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 IBPS RRBs PO and Clerk 2017.
Q1. A salesman sells two kinds of trousers—cotton and woolen. A pair of cotton trousers is sold at 30% profit and a pair of woolen trousers is sold at 50%. The salesman has calculated that if he sells 100% more woolen trousers than cotton trousers, his overall profit will be 45%. However he ends up selling 50% more cotton trousers than woolen trousers. What will be his overall profit % then?
(a) 35%
(b) 40%
(c) 42%
(d) 30%
(e) None of these
Q2. Rahul, Vinod and Ravi have a total of 80 coins among them. Rahul triples the number of coins with the others by giving them some coinsfrom his own collection. Next, Vinod repeats the same process. After this Vinod now has 20 coins. Find the number of coins Vinod had at the beginning.
(a) 22
(b) 25
(c) 16
(d) 20
(e) None of these
Q3. A shopkeeper gives two successive discounts of 10 and 20% on a marked price of Rs. 5000 for a bicycle. He had to give a further discount of 20% of the cost price on his new selling price, as a result of which he made neither a profit nor a loss. Find the cost price of the bicycle.
(a) Rs. 3000
(b) Rs. 3500
(c) Rs. 4000
(d) Rs. 2500
(e) None of these
Q4. Two pipes A and B can fill up a half full tank in 1.2 hours. The tank was initially empty. Pipe B was kept open for half the time required by pipe A to fill the tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself. It was then found that the tank was 5/6 full. The least time in which any of the pipes can fill the tank fully is
(a) 4.8 hours
(b) 4 hours
(c) 3.6 hours
(d) 6 hours
(e) None of these
Q5. Pipe A can fill an empty tank in 30h, while pipe B can fill it in 45 h. Pipe A and B are opened and closed alternatively, i.e., first pipe A is opened and then B, again A and then B and so on for 1 hour each time without any time gaps. In how many hours will the tank be filled when it was empty, initially?
(a) 32 hrs
(b) 40 hrs
(c) 36 hrs
(d) 30 hrs
(e) None of these
Q6. A tank is fitted with 8 pipes, some of them that fill the tank and other pipes are meant to empty the tank. Each pipe that fills the tank can fill it in 8h, while each of those that empty the tank can empty it in 6 h. All the pipes are kept open. When the tank is full, it will take exactly 6 hours for the tank to empty. How many pipes are filling the tank?
(a) 4
(b) 3
(c) 6
(d) 2
(e) None of these
Q7. Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, 1980 cm apart, towards each other in opposite directions. Both of them make same number of revolutions per second. If both of them meet after 10s, find the speed of the smaller wheel.
(a) 32cm/s
(b) 42cm/s
(c) 56cm/s
(d) 66cm/s
(e) 44cm/s
Q8. There is a ring road connecting points A,B, C and D. The road is in a complete circular form but having several approach roads leading to the centre. Exactly in the center of the ring road there is a tree which is 20 Km from Point A on the circular road. You have taken a round of circular road starting from point A and finish at the point after touching points B,C and D. You, then drive 20 Km interior towards the tree from point A and from there , reach somewhere in between B and C on the ring road. How much distance do you have to travel from the tree to reach the point between B and C on the ring road?
(a) 35 km
(b) 42 km
(c) 20 km
(d) 25 km
(e) None of these
Q9. Shyam and Vyom walk up an escalator (moving stairway). The escalator moves at a constant speed. Shyama takes three steps for every two of Vyom’s steps. Shyam gets to the top of the escalator after having taken 25 steps, while Vyom takes only 20 steps to reach the top. If the escalator were turned off, how many steps would they have to take to walk up?
(a) 40
(b) 50
(c) 45
(d) 35
(e) 60
Q10. A train approaches a tunnel AB. Inside the tunnel a cat located at a point that is three-eighths of the distance AB measured from the entrance A. When the train whistles, the cat runs. If the cat moves to the entrance of the tunnel, A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. The speed of the train is greater than the speed of the cat by what order?
(a) 4:3
(b) 4:1
(c) 5:2
(d) 1:4
(e) None of these
Q11. A man by walking diametrically across a circular grass plot finds that it has taken him 45 seconds less than if he had kept to the path round the outside. If he walk at 90m/min, what is the circumference of the grass plot?
(a) 381.43 m
(b) 371.83 m
(c) 350 m
(d) 369 m
(e) None of these
Q12. Anjali leaves the studio everyday at 6.00 pm to meet Mohit at 7.00 pm at point X stopping anywhere along the way. One day she left the studio at the usual time i.e., 6.00 PM and travelled the first half of the distance at 3/4th of her original speed. At what speed must she travel the second half of the distance to reach the point X on time?
(a) 1.2 times of her speed
(b) same speed
(c) 2 times of her speed
(d) 3/2 times of her speed
(e) None of these
Q13. Two motorists Anil and Sunil are practicing with two different sports cars; Ferrari and Maclarun, on the circular racing track, for the car racing tournament to be held next month. Both Anil and Sunil start from the same point on the circular track. Anil completes one round of the track in 1 minutes and Sunil takes 2 minutes to complete a round. While Anil Maintains same speed for all the rounds, Sunil halves his speed after completion of each round. How many times Anil and Sunil will meet between the 6th round and 9th round of Sunil.
(a) 372
(b) 345
(c) 382
(d) 392
(e) None of these
Q14. At his normal speed, Ramesh can travel 18 km downstream in a fast flowing stream in 9 hrs less than what he takes to travel the same distance upstream. The downstream trip would take one hour less than what the upstream trip would take, provided he doubles his rate of rowing. What is the speed of the stream in kmph?
(a) 62/3
(b) 81/3
(c) 8√10/3
(d) 912
(e) None of these
Q15. Three vessels whose capacities are as 5 : 3 : 2 are completely filled with milk mixed with water. The ratio of milk to water in the mixture of vessels are as 3:2, 2:1, and 3:1 respectively. Find the percentage of water in the new mixture obtained when one-third of first, half of second and two-thirds of the third vessel is taken out and mixed together?
(a) 66.66%
(b) 50%
(c) 16.66%
(d) 33.33%
(e) None of these
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