Quantitative Aptitude For NIACL AO Prelims: 18th January 2019

Dear Aspirants,

Directions (1-2): Compare the value of 2 quantities given in the question and give answer 

Q1. Quantity 1: Difference between selling price of both items. A merchant buys two items for Rs 7500. One item he sells at a profit of 16% and the other item at 14% loss. In the deal the merchant makes neither any profit nor any loss.
Quantity 2: Cost price of article B. The cost price of article A is Rs. 200 more than the cost price of article B. Article A was sold at 10% loss and article B was sold at 25% profit. Overall profit percentage after selling both the articles is 4%.

Solution:

Q2. Quantity 1: Distance covered by ‘A’ and ‘B’. Two persons A and B started running from the same point in same direction and reaches at another point. The ratio of their speeds is 3 : 4, the difference of time taken by them is 45 minutes and the sum of their speeds is 28 kmph.
Quantity 2: Per kg selling price of remaining wheat to get an overall profit of 25%. A shopkeeper bought 30 kg. of wheat at the rate of Rs. 45 per kg. He sold 40 per cent of the total quantity at the rate of Rs. 50 per kg.

Solution:

Q3. One type of liquid contains 30% of milk, the other contains 45% of milk. A container is filled with 3 parts of the first liquid and 7 parts of the second liquid. The percentage of milk in the mixture is:

Solution:

Q4. A shopkeeper gave an additional 15 per cent concession on the reduced price after giving 20 per cent standard concession on an article. If Arpit bought that article for Rs. 1,360, what was the original price?

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Q5. In how many ways the word ‘SPECIES’ can be arranged such that P and C are always at two ends?

Solution:

Directions (6 – 8): Data given below about total number of students doing B. TECH from two IIT’s and distribution of students under different stream. Read data carefully and answer the questions: 

Total number of students doing B. TECH from IIT Mumbai are 20% more than total students doing B. TECH from IIT Delhi. Out of total students doing B. TECH from IIT Mumbai 40% in CS stream, 20% in Mechanical stream and remaining are in Electrical stream. Total students in CS stream in IIT Mumbai are 140% more than Total students in CS stream in IIT Delhi. Total students in Mechanical stream in IIT Delhi are two times of Total students in Mechanical stream in IIT Mumbai. Remaining 240 students are in Electrical stream in IIT Delhi.

Q6. Total Students in CS stream in IIT Mumbai are what percent less than total students in Mechanical & Electrical stream together in IIT Delhi?

Solution:

Q7. Find the difference between average number of students in CS streams in both IIT and average number of students in Electrical stream in both the IIT’s?

Solution:

Q8. Find average number of students doing B. TECH from IIT Mumbai and from IIT Delhi?

Solution:

Q9. The surface area of a sphere is 423.5 cm less than total surface area of a hemisphere. If Ratio between radius of hemisphere and sphere is 3 : 2, then find the radius of hemisphere?

Solution:

Q10. A bottle is full of wine. One-third of it is taken out and then an equal amount of water is poured into the bottle to fill it. The operation is done four times. Find the final ratio of wine and water in the bottle.

Solution:

Directions (11 - 15): What approximate value should come in the place of question (?) marks in the given questions: 

Q11. 55.01 × 47.98- ? % of 7999.93 = (11.89)³ + 68.11 × 4.01

Solution:

Q12.

Solution:

Q13.

Solution:

Q14. 44.03 × 24.98 + 48.03 × 14.99 + ? = 32.07% of 6000.09

Solution:

Q15.

Solution: