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. Three Maths classes : X, Y and Z take can algebra test.
The average score in class X is 83.
The average score in class Y is 76.
The average score in class Z is 85.
The average score of all students in classes X and Y together is 79.
The average score of all students in classes Y and Z together is 81.
What is the average for all the three classes?
(a) 81
(b) 81.5
(c) 82
(d) 84.5
(e) 80.5
Q2. There is a vessel holding 40 litres of milk, 4 litres of milk is initially taken out form the vessel and 5 liters of water is poured in. After this, 5 litres of the mixture from this vessel is replaced with 6 liters of water. And finally 6 liters of mixture from this vessel is replaced with 7 litres of water. How much of the milk (in litres) is there is the vessel now?
(a) 22.42
(b) 27.09
(c) 24.72
(d) 29.42
(e) 14.5
Q3. In every month Ravindra consumes 25 kg rice and 9 kg wheat. The price of rice is 20% of the price of wheat and thus be spends total Rs 350 on the rice and wheat per month. If the price of wheat is increased by 20% then what is the percentage reduction of rice consumption for the same expenditure of Rs 350? Given that the price of rice and consumption of wheat is constant:
(a) 36%
(b) 40%
(c) 25%
(d) 24%
(e) 15%
Q4. The petrol prices shot up by 7% as a result of the hike in the price of crudes. The price of petrol before the hike was Rs 28 per litre. Vawal travels 2400 kilometres every month and his car gives a mileage of 18 kilometres to a litre. Find the increase in the expenditure that Vawal has to incur due to the increase in the price of petrol (to the nearest rupee)?
(a) Rs 270
(b) Rs 262
(c) Rs 276
(d) Rs 272
(e) Rs 278
Q5. An egg seller sells his eggs only in the packs of 3 eggs, 6eggs, 9 eggs, 12 eggs etc., but the rate is not necessarily uniform. One day Raju (Which is not the same egg seller) purchased at the rate of 3 eggs for a rupee and the next hour he purchased equal number of eggs at the rate of 6 eggs for a rupee. Next day he sold all the eggs at the rate of 9 eggs for Rs 2. What is the percentage profit or loss?
(a) 10% loss
(b) 11.11% loss
(c) 3% loss
(d) 2.5% profit
(e) 15% profit
Q6. Kadbury offers a packet of 5 chocolates at the list price of 4 chocolates and on purchasing 19 such packets gives one packet absolutely free. A trader receives 20 packets of the chocolates in the offer and sells each chocolate at its list price. What is his net percentage profit?
(a) 24%
(b) 31.58%
(c) 35%
(d) 53.75%
(e) 34.5%
Q7. Two vessels contain mixtures of milk and water in the ratio of 8 : 1 and 1 : 5 respectively. The contents of both of these are mixed in a specific ratio into a third vessel. How much mixture must be drawn from the second vessel to fill the third vessel (Capacity 26 gallons) completely in order that the resulting mixture may be half milk and half water?
(a) 12 gallons
(b) 14 gallons
(c) 10 gallons
(d) 13 gallons
(e) 20 gallons
Q8. Progressive express left for New Delhi, increasing its speed in each hour. It started its journey from Lucknow, but after four hours of its journey it met with accident. Its speed in the fourth hours was 7/5times that of the third hour and the speed in the third hour was 10/7 times that of the second hour and in the second hour it was 7/5 times that of the first hour. If it would have been travelled with the half of the speed that of the third hour, then it would have gone 160 km less in the same time (i.e. in four hours). The average speed of the train during the journey of 4 hours was:
(a) 50 km/hr
(b) 90 km/hr
(c) 80 km/hr
(d) 108 km/hr
(e) 75 km/hr
Q9. Two people started simultaneously form points A and B towards each other. At the moment the person who started from A had covered two-thirds of the way, the other person had covered 2 km less than half the total distance. If it is known that when the person who started from B had covered ¼ of the way, the other person was 3 km short of the mind point. Find the distance between A and B. The speeds of the two people were constant.
Q10. Three persons Amar, Akbar and Anthony invested different amounts in a fixed deposit scheme for one year at the rate of 12% per annum and earned a total interest of Rs 3,240 at the end of the year. If the amount invested by Akbar is Rs 5000 more than the amount invested by Amar and the invested by Anthony is Rs 2000 more than the amount invested by Akbar, what is the amount invested by Akbar?
(a) Rs 12,000
(b) Rs 10,000
(c) Rs 7000
(d) Rs 5000
(e) Rs 2780
Q11. Two pipes can separately can fill a tank in 20 hrs and 30 hrs respectively. Both the pipes are opened to fill the tank but when the tank is 1/3rdfull, a leak develops in the tank through which 1/3rd of the water supplied by both the pipes leak out. What is the total time taken to fill the tank.
(a) 16 hr
(b) 18 hr
(c) 24 hr
(d) 15 hr
(e) 19 hr
Q12. A started a work and left after working for 2 days. Then B was called and he finished the work in 9 days. Had A left the work after working for 3 days, B would have finished the remaining work in 6 days. In how many days B can finish the whole work.
(a) 12 days
(b) 18 days
(c) 15 days
(d) 14 days
(e) 16 days
Q13. Mr. Ram kumar started a business, investing Rs. 25000 in 2012. In 2013 he invested an additional amount of Rs. 10000 and Mr. Anuj joined him with an amount of Rs. 35000. In 2014, Mr. Ram Kumar invested another additional amount of Rs 10000 and Mr. Sharad joined them with an amount of Rs. 35000. What will be Anuj’s share in the profit of Rs 150000 earned at the end of three years from the start of the business in 2012?
(a) Rs 70000
(b) Rs 50000
(c) Rs 45000
(d) Rs 75000
(e) None of these
Q14. A train X departs from station A at 11.00 am for station B, which is 180 km away. Another train Y departs from station B at 11.00 am for station A. Train X travels at an average speed of 70 kms/hr and does not stop anywhere until it arrives at station B. Train Y travels at an average speed of 50 kms/hr, but has to stop for 15 minutes at station C, which is 60 kms away from station B enroute to station A. Ignoring the lengths of the train, what is the distance, to the nearest km, from station A to the point where the trains cross each other?
(a) 112
(b) 118
(c) 120
(d) 140
(e) None of these
Q15. 2n years ago, the age of Raju was four times that of his son and n years ago, the age of Raju was thrice that of his son. If n years later, the sum of the ages of Raju and his son will be 80 years, then the difference in the ages of Raju and his son is
(a) 20 years
(b) 40 years
(c) 24 years
(d) 30 years
(e) None of these
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