# Quantitative Aptitude Questions for NICL AO Prelims

**Dear Readers,**

**Q1. There are two alloys of gold, silver and platinum. The first alloy is known to contain 40 percent of platinum and the second alloy 26 percent of silver. The percentage of gold is the same in both alloys. Having alloyed 150 kg of the first alloy and 250 kg of the second, we get a new alloy that contains 30 percent of gold. How many kilogram of platinum is there is the new alloy?**

(a) 170 kg

(b)175 kg

(c)160 kg

(d)165 kg

(e) None of these

**Q2. Two litres of mixtures of wine and water contain 12% water. They are added to 3 litres of another mixture containing 7% water, and half a litre of water in then added to whole. What is the percentage of water in resulting concoction?**

(a) 17(2/7)%

(b) 15(7/11)%

(c) 17(3/11)%

(d) 16(2/3)%

(e) None of these

**Q3. The weight of three heaps of gold are in the ratio 5 : 6 : 7. By what fractions of themselves must the first two be increased so that the ratio of the weights may be changed to 7 : 6 : 5?**

(a) 24/25,2/5

(b) 48/50,4/5

(c) 48/50,3/5

(d) 24/25,3/7

(e)None of these

**Q4. A and B each borrowed equal sums for 3 years at the rate of 5% simple and compound interest respectively. At the time of repayment B has to pay Rs. 76.25 more than A. The sum borrowed and the interest paid by A (in Rs.) is:**

(a) Rs. 10,000, Rs. 1,500

(b) Rs. 11,000, Rs. 1,100

(c) Rs. 10,000, Rs. 1,400

(d) Rs. 9,000, Rs. 200

(e) None of these

**Q5. The ratio of the prices of two houses A and B was 4 : 5 last year. This year, the price of A is increased by 25 per cent and that of B by Rs. 50,000. If their prices are now in the ratio 9 : 10, the price of A last year was:**

(a) Rs. 3,60,000

(b) Rs. 4,50,000

(c) Rs. 4,80,000

(d) Rs. 5,00,000

(e) None of the above

**Q6. 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 kilometers 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 per month due to the increase in the price of petrol (to the nearest rupee)?**

(a) Rs. 270

(b) Rs. 261

(c) Rs. 276

(d) Rs. 272

(e) None of these

**Q7. A man buys milk at Rs. 8.5 per litre and dilutes it with water. He sells the mixture at the same rate and thus gains 11.11%. Find the quantity of water mixed by him in every litre of milk.**

(a) 0.111 litres

(b) 0.909 litres

(c) 0.1 litre

(d) 0.125 litres

(e) None of these

**Q8. A 20 percent gain is made by selling the mixture of two types of ghee at Rs. 480 per kg. If the type costing 610 per kg was mixed with 126 kg of the other, how many kilograms of the former was mixed?**

(a) 138 kg

(b) 34.5 kg

(c) 69 kg

(d) Cannot be determined

(e) None of these

**Q9. A bag contains a total of 95 coins of Rs. 1, 50p and 25p denominations. Find the total number of coins of Re 1 if there are a total of 50.5 rupees in the bag and it is known that the number of 25 paise coins are33.33% more than the number of 1 rupee coins.**

(a) 56

(b) 25

(c) 18

(d)20

(e) None of these

**Q10. According to a plan, a team of woodcutters decided to harvest 216 m^3 of wheat in several days. In the first three days, the team fulfilled the daily assignment, and then it harvested 8 m^3 of wheat over and above the plan everyday. Therefore, a day before the planned date, they had already harvested 232 m^3 of wheat. How many cubic metres of wheat a day did the team have to cut according to the plan?**

(a) 12

(b) 13

(c) 24

(d) 25

(e) None of these

**Q11.One fashion house has to make 810 dresses and another one 900 dresses during the same period of time. In the first house, the order was ready 3 days ahead of time and in the second house, 6 days ahead of time. How many dresses did each fashion house make a day if the second house made 21 dresses more a day than the first?**

(a) 54 and 75

(b) 24 and 48

(c) 44 and 68

(d) 04 and 25

(e) None of these

**Q12.There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 31 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess?**

(a) Rs. 633.23

(b) Rs. 583.3

(c) Rs. 623.3

(d)Rs. 632

(e) None of these

**Q13. Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60 a child was born during the same year. The current average age of this eight-member joint family is nearest to:**

(a) 22 years

(b) 21 years

(c) 45 years

(d)24 years

(e)23 years

(e) None of these

**Q14.A boy was asked of his age by his friend. The boy said, ‘The number you get when you subtract 25 times my age from twice the square of my age will be thrice your age.’ If the friend’s age is 14, then the age of the boy is:**

(a) 28 years

(b) 21 years

(c) 14 years

(d) 25 years

(e) None of these

**Q15.The average age of an adult class is 40 years. Twelve new students with an average age of 32 years join the class, thereby decreasing the average age of the class by 4 years. The original strength of the class was:**

(a) 10

(b) 11

(c) 12

(d) 15

(e) None of these