Quantitative Aptitude

Q1. For two consecutive years, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the second year is Rs. 42000 and my expenses in the first year in Rs. 21000, my total savings for the two-year is
(a) Rs. 5,000
(b) Rs. 10,000
(c) Rs. 12,000
(d) Rs. 15,000
(e) None of these

Q2. Two-third of the boys and three-fourth of the girls of a school participate in a function. If the number of participating students is 550, out of which 150 are girls, what is the total number of students in the school?
(a) 500
(b) 550
(c) 600
(d) 750
(e) 800

Q3. Rupesh was thrice as old as Ravi 6 years back. He will be 5/3 times as old as Ravi 6 years hence. How old is Ravi today?
(a) 24 years
(b) 18 years
(c) 12 years
(d) Cannot be determined
(e) None of these

Q4. 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24 days. If 8 more cows and 9 more buffaloes are brought in, how long will the fodder last?
(a) 20 days
(b) 18 days
(c) 16 days
(d) 21 days
(e) None of these

Q5. Ajay opened a shop investing Rs. 30000. Anju joined him 2 months later, investing Rs. 45000. They earned a profit of Rs. 54000 after completion of one year. What will be Anju’s share of profit?
(a) 28000
(b) 20000
(c) 31000
(d) 30500
(e) None of these

Q6. On sports day, if 30 children were made to stand in a column, 16 columns could be formed. If 24 children were made to stand in a column, how many columns could be formed?
(a) 20
(b) 21
(c) 22
(d) 18
(e) None of these

Q7. On a test consisting of 30 questions. Number of wrong answers is 50 percent less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?
(a) 3:2
(b) 4:1
(c) 5:1
(d) 2:1
(e) None of these

Q8. A and B invested the same capital in a business. At the year-end they share the profit in the ratio 3:2. If A has invested his capital for whole year, for how many months B has invested his capital?
(a) 6 months
(b) 8 months
(c) 9 months
(d) 5months
(e) None of these

Q9. Anshu and Brawn have incomes in the ratio 5:3. The expenses of Anshu, Brawn and Chen are in the ratio 8:5:3. To find the income of Anshu, which of the following information(s) is/are sufficient?
(A) Chen spends Rs. 2000
(B) Brawn saves Rs. 700
(C) Brawn spends Rs. 5000
(a) Only A and B together are sufficient
(b) Only B and C together are sufficient
(c) A, B and C together are necessary
(d) Either A and B together or C alone sufficient
(e) Either A and B together or B and C together are sufficient
          
Q10. Manish and Satish were in partnership business for several years. At the end of 1997, a profit of Rs. 35000 was made by the two. To find out the share of Manish which of the following statements is/are sufficient?
A. Manish invested Rs. 35000 at the beginning of the year 1997.
B. Satish withdrew his capital at the end of the month of July.
C. Satish get 1/5 of his investment as share in profits.
(a) A and B together are sufficient
(b) B and C together are sufficient
(c) A and C together are sufficient
(d) All the three even together are not  sufficient
(e) All the three together are necessary

Q11. What is the total profit made in the business?
A. Hari and Vijay invested Rs. 20,000 and Rs. 30,000 respectively in a business. These are the only investors in business.
B. They decided 75% of their profit should be divided equally.
C. The remaining profit is divided in the ratio of investment.
(a) A alone is sufficient
(b) A and B together are sufficient
(c) A and C together are sufficient
(d) All are necessary
(e) All the three even together are not sufficient

Q12. D, K and A can do a work in 5, 15 and 35 days respectively. They get an amount of Rs. 1054 for finishing the work working together. What is the share of K in that amount?
(a) Rs. 242
(b) Rs. 324
(c) Rs. 238
(d) Rs. 245
(e) None of these

Q13. The ratio of the rate of flow of water in pipes varies inversely as the square of the radius of the pipes. What is the ratio of the rates of flow in two pipes of diameters 2 cm and 4 cm?
(a) 1:2
(b) 2:1
(c) 1:8
(d) 4:1
(e) None of these

Q14. Half the girls and one-third of the boys of a college reside in the hostel. What fractional part of the student body is hostelries if the total number of girls in the college in 100 and is ¼ of the total strength?
(a) 2/5
(b) 5/12
(c) 1/5
(d) 3/8
(e) 2/7

Q15. Given that 24 carat gold is pure gold; 18 carat gold is 3/4 gold and 20 carat gold is 5/6 gold, the ratio of the pure gold in 18 carat gold to the pure gold in 20 carat gold is
(a) 5:8
(b) 9:10
(c) 15:24
(d) 8:5
(e) 9:11

SOLUTIONS