is:

SSC CPO Mock Test (Quant Apt) 4 - Question 10

The mean of 30 values was 150. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean.

Detailed Solution: Question 10

SSC CPO Mock Test (Quant Apt) 4 - Question 11

Peter invested an amount of Rs. 12,000 at the rate of 10 p.c.p.a. simple interest and another amount at the rate of 20 p.c.p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14 p.c.p.a. Find the total amount invested.

SSC CPO Mock Test (Quant Apt) 4 - Question 12

Chord AB of a circle radius 28 cm subtends an angle of 90º at the centre of the cirlce. The area of the major segment is .... (use π = 3.14)

Detailed Solution: Question 12

Radius of circle r = 28 cm
π = 3.14
θ = 90º
where θ is the angle subtended at the centre of the circle

= 615.44 - 392
= 223.44
Area of circle = πr2 = 3.14 x 28 x 28 = 2461.76
Area of major segment = Area of circle - Area of minor segment
= 2461.76 - 223.44 = 2238.32 cm2

SSC CPO Mock Test (Quant Apt) 4 - Question 13

If cube root of 175616 is 56, then the value of

SSC CPO Mock Test (Quant Apt) 4 - Question 14

A publisher supplies books to a bookseller at 20% discount on the list price of Rs. 1574.80. If the book seller sells books at list price and if his expenses for frieght etc. are Rs. 45.40, determine his profit.

Detailed Solution: Question 14


= 1259.84 + 45.40 = 1305.24
Profit = 1574.80 - 1305.24 = 269.56

SSC CPO Mock Test (Quant Apt) 4 - Question 15

If ABCD is a cyclic quadrilateral in which ∠DAC=27°, ∠DBA=50° and ∠ADB=33°, then ∠CAB is equal to :

SSC CPO Mock Test (Quant Apt) 4 - Question 16

If P, Q, R and S are the mid-points of sides AB, BC, CD and DA respectively of quadrilateral. ABCD, E, F, G and H are the mid-points of sides PQ, OR, RS and SP of quadrilateral PQRS and area of ∆HGF = 9 sq. units then area of quaqdrilateral ABCD is

Detailed Solution: Question 16

SSC CPO Mock Test (Quant Apt) 4 - Question 17

A boy read 3/8th of the book on one day and 4/5th of the remainder on another day. If there were 30 pages unread, then how many pages did the book contain?

Detailed Solution: Question 17

SSC CPO Mock Test (Quant Apt) 4 - Question 18

Circles, C(O,5 cm) and C(O,3cm) are two concentric circles. PQ is a chord of the larger circle and is a tangent to the smaller circle at R. Then the measure of ∠ORP is

SSC CPO Mock Test (Quant Apt) 4 - Question 19

Angles of a triangle have measures (x + 40)°, (2x + 20)° and (3x)°. The triangle is

Detailed Solution: Question 19

(x + 40) + (2x + 20) + (3x) = 180
⇒⇒ x = 20
Hence each angle is 60° or the triangles are equilateral.

SSC CPO Mock Test (Quant Apt) 4 - Question 20

The least number ,which when increased by 1,is exactly divisible by 12,18,24,32,40,is

SSC CPO Mock Test (Quant Apt) 4 - Question 21

The qutab Minar casts a shadow 150 m long at the same time when the Vikas Minar casts a shadow of 120 m long on the ground.If the height of the Vikas Minar is 80 m,find the height of the Qutab Minar.

SSC CPO Mock Test (Quant Apt) 4 - Question 22

If the sum of two numbers is 3 and the sum of their squares is 12,then their product is equal to

SSC CPO Mock Test (Quant Apt) 4 - Question 23

If two-seventh of one-fifth of number is 25, what is 12% of that number?

SSC CPO Mock Test (Quant Apt) 4 - Question 24

16% increase in the train fare resulted in a 6% decrease in the passenger traffic.Still the daily collection of a station increased by Rs 5,424. Find the daily collection of the station before the increase in the fare.

SSC CPO Mock Test (Quant Apt) 4 - Question 25

Pipes A and B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill the cistern, then the times in which A and B will fill the cistern separately will be respectively

SSC CPO Mock Test (Quant Apt) 4 - Question 26

If the side of a triangle are 13, 14, 15, then the radius of the incircle is

SSC CPO Mock Test (Quant Apt) 4 - Question 27

A house and a shop were sold for Rs 1 lakh each. In this transaction,the house sale resulted into 20% loss whereas the shop sale into 20% profit. The entire transaction resulted in

SSC CPO Mock Test (Quant Apt) 4 - Question 28

A man purchased a box full of pencils at the rate of 7 for Rs.9 and sold all of them at the rate of 8 for Rs.11. In this transaction, he gained Rs.10. How many pencils did the box contain?

SSC CPO Mock Test (Quant Apt) 4 - Question 29

If a:b:c=2:3:4, then 1/a : 1/b : 1/c is equal to

SSC CPO Mock Test (Quant Apt) 4 - Question 30

Two numbers are in the ratio of 5:7. On diminishing each of them by 40, they become in the ratio 17:27. The difference of the numbers is

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