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.
Q1. The average weight of 5 men is decreased by 3 kg when one of them weighing 150 kg is replaced by another person. The new person is again replaced by another person whose weight is 30 kg lower than the person he replaced. What is the overall change in the average due to this dual change?
(a) 6 kg
(b) 9 kg
(c) 12 kg
(d) 15 kg
(e) 20 kg
Q2. A man’s average expenditure for the first 4 months of the year was Rs. 251.25. For the next 5 months the average monthly expenditure was Rs. 26.27 more than what it was during the first 4 months. If the person spent Rs. 760 in all during the remaining 3 months of the year, find approximately what percentage of his annual income of Rs. 30000 he saved in the year.
(a) 84%
(b) 90%
(c) 80%
(d) 75%
(e) 88%
Q3. Akhilesh took five papers in an examination, where each paper was of 200 marks. His marks in these’ papers were in the proportion of 7 : 8 : 9 : 10 : 11. In all papers together, the candidate obtained 60% of the total marks. Then, the number of papers in which he got more than 50% marks is :
(a) 1
(b) 3
(c) 4
(d) 5
(e) None of these
Q4. 4/5th of the voters in Ballary promised to vote for Sonia and the rest promised to vote for Sushma. Of these voters, 10% of the voters who had promised to vote for Sonia, did not vote on the election day, while 20% of the voters who had promised to vote for Sushma did not vote on the election day. What is the total no. of votes polled if Sonia got 216 votes ?
(a) 200
(b) 300
(c) 264
(d) 100
(e) None of these
Q5. At IIM Bangalore, 60% of the students are boys and the rest are girls. Further 15% of the boys and 7.5% of the girls are getting a fee waiver. If the number of those getting a fee waiver is 900, find the total number of students getting 50% concession if it is given that 50% of those not getting a fee waiver are eligible to get half fee concession ?
(a) 3600
(b) 2800
(c) 3200
(d) 3300
(e) None of these
Q6. A manufacturer estimates that on inspection 12% of the articles he produces will be rejected. He accepts an order to supply 22,000 articles at Rs. 7.50 each. He estimates the profit on his outlay including the manufacturing of rejected articles, to be 20%. Find the cost of manufacturing each article.
(a) Rs. 6
(b) Rs. 5.50
(c) Rs. 5
(d) Rs. 4.50
(e) None of these
Q7. A dealer marks articles at a price that gives him a profit of 30%. 6% of the consignment of goods was lost in a fire in his premises, 24% was soiled and had to be sold at half the cost price. If the remainder was sold at the marked price, what percentage profit or loss did the dealer make on that consignment ?
(a) 2%
(b) 2.5%
(c) 3%
(d) 6.2%
(e) None of these
Q8. The ratio of last year income of X, Y and Z is 3 : 4 : 5, while the ratio of their last year income to current year income is 4 : 5, 2 : 3 and 3 : 4 respectively. If their total current year income is Rs. 98,500, then find the present income of Y and Z together.
(a) Rs. 67,000
(b) Rs. 76,500
(c) Rs. 70,000
(d) Rs. 76,000
(e) None of these
Q9. A contractor employs 200 men to build a dam. They finish 5/6 of the work in 10 weeks. Then rain sets in and not only does the work remain suspended for 4 weeks but also half of the work already done is washed away. After the rain, when the work is resumed, only 140 men turn up. The total time in which the contractor is able to complete the work assuming that there are no further disruptions in the schedule is
(a) 25 weeks
(b) 26 weeks
(c) 24 weeks
(d) 20 weeks
(e) None of these
Q10. Ajay, Vijay and Sanjay are employed to do a piece of work for Rs. 529. Ajay and Vijay together are supposed to do 19/23 of the work and Vijay and Sanjay together 8/23 of the work. How much should Ajay be paid ?
(a) Rs. 245
(b) Rs. 295
(c) Rs. 300
(d) Rs. 345
(e) None of these
Q11. X takes 4 days to complete one-third of a job, Y takes 3 days to complete one-sixth of the same work and Z takes 5 days to complete half the job. If all of them work together for 3 days and X and Z quit, how long will it take for Y to complete the remaining work done.
(a) 6 days
(b) 8.1 days
(c) 5.1 days
(d) 7 days
(e) None of these
Q12. A, B and C working together completed a job in 10 days. However, C only worked for the first three days when 37/100 of the job was done. Also, the work done by A in 5 days is equal to the work done by B in 4 days. How many days would be required by the fastest worker to complete the entire work ?
(a) 20 days
(b) 25 days
(c) 30 days
(d) 40 days
Q13. A motorboat went downstream for 28 km and immediately returned. It took the boat twice as long to make the return trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 minutes. Find the speed of the boat in still waster and the speed of the river flow.
(a) 9 km/hr, 3 km/hr
(b) 9 km/hr, 6 km/hr
(c) 8 km/hr, 2 km/hr
(d) 12 km/hr, 3 km/hr
(e) None of these
Q14. Two trains pass each other on parallel lines. Each train is 100 metres long. When they are going in the same direction, the faster one takes 60 seconds to pass the other completely. If they are going in opposite directions they pass each other completely in 10 seconds. Find the speed of the slower train in km/hr.
(a) 30 km/hr
(b) 42 km/hr
(c) 48 km/hr
(d) 60 km/hr
(e) None of these
Q15. If the figure (not drawn to scale) given below, if AL = LC = CT, and ∠TCD = 96°. What is the value of the ∠LTC ?
(a) 32°
(b) 84°
(c) 64°
(d) can’t be determined
(e) None of these
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