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SSC CPO Mock Test (Quant Apt) 1 - SSC MCQ


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30 Questions MCQ Test - SSC CPO Mock Test (Quant Apt) 1

SSC CPO Mock Test (Quant Apt) 1 for SSC 2024 is part of SSC preparation. The SSC CPO Mock Test (Quant Apt) 1 questions and answers have been prepared according to the SSC exam syllabus.The SSC CPO Mock Test (Quant Apt) 1 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) 1 below.
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SSC CPO Mock Test (Quant Apt) 1 - Question 1
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An expression, which when divided by(x+1) gives (x2-x+1) as quotient and 3 as remainder, is equal to

SSC CPO Mock Test (Quant Apt) 1 - Question 2
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Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 2
Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.
∴ Required difference = (42 - 36) years = 6 years.
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SSC CPO Mock Test (Quant Apt) 1 - Question 3
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Find x and y x2 - xy = 4 and y2 - xy = -3

Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 3

x2 - xy = y .....(1)
y2 - xy = -3 .....(2)
Subtracting equation (2) from equation (1) we

Putting the value of x - y in equation (1) we get

Putting value of x in equation (2) we get,

putting value of y in equation (2) we get
y2 - xy = -3
⇒ 9 - 3x = -3
⇒-3x - -3 -9 = - 12
⇒ x = 4
So, (x, y) = (4, 3) or (-4, -3)

SSC CPO Mock Test (Quant Apt) 1 - Question 4
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Of the following quardratic equation, which is the one whose roots are 2 and -15?
Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 4
Sum of roots = - 13
Product of roots = - 30
∴ Equation = x2 - x (sum of roots) + product of roots = 0
x2 + 13x - 30 = 0
SSC CPO Mock Test (Quant Apt) 1 - Question 5
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Factorise a²-b²:
SSC CPO Mock Test (Quant Apt) 1 - Question 6
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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)
Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 6


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.

SSC CPO Mock Test (Quant Apt) 1 - Question 7
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Size of a tile is 9 inches by 9 inches. The number of tiles needed to cover a floor of 12 feet by 12 feet is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 7

Length of floor = 12 feet
Breath of floor = 12 feet
So Area of floor = 12 x 12 = 144 feet
Area of tile = 9/12 x 9/12 = 9/16 feet
So the number of tile = = 256 tiles

SSC CPO Mock Test (Quant Apt) 1 - Question 8
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An equilateral triangle has a side of 18 cm. Find the perimeter of triangle (in cm):
Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 8

perimeter of equilateral triangle = 3a =3x18 = 54

SSC CPO Mock Test (Quant Apt) 1 - Question 9
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In a certain yr, the average monthly income of a person is Rs 3400 and that for the first 8 months is Rs 3160 and for the last 5 months is Rs 4120. The income in the eight month of the year is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 9

x1 + x2 + ..... + x12 = 3400 x 12 .....(i)
x1 + ..... + x8 = 3160 x 8 .....(ii)
x8 + ..... + x12 = 4120 x 5 .....(iii)
from (i) and (ii)
x9 + ..... + x12 = 40800 - 25280 = 15520 .....(iv)
from (iii) and (iv) the income in the eight month of the year
x8 = 20600 - 15520 = Rs. 5080

SSC CPO Mock Test (Quant Apt) 1 - Question 10
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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.
SSC CPO Mock Test (Quant Apt) 1 - Question 11
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if the pair of lines ax² + 2hxy + by² + 2gx + 2fy + c = 0
SSC CPO Mock Test (Quant Apt) 1 - Question 12
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What will be the compound interest acquired on a sum of Rs 12000 for 3 years at the rate of 10% p.a?
SSC CPO Mock Test (Quant Apt) 1 - Question 13
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The cube root of 1.061208 is
SSC CPO Mock Test (Quant Apt) 1 - Question 14
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A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discounted price. If the customer pays Rs 680.40 as the price including the sales tax, what is the marked price of the item?
Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 14

