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SSC CPO Mock Test (Quant Apt) 6 - SSC MCQ


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30 Questions MCQ Test - SSC CPO Mock Test (Quant Apt) 6

SSC CPO Mock Test (Quant Apt) 6 for SSC 2024 is part of SSC preparation. The SSC CPO Mock Test (Quant Apt) 6 questions and answers have been prepared according to the SSC exam syllabus.The SSC CPO Mock Test (Quant Apt) 6 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) 6 below.
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SSC CPO Mock Test (Quant Apt) 6 - Question 1
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The ratio between the ages of P and Q four yrs ago was 5 : 6. If the total of their ages at present is 52 yrs, what is the ratio of their present ages?

Detailed Solution for SSC CPO Mock Test (Quant Apt) 6 - Question 1

SSC CPO Mock Test (Quant Apt) 6 - Question 2
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If x + y = 6 and 3x - y = 4, then x - y is equal to

Detailed Solution for SSC CPO Mock Test (Quant Apt) 6 - Question 2

x + y = 6
⇒ y = 6 - x
Now, 3x - y = 4
or 3x - (6 - x) = 4
or 3x - 6 + x = 4
or 4x = 10

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SSC CPO Mock Test (Quant Apt) 6 - Question 3
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A train starts with full of passenges.At the first station,the train drops one-third of the passengers and takes in 96 more.At the next station,one half of the passengers on board get down while 12 new passengers get on board.The number of passengers now is 240.The number of passengers in the beginning was

Detailed Solution for SSC CPO Mock Test (Quant Apt) 6 - Question 3

Let the number of passengers be x when the train started off
∴ At the first station, the number of passengers = x - x/3 + 96 = 2x/3 + 96
At the second station, the number of passengers = ( 2x/3 + 96) 1/2 + 12
At the third station, the number of passengers left = x/3 + 48 + 12 = 240
⇒ x/3 = 180
⇒ x = 540

SSC CPO Mock Test (Quant Apt) 6 - Question 4
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Total number of boys and girls eligible for the book grant is 9. Each boy is given a grant of Rs 25 and each girl Rs 20. If the total amount given as grant is Rs 200,the number of girls eligible for grant is
SSC CPO Mock Test (Quant Apt) 6 - Question 5
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If (2x+3) and (x-1) are two factors of (2x2 + x)2 - 4(2x2 + x) + 3, then the remaining two factors are
Detailed Solution for SSC CPO Mock Test (Quant Apt) 6 - Question 5
(2x2 + x)2 - 4(2x2 + x) + 3
= 4x4 + x2 + 4x3 - 8x2 - 4x + 3
= 4x4 + 4x3 - 7x2 - 4x + 3
= 4x3 (x - 1) + 8x2 (x - 1) + x (x - 1) - 3 (x - 1)
= (x - 1) (4x3 + 8x2 + x - 3)
= (x - 1) [2x2 (2x + 3) + x(2x + 3) - 1(2x + 3)]
= (x - 1) (2x + 3) (2x2 + x - 1)
= (x - 1) (2x + 3) [2x2 + 2x - x - 1]
= (x - 1) (2x + 3) [(2x (x + 1)) - 1(x + 1)]
= (x - 1) (2x + 3) (x + 1) (2x - 1)
SSC CPO Mock Test (Quant Apt) 6 - Question 6
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A company produces on an average 4000 items per month for the first 3 months. How many items it must produce on an average per month over the next 9 months, to average 4375 items per month over the whole?
Detailed Solution for SSC CPO Mock Test (Quant Apt) 6 - Question 6


∴ 4500 items per month should be produced for the last 9 months

SSC CPO Mock Test (Quant Apt) 6 - Question 7
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A rectangular park is 200 by 150m. Two cross paths are to be made one parallel to the length and the other parallel to the breadth. The longer path is to be 3 m wide and the shorter is to be 2 m wide. The cost of grassing the remaining part of the park @ Rs. 1000 per ha is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 6 - Question 7

Area of the park minus the paths
= (200 - 3) (150 - 2)
= 197 × 147 sq. m
= 29156 sq. m
The cost of grashing the remaming part of the park = Rs 29156/10000 x 1000
= Rs 2915.6

