Dear Readers,
Practice is the key to perfection in Quant, so brush up your skills and test yourself with these 15 questions of Twisted Ones Quantitative Aptitude for SBI PO Mains 2017.
Q1. Samuel, a motorist uses 24% of his fuel in covering the first 20% of his total journey (in city driving conditions). If he knows that he has to cover another 25% of his total journey in city driving conditions, what should be the minimum percentage increase in the fuel efficiency for non-city driving over the city driving fuel efficiency, so that he is just able to cover his entire journey without having to refuel? (Approximately)
(a) 39.2%
(b) 43.5%
(c) 45.6%
(d) 41.2%
(e) None of these
Q2. A 14.4 kg gas cylinder runs for 104 hours when the smaller burner on the gas stove is fully opened while it runs for 80 hours when the larger burner on the gas stove is fully opened. Difference in the usage of gas per hour, between the smaller and the larger burner is what percent of the usage per hour of larger burner?
(a) 26.23%
(b) 30%
(c) 32.23%
(d) 23.07%
(e) None of these
Q3. Two people A and B start moving from P and Q that are 200 km apart, towards each other A is on a moped and B on foot. They meet at a point R when A gives B a lift to P and returns to his original path to reach Q. On reaching Q he finds that he has taken 2.6 times his normal time. B on the other hand realizes that he has saved 40 minutes over his normal travel time. Find the ratio of their speeds.
(a) 3 : 2
(b) 4 : 3
(c) 3 : 1
(d) None of these
(e) 4 : 1
Q4. A cyclist left point A for point B and travelled at the constant speed of 25 km/h. When he covered the distance of 8.33 km, he was overtaken by a car that left point A twelve minutes after the cyclist and travelled at a constant speed too. When the cyclist travelled another 30 km, he encountered the car returning from B. Assume that the car did not stop at point B. Find the distance between A and B.
(a) 39.5833 km
(b) 41.0833 km
(c) 60.833 km
(d) 43.33 km
(e) None of these
Q5. 4 men and 16 women can complete piece of work in 10 days. 10 children and 12 women can complete the same work in 12 days. 5 children and 6 men can complete the same work in 15 days. Then in how many days will thrice the work can be completed by 6 men, 8 women and 20 children?
(a) 16 days
(b) 24 days
(c) 32 days
(d) 20 days
(e) None of these
Q6. Two friends bought 2 different land at a price of 4000 and 6000 respectively. The value of first land increases 25% per year and second land increases at 5% per year. At the end of two year they exchange the land. Find profit % of gainer after exchange.
(a) 6.12%
(b) 5.84%
(c) 5.46%
(d) 6.24%
(e) None of these
Q7. On an average, two liters of milk and one liter of water are needed to be mixed to make 1 kg of Milk Shake of type A, and 3 litres of milk and 2 litres of water are needed to be mixed to make 1 kg of Milk Shake of type B. How many kilograms of each type of Milk Shakewas manufactured if it is known that 130 liters of milk and 80 liters of water were used?
(a) 20 of type A and 30 of type B
(b) 30 of type A and 20 of type B
(c) 15 of type A and 30 of type B
(d) 30 of type A and 15 of type B
(e) None of these
Q8. A certain number of trucks were required to transport 60 tons of steel wire from the TISCO factory in Jamshedpur. However, it was found that since each truck could take 0.5 tons of cargo less, another 4 trucks were needed. How many trucks were initially planned to be used?
(a) 10
(b) 15
(c) 20
(d) 25
(e) 24
Q9. A fill pipe can fill a tank in 20 hours, a drain pipe can drain a tank in 30 hours. If a system of n pipes (fill pipes and drain pipes put together) can fill the tank in exactly 5 hours, which of the following are possible values of n (More than one option could be correct)?
(1) 32 (2) 54 (3) 29 (4) 40
(a) 1 and 2 only
(b) 1 and 3 only
(c) 2 and 4 only
(d) 2 and 3 only
(e) None of these
Q10. A car driver, driving in a fog, passes a pedestrian who was walking at the rate of 2 Km/h in the same direction. The pedestrian could see car for 6 minutes and it was visible to him up to a distance of 0.6 km. What was the speed of the car?
(a) 15 Km/h
(b) 30 Km/h
(c) 20 Km/h
(d) 8 Km/h
(e) None of these
Q11. Manish, Rahul and Bharti have some stones with each of the. Five times the number of stones with Rahul equals seven times the number of stones with Manish while five times the number of stones with Manish equals seven times the number of stones with Bharti. What is the minimum number of stones that can be there with all three of them put together?
(a) 113
(b) 109
(c) 93
(d) 97
(e) None of these
Q12. Consider three friends A, B and C who work at différent speeds. When the slowest two work together they take n days to finish a task. When the quickest two work together they take m days to finish a task. One of them, if he worked alone would take thrice as much time as it would take when all three work together. How much time would it take if all three worked together?
Q13. A shopkeeper defrauds both the dealer and the customer by measuring weights incorrectly. When he is purchasing items from the dealer, he takes 20% more then the indicated weight and when he is selling them to the customer, he gives 20% less than the indicated weight.If the price that the shopkeeper charges his customer is the same as what the dealer charges the shopkeeper, then what profit percentage does the shopkeeper make ?
(a) 50%
(b) 30%
(c) 40%
(d) 60%
(e) None of these
Q14. A and B enters into a partnership business with a capital of Rs. 20000 and Rs. 30000 respectively. They decided to share of profit ratio as per capital invested but in the end of 1st year they divided the profit in 3 equal parts and both A and B take 1 part individually. Rest of the profit is lend to C for a year at an interest rate of 50/3% Per year. At the end of 2nd year A received Rs 7000 from C then find the total profit at the end of 1st year.
(a) 84000
(b) 90000
(c) 60000
(d) 78000
(e) None of these
Q15. The Maximum Retail Price (MRP) of a product is 55% above its manufacturing cost. The product is sold through a retailer, who earns 23% profit on his purchase price. What is the profit percentage (expressed in nearest integer) for the manufacturer who sells his product to the retailer? The retailer gives 10% discount on MRP.
(a) 31%
(b) 22%
(c) 15%
(d) 13%
(e) 11%
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