Csat---math Questions - upsc Practice

#1

In a group of persons, 70% of the persons are male and 30% of the persons are married. If two sevenths of males are married, what fraction of the females is single? [ U.P.S.C ( 2011 ) Pre. ]

2/7 3/7 2/3 1/3

#2

There are 100 students in a particular class. 60% students play cricket, 30% student play football and 10% student play both the games. What is the number of students who play neither cricket nor football ? [ U.P.S.C ( 2011 ) Pre. ]

25 20 18 15

#3

A and B decide to travel from place X to place Y by bus. A has Rs. 10 with him and he finds that it is 80% of the bus fare for two persons. B finds that he has Rs. 3 with him and hands it over to

Now the money A has just enough to buy two tickets. A still needs Rs. 2 for buying the tickets After buying the two tickets A will be left with 50 paise. The money A now has is still not sufficient to buy two tickets.

#4

In a test, a candidate attempted only 8 questions and secured 50% marks in each of the questions. If he obtained a total of 40% in the test and all questions in the test carried equal marks, how many questions were there in the test ? [ U.P.S.C ( 2015 ) Pre. ]

8 10 15 16

#5

A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair. While preparing the bill, the bill clerk interchanged the number of black and brown pairs by mistake which increased the bill by 100%. What was the number of pairs of brown socks in the original order ? [ U.P.S.C ( 2015 ) Pre. ]

10 15 20 25

#6

In a town, 45% population read magazine A, 55% read magazine B, 40% read magazine C, 30% read magazines A and B, 15% read magazines Band C, 25% read magazines A and C; and 10% read all the three magazines. What percentage do not read any magazine? [U.P.S.C ( 2015 ) Pre.]

10 % 15 % 20 % 25 %

#7

Candidates in a competitive examination consisted of 60% men and 40% women. 70% men and 75% women cleared the qualifying test and entered the final test where 80% men and 70% women were successful. Which of the following statements is correct? [U.P.S.C ( 2015 ) Pre.]

Success rate is higher for women. Overall success rate is below 50%. More men cleared the examination than women. Both (a) and (b) above are correct.

#8

Anita’s mathematics test had 70 problems carrying equal marks i.e., 10 arithmetic, 30 algebra and 30 geometry. Although she answered 70% of the arithmetic, 40% of the algebra and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% marks. The number of more questions she would have to answer correctly to earn a 60% passing marks is : [ U.P.S.C ( 2016 ) Pre. ]

1 5 7 9

#9

The monthly average salary paid to all the employees of a company was Rs. 5000. The monthly average salary paid to male and female employees was Rs. 5200 and Rs. 4200 respectively. Then the percentage of males employed in the company is [ U.P.S.C ( 2016 ) Pre. ]

75 % 80 % 85 % 90 %

#10

Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than the number X ? [ U.P.S.C ( 2016 ) Pre. ]

12 % 10 % 9 % 8 %

#11

In a city, 12% of households earn less than Rs. 30,000 per year, 6% households earn more than Rs. 2,00,000 per year, 22% households earn more than Rs. 1,00,000 per year and 990 households earn between Rs. 30,000 and Rs. 1,00,000 per year. How many households earn between Rs. 1,00,000 and Rs. 2,00,000 per year ? [ U.P.S.C ( 2017 ) Pre. ]

250 240 230 225

#12

A student has to get 40% marks to pass in an examination. Suppose he gets 30 marks and fails by 30 marks, then what are the maximum marks in the examination ? [ U.P.S.C ( 2018 ) Pre. ]

100 120 150 300

#13

A and B are two heavy steel blocks. If B is placed on the top of A, the weight increases by 60%. How much weight will reduce with respect to the total weight of A and B, if B is removed from the top of A? [ U.P.S.C ( 2019 ) Pre. ]

60 % 45.5 % 40 % 37.5 %

#14

Raju has Rs. 9000 with him and he wants to buy a mobile handset; but he finds that he has only 75% of the amount required to buy the handset. Therefore, he borrows 2000 from a friend. Then [ U.P.S.C ( 2019 ) Pre. ]

Raju still does not have enough amount to buy the handset. Raju has exactly the same amount as required to buy the handset. Raju has enough amount to buy the handset and he will have 500 with him after buying the handset. Raju has enough amount to buy the handset and he will have 1000 with him after buying

#15

In an examination, A has scored 20 marks more than B. If B has scored 5% less marks than A, how much has B scored ? [ U.P.S.C ( 2019 ) Pre. ]

360 380 400 420

#16

As a result 25 % hike in the price of rice per kg , a person is able to purchase 6 kg less rice for Rs. 1200 . What was the original price of rice per kg ? [ U.P.S.C ( 2020 ) Pre. ]

Rs.30 Rs. 40 Rs. 50 Rs. 60

#17

A vessel full of water weighs 40 kg . If it is one – third filled , its weight becomes 20 kg.What is the weight of the empty vessel ? [ U.P.S.C ( 2020 ) Pre. ]

10 kg 15 kg 20 kg 25 kg

#18

A student appeared in 6 papers . The maximum marks are the same for each paper . His marks in these papers are in the proportion of 5 : 6 : 7: 8 : 9 : 10 . Overall he scored 60 % . In how many number of papers did he score less than 60 % of the maximum marks ? [ U.P.S.C ( 2021 ) Pre. ]

2 3 4 5

#19

In a class , 60 % of students are from India and 50 % of the students are girls . If 30 % of the Indian students are girls , then what percentage of foreign students are boys ? [ U.P.S.C ( 2021 ) Pre. ]

45 % 40 % 30 % 20 %

#20

If the price of an article is decreased by 20 % and then the new price is increased by 25 % then what is the net change in the price ? [ U.P.S.C ( 2021 ) Pre. ]

0 % 5 % increase 5 % decrease Cannot be determined due to insufficient data

#21

P scored 40 marks more than Q in an examination . If Q scored 10 % less marks than P, then how much did Q score ? [ U.P.S.C ( 2021 ) Pre. ]

360 380 400 420

#22

When 70% of a number x is added to another number y, the sum becomes 165% of the value of y. When 60% of the number x is added to another number z, then the sum becomes 165% of the value of z. which one of the following is correct ? [ U.P.S.C ( 2022 ) Pre. ]

z < x < y x < y < z y < x < z z < y < x

#23

Two candidates X and Y contested an election. 80% of voters cast their vote and there were no invalid votes. There was no NOTA (None of the above) option. X got 56% of the votes cast and won by 1440 votes. What is the total number of voters in the voters list ? [ U.P.S.C ( 2022 ) Pre. ]

15,000 12,000 9600 5000