HomeQuantitative TechniquesMixed Bag Questions for Quantitative Section of CLAT 2022

# Mixed Bag Questions for Quantitative Section of CLAT 2022

Mixed Bag Questions for Quantitative Section of CLAT 2022

Mixed Bag Questions for Quantitative Section of CLAT 2020

• If the average of 21 observations is 70 and the average of first 10 observation 65 and the average of last 10 observation is 75, find the 11th​​ observation.

• The average age​​ of a​​ family of 4 persons is 25. If one of the member dies at the age of 20 years, find the average age of the family after​​ 5 years.

• Calculate the average of prime numbers between 1 to 20?

• The sum of Rs. 9000 was borrowed in 2005 at 12% interest rate compounded annually for. Find the interest amount in 2017.

• The difference between SI and CI on a sum of money lent at the interest rate of 10% for two​​ years is Rs. 200. Calculate the principal amount.

• Anil invested​​ (at simple interest)​​ a certain amount of money at 15% p.a. for 3 years and the same amount of money​​ at 25% per annum for 2 years. Together, it yielded him an interest of Rs. 1000. Find the amount invested.

• To earn a profit of 35% on one piece of jewellery costing Rs. 15600, at what price the​​ jeweller​​ should sell it?

• Jalwa bought two artefacts at Rs. 1700 each and sold one at the loss of 15% and other at the profit of 20%. Calculate the total profit percent

• The average speed of a truck is two fifth the average speed of a car covering 2300​​ kilometres​​ in 20 hours.​​ Calculate​​ the speed of the truck.

• A train which is 300 m long passes a 500 m long platform in 90 seconds. What is speed of the train?

• Calculate the Profit percentage if a cell phone was bought at Rs. 50000 and sold at Rs. 80000?

• If 3500 is 75% more than 2000, by how much percentage is 2000 less than 3500?

• If Sukriti bought a radio at Rs. 8000 and 1000 was spent on its repair and then sold at Rs. 11000. Calculate the gain percentage.

DO IT YOURSELF

A shopkeeper gives a discount of 20% on the marked price. If the marked price is 30% more than the Cost price, calculate the profit percentage.

Calculate the difference between Simple Interest​​ and compound Interest on Principal​​ amount of 30, 000 borrowed at the interest rate of 8% for 2 years.

• Sum of 21 observations (x) = Sum of first 10 observations + sum of last 10 observations + 11th ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ observation.

X = 21* 70 = 1470

Sum of first 10 terms = 10*65 = 650

Sum of last 10 terms = 10*750

Therefore,

11th​​ observation = 1470 – 650 – 750​​

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 70

• Sum of age of a family = 25*4 = 100

​​ ​​ ​​ ​​ ​​ ​​ ​​​​ New sum of the age = 80

Sum of the ages after 5 years in the family of 3 = (80+15)/3 = 95/3

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 31.6 years

• Sum of prime numbers between 1 to 20 = ​​ 77

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ Average = 77/8 = 9.6

• A = 9000[1+(12/100)]2

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 9000[28/25]2

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 11289. 6

CI = 11289.6 – 9000​​ = Rs. 2289.6

• SI = PRT/100

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 20P/100

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = P/5

CI = A- P

​​ ​​ ​​ ​​ ​​​​ = {P [1+ (r/100)​​ n​​ – P

​​ ​​ ​​ ​​ ​​ ​​​​ = (121 P/100) – P

​​ ​​ ​​ ​​ ​​ ​​​​ =21P/100

21P/100 – P/5 = 200

P/100 = 200

P = Rs. 20000

• Let the amount invested be Rs. x.

As per the question,

SI1​​ + SI2​​ = P/100 ( R1T1​​ + R2T2​​ )

​​ 1000 = P/100 (45+ 50)

1000 =​​ 95P/100

P = (1000*100)/95

​​ ​​ ​​​​ = 1052.6 (approx.)

• ​​ Selling Price = Cost Price + Profit

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 15600 + (35/100)*15600

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 15600 + 5460

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = Rs. 21060

• ​​ Loss = (15/100)*1700

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = Rs. 255

Profit​​ = (20/100)*1700

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 340

Overall Profit = Rs. 85

Gain percentage = (85/ 3400)*100

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 2.5%

• ​​ Speed of the car = 2300/ 20 = 115 km/h

​​ Speed of the truck = (2/5)* 115

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 46 km/h

• Total distance covered = 300+ 500 = 800 m​​

​​ Time taken = 90 seconds

Speed = 800/90 = 8.8 m/s

• Loss = ​​ (30000/50000)*100

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = (3/5)*100

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 60%

• Required Percentage = (1500/3500)*100

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 42.8% ​​​​

• C.P. = 8000+ 1000 = Rs. 9000

​​ Profit = (2000/9000)*100​​

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 200/9

​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 22.2%

Read the theory on Simple and Compound Interest here.

Read our other posts on Quantitative Techniques Question Pattern and Test Papers.

First published on September 10, 2020.

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