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Quantitative aptitude: numbers, averages, ratio, profit and loss

TGPSC Group-I Mains questions on this chapter, grouped by sub-topic.

7

questions in total

Asked in 1 of 2 sittings since 2016

2016

–

2024

7

Most tested: Ratio-based mixture and profit-loss algebra under time pressure.

All 7 questions, organised by sub-topic

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Profit and loss1

2024A person P bought vegetables and fruits whose cost prices per kg are in the ratio 1 : 3. P sold 50 kg of vegetables and 25 kg of fruits to another person Q thereby getting a profit of 20% on vegetables and 40% on fruits. Q observed that 20 kg of vegetables and 10 kg of fruits are rotten. He discarded those rotten items and sold the remaining entire lot of vegetables and fruits at a rate of Rs. 440 per kg and thereby he got a profit of 33 1/3 %. What is the cost price per kg of fruits for P?

Averages1

2024The average of 7 distinct natural numbers is 26. The average of the least two numbers is 16. The average of the largest two numbers is 36. Sum of smallest and largest is 52. Sum of the squares of the middle three numbers is 2084. If all the 7 numbers are even and written in increasing order, what is the 3rd number counted from the largest number?

Number systems1

2024A four digit number LMNP is such that its digits follow M + N = P, L + M + 1 = P, and 3(1 + N) = P. Find the sum of the two numbers LMNP and PNML.

Series1

2024Find 1/11 + 11/11^2 + 111/11^3 + 1111/11^4 + 11111/11^5 + ... to infinity.

LCM, ratio and mensuration1

2024Least Common Multiple (LCM) of three numbers which are in the ratio 3 : 4 : 5 is 720. If a triangle has these three numbers as its length of sides (in cm) and P (cm) is the perimeter and A (sq. cm.) is the area of the triangle; then find by what percentage numerically A is more than P?

Percentages1

2024Mr. V travels 2400 km per month on his car and the car gives a mileage of 18 km per litre. The petrol prices shoot up by 8%. If the price of petrol before the hike in price is Rs. 112 per litre, find by how many kms (approximately) Mr. V need to reduce his travel so as to have the same expenditure before and after the hike in petrol?

Ratio and mixtures1

2024Three vessels upto their maximum capacity are filled with a mixture of water and milk. The ratio of milk and water in the three vessels are respectively 3 : 1; 5 : 3; and 3 : 5. The ratio of the capacities of the three vessels are respectively 2 : 3 : K. If the mixture in all the three vessels are mixed in another larger vessel then the ratio of milk and water is 21 : 19. Find the Greatest Common Divisor (GCD) of K^2, 2^K and 2K.

Ghissu

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