1) The population of a town is 3,11,250. The ratio between women and men is 43 : 40. If there are 24% literate among men and 8% literate among women, the total number of literate persons in the town is:

• (a) 41,800
• (b) 48,900
• (c) 56,800
• (d) 99,600

2) Two numbers A and B are such that the sum of 5% of A and 4% of B is ²⁄₃ of the sum of 6% of A and 8% of B. The ratio A : B is:

• (a) 4 : 3
• (b) 3 : 4
• (c) 1 : 1
• (d) 2 : 3

3) The ratio of the number of boys to that of girls in a village is 3 : 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of villagers appeared in the examination to that not appeared in the same examination is:

• (a) 9 : 14
• (b) 23 : 27
• (c) 1 : 1
• (d) 27 : 23

4) A sample of 50 litres of glycerine is found to be adulterated to the extent of 20%. How much pure glycerine should be added to it so as to bring down the percentage of impurity to 5%?

• (a) 155 litres
• (b) 150 litres
• (c) 150.4 litres
• (d) 149 litres

5) 1 litre of water is added to 5 litres of alcohol-water solution containing 40% alcohol strength. The strength of alcohol in the new solution will be:

• (a) 30%
• (b) 33%
• (c) 33²⁄₃%
• (d) 33¹⁄₃%

6) A vessel has 60 litres of solution of acid and water having 80% acid. How much water be added to make it a solution in which acid forms 60%?

• (a) 48 litres
• (b) 20 litres
• (c) 36 litres
• (d) None of these

7) An ore contains 25% of an alloy that has 90% iron. Other than this, in the remaining 75% of the ore, there is no iron. To obtain 60 kg of pure iron, the quantity of the ore needed (in kgs) is approximately:

• (a) 250.57
• (b) 266.67
• (c) 275.23
• (d) 300

8) One type of liquid contains 20% water and the second type of liquid contains 35% of water. A glass is filled with 10 parts of first liquid and 4 parts of second liquid. The water in the new mixture in the glass is:

• (a) 37%
• (b) 46%
• (c) 12¹⁄₇%
• (d) 24²⁄₇%

9) In the new budget, the price of kerosene oil rose by 25%. By how much per cent must a person reduce his consumption of kerosene oil so that his expenditure on it does not increase?

• (a) 20%
• (b) 25%
• (c) 50%
• (d) 40%

10) If the price of a commodity is decreased by 20% and its consumption is increased by 20%, what will be the increase or decrease in the expenditure on the commodity?

• (a) 4% increase
• (b) 4% decrease
• (c) 8% decrease
• (d) 8% increase

11) In an examination, a student who gets 20% of the maximum marks fails by 5 marks. Another student who scores 30% of the maximum marks gets 20 marks more than the pass marks. The necessary percentage required for passing is:

• (a) 32%
• (b) 23%
• (c) 22%
• (d) 20%

12) 72% of the students of a certain class took Biology and 44% took Mathematics. If each student took at least one subject from Biology or Mathematics and 40 took both, then the total number of students in the class is:

• (a) 200
• (b) 240
• (c) 250
• (d) 320

13) In an examination in which full marks were 500, A got 10% less than B. B got 25% more than C. C got 20% less than D. If A got 360 marks, what percentage of full marks was obtained by D?

• (a) 90%
• (b) 80%
• (c) 50%
• (d) 60%

14) In an examination 80% of the boys passed in English and 85% passed in Mathematics, while 75% passed in both. If 45 boys failed in both, the number of boys who sat for the examination was:

• (a) 400
• (b) 450
• (c) 200
• (d) 150

15) In a group of students, 70% can speak English and 65% can speak Hindi. If 27% of the students can speak none of the two languages, then what percent of the group can speak both the languages?

• (a) 38%
• (b) 62%
• (c) 28%
• (d) 23%

16) In a test a student got 30% marks and failed by 25 marks. In the same test another student got 40% marks and secured 25 marks more than the essential minimum pass marks. The maximum marks for the test were:

• (a) 400
• (b) 480
• (c) 500
• (d) 580

17) In an examination 80% candidates passed in English and 85% candidates passed in Mathematics. If 73% candidates passed in both these subjects, then what percent of candidates failed in both the subjects?

• (a) 8%
• (b) 15%
• (c) 27%
• (d) 35%

18) In an examination, 35% of the candidates failed in Mathematics and 25% in English. If 10% failed in both Mathematics and English, then how much percent of candidates passed in both the subjects?

• (a) 50%
• (b) 55%
• (c) 57%
• (d) 60%

19) In an examination, 93% of students passed and 259 failed. The total number of students appearing at the examination was:

• (a) 3700
• (b) 3850
• (c) 3950
• (d) 4200

20) In an examination 73% of the candidates passed in quantitative aptitude test, 70% passed in General awareness and 64% passed in both. If 6300 failed in both subjects, the total number of examinees was:

• (a) 60000
• (b) 50000
• (c) 30000
• (d) 25000