AFCAT 2020 (1) Math All Questions With Solution
Question-1. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is?
(a) 15 (b) 16 (c) 18 (d) 25
Question-2. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
(a) 30% (b) 70%
(c) 100% (d) 250%
3. If A= x% of y and B= y% of x, then which of the following is true?
(a) A is smaller than B
(b) A is greater than B
(c) None of these
(d) If x is smaller than y, then A is greater than B
Question-4. If 20% of a=b, then b% of 20 is the same as
(a) 4% of a (b) 5% of a
(c) 20% of a (d) None of these
Question-5. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
(a) 2 : 3 : 4 (b) 6 : 7 : 8
(c) 6 : 8 : 9 (d) None of these
Question-6. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by 4000, the new ratio becomes 40 : 57. What is Sumit’s salary?
(a) 17000 (b) 20000
(c) 25500 (d) 38000
7. In a mixture 60 L, the ratio of milk and water is 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is
(a) 20 L (b) 30 L
(c) 40 L (d) 60 L
8. There is 60% increase in an amount in 6 yr at simple interest. What will be the compound interest of 12000 after 3 yr at the same rate?
(a) 2160 (b) 3120
(c) 3972 (d) 6240
9. The sum of ages of 5 children born at the intervals of 3 yr each is 50 yr. What is the age of the youngest child?
(a) 4 yr (b) 5 yr
(c) 8 yr (d) 10 yr
10. An accurate clock shows 8 o’clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?
(a) 144° (b) 150°
(c) 168° (d) 180°
11. The average weight of 8 person’s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
(a) 76 kg
(b) 76.5 kg
(c) 85 kg
(d) Data inadequate
12. Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively.What is Anand’s present age in years?
(a) 24 yr
(b) 27 yr
(c) 40 yr
(d) Cannot be determined
13. If a b − = 3 and a b 2 2 + = 29, find the value of ab.
(a) 10
(b) 12
(c) 15
(d) 18
14. What should come in place of both x in the equation x/√128=√162/x
(a) 12
(b) 14
(c) 144
(d) 196
15. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
(a) 375 (b) 400
(c) 600 (d) 750
16. A man complete a journey in 10 h. He travels first half of the journey at the rate of 21 km/h and second half at the rate of 24 km/h. Find the total journey (in km).
(a) 220 (b) 224 (c) 245 (d) 278
17. Two trains running in opposite directions cross a man standing on the platform in 27 s and 17 s respectively and they cross each other in 23 s. The ratio of their speeds is?
(a) 1 : 3 (b) 3 : 2
(c) 2 : 3 (d) None of these
18. The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm what is the length of the rectangle?
(a) 24 cm (b) 18 cm
(c) 16 cm (d) None of these
Answer:-
1. (b) 2. (b) 3. (c) 4. (a) 5. (a) 6. (d) 7. (d) 8. (c) 9. (a) 10. (d) 11. (c) 12. (a) 13. (a) 14. (a) 15. (b) 16. (b) 17. (b) 18. (b)