MCQ
Mathematics MCQ - Practice Questions with Answers
Solve 33 Mathematics questions for RAS/RPSC preparation.
Practice questions
Q1Present ages of Amit and Sanjay are in the ratio of 5:4 respectively. Three years hence the ratio of their ages will become 11:9 respectively. What is Amit’s present age in years?
Let Amit's and Sanjay's present ages be 5x and 4x. Then (5x + 3)/(4x + 3) = 11/9, giving 45x + 27 = 44x + 33 and x = 6. Amit's present age is 5x = 30 years, so option C is correct.
Q2Two vessels A and B contain milk and water mixed in the ratio 5 : 2 and 8 : 5 respectively .Find the ratio in which the contents of vessels A and B should be mixed to get a new mixture containing milk and water in the ratio 9 : 4.
Use milk fractions: vessel A has 5/7 milk, vessel B has 8/13 milk, and the required mixture has 9/13 milk. By alligation, A:B = (9/13 - 8/13):(5/7 - 9/13) = 1/13:2/91 = 7:2, so option D is correct.
Q3The present population of a village is 11,000. If the numbers of males increase by 11% and the numbers of females increase by 20%, then the population will become 12,660. What is the present population of females in the village ?
Let the present numbers of males and females be M and F, with M + F = 11000. After the increases, 1.11M + 1.20F = 12660; subtracting 1.11(M + F) = 12210 gives 0.09F = 450. Thus F = 5000, so option C is correct.
Q4A grocer has 80 kg rice, a part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. What is the quantity of rice sold at 18% profit ?
This is a weighted-average profit problem. By alligation, the quantities sold at 8% and 18% profit are in the ratio (18 − 14) : (14 − 8) = 4 : 6 = 2 : 3. Therefore the quantity sold at 18% profit is 3/5 of 80 kg, which is 48 kg; hence option D is correct.
Q5At what rate of simple interest, a certain sum will increase by upto 36% in 3 years ?
In simple interest, percentage increase equals rate multiplied by time. A 36% increase in 3 years means 3r = 36, so r = 12% per annum. Hence, option C is correct.
You've seen 5 of 33 sample questions
Unlimited practice on Mathematics comes with the RAS Test Series + Practice pack or Gate Pass.
More questions
6A sum of Rs. 2300 is divided between P, Q and R such that P’s share is 1/2 times that of Q and Q’s share is 1 1/4 times that of R, then R’s share in Rs. will be
7In how many years will ₹ 15,625 amounts to ₹ 17,576 at 4% p.a. compound interest?
8At 40 past 4 in the evening, the smaller angle between the hour and minute hands of a clock is :
9A started a business with ₹ 1,40,000 and after 5 months, B joined A as his partner. After a year, the profit is divided in the ratio 2 : 3. What was B’s contribution in the capital ?
10A sum of money is invested at 6% simple interest per annum. How long will it take to increase its value by 60%?
11In a college election between two candidates, one candidate got 45% of the total valid votes. 20% of the votes were invalid. If the total votes were 14,500, then what is the number of valid votes which the other candidate got ?
12The price of sugar reduced by 10% which enabled a shopkeeper to buy 10 kg more sugar for Rs. 3600. The reduced cost of 25 kg sugar is
13The present ages of Anuj and Deepak are in the ratio of 7:4 respectively. After 10 years their ages will be in the ratio of 4:3. What is the present age of Deepak?
14Vijay purchased 50 dozen eggs at Rs. 40 per dozen. Of these, 40 eggs were found broken. At what price per dozen should he sell the remaining eggs in order to make a profit of 5%?
15Kamal invested 1/5 of his sum of money at 6%, 1/2 at 5% and the remainder at the rate of 10% simple interest. If his annual income is ₹ 234.5 then his sum of money is -