Test: Number System- 3 - CLAT MCQ

# Test: Number System- 3 - CLAT MCQ

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## 20 Questions MCQ Test Quantitative Techniques for CLAT - Test: Number System- 3

Test: Number System- 3 for CLAT 2024 is part of Quantitative Techniques for CLAT preparation. The Test: Number System- 3 questions and answers have been prepared according to the CLAT exam syllabus.The Test: Number System- 3 MCQs are made for CLAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Number System- 3 below.
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Test: Number System- 3 - Question 1

### In the examination a candidate must get 2/5 marks to pass, out of total marks.Shiyam appeared in the exam ang got 198 marks and still failed by 36 marks.The maximum mark is

Detailed Solution for Test: Number System- 3 - Question 1

Let the maximum mark be M.

Since Shiyam got 198 marks and still failed by 36 marks, this means that Shiyam needed 2/5 of the maximum mark to pass.

Therefore, 2/5 of M is equal to 198 + 36 = 234.

To find M, we can multiply both sides of the equation by 5/2:

M = 234 * 5/2 = 585.

So, the maximum mark is 585.

Test: Number System- 3 - Question 2

### If 4 is added to the numerator of a fraction it becomes 1/3 and if 3 is added to the denominator it becomes 1/6 then find the numerator and denominator is

Detailed Solution for Test: Number System- 3 - Question 2

Let the numerator be x and denominator be y

Fraction will be x/y

According to the question

(x + 4)/y = 1/3

⇒ 3x + 12 = y    ......(1)

Now,

x/(y + 3) = 1/6

⇒ 6x = y + 3    ......(2)

Solving both the equations we get

x = 5 and y = 27

So , fraction x/y =  5/27

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Test: Number System- 3 - Question 3

### One-third of a 2 digit number exceeds its one-fifth by 8.What is the 2 digit number ?

Detailed Solution for Test: Number System- 3 - Question 3

1/3(10x+y) -1/5(10x+y) = 8
(10x+y)[5/15 – 3/15] = 8
10x+y = 8*15/2 = 60

Test: Number System- 3 - Question 4

12 +22 +……………………………………+242

Detailed Solution for Test: Number System- 3 - Question 4

Sum of square number = n(n+1)(2n+1)/6
N = 24
Sum = 24*25*49/6 = 4900

Test: Number System- 3 - Question 5

Micael gets 3 marks for each correct questions and loses 2 marks for each wrong answers.He attempts 30 sum and obtain 30 marks.Find the no of Questions he answered correctly ?

Detailed Solution for Test: Number System- 3 - Question 5

let x be the no of correct answer
x+y=30
3x-2y=30
2x+2y=60
5x=90
x=18

Test: Number System- 3 - Question 6

What half of a number is added to 234, it becomes five time of itself. What is the number ?

Detailed Solution for Test: Number System- 3 - Question 6

x/2 + 234 = 5x
5x – x/2 = 234
9x/2 = 234
X = 234*2/9= 52

Test: Number System- 3 - Question 7

Twenty times a positive integer is less than its square by 96. What is the Integer ?

Detailed Solution for Test: Number System- 3 - Question 7

Let the positive integer be 'x'

Then, 20 times integer = 20x

Square of integer = x2

Twenty times a positive integer is less than its square by 96

x2  = 20x + 96

⇒ x2 - 20x - 96 = 0

⇒ x- 24x + 4x - 96 = 0

⇒ x ( x -24) + 4( x - 24) = 0

⇒ (x + 4) × (x -24) = 0

⇒ x = -4,  x = 24

∴ The positive integer is 24

Test: Number System- 3 - Question 8

There are some Parrots and Some Lions in a forest.If the total number of animals head in forest are 840 and total no of animal legs are 1760.What is the number of Parots in the forest ?

Detailed Solution for Test: Number System- 3 - Question 8

2x+4(840-x) = 1760
2x+3360-4x = 1760
-2x = 1600
X = 1600/2 = 800

Test: Number System- 3 - Question 9

When all the students in a school are made to stand in row of 68, 40 such rows are formed.If the students are made to stand in the row of 20, how many such rows can be formed ?

Detailed Solution for Test: Number System- 3 - Question 9

No of row = 68*40/20 = 136

Test: Number System- 3 - Question 10

A banana costs Rs.1.25 and Orange costs Rs2.75. What will be the total cost of 10 bananas and 2 dozens Orange ?

Detailed Solution for Test: Number System- 3 - Question 10

1.25*10 +2.75*24 = 12.5 +66 = 78.50

Test: Number System- 3 - Question 11

What will be the Unit digit of 27!

Detailed Solution for Test: Number System- 3 - Question 11

1*2*3*………………………………26*27
Factorial after 6 should end with 0

Test: Number System- 3 - Question 12

xp × xq × xr = 1 then p3 + q3 + r3 is equal to

Detailed Solution for Test: Number System- 3 - Question 12

so p + q + r = 0

Test: Number System- 3 - Question 13

If the divisor is five times the quotient and six times the remainder, if the remainder is 5 then the dividend is

Detailed Solution for Test: Number System- 3 - Question 13

Q=6, R = 5
Dividend = divisor*Q + R
Dividend = 30*6 + 5 = 180+5 = 185

Test: Number System- 3 - Question 14

If the sum and the product of 2 numbers are 25 and 144 respectively then the difference of the number should be

Detailed Solution for Test: Number System- 3 - Question 14

A+B = 25
AB = 24
(a-b)2 = (a+b)2 – 4ab
(a-b)2 = 25 – 4(144)
(a-b)2 = 625 – 576
(a-b)2 = 49
a-b = 7

Test: Number System- 3 - Question 15

The sum of the two digit number is 11. The number obtained by reversing the digit is 27 less than the original number.Then the original number is

Detailed Solution for Test: Number System- 3 - Question 15

4+7 = 11
74-47 = 27

Test: Number System- 3 - Question 16

The product of 2 consecutive even number is 1224, then one of the number is

Detailed Solution for Test: Number System- 3 - Question 16

34*36 = 1224

Test: Number System- 3 - Question 17

212 +222 +232 +…………………302 = ?

Detailed Solution for Test: Number System- 3 - Question 17

12 +22 +32 +…………………n2 = 1/6[n(n+1)(2n+1)]
= 30*31*61/6 – 20*21*41/6
= 9455 – 2870 = 6585

Test: Number System- 3 - Question 18

A number when divided by 361 gives a remainder 47. If the Same number is divided by 19 ,the remainder is

Detailed Solution for Test: Number System- 3 - Question 18

47÷19 ⇒ remainder 9
Ex : 769 ÷ 361 ⇒ remainder 47
769 ÷ 19 ⇒ remainder 9

Test: Number System- 3 - Question 19

The respective ratio between the two digit of a number is 5:3, if the digit at the one’s place is twice the digit at ten’s place.What is the number ?

Detailed Solution for Test: Number System- 3 - Question 19

2x/x = 5/3
6x = 5x

Test: Number System- 3 - Question 20

N is the smallest number which when added to the 2000 makes the resulting number divisible by 12, 16, 18 and 21, Then the N is

Detailed Solution for Test: Number System- 3 - Question 20

LCM of 12, 16, 18, 21 = 1008
1008*2 = 2016
N = 16

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## Quantitative Techniques for CLAT

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