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 Questions for NICL AO Mains.
Directions(Q.1-2): Anuj, Bibhuti and Chandu can lay 432 m of wires together in 8 days. In a day, Chandu can lay as many more meters of wire than Bibhuti as Bibhuti can lay more than Anuj. Chandu’s 5 days of work is equivalent to Anuj’s 7 days of work.
Q1. How many meters of wire can Anuj alone lay in a day?
(a) 9 m
(b) 15 m
(c) 18 m
(d) 21 m
(e) None of these
Q2. In how many days can they lay 465 m of wires if they work together in the following manner: Anuj and Bibhuti work on day 1, Bibhutiand Chanduwork on day 2 ,Chanduand Anujwork on day 3 and so on?
(a) 12 days
(b) 11 days
(c) 13 days
(d) 14 days
(e) None of these
Q3. Traders A and B buy two goods for Rs. 1000 and Rs. 2000 respectively. Trader A marks his goods up by x%, while trader B marks his goods up by 2x% and offers a discount of x%. If both make the same non-zero profit, find x.
(a) 25%
(b) 12.5%
(c) 37.5%
(d) 40%
(e) none of these
Q4. A earns 25% more than B. C earns 25% more than A. A earns 20% more than D. E earns 20% more than A. A, B, C, D, and E earn integer amounts less than Rs. 100. What is the total amount earned by all five of them put together?
(a) Rs. 300
(b) Rs. 245
(c) Rs. 305
(d) Rs. 480
(e) None of these
Q5. Find ∠PRB. Given
I. ∠BPQ = 22∘ and O is the centre of the circle
II. ∠RBP = 54∘ and chord PQ is parallel to AB
(a) Either I or II individually is sufficient
(b) Both I and II together are required
(c) One of the statements alone is sufficient
(d) Need more data
(e) I alone is sufficient
Q6. A boat went down the river for a distance of 20 km. It then turned back and returned to its starting point, having travelled a total of 7 hours. On its return trip, at a distance of 12 km from the starting point, it encountered a log, which had passed the starting point at the moment at which the boat had started downstream. The downstream speed of the boat is
(a) 7 kmph
(b) 13 kmph
(c) 16 kmph
(d) 10 kmph
(e) None of these
Directions(Q.7-8): A company CEO invited nine persons for a business meeting, where the host will be seated at a circular table.
Q7. How many different arrangements are possible, if two invitees X and Y be seated on either side of the host CEO ?
(a) 10080
(b) 10800
(c) 9200
(d) 4600
(e) None of these
Q8. How many different arrangements are possible, if X and Y be seated at any of the positions?
(a) 362880
(b) 342660
(c) 354630
(d) 324520
(e) None of these
Q9. Chunmun picks a letter from the set of English alphabet and finds it to be a vowel. What is the probability that the letter is E?
(a) 1/26
(b) 5/6
(c) 1/5
(d) 5/26
(e) None of these
Q10. Train A, travelling at 84 kmph, overtook train B, traveling in the same direction, in 10 seconds. If train B had been traveling at twice its speed, then train A would have taken 22.5 seconds to overtake it. Find the length of train B, given that it is half the length of train A.
(a) 50 m
(b) 100 m
(c) 200 m
(d) 150 m
(e) None of these
Q11. The average age (in years) of a group of people is twice the number of people in the group. A person, X, leaves the group and the average age is still twice the number of people in the group. Now another person, Y, leaves the group and the average age is still twice the number of people in the group. If the ratio of the ages of X and Y is 19 : 17, then find the average age of the group, if one more person, Z, of age 16 years, leaves the group.
(a) 10 years
(b) 15 years
(c) 16 years
(d) 18 years
(e) None of these
Q12. Two vessels contain a mixture of Spirit and water.In the first vessel the ratio of Spirt to water is 8 : 3 and in the second vessel the ratio is 5 : 1. A 35 litre cask is filled from these vessels so as to contain a mixture of Spirit and water in the ratio of 4 : 1. How many litres are taken from the first vessels?
(a) 11 litres
(b) 22 litres
(c) 16.5 litres
(d) 27.5 litres
(e) None of these
Q13. In a journey of 48 km performed by tonga, richshaw and cycle in that order, the distance covered by the three ways in that order are in the ratio of 8 : 1 : 3 and charges per kilometre in that order are in the ratio of 8 : 1 : 4. If the tonga charges being 24 paise per kilometre, the total cost of the journey is
(a) Rs. 9.24
(b) Rs. 10
(c) Rs. 12
(d) Rs. 28
(e) none of these
Q14. Sohan and Lallan left their house simultaneously. Thirty six minutes later, Sohan met his uncle travelling to their house, while Lallan met the uncle twelve minutes after Sohan. Twenty four minutes after his meeting with Lallan, the uncle rang the door bell at Sohan and Lallan’s house. Assume each person travels at a constant speed. Find the ratio of the speeds of Sohan to Lallan to the uncle.
(a) 1 : 2 : 2
(b) 1 : 3 : 2
(c) 3 : 1 : 3
(d) 2 : 1 : 2
(e) None of these
Q15. In Ramnagar Colony, the ratio of school going children to non-school going children is 5 : 4. If in the next year, the number of non-school going children is increased by 20%, making it 35,400, what is the new ratio of school going children to non-school going children?
(a) 4 : 5
(b) 3 : 2
(c) 25 : 24
(d) 2 : 3
(e) None of these
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