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CLAT Exam  >  CLAT Tests  >  Quant Mock Test - 8 - CLAT MCQ

Quant Mock Test - 8 - CLAT MCQ


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20 Questions MCQ Test - Quant Mock Test - 8

Quant Mock Test - 8 for CLAT 2024 is part of CLAT preparation. The Quant Mock Test - 8 questions and answers have been prepared according to the CLAT exam syllabus.The Quant Mock Test - 8 MCQs are made for CLAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Quant Mock Test - 8 below.
Solutions of Quant Mock Test - 8 questions in English are available as part of our course for CLAT & Quant Mock Test - 8 solutions in Hindi for CLAT course. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free. Attempt Quant Mock Test - 8 | 20 questions in 30 minutes | Mock test for CLAT preparation | Free important questions MCQ to study for CLAT Exam | Download free PDF with solutions
Quant Mock Test - 8 - Question 1
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If sum of two numbers be a and their product be b, then the sum of their reciprocals is

Detailed Solution for Quant Mock Test - 8 - Question 1

If the number be x and y, then
x + y = a and xy = b

Quant Mock Test - 8 - Question 2
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In a camp of 160 students provisions are available for 10 days. If 40 more students join the camp, how long will be provision last?

Detailed Solution for Quant Mock Test - 8 - Question 2

By, M1D1 = M2D2
⇒160 x 10 = 200 x D2
⇒ 

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Quant Mock Test - 8 - Question 3
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There taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would be three taps take to fill the tank if all of them are opened together?

Detailed Solution for Quant Mock Test - 8 - Question 3

Part of the tank filled by all three taps in an hour

∴ Hence, the tank will be filled in 2 hours.

Quant Mock Test - 8 - Question 4
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Discount on a pair of shoes marked at Rs. 475 and discounted at 15%, is
Detailed Solution for Quant Mock Test - 8 - Question 4

Required discount = 

Quant Mock Test - 8 - Question 5
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The cost price of an article is Rs. 100. A discount series of 5%, 10% successively reduces the price of a article by
Detailed Solution for Quant Mock Test - 8 - Question 5

Single equivalent discount
 
= 14.5%

Quant Mock Test - 8 - Question 6
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A grinder was marked at Rs. 3,600. After given a discount of 10% the dealer made a profit of 8%. Calculate the cost price.
Detailed Solution for Quant Mock Test - 8 - Question 6

 Let the C.P. of grinder be = Rs x

Quant Mock Test - 8 - Question 7
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If x2 + 9y2 = 6xy, then x : y is
Detailed Solution for Quant Mock Test - 8 - Question 7

x2 + 9y2 = 6xy

⇒ x2 – 6xy + 9y2 = 0

⇒ x2 – 2x.3y + (3y)2 = 0

⇒ (x – 3y)2 = 0

⇒ x – 3y = 0

⇒ x = 3y

⇒ x : y = 3 : 1

Quant Mock Test - 8 - Question 8
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The average of 8 numbers is 27. If each of the numbers is multiplied by 8, find the average of new set of numbers.
Detailed Solution for Quant Mock Test - 8 - Question 8

If each item is multiplied by 8, their average gets multiplied by 8.

∴ Required average = 8 x 27 = 216

Quant Mock Test - 8 - Question 9
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If the profit on sale price be 20%, the percentage of profit on cost price is
Detailed Solution for Quant Mock Test - 8 - Question 9

If S.P. = Rs 100, then gain = Rs 20
∴ C.P. = 100 – 20 = Rs 80

Quant Mock Test - 8 - Question 10
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A container containing 400 litres of oil lost 8% by leakage. Oil left on the container is
Detailed Solution for Quant Mock Test - 8 - Question 10

Remaining oil in container

Quant Mock Test - 8 - Question 11
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In an election, three candidates contested. The first candidate got 40% votes and the second got 36% votes. If total number of votes polled were 36000, find the number of votes got by the 3rd candidate.
Detailed Solution for Quant Mock Test - 8 - Question 11

Vote percentage of third candidate
 = 100 – 40 – 36 = 24%
∴ Votes got by third candidate

Quant Mock Test - 8 - Question 12
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A train, 120 m long, takes 6 seconds to pass a telegraph post; the speed of train is
Detailed Solution for Quant Mock Test - 8 - Question 12

Speed of train


Quant Mock Test - 8 - Question 13
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Atrain travelled at a speed of 35 km/hr for the first 10 minutes and at a speed of 20 km/hr for the next 5 minutes. The average speed of the train for the total 15 minutes is
Detailed Solution for Quant Mock Test - 8 - Question 13

Distance covered 
Total time = 15 minutes

Quant Mock Test - 8 - Question 14
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If x : y :: 2 : 3 and 2 : x : 4 : 8 the value of y is
Detailed Solution for Quant Mock Test - 8 - Question 14

Here x : y :: 2 : 3


    2 : x :: 4 : 8

Quant Mock Test - 8 - Question 15
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If 40% of of a number is 48, then what is 1% of the same number?
Detailed Solution for Quant Mock Test - 8 - Question 15

Here 40% of  of number = 48
Let number = x

Quant Mock Test - 8 - Question 16
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A train 50 metre long passes a platform 100 metre long in 10 sec. The speed of the train in km/hr is

Detailed Solution for Quant Mock Test - 8 - Question 16

Speed of train


Quant Mock Test - 8 - Question 17
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Rs. 730 were divided among A, B, C in such a way that if A gets Rs. 3, then B gets Rs. 4 and if B gets Rs. 3.50 then C gets Rs. 3. The share of B exceeds that of C by
Detailed Solution for Quant Mock Test - 8 - Question 17

Given   A : B = 3 : 4
B : C = 3.50 : 3
(Here A = Rs 3, B = Rs4)



Now share of B exceeds that of C by

Quant Mock Test - 8 - Question 18
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Mahesh earned a profit of 20% by selling 60 apples at the rate of Rs. 51 for 6 apples. Then the total cost, at which the apples were bought is
Quant Mock Test - 8 - Question 19
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In a prep school, the average weight of 30 girls in a class among 50 students is 16 kg and that of the remaining students is 15.5 kg. What is the average weight of all the students in the class?
Detailed Solution for Quant Mock Test - 8 - Question 19

Average weight

Quant Mock Test - 8 - Question 20
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A boy found that the average of 20 numbers is 35 when he writes a number ‘61’ instead of ‘16’. The correct average of 20 numbers is
Detailed Solution for Quant Mock Test - 8 - Question 20

Average of 20 numbers = 20 x 35 = 700
Here difference of a number = 61 – 16 = 45

Now correct average of 20 number = 35 – 2.25 = 32.75

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