Test: Number System- 4 - CLAT MCQ

# Test: Number System- 4 - CLAT MCQ

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## 20 Questions MCQ Test Quantitative Techniques for CLAT - Test: Number System- 4

Test: Number System- 4 for CLAT 2024 is part of Quantitative Techniques for CLAT preparation. The Test: Number System- 4 questions and answers have been prepared according to the CLAT exam syllabus.The Test: Number System- 4 MCQs are made for CLAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Number System- 4 below.
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Test: Number System- 4 - Question 1

### The sum of 3 consecutive even number is 40 more than the average of these numbers. Which of the following is the 2 largest number ?

Detailed Solution for Test: Number System- 4 - Question 1

X+x+2+x+4 = 40+(x+x+2+x+4)/3
3x+6 = 40+ (3x+6)/3
(9x+18 – 3x-6)/3= 40
6x + 12 = 120
X = 108/6 = 18
18+2 = 20

Test: Number System- 4 - Question 2

### The sum of 3 consecutive number is 1251, Find the largest even number ?

Detailed Solution for Test: Number System- 4 - Question 2

X+x+1+x+2 = 1251
3x+3 = 1251
X = 1248/3 = 416
X+2 = 416+2 = 418

Test: Number System- 4 - Question 3

### What is the least number that can be added to 7218 make it a perfect square ?

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

85*85 = 7225

Test: Number System- 4 - Question 4

If a = -2 and b = -5 then find the value of a3 + b3– a2 + b2 + 2a – 3b

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

a3 + b3– a2 + b2 + 2a – 3b
(-2)3 + (-5)3 – (-2)2 + (-5)2 + 2(-2) – 3(-5) = -8 -125-4+25-4+15 = -101

Test: Number System- 4 - Question 5

x+(1/x) = 2, then find the value of x + (-1/x)

Detailed Solution for Test: Number System- 4 - Question 5

X+(1/X) = 2 ;

(X^2+ 1)/ X = 2 ;

X^2+1 = 2X ;

X^2 - 2X + 1= 0 ;

By factorisation method ,

X = 1 ;

Now substitute X= 1 in X +(-1/X) ;

we get , 1 - 1/1 = 0 ;

Therefore , X = 0 ;

Test: Number System- 4 - Question 6

The average of 7 consecutive number is n, if the next 2 number also included then the new average will be increased by ?

Detailed Solution for Test: Number System- 4 - Question 6

Avg of 7 no= (7+1)/2 = 8/2 = 4
Avg of 9 no = (9+1)/2 = 5
5- 4 = 1
Hence increased by 1

Test: Number System- 4 - Question 7

When a positive number n is divided by 7 leaves the remainder 2, when 3n is divided by the same number, then the remainder is

Detailed Solution for Test: Number System- 4 - Question 7

N = 7+2 =9
3n = 27
27/7 = 6

Test: Number System- 4 - Question 8

The number of prime factors of 510510

Detailed Solution for Test: Number System- 4 - Question 8

2*3*5*7*11*13*17 = 510510

Test: Number System- 4 - Question 9

25% of a number is 2 time 65% of another number.Find the ratio of the second no to the first number ?

Detailed Solution for Test: Number System- 4 - Question 9

(a*25)/100 = b(2*65)/100
a*25 = b*130
a/b = 130/25 = 26/5
b:a = 5:26

Test: Number System- 4 - Question 10

Which one cannot be the square of a natural number ?

Detailed Solution for Test: Number System- 4 - Question 10

Square number can never end in 2,7

Test: Number System- 4 - Question 11

When a number is subtracted from the number 8,12 and 20, the remainders are in continued proportion, Find the number ?

Detailed Solution for Test: Number System- 4 - Question 11

8-x / 12 –x = 12-x /20 –x
(8-x)(20-x) = (12 – x)(12 –x)
160 – 8x – 20x + x2 = 144 – 12x – 12x + x2
4x = 16
x = 4

Test: Number System- 4 - Question 12

Sum of the three consecutive number is 1956. What is 23% of the highest number ?

Detailed Solution for Test: Number System- 4 - Question 12

X+x+1+x+2 = 1956
3x = 1956 – 3 = 1953
X = 1953/3 = 651
X+3 = 653
23% of largest num = 23*653/100 = 150.19

Test: Number System- 4 - Question 13

If the numerator of a fraction is increased by 100% and the denominator is increased by 200%. The resultant fraction is 1 (1/15), What was the original fraction ?

Detailed Solution for Test: Number System- 4 - Question 13

1(1/15) = 16/15
X+x/y+2y = 16/15
2x/3y = 16/15
x/y = (16*3) / (15*2) = 8/5 = 1(3/5)

Test: Number System- 4 - Question 14

Which of the following number is divisible by 11 ?

Detailed Solution for Test: Number System- 4 - Question 14

(9+3+4+7) – (2+4+5+1) = 11

Test: Number System- 4 - Question 15

The sum of square of 2 number is 1972 and the difference of their square is 620. Find the number ?

Detailed Solution for Test: Number System- 4 - Question 15

X2 + y2 = 1972
X2 – y2 = 620
Solve this
2x2 = 2592
x = 1296
x = 36
y2 = 1972 – 1296
y2 = 676
y = 26

Test: Number System- 4 - Question 16

Product of one fourth of the number and 120% of another number is what % of the product of the original number ?

Detailed Solution for Test: Number System- 4 - Question 16

x/4 = one fourth of the no
120y/100 = another no = 6y/5
% = [(x/4 * 6y/5)*100] / xy
= 600/20 = 30%

Test: Number System- 4 - Question 17

Find the 5 digit number, 5th digit is one fourth of the 3rd digit and one half of the 4th digit. 3rd digit is one half of the 1st digit. 2nd digit is 5 more than the 5th digit.

Detailed Solution for Test: Number System- 4 - Question 17

5th digit – 1
Second – 1+5 = 6
Third = 4
Four = 2
First = 4*2 = 8

Test: Number System- 4 - Question 18

What is the no of zeroes at the end of the product of the no from1 to 100 ?

Detailed Solution for Test: Number System- 4 - Question 18

100/5 + 100/25 = 20+4 = 24

Test: Number System- 4 - Question 19

x+y = 8 and x/y = 7 ,find y

Detailed Solution for Test: Number System- 4 - Question 19

7y+y = 4
8y = 8 Y = 1

Test: Number System- 4 - Question 20

If three numbers are added in pairs, the sums equal to 11,16 and 23.Find the three numbers

Detailed Solution for Test: Number System- 4 - Question 20

X+y = 11
Y+z = 16
Z+x = 23
X+y+z = 25
X = 25 – 16 = 9
y = 25 – 23 = 2
z = 25 – 11 = 14

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## Quantitative Techniques for CLAT

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