UG-CLAT entrance exam Question Bank Solutions for Mathematics

A man covers half of his journey as 6 km/h and the remaining half at 3 km/h. His average speed is

A goods train is 800 meters long and it is running at a constant speed of 60 km/per hour. If it takes 120 seconds to pass a bridge, then calculate the length of the bridge?

It takes eight hours for a 600 km journey. if 120 km is done by train and the rest by car. It takes 20 min more if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is

If `(9/7)3 x (49/81)2x-6 =(7/9)9`, then the value of x is:

What is the value of (x) in the following equation?

x^0.4 , 16 = 32 , x^2.6

The simplified value of [(0.111)³ + (0.222)³ - (0.333)³ + (0.333)² × (0.222)]³ is :

When `2 1/2`, is added to a number and the sum is multiplied by `4  1/2`, and then 3 is added to the product and then the sum is divided by `1 1/5`. the quotient becomes 25. What is that number?

If x = (16³ + 17³ + 18³ + 19³), then x divided by 70 leaves a remainder of...

What are the last two digits of 7²⁰⁰⁸? 

A student was asked to simplify the expression: `(0.1216 xx 0.105 xx 0.0002)/(0.625 xx 0.08512 xx 0.039 xx 0.16)` his answer was `1/65.` What  is the difference between his answer and the correct answer?

Simplify

`[(0.333)^3/(0.111)^2-(0.222)^4/(0.111)^3]`

287 x 287 + 269 x 269-2 x 287 x 269 = ?

(112 x 54⁴) = ?

If `114/0.144 = 14.4/x`, then the value of x is

3889 + 12.952 - ? = 3854.002

(1000)⁹ ÷ (10)²⁴ =?

`((489 + 375)^2-(489 - 375)^2)/((489×375))` = ?

Simplify `(7/2÷5/2xx3/2)/(7/2÷5/2xx3/2`÷ 5.25

Simplify 1 + `1/(2+1/(3+1/3))`

The square root of 64009 is