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SSC CPO Mock Test (Quant Apt) 3 - SSC MCQ


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30 Questions MCQ Test - SSC CPO Mock Test (Quant Apt) 3

SSC CPO Mock Test (Quant Apt) 3 for SSC 2024 is part of SSC preparation. The SSC CPO Mock Test (Quant Apt) 3 questions and answers have been prepared according to the SSC exam syllabus.The SSC CPO Mock Test (Quant Apt) 3 MCQs are made for SSC 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for SSC CPO Mock Test (Quant Apt) 3 below.
Solutions of SSC CPO Mock Test (Quant Apt) 3 questions in English are available as part of our course for SSC & SSC CPO Mock Test (Quant Apt) 3 solutions in Hindi for SSC course. Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free. Attempt SSC CPO Mock Test (Quant Apt) 3 | 50 questions in 30 minutes | Mock test for SSC preparation | Free important questions MCQ to study for SSC Exam | Download free PDF with solutions
SSC CPO Mock Test (Quant Apt) 3 - Question 1
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Harsha is 40 yrs old and Rith is 60 yrs old. How many yrs ago was the ratio of their ages 3:5?

SSC CPO Mock Test (Quant Apt) 3 - Question 2
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Which one of the following is the solution of the system of linear equations (5/x)-(4/y)=3 and (9/x)-(8/y)=7?

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SSC CPO Mock Test (Quant Apt) 3 - Question 3
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Factors of(2x-3y)³+(3y-5z)³+(5z-2x)³ are

SSC CPO Mock Test (Quant Apt) 3 - Question 4
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If 2x+3y=26; 2y+z=19 and x+2z=29,what is the value of of x+y+z?
Detailed Solution for SSC CPO Mock Test (Quant Apt) 3 - Question 4
2x + 3y = 26 .....(i)
2y + z = 19 .....(ii)
x + 2z = 29 .....(iii)
from (ii) and (iii)
x + 2(19 - 2y) = 29
x + 38 - 4y = 29
x - 4y = - 9 .....(iv)
from (i), (ii) and (iv) we get
y = 4, x = 7, z = 11
∴ x + y + z = 4 + 7 + 11 = 22
SSC CPO Mock Test (Quant Apt) 3 - Question 5
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If α, β, γ and Δ are the roots of the polynominal equation (x2 - 3x + 4)(x2 + 2x + 5)= 0, then the quardratic equation whose roots are α + β + γ + Δ and αβγΔ is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 3 - Question 5

α + β = 3, α.β = 4
γ + Δ = -2, γ.Δ = 5
α + β + γ + Δ = 3 - 2 = 1
α.β.γ.Δ = 4 × 5 = 20
Required quadratic equation is
x2 - (α + β + γ + Δ)x + (αβγΔ) = 0
x2 - x + 20 = 0

SSC CPO Mock Test (Quant Apt) 3 - Question 6
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Diameter of two circular plates are respectively 18cm and 80 cm. The diameter of the plate which has an area equal to the combined area of two given plates is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 3 - Question 6

Combined area of two plates = π (9)2 + π (40)2
= π (81 + 1600)
= 1681 π cm2.
Let R be the Radius of plate, whose area is combined area of two plates.
Area of plate = πR2 = 1681 π
⇒ R2 = 1681
⇒ R = 41 cm.
Diameter = 2 x 41 = 82 cm

SSC CPO Mock Test (Quant Apt) 3 - Question 7
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The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?
Detailed Solution for SSC CPO Mock Test (Quant Apt) 3 - Question 7

Let the cricket player makes x runs in his next innings
∴ 32 × 10 + x = 11 × 36
∴ x = 396 - 320 = 76

SSC CPO Mock Test (Quant Apt) 3 - Question 8
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OABC is a rhombus whose vertices A, B and C lie on a circle with centre at O. If radius of circle is 10cm. The area of the rhombus
Detailed Solution for SSC CPO Mock Test (Quant Apt) 3 - Question 8

If A, B, and C lie on the circle, O is the center of the circle, and the radius is 10 cm, then OA, OB, OC, AB, and BC must all measure 10 cm because OA, OB, and OC are all radii, and AB and BC are congruent because of congruent sides of a rhombus.
Hence, the area of the rhombus is twice the area of an equilateral triangle with sides that measure 10 cm.

SSC CPO Mock Test (Quant Apt) 3 - Question 9
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Diagonals of a rhombus are in the ratio 3:4 and its area is 2400 cm2. Side of the rhombus is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 3 - Question 9

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 × a2
or (60)2 + (80)2 = 4 × a2
or 3600 + 6400 = 4 × a2
or 10000 = 4a2
or 2500 = a2
or a = 50 cm

SSC CPO Mock Test (Quant Apt) 3 - Question 10
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The average of 5 numbers is 27. If one number is excluded,the average becomes 25. The excluded number is
SSC CPO Mock Test (Quant Apt) 3 - Question 11
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The equation x² + Kxy + y² - 5x - 7y + 6 = 0 represents a pair of st. lines, then K is
SSC CPO Mock Test (Quant Apt) 3 - Question 12
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Find Compound Interest on Rs 15625 for 9 months at 16% p.a compounded quarterly.
Detailed Solution for SSC CPO Mock Test (Quant Apt) 3 - Question 12

SSC CPO Mock Test (Quant Apt) 3 - Question 13
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A shopkeeper marks his goods 20% above the cost price but allows 30% discount for cash. His net loss is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 3 - Question 13

Let C.P. of goods = Rs. 100
∴ Marked price = 100 + 20
= Rs 120
∴ Selling price after allowing 30% discount for cash

SSC CPO Mock Test (Quant Apt) 3 - Question 14
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Which one of the following is the least?
SSC CPO Mock Test (Quant Apt) 3 - Question 15
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Simplify : [(0.2×0.2+0.2×0.02)/(0.044)]
SSC CPO Mock Test (Quant Apt) 3 - Question 16
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In ∆ABC, ∠B = 90�, AB = 6 cm and BC = 8 cm. Its circum radius is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 3 - Question 16
Using Pythogorous theorem AC = 10 cm. Circum radius of a right triangle is half the hypotenuse. Hence r = 5 cm.
SSC CPO Mock Test (Quant Apt) 3 - Question 17
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If the magnitude of angle θ is three times that of the angle φ in the given figure, then ∠φ is equal to
SSC CPO Mock Test (Quant Apt) 3 - Question 18
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If AB and CD are two parallel straight lines and EF is a transversal which cuts AB at P and CD at Q, then the angles APQ and PQD are called :
SSC CPO Mock Test (Quant Apt) 3 - Question 19
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Lines l and m are parallel. If p and q are two distinct lines such that p ⊥ l and q ⊥ m, then
Detailed Solution for SSC CPO Mock Test (Quant Apt) 3 - Question 19
If two distinct lines are perpendicular to two parallel lines then they are parallel to each other.
SSC CPO Mock Test (Quant Apt) 3 - Question 20
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The least number, which when divided by 4,5 and 6 leaves the remainder 1,2 and 3 respectively, is
SSC CPO Mock Test (Quant Apt) 3 - Question 21
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How much is the greatest number of three digits less than the smallest number of three digits?
SSC CPO Mock Test (Quant Apt) 3 - Question 22
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The angle of elevation of the top of  an incomplete tower at a point 40 m from its base is 45°,If the elevation of the completed tower at the same point is 60°,then the height through which the tower has been raised is
SSC CPO Mock Test (Quant Apt) 3 - Question 23
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When the price of a product was increased by 15% the number sold was decreased by 20%. What was the net effect?
SSC CPO Mock Test (Quant Apt) 3 - Question 24
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Rajeev buys goods worth Rs.6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @10%. Find the amount he will have to pay for the goods.
SSC CPO Mock Test (Quant Apt) 3 - Question 25
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2 pipes A and B can fill a cistern in 20 minutes and 25 minutes respectively, Both are opened together but at the end of 5 minutes B is turned off. Total time taken to fill the cisten is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 3 - Question 25

SSC CPO Mock Test (Quant Apt) 3 - Question 26
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A merchant bought 10 items for Rs 200 each. He sold 5 of them at a profit of 10%. The trader wants to have on overall profit of 15%. The price at which he should sell each of the remaining items is
SSC CPO Mock Test (Quant Apt) 3 - Question 27
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A man sells two articles at Rs 99 each. On one he gains 10% and on other he loses 10%. What is his gain or loss percent on the whole transaction?
SSC CPO Mock Test (Quant Apt) 3 - Question 28
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In ΔABC , if a , b , c , are in A.P . , then tan A/2 tan C/2 =
SSC CPO Mock Test (Quant Apt) 3 - Question 29
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A sum of money is to be divided among P,Q and R in the ratio of 3:7:13 respectively. If the total share of P and Q together is Rs 20,000, what is the difference between the shares of Q and R?
SSC CPO Mock Test (Quant Apt) 3 - Question 30
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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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