SSC CPO Mock Test (Quant Apt) 1 - Question 15
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What is the difference between the niggest and the smallest fraction among 2/3, 3/4, 4/5 and 5/6?
SSC CPO Mock Test (Quant Apt) 1 - Question 16
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Determine the value of ∠AOE​
SSC CPO Mock Test (Quant Apt) 1 - Question 17
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A rectangular box is open on one side. The number of pairs of parallel planes of such a box is :
SSC CPO Mock Test (Quant Apt) 1 - Question 18
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AB and CD are two diameters of circles which are perpendicular to each other. The length of the chord BD is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 18

SSC CPO Mock Test (Quant Apt) 1 - Question 19
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Two numbers,both greater than 29, have HCF 29 and LCM 4147. The sum of the numbers is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 19

Product of numbers = 29 × 4147
Let the numbers be 29a and 29b
Then, 29a × 29b = (24 × 4147)
⇒ ab = 143
Now, co-primes with product 143 are (1, 143) and (11, 13)
So,the numbers are (29 × 1, 29 × 143) and (29 × 11, 29 × 13)
Since both numbers are greater than 29, the suitable pair is (29 × 11, 29 × 13)
i.e., (319, 377)
∴ Required sum = (319 + 377) = 696

SSC CPO Mock Test (Quant Apt) 1 - Question 20
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The correct statement out of the following is

Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 20
∠A = ∠F; ∠B = ∠E and ∠C = ∠D
Hence, ∆ABC ∼ ∆FED.
SSC CPO Mock Test (Quant Apt) 1 - Question 21
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A light house is 60 metres high with its base being at the sea level.If the angle of depression of a boat in the sea from the top of the light house is 15º,then the distance of the boat from the foot of the light house is equal to
SSC CPO Mock Test (Quant Apt) 1 - Question 22
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How many digits in all are required to write numbers from 1 to 50?
Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 22

1 to 9 = 9 (1 digit number)
10 to 50 = 41(2 digit number) = 41 x 2 = 82
total digits = 82 + 9 = 91

SSC CPO Mock Test (Quant Apt) 1 - Question 23
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Suresh's monthly income is 30% more than that of Vinod. Vinod's monthly income is 20% less than that of Vinay.If the difference between the monthly incomes of Suresh and Vinay is Rs 800.What is the monthly income of Vinod?
Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 23

Suresh = Vinod + 30% of Vinod
= 1.3 Vinod
Vinod = Vinay - 20% of Vinay
= 80% of Vinay
= 0.8 Vinay
∴ Suresh = 1.3 x 0.8 Vinay
= 1.04 Vinay
Now, Suresh - Vinay = 1.04 Vinay - Vinay
= 0.04 Vinay
= Rs 800 (given)
∴ Vinay = Rs 20000
∴ Vinod = 0.8 x 20000 = Rs 16000

SSC CPO Mock Test (Quant Apt) 1 - Question 24
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Two-fifths of 30% of one-fourth of a number is 15. What is 20% of that number?
SSC CPO Mock Test (Quant Apt) 1 - Question 25
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Two taps can fill a tank in 4 hours and 6 hours, respectively. A third tap can empty the tank in 3 hours. If all the three taps are opened how much time will it take to fill the tank?
SSC CPO Mock Test (Quant Apt) 1 - Question 26
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A man sold two watches for Rs. 240 each on one he gained 20% and on the other he lost 20%. The gain or loss percent in the transaction is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 26

S.P. of both the watches = Rs. 480
S.P. of each watch = Rs. 240
Gain = 20%

SSC CPO Mock Test (Quant Apt) 1 - Question 27
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If cost price is Rs 80,overhead is Rs 20 and selling price is Rs 120,then the profit percent is
SSC CPO Mock Test (Quant Apt) 1 - Question 28
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Two sides of a triangle are 2√2cm and 2√3 cm and the angle opposite to the shorter side of the two is π/4. The largest possible length of the third side is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 1 - Question 28


SSC CPO Mock Test (Quant Apt) 1 - Question 29
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If m is proportional to n and m=5 when n=4,then what is the value of m when n=18?
SSC CPO Mock Test (Quant Apt) 1 - Question 30
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One year ago the ratio of Karan's and Ankit's ages was 6:7, respectively. Four years hence this ratio would become 7:8. How old is Ankit?
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