Mock Test Attempt

1. The price for a pair of cuff links is Rs.1.00. The price for a 5 pair package of cuff links is Rs.3.40. The 5 pair package is what percent cheaper per paid than 5 pairs purchased separately?

A. 30%

B. 32%

C. 47%

D. 62%

Calculate the cost of 5 pairs if bought separately • Price of 1 pair = Rs. 1.00 • Price of 5 pairs separately = 5 × 1.00 = Rs. 5.00 Calculate the cost per pair in the 5-pair package • Price of 5-pair package = Rs. 3.40 • Cost per pair in the package = 3.40 ÷ 5 = Rs. 0.68 Find the discount per pair • Discount per pair = 1.00 - 0.68 = Rs. 0.32 Calculate the percentage discount 0.32/100 × 100 = 32%

2. A city has a population of 3,00,000 out of which 1,80,000 are males. 50% of the population is literate. If 70% of the males are literate, then the percentage of females who are literate is

A. 10%

B. 20%

C. 25%

D. 30%

The information given in the problem: • Total population = 3,00,000 • Number of males = 1,80,000 • Number of females = 3,00,000 - 1,80,000 = 1,20,000 • Total literate population = 50% of 3,00,000 = 1,50,000 • Literate males = 70% of 1,80,000 = 1,26,000 • Literate females = Total literate population - Literate males = 1,50,000 - 1,26,000 = 24,000 Now, to find the percentage of females who are literate: Percentage of literate females = Literate females / Total females ×100 Percentage of literate females = 24,000 / 1,20,000 × 100 = 20%

3. From 5 litres of a 20% solution of alcohol in water, 2 litres of solution is taken out and 2 litres of water is added to it. Find the strength of alcohol in the news solution.

