Dear Readers,
Practice is the key to perfection in Quant, so brush up your skills and test yourself with these 15 questions of Quantitative Aptitude for SBI PO Mains 2017.
Q1. There are five boxes in a cargo hold. The weight of the first box is 200 kg and the weight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box’s weight. The fourth box at 350 kg is 30% lighter than the fifth box. Find the difference in the average weight of the four heaviest boxes and the four lightest boxes.
(a) 51.5 kg
(b) 75 kg
(c) 37.5 kg
(d) 112.5 kg
(e) None of these
Q2. A thief steals four gallons of liquid soap kept in a train compartment’s bathroom from a container that is full of liquid soap. He then fills it with water to avoid detection. Unable to resist the temptation he steals 4 gallons of the mixture again, and fills it with water. When the liquid soap is checked at a station it is found that the ratio of the liquid soap now left in the container to the water in it is 36 : 13. What was the initial amount of the liquid soap is neither used nor augmented by anybodyelse during the entire period?
(a) 7 gallons
(b) 14 gallons
(c) 21 gallons
(d) 28 gallons
(e) None of these
Q3. Mr. A is a computer programmer. He is assigned three jobs for which time allotted is in the ratio of 5 : 4 : 2 (job are needed to be done individually). Thereafter, owing to the lack of interest, he invests only 40%, 30%, 20% of the hours of what was actually allotted to do the three jobs individually. Find how much percentage of the total time allotted is the time invested by A.
(a) 38.33%
(b) 39.4545%
(c) 32.72%
(d) 36.66%
(e) 35.56%
Q4. Tika Chand has a weighing balance in which there is a technical fault. The right pan of his balance measures always 200 g more than its left pan. Tika Chand as usual misutilise this balance in his business. While purchasing the articles he puts goods in the left pan and weight in the right pan while selling he reverse the order i.e., goods in the right pan and weight in the left pan. He uses only 2 kg weight for the measurement and to measure 2n kg weight he measures n times by 2-2 kg but he sells goods at cost price. What is his profit percentage?
Q5. A person bought two clocks. The cost price of one of them exceeds the cost price of the other by 1/4th. He sold the dearer one at a gain of 10% and the other at a gain of 7.5% and thus got Rs. 98 in all as profit. Find the cost price of the cheaper one.
(a) Rs. 40
(b) Rs. 50
(c) Rs. 30
(d) Rs. 60
(e) None of these
Q6. When a bus started from the first stop, the number of male passengers to the number of female passengers was 3 : 1. At the stop 16 passengers get down and 6 more female passengers get into. Now the ratio of the male to female passengers becomes 2 : 1. What was the total number of passengers in the bus when it started from the first stop?
(a) 64
(b) 48
(c) 54
(d) 72
(e) None of these
Q7. The work done by 2 men in a day is equal to the work done by 3 children in a day. The work done by 3 men in a day is equal to the work done by 5 women in a day. It takes 10 days for a man, a woman and a child to complete a job working together. How many days will 2 children working together take to complete the same job?
(a) 30
(b) 15
(c) 17
(d) 34
(e) None of these
Q8. According to a plan, a drilling team had to drill to a depth of 270 metres below the ground level. For the first three days the team drilled as per the plan. However, subsequently finding that their resources were getting underutilised according to the plan, it started to drill 8 metres more than the plan every day. Therefore, a day before the planned date they had drilled to a depth of 280 metres. How many metres of drilling was the plan for each day.
(a) 38 metres
(b) 30metres
(c) 27metres
(d) 28metres
(e) None of these
Q9. A dog sees a cat. It estimates that the cat is 25 leaps away. The cat sees the dog and starts running with the dog in hot pursuit. If in every minute, the dog makes 5 leaps and the cat makes 6 leaps and one leap of the dog is equal to 2 leaps of the cat. Find the time in which the cat is caught by the dog (assume an open field with no trees)
(a) 12 minutes
(b) 15 minutes
(c) 12.5 minutes
(d) Can’t be determined
(e) None of these
Q10. Ram sells onions as part time business. Due to recent shortfall in the supply of onions, he doubles his selling price despite the cost price remains same for him due to a fixed contract. He realizes that his profit has tripled. Find the original profit percent.
Directions (Q. 11-13): In the following questions, calculate quantity I and quantity II, compare them and answer
(a) If quantity I > quantity II
(b) If quantity I < quantity II
(c) If quantity I ≥ quantity II
(d) if quantity I ≤ quantity II
(e) if quantity I = quantity II or no relation can be established
Q11. Quantity I → rate of interest per annum atwhich Rs. 1225 amounts to Rs. 1960 in 10 years at simple interest.
Quantity II → The rate at which certain principal amounts to Rs. 11664 in 2 years and Rs. 12597.12 in 3 years at compound interest.
Q12. Quantity I→ Speed of stream, when a person goes a distance of 44 km upstreamin3 1/7 hour and the same distance downstream in 2 hour.
Quantity II → Speed of stream, when a boat take double time to cover a distance upstream to that while covering the same distance downstream and the speed of the stream is 33 1/3% of the speed of the boat.
Q13. Quantity I → CP of an article, which is sold at 15% discount on marked price of Rs. 450 but still earning a profit of 27.5%
Quantity II → CP of an article which when sold at 32% profit gave a profit of Rs. 12.6 more as compared to the profit earned when it is sold at 27.5% profit.
Directions (Q.14-15): In each of the following questions, one number is missing in the series. You have to understand the pattern of the series and then insert the missing number.
Q14. 119 166 221 284 ? 434
(a) 355
(b) 304
(c) 329
(d) 325
(e) 314
Q15. 947 947 922 1022 797 1197 ?
(a) 472
(b) 702
(c) 604
(d) 572
(e) 482
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