UG-CLAT entrance exam Important Questions

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...

A man has 9 friends. 4 boys and 5 girls. In how many ways can he invite them if there have to be exactly 3 girls in the invitee's list?

A group of 630 children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What number of rows is not possible?

Two trains, one from Howrah to Patna and other from Patna to Howrah start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speed is.

A watch which gains uniformly is 2 minutes slow at noon on Monday and is 4 minutes 48 seconds fast at 2 p.m on the following Monday. When was it correct?

A speaks truth in 75% cases and B in 80% of the cases. In v1hat percentage of cases are they likely to contradict each other. narrating the same incident?

The sum of all the natural numbers from 200 to 600 (both inclusive) which are neither divisible by 8 nor by 12 is:

If n² = 12345678987654321, what is n?

Along a road lie an odd number of stones placed at intervals of 10 m. These stones have to be assembled around the middle stone. A person can carry only one stone at a time. A man carried out the job starting with the stone in the middle, carrying stones in succession, thereby covering a distance of 4.8 km. Then, the number of stones is·

What are the last two digits of 7²⁰⁰⁸? 

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A shop gives 15% discount on the purchase of a T.V. If paid for in cash immediately, a further discount of 12% is given. If the marked price is Rs. 15,000, what is the price of the T.V if cash purchase is made?

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The traffic lights at three different signal points change after every 45seconds, 75 seconds and 90 seconds respectively. If all change simultaneously at 7:20:15 hours, then they will change again simultaneously at

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A train which is moving at an average speed of 40 kmph, reaches its destination on time. When its average speed reduces to 35 kmph, then it reaches its destination 15 minutes late. The distance travelled by train is:

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The angles between the hands of a clock when the time is 4:25 am is:

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A circular park, 42 m in diameter, has a path 3.5 m wide running around it on the outside. Find the cost of graveling the path at Rs. 4 per m²

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If the product of zeroes of the polynomial ax² ­- 6x -­ 6 is 4, find the value of 'a'.

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60 kg of an alloy X is mixed with 100 kg of an alloy Y. If alloy X has lead and tin in the ratio of 3:2 and alloy Y has tin and copper in the ratio of 1:4, then the amount of tin in the new alloy is

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If a boy is standing at the top of the tower and another boy is at the ground at some distance from the foot of the tower, then the angle of elevation and depression between the boys when both look at each other will be: