UG-CLAT entrance exam Important Questions for Mathematics

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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:

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Two consecutive even positive integers, sum of the squares of whichis 1060 are:

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A man buys Rs. 20 shares paying 9% dividend. The man expects to have an interest of 12% on his money. The market value of each share is:

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What is the sum of all the natural numbers from 1 to 100?

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A man earns ₹ 20 on the first day and spends ₹15 on the next day. He again earns ₹20 on the third day and spends ₹15 on the fourth day. If he continues to save in this way, how soon will he have ₹60 in hand?

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A library has an average of 510 VIS1tors on Sunday and 240 on the other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is 

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The value of a machine depreciates every year at the rate of 10% on its value at the beginning of that year. If the present value of the machine is Rs. 729, its worth three years ago was:

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A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days, she has to pay Rs. 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs. 1180 as hostel charges. Find the fixed charges and the cost of food per day.

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A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?

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‘A’ and ‘B’ complete a work in 12 days, ‘B’ and ‘C’ in 8 days and ‘C’ and ‘A’ in 16 days. ‘A’ left after working for 3 days. In how many days more will ‘B’ and ‘C’ finish the remaining work?

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A man rows to a place 45 k.ms distant and back in 12 hours. He realises that he can row 5 k.ms downstream at the same time as 3 k.ms against the stream. The velocity of the stream is:

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The Banker’s discount on a sum of money for 18 months is Rs. 600 and the true discount on the same sum for 3 years are Rs. 750/­. The rate percentage is:

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Taps ‘A’ and ‘B’ can fill a tank in `37 1/2` minutes and 45 minutes respectively. Both taps are opened and after some time tap ‘B’ is turned off. The tank is filled completely in exactly 30 minutes, if tap ‘B’ is turned off after:

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A trader sells rice at a profit of 20% and uses weights which are 10% less than the correct weight. The total gain earned by him is:

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The difference between simple interest and compound interest at the same rate for rupees 5,000 for two years is rupees 98. The rate of interest is:

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The average weight of three men ‘X’, ‘Y’ and ‘Z’ is 75 kgs. Another man ‘A’ joins the group and the average weight now becomes 80 kgs. If another person ‘B’ whose weight is 5 kgs more than ‘A’ replaces ‘X’, then the average weight of ‘Y’, ‘Z’, ‘A’ and ‘B’ will be 85 kgs. What is the weight of ‘X’s?

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In an office, 1/3 of the workers are Men, ½ of the men are married and 1/3 of the married men have children. If ¾ of the women are married and 2/3 of the married women have children, then the part of workers without children are:

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A can do a piece of work in 8 days and B alone can do the same work in 10 days. A and B agreed to do the work together for Rs. 720. With the help of C, they finished the work in 4 days. How much C is to be paid?

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A vessel contains a mixture of milk and water in the ratio of 5:3 respectively. How much of the mixture must be siphoned off and replaced with water, so that the mixture may be half milk and half water?