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 pieces of cakes of weights 9/2 lbs, 27/4 lbs and 36/5 lbs, respectively, are to be divided into parts of equal weights. Further, each part must be as heavy as possible. If one part is served to each guest, then what is the maximum number of guests that could be entertained?
(a) 54
(b) 72
(c) 20
(d) 41
(e)None of these

Q2. The normal dosage of a particular medicine is t tablets per day for each patient. A hospital’s current supply of these tablets will last p patients for d days. If the recommended dosage increases by 20% and the number of patients decreases by one-third, then for how many days will the hospital’s supply last ?
(a)5d/4
(b)4d/5
(c)4pt/5
(d) None of these
(e)3pt/5

Q3. A piece of paper is in the shape of a right-angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 (cm square) before the cut, what is the area of the smaller triangle (in cm square) formed after the cut.
(a) 16.565
(b) 15.465
(c) 16.665
(d) 14.365
(e) None of these

Q4. A certain product C is made of two ingredients A and B in the proportion of 2 : 5. The price of A is three times that of B. The overall cost of C is Rs. 5.20 per kg including labour charges of 80 paisa per kg. Find the cost of B per kg ?
(a) Rs. 8.40
(b) Rs. 4.20
(c) Rs. 4.80
(d) Rs. 2.80
(e) None of these

Q5. Three professors Dr. Gupta, Dr. Sharma and Dr. Singh are evaluating answer scripts of a subject. Dr. Gupta is 40% more efficient than Dr. Sharma, who is 20% more efficient than Dr. Singh. Dr. Gupta takes 10 days less than Dr. Sharma to complete the evaluation work. Dr. Gupta starts the evaluation work and works for 10 days and then Dr. Sharma takes over. Dr. Sharma evaluates for next 15 days and then stops. In how many days, Dr. Singh can complete the remaining evaluation work ?
(a) 7.2 days
(b) 9.5 days
(c) 11.5 days
(d) 10 days
(e) None of these

Q6. A piece of work is done by three men A, B, C in 5 days in the following manner:
A works for the whole time, B only on the first two days and C only on the last three days. This work could have been done by B and C in 6 days without involving A. If B and C working together can do as much work in two days as A can do in 3 days, then find, how long will it take for each one to do this work alone ?
(a) 10, 20, 10 days
(b) 7, 9, 11 days
(c) 8, 12, 9 days
(d) 9, 18, 9 days
(e) None of these

Q7. A bath can be filled by the cold water pipe in 10 minutes and by hot water pipe in 15 minutes (independently each). A person leaves the bathroom after turning on both pipes simultaneously and returns at the moment when the bath should be full. Finding, however, that the waste pipe has been opened he now closes it. In 4 minutes more, bath is full. In what time would be the waste pipe empty it ?
(a) 6 minutes
(b) 9 minutes
(c) 3 minutes
(d) 15 minutes
(e) None of these

Q8. Two trains, 100 km apart, travel towards each other on the same track. One train travels at 40 km/hr; the other travels at 60 km/hr. A bird starts flying at a speed of 90 km/hr, at the same location of the faster train. When it reaches the slower train, it turns around and flies in the opposite direction at the same speed. When it reaches the faster train, again it turns around and so on. When the two trains collide, how far has the bird flown ?
(a) 90 km
(b) 45 km
(c) 180 km
(d) 135 km
(e) None of these

Q9. Parameshwaran invested an amount of Rs 12000 at the simple interest rate of 10 per cent annum and another amount at the simple interest rate of 20 per cent per annum. The total interest earned at the end of one year on the total amount invested became 14 per cent per annum. Find the total amount invested.
(a) Rs 22000
(b) Rs 25000
(c) Rs 20000
(d) Rs 24000
(e) None of these

Q10. A man bought a scooter and a car. He sold all of them at 30% profit. Scooter is sold at 10% profit. Cost price of scooter is 1/10 of the cost of car. Marked price of a car is Rs. 4,50,000. If he bought scooter at a discount of 20% on marked price and car at a discount of 10% on marked price then, what will be the ratio of marked price of scooter to the selling price of the car.
(a)25/264
(b)25/268
(c)35/260
(d)34/260
(e) None of these

Directions (Q.11-13): The following questions are accompanied by three statements A, B and C. You have to determine which statement(s) is/are necessary/sufficient to answer the question.

Q11. What is the cost price of a table?
A. By selling the table for Rs. 600 instead of Rs. 500, loss per cent decreases by 10%.
B. When the cost price of the table increases by 10% and then decreases by 10%, it reduces by Rs.10.
C. By selling the table and a chair for Rs. 1500 a net profit of 25% is made.
(a) Only A or B alone
(b) Only B or C alone
(c) Only A and C together
(d) Any two of them together
(e) Either B alone or A and C together are sufficient

Q12. A bag contains balls of only three different colours ie, red, yellow and green. 3 balls are drawn randomly. What is the probability that the balls drawn are of three different colours?
A. The no. of yellow balls is two more than the no. of red balls.
B. The Sum of the no. of yellow and green balls is three times the no. of red balls.
C. The ratio of the no. of red balls to that of green balls is 3 : 4.
(a) A and either B or C
(b) Any two of them
(c) Only A and C together
(d) Question can't be answered even after using all the information
(e) All statements are required

Q13. A boat takes 2 hours to travel from point A to B in still water. To find out is speed upstream, which of the following information is/are required?
A. Distance between point A and B.
B. Time taken to travel downstream from B to A.
C. Speed of the stream of water.
(a) Any two of them are sufficient
(b) Even with all these, the answer cannot be found
(c) Only A and B
(d) Only A and C
(e) None of these

Q14. Quantity 1: Height of the tank if the volume of cylindrical tank is 12320 litres. Its radius and height are in the ratio of 7 : 10 respectively.
Quantity 2: Level of kerosene in the jar. A conical vessel of base radius 2 cm and height 3 cm is filled with kerosene. This liquid leaks through a hole in the bottom and collects in a cylindrical jar of radius 2 cm.
(a) Quantity I > Quantity II
(b) Quantity I < Quantity II
(c) Quantity I ≥ Quantity II
(d) Quantity I ≤ Quantity II
(e) Quantity I = Quantity II or No relation
Q15. A man who swims 48m/minute in still water, swims 200m against the current and 200m with the current. The difference between those two times is 10 minutes.
Quantity 1: speed of current.
Quantity 2: Speed of a man who completes 3 rounds of a circular path of radius 49 m in 14 minutes.
(a) Quantity I > Quantity II
(b) Quantity I < Quantity II
(c) Quantity I ≥ Quantity II
(d) Quantity I ≤ Quantity II
(e) Quantity I = Quantity II or No relation

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