# Take CLAT Maths Mock Test for Free | Maths Questions PDF for CLAT 2019 at Smartkeeda

Directions : Read the following questions carefully and choose the right answer.
Important for :
1
A  man is 36 years old and his son is one - fourth as old as him. In how many years will the son be four - seventh as old as his father?
» Explain it
B
Let son will be 4/7 of his father's agen in xx yeras.

 Then, 9 + x = 4 (36 + x) 7

⇒ 7 (9 + x) = 4 (36 + x)

⇒ 63 + 7x = 4 (36 + x)

⇒ 3x = 81 ⇒ x = 27

Hence, the sone will be 4/7th as old as father, after 27 years.

Hence, option B is correct.

2
 If x + 1 = 3, then the value of of x18 + x12 + x6 + 1 is x
» Explain it
A
 x + 1 = 3 x

 ⇒ x3 + 1 + 3 × x × 1 ( x + 1 ) = 3 3 x3 x x

 ⇒ x3 + 1 + 3 (3) = 3 3 x3

 ⇒ x3 + 1 = 0 ......(i) x3

Now x18 + x12 + x6 + 1
 = x15 [ x3 + 1 ] + x3 [ x3 + 1 ] x3 x3

 = [ x3 + 1 ] (x15 + x3) x3
= 0

Hence, option A is correct.

3
Find the area of the triangle whose vertices are (7, 3), (2, 5) and (4, 8).
» Explain it
B
Let (x1, y1) = (7, 3), (x2, y2) = (2, 5), and (x3, y3) = (4, 8).

Area of the triangle

 = | 1 [x1 (y2 – y3) + x2 (y3 – y1) + x3 (y1 – y2)] | 2

 = | 1 [7 (5 – 8) + 2 (8 – 3) + 4 (3 – 5)] | 2

 = | 1 [– 21 + 10 – 8] | = | – 19 | = 19 units 2 2 2

Hence, option B is correct.

4
A rectangular sheet of length 24 cm and of width 22 cm is rolled along the length into a right cylinder. What will be the volume of this cylinder? (π = 22/7)
» Explain it
C
Length of the cylinder = 22 cm and circumference of circular base = 24 cm

 = 2πr = 24 ⇒ r = 24 × 7 2 × 22

 ⇒ r = 42 cm 11

 ∴ Volume of cylinder = πr2l = 22 × 42 × 42 × 22 = 1008 cm3 7 11 11

Hence, option C is correct.

5
If two fair dice are thrown simultaneously what is the probability that the sum of the number on the top faces is less than 4?
» Explain it
A
Total number of possible events i.e. (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2)... and, so on.

∴ There will be 6 × 6 = 36 possible events.

Number of favourable events {(1, 1), (1, 2) and (2, 1)} = 3

 So, the reqd. probability = 3 = 1 36 12

Hence, option A is correct.

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Welcome to the Smartkeeda.com, In this article we are going to practice different type of CLAT Maths Questions with Solution for CLAT 2019.

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.
This above quiz will give you what type question  is being asked in the CLAT maths. You will also get here CLAT Maths Questions PDF with Explanation for CLAT 2019.

There are many other chapters like Boats and stream, Partnership, Mixture and Alligation, Simple Interest, Problems on Trains etc. These kind of questions has been seen in CLAT 2018 Exams. We would like to recommend you to practice clat maths questions at Smartkeeda with detailed solution at Free cost.

Here at Smartkeeda, You will get Maths Questions for CLAT at Free of Cost with unmatched explanation and unique questions. You can take quiz and check you level of prepareadness for your upcoming CLAT 2019 exam. If you practice Maths Questions of CLAT, it will help you to score high in you exam.

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