CAT Sample Question Paper : –
CAT Sample Question Paper for practice test :
SECTION A- MATHEMATICAL ABILITY
Q1.The number whose 30% is 225 is
Q2. A man spends 85% of his income. If his saving is 37.50, then his salary should be
d) none of these
Q3. A’s salary is 20% lower than B’s salary. By how much B’s salary be higher than that of A?
Q4. Which is more favourable for a buyer, a series of successive discount of 30%,25%,5% or 25%,20%,15% ?
c) both are equally favourable
d) depends on the price of a product
Q5. Two candidates contested an election. At the election 10% of people on the voter list did not vote, and 60 votes recorded were rejected as illegal. The majority of the successful candidate was 308 and it was found that he had been supported by 47% of the whole number on the voter’s list. What was the number of legal votes recorded by each candidate?
Q6. The length and breadth of a rectangular plot of land are in the ratio 5 : 3. The owner spent Rs. 3000 for surrounding it from all the sides at the rate of Rs. 7.51 m. What is the difference between the length and breadth of the plot?
Q7. Three persons A, B and C finished a piece of work. A worked at it for 5 days, B for 7 days and C for 9 days. The daily wages of A, B and C were in the proportion of 4 : 3 : 2 respectively and their total earning amounted to Rs. 118. What were the daily wages of B?
a) Rs. 4
b) Rs. 7
c) Rs. 6
d) Rs. 8
Q8. A truck carrying 6 dozen mangoes meets with an accident, as a result of which some mangoes get smashed and others remain intact. Which of the following options cannot be the ratio of smashed mangoes to intact mangoes?
a) 1 : 3
b) 5 : 7
c) 6 : 5
d) 11 : 7
Q9. The amount of work in a factory increased by 150%. By how much is it necessary to increase the number of workers if productivity had gone up by 25%?
Q10. The working efficiency of three persons A, 8 and C is in the ratio 1 : 3 : 5 and their wages in rupees per unit are in the ratio 3 : 5 : 7 per day respectively. A, B and C get Rs. 4,29,300, if they start the work together and finish the work together. How much amount will A get?
a) Rs. 1,21,500 b) Rs. 1,43,100 c) Rs. 24,300 d) Rs. 2,83,500
Q11. A square is converted into a rectangle by increasing its length by 20 % and decreasing its width by 20%. Which of the following statements is TRUE?
a) Area of rectangle = Area of square
b) Area of rectangle = 96% of Area of square
c) Area of square = 96% of Area of rectangle
d) None of these
Q12. A begins business with Rs. 4200 and is joined by B afterwards with Rs. 7200. When did B join if the profits at the end of the year are divided equally?
a) 5 months hence
b) 7 months hence
c) 8 months hence
d) None of these
Q13. Amrish borrowed Rs. 900 at 4% p.a. & Rs. 1100 at 5% p.a. for the same duration. He had to pay Rs. 364 in all as interest. The duration for which the money borrowed is
a) 2 years
b) 6 years
c) 4 years
d) 8 years
Q14. The amount obtained on Rs. 8000 at 5% p.a. for 3 years when interest is compounded yearly, is
a) Rs. 9200
b) Rs. 9261
c) Rs. 8750
d) Rs. 11296
Q15. A, B, C and D enter into a partnership. A subscribes 1/3 of the capital, B 1/4, C 1/5 and D the rest. The share of D in « profit of Rs. 2460 is
a) Rs. 533
b) Rs. 492
c) Rs. 615
d) Rs. 820
Q16. Ram, Tony and Khilona Singh entered into a partnership. Ram invested Rs. 6400 for 10 months, Tony invested Rs. 8100 for 8 months and Khiiona Singh invested Rs. 9200 for 6 months. The difference in share of Tony and Khilona Singh in a profit of Rs. 35259 is
a) Rs. 1389.6
b) Rs. 1686.3
c) Rs. 153.3
d) Rs. 1586
Q17. A sum of money is put at C.I. for 2 years at 20%. It would fetch Rs. 48.20 more if the interest were payable half yearly. The sum is
a) Rs. 2500
b) Rs. 1000
c) Rs. 2000
Q18. Mahajan lent out Rs. 9 on the condition that the loan is payable in 10 months by 10 equal installments of Re. 1 each. The rate of interest per annum was
d) None of these
Q19. What are the factors of 5450?
Q20. What is the unit’s digit of 3439^82^101?
Q21. X=4,Y=5 Then find the difference between y^3-3x and x^3-3y?
Q22. Find the common factor of 625,45,360?
Q23. We have ab=104, a+b=21, find la-bl?
Q24. Triangles ABC and XYZ have equal angles (A=X,B=Y,C=Z). if side AB=5,side XY=7.5 and side BC=4, find side YZ?
Q25. Find s if t=5 and 9^t=27*3(s+2)?
Q26. In which year is the electricity produced from ‘other sources’ ,as a percentage of total electricity produced in that year,the highest?
Q27. The highest power of 3 that divides 101112131……………..6869 ?
Q28. In how many ways can a committee of five persons be formed from 6 men and 5 women, such that a committee have more men then women?
Q29. Find the remainder when [(1!)^3 + (2!)^3 + (3!)^3……………(20!)^3] divided by 1000?
Q30. The sum of the squares of lengths of a sides of a triangle is 72. If two of the medians of a triangle are perpendicular to each other, find the sum of squares of lengths of these medians
d) Cannot be determined