SSC CPO Mock Test (Quant Apt) 6 - Question 8
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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) 6 - 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) 6 - Question 9
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The area of the sector of the circle is 1/10th the area of the circle. The angle of the sector is​
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SSC CPO Mock Test (Quant Apt) 6 - Question 10
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The average of 50 numbers is 30. If two numbers, 35 ad 40 are discarded, then the average of the remaining numbers is nearly:
Detailed Solution for SSC CPO Mock Test (Quant Apt) 6 - Question 10

Sum of 50 number = 30 x 50 = 1,500
Sum of remaining 48 numbers = 1,500 - (35 + 40) = 1,425

SSC CPO Mock Test (Quant Apt) 6 - Question 11
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If the equation 12x² + 7xy - py² - 18x + y + 6 = 0 represents a pair of perpendicular lines, then
SSC CPO Mock Test (Quant Apt) 6 - Question 12
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At what per cent annum will Rs 3000 amount to Rs 3993 in 3 years if the interest is compounded annually?
SSC CPO Mock Test (Quant Apt) 6 - Question 13
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is equal to
SSC CPO Mock Test (Quant Apt) 6 - Question 14
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The marked price of a watch was Rs 720. A man bought the same for Rs 550.80 after getting two successive discounts,the first being 10%. What was the second discount rate?
SSC CPO Mock Test (Quant Apt) 6 - Question 15
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Two-third of a positive number and 25/216 of its reciprocal are equal. The number is
SSC CPO Mock Test (Quant Apt) 6 - Question 16
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AB∥CD and P is a point between the lines, the measure of the angles ∠ABP+∠BPD+∠CDP is
SSC CPO Mock Test (Quant Apt) 6 - Question 17
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Statement-"A curve is always a locus but a locus need not be a curve." The statement is
SSC CPO Mock Test (Quant Apt) 6 - Question 18
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Radius of a circle is 61 cm. If a chord of a this circle is 11 cm from the centre then the length of the chord is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 6 - Question 18
Using Pythograrous theorem as in above MB = 60 cm so length of chord = 120 cm.
SSC CPO Mock Test (Quant Apt) 6 - Question 19
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Lines AB and CD intersect at O. This forms four angles. If sum of three of these is 299° then the measure of the fourth angle is
Detailed Solution for SSC CPO Mock Test (Quant Apt) 6 - Question 19

Sum of all angles about a point is 360
299 + x = 360°
so, x = 61

SSC CPO Mock Test (Quant Apt) 6 - Question 20
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Find the least multiple of 23,which when divided by 18,21 and 24 leaves the remainders 7,10 and 13 respectively.
SSC CPO Mock Test (Quant Apt) 6 - 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  15°,then the distance of the boat from the foot of the light house is equal to
SSC CPO Mock Test (Quant Apt) 6 - Question 22
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The sum of the two digits number is 15. If 9 be added to the number, then the digits are reversed. The number is
SSC CPO Mock Test (Quant Apt) 6 - Question 23
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A district has 64000 inhabitants. If the population increases at the rate of 2(1/2)% per annum, then the number of inhabitants at the end of 3 years will be
SSC CPO Mock Test (Quant Apt) 6 - Question 24
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In a school 70% of the students are girls. The number of boys is 510. Then the total number of students in the school is
SSC CPO Mock Test (Quant Apt) 6 - Question 25
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A tap can fill a tank in one hour. A second tap empty it in 30 minutes. If both the taps operate simultaneously, how much time is needed to empty the tank?
Detailed Solution for SSC CPO Mock Test (Quant Apt) 6 - Question 25

In one minute 1/60 + 1/30 = 1/20 of the tank will be empty

SSC CPO Mock Test (Quant Apt) 6 - Question 26
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A book-seller bought 200 textbooks for Rs 12,000. He wanted to sell them at a profit so that he got 20 books free. At what profit percent should he sell them?
SSC CPO Mock Test (Quant Apt) 6 - Question 27
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Kewal sells two tape recorders at the same price. On one,he gains 10% and on the other, he loses 10%. The total gain or loss in the transaction is
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SSC CPO Mock Test (Quant Apt) 6 - Question 28
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In a triangle AC, if a = 2, B = 60° and c = 75°, then b =
SSC CPO Mock Test (Quant Apt) 6 - Question 29
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The ratio between the present ages of P and Q is 3:4 respectively. If P's age is 20 yrs,what will be the ratio of their ages after 5 yrs?
SSC CPO Mock Test (Quant Apt) 6 - Question 30
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Rs 6400 are divided among three workers in the ratio . The share of the second worker (in rupees)is
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