Q1. Two trains A and B start moving at same time from P and Q towards each other. Speed of Faster train is 300 km/hr. and speed of slower train is 80% of that of faster train. If both trains meet at point Q after 11.75 hr. Find Ratio of distance covered by slower train to difference between distance covered by faster train and slower train?
(a) 4 : 1
(b) 5 : 1
(c) 3 : 2
(d) 9 : 4
(e) 9 : 5
Q2. A and B together can complete a work in 45 days while B and C together can complete the same work in 60 days, if B is 50% more efficient than C, find ratio of efficiency of A to C ?
(a) 11 : 7
(b) 11 : 3
(c) 11 : 2
(d) 11 : 5
(e) 11 : 6
Q3. Two numbers A and B are in ratio 11 : 19, when 19 is added to A and 11 is added to B the ratio becomes 2 : 3, Find value of (20 + B)?
(a) 154
(b) 144
(c) 164
(d) 133
(e) 153
Q5. If cost of fencing wire is Rs. 13 per meter around a square field and total cost of fencing is Rs. 1872. Find Area of the square field?
(a) 1296 m²
(b) 676 m²
(c) 2116 m²
(d) 1156 m²
(e) 1936 m²
Q6. If a book is marked 40% above the cost price and sold at 12.5% discount. Find Ratio of discount given to profit earned?
(a) 9 : 7
(b) 5 : 4
(c) 4 : 5
(d) 7 : 9
(e) none of these.
Q7. Deepak and Shivam together can complete a work in 6 days. If Deepak starts the work and works for 7 days, then remaining work was completed by Shivam in 4.5 days. Find efficiency of Deepak is what percent of that of Shivam’s?
(a) 50%
(b) 100%
(c) 150%
(d) 160%
(e) 125%
Q8. In how many ways a team of 4 members can be selected out of 5 boys and 4 girls. Team should have at least 2 boys and at least 1 girl?
(a) 25
(b) 50
(c) 100
(d) 125
(e) None of these
Q9. 50% of a mixture containing water and Sulphuric acid in ratio 1 : 2 is mixed with 40% of another mixture containing alcohol and water in ratio 3 : 2 so that ratio of alcohol: water : sulphuric acid becomes 12 : 13 : 10 in the final mixture. If sulphuric acid in initial mixture is 40 liter, Find total quantity of water and alcohol in final mixture?
(a) 25 liters
(b) 50 liters
(c) 75 liters
(d) 15 liters
(e) None of these
Q10. Dharam invest a sum of Rs. 15332 in two schemes for 2 years, one at 5% per annum SI and another at 10% per annum S.I and get total interest of Rs. 2334.8 (after 2 years). Find sum invested at 10% per annum?
(a) Rs. 7316
(b) Rs. 7016
(c) Rs. 8316
(d) Rs. 8016
(e) None of these
Q11. Radius of a circle whose area is 24.64 cm² is what percent of 14 cm length?
(a) 2%
(b) 12%
(c) 25%
(d) 20%
(e) 2.5%
Q12. A invest twice the sum invested by B and withdraws half of sum after 4 months and again withdraws half of the remaining sum after 4 months. Find Ratio of profit share of A to B at the end of a year?
(a) 3 : 4
(b) 7 : 6
(c) 4 : 3
(d) 6 : 7
(e) None of these
Q13. Total Price of a bat and a ball is Rs. 340, when price of bat is increased by 40% and price of ball is decreased by 20% then total price become Rs. 416. Find decreased price of a ball?
(a) Rs. 80
(b) Rs. 90
(c) Rs. 72
(d) Rs. 100
(e) Rs. 96
Q14. Speed of a boat in upstream is 70% of speed of boat in downstream. If speed of current is 6 km/hr. Find time taken by boat in downstream to cover 360 km?
(a) 7 hr
(b) 9 hr
(c) 8 hr
(d) 11 hr
(e) 10 hr
Q15. Ratio of cost price to marked price is 2 : 3 and Ratio of Discount given to profit earned is 3 : 1, find profit percentage.
(a) 37.5%
(b) 25%
(c) 12.5%
(d) 16.67%
(e) 50%
Solutions
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