Percentage Questions For CMAT

I want the sample Percentage Questions for preparation of Common Management Admission Test (CMAT) exam?

[shikha]

Ok, here I am providing you the sample Percentage Questions for preparation of Common Management Admission Test (CMAT) exam

CMAT exam sample Percentage Questions

1. A person invested 1,00,000 at 8% simple interest for 5 years and reinvested the amount received at 10% simple interest for 2 years. What was the final amount received by him?

(a) 1,56,000 (b) 1,60,000 (c) 1,68,000 (d) 1,70,000

2. A 100 liters spirit water solution contains 75% spirit. Find the amount of water to be added to convert it into 60% spirit solution.

(a) 15 liters (b) 25 liters (c) 40 liters (d) 20 liters

3. Ajay started a firm with a capital of 28,000. After 5 months, Boman joined him and invested 40,000 in the firm. Chirag was also added as a new partner with an individual investment of 56,000 after 7 months of commencement. If at the end of the year, the profit of the firm is 32,000, what is the share of Boman?

(a) 12,000 (b) 8,000 (c) 14,000 (d) 10,000

4. The price of a machine increases by 20% in a year and decreases by 15% in the following year.What is net percentage increase/decrease in the price of the machine?

(a) 1% increase (b) 2% increase (c) 1% decrease (d) 2% decrease

5. The question given below is followed by two statements, I and II. Mark the answer using the following instructions:

Mark (a) if the question can be answered by using statement I alone, but not by using statement II alone.
Mark (b) if the question can be answered by using statement II alone, but not by using statement I alone.
Mark (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Mark (d) if the question cannot be answered even by using both the statements together.

Q. In a class, the ratio of boys to girls is 13 : 10. How many boys are there in the class?

I. The number of boys is 30% more than the number of girls.

II. The number of girls is 15 less than the number of boys.

6. A person covers 180 km, 240 km and 300 km by car, train and bus respectively. Find the average speed of the whole journey if the speed of car, train and bus is 60 km/hr, 80 km/hr and 50 km/hr respectively.

(a)63(1/3) km/hr (b) 60 km/hr (c)62(1/3) km/hr (d) 62 km/hr

7. When two students of a class with strength of 40 students were expelled, the average age of the class which was 18 years did not change. If one of the students was 14 years old, what was the age (in years) of the second student?

(a) 22 (b) 24 (c) 26 (d) 20

8. Pure spirit costs _100 per liter. If 90% spirit solution is mixed with 60% spirit solution, Shyam makes a profit of 25% by selling the mixture at _100 per liter. In what ratio does he mix the two?

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

9. A and B together can complete a piece of work in 12 days. A and C together can complete the work in 20 days. If three of them together can complete the work in 8 days, then in how many days can A alone complete the work?

(a) 24 (b) 13 (1/3) (c) 120 (d) 60

10, A mason used to earn 180 on Saturdays, 210 on Sundays and a fixed amount on the remaining five days of the weeks in a particular year. If the average income of the mason in the month of April, whose first day was Sunday, was 164, then what was the fixed amount (inr) he used to earn on the remaining five days of the weeks? (Assume that the mason worked on all the 30 days of the month).

(a) 140 (b) 150 (c) 165 (d) 170

11. The ratio of the present age of a mother to that of her daughter is 9 : 4. Ten years ago, the ratio of their ages was 7 : 2. What are their present ages?

(a) 54 years, 24 years (b) 45 years, 20 years (c) 54 years, 28 years (d) 36 years, 16 years

12. There are 7 objective type questions in an examination. First four questions have 4 options each and the remaining 3 questions have 5 options each. How many sequences of answers are possible?

(a) 675000 (b) 135000 (c) 32000 (d) 16000

13. The numbers P and Q when divided by a certain divisor leave remainders 32 and 19 respectively. When P + Q is divided by the same divisor, the remainder is 13. What is the divisor?

(a) 51 (b) 19 (c) 38 (d) Cannot be determined

14. Using base BC of ΔABC, another triangle BCD is constructed, such that ΔBAC = ΔBDC and AC is parallel to BD. If the area of ΔABC is 45 cm2, then what is the area of the ΔBDC?

(a) 36 cm2 (b) 45 cm2 (c) 48 cm2 (d) 60 cm2

15. A jar contains 36 liters solution of milk and water in the ratio of 5 : 7 respectively. Out of this, 24 liters solution is taken out and replaced with water. What is the quantity of water (in liters) present in the final solution?

(a) 27 (b) 31 (c) 29 (d) 30

16. The difference between the third and the first term of a geometric progression is 3. If the first term and the common ratio are positive integers, then find the sum of the first three terms of the progression?

(a) 6 (b) 7 (c) 9 (d) 10

17. The first term and the common difference of an arithmetic progression are the same. If the tenth term of the arithmetic progression is 250, then find the sum of its first 10 terms.

(a) 1250 (b) 2750 (c) 1375 (d) 625

18. Ratio of the 15th term to the 4th term of an arithmetic progression is 13 : 6. Find the respective ratio of its first term to the common difference.

(a) 7 : 39 (b) 39 : 7 (c) 7 : 45 (d) 45 : 7

19. In an isosceles triangle ABC, AB = AC. The exterior angle made at vertex A is 140°. Find the angle opposite to the unequal side of the triangle.

(a) 100° (b) 70° (c) 40° (d) Cannot be determined

20. A circle is inscribed in a right-angled triangle with the length of the hypotenuse as 17 cm and the length of one of its side as 8 cm. Find the radius of the circle.

(a) 3 cm (b) 2 cm (c) 5 cm (d) 4 cm