# CLAT Maths PDF For Free Quiz 37 | CLAT Maths Questions with Solutions

Directions : Read the following questions carefully and choose the right answer.
Important for :
1
 [ { ( 7 + 5 – 1 ) ÷ 2 1 } × 2 3 ] ÷ ( 5 – 3 4 – 2 ) = ? 3 2 6 3 7 7 7
» Explain it
C
 [ { ( 7 + 5 – 1 ) ÷ 2 1 } × 2 3 ] ÷ ( 5 – 3 4 – 2 ) = ? 3 2 6 3 7 7 7

 = [ { ( 7 + 5 – 1 ) ÷ 2 1 } × 2 3 ] ÷ ( 5 – 3 4 – 2 ) 3 2 6 3 7 7 7

 = [ { ( 7 + 5 – 1 ) ÷ 7 } × 17 ] ÷ ( 5 – 25 – 2 ) 3 2 6 3 7 7 7

 = [ { ( 14 + 15 – 1 ) ÷ 7 } × 17 ] ÷ ( 5 – 25 – 14 ) 6 3 7 7

 = [ { 28 ÷ 7 } × 17 ] ÷ ( – 34 ) = [ { 28 × 3 } × 17 ] ÷ ( – 34 ) 6 3 7 7 6 7 7 7

 = [ 2 × 17 ] ÷ ( – 34 ) = 34 × ( – 7 3 ) = – 1 7 7 7 34 7

Hence, option C is correct.

2
The least number which, when divided by 35 leaves the ramainder 25, and on division by 45 leaves the remainder 35 and on division by 55 leaves the remainder 45 is
» Explain it
D
Difference between divisor and remainder = 35 – 25 = 45 – 35 = 55 – 45 = 10.

LCM of 35, 45, 55 = 5 × 7 × 9 × 11 = 3465

Required Number = 3465 – 10 = 3455

Hence, option D is correct.
3
Three years ago, the average age of a family of 5 members was 17 years. A baby was born, but the average age of the family is still the same today. The present age of the baby is
» Explain it
C
Total sum of ages of family members 3 years ago = 17 × 5 = 85  years.

Total sum of present ages of family members = 85 + 3 × 5 + x, where x is the age of the baby.

 Present average = 85 + 3 × 5 + x = 17 6

⇒ x = 102 – 100 = 2 years

Hence, option C is correct.

4
Of the total amount received by Nirdosh, 20% was spent on purchases and 5% of the remaining amount was spent on transportation. What was the initial amount if she is left with Rs. 1520?
» Explain it
A
Let Rs. 100 be the sum. 20% is spent on purchases.

Hence we are left with Rs. 80.

Five percent of 80 is 4.

Hence the remaining amount is Rs. 76.

We are given that the remaining amount is Rs. 1520. Hence 76 corresponds to Rs. 1520 and hence 100 corresponds to

 = 100 × 1520 = Rs. 2000 76

Hence, option A is correct.

5
At what simple interest rate shall a sum of money double itself in 4 years?
» Explain it
B
An important point to be noted here is that the amount received by the lender is doulbe the amount given.

i.e., Interest = Principal.

So, if x is the Principal, then x is also the simple interest.

 ∴ x = x × R × 4 ⇒ R = 100 = 25% 100 4

Hence, option B is correct.

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Maths Questions for CLAT is a very important topic for CLAT Aspirants to practice. CLAT Maths  Questions are generally called Word problems which belongs Average, Percentage, Ratio and Proportion,  Profit and Loss, Compound Interest, Simple Interest, Clock, HCF and LCM, Circle, Volume, Height and Distance etc.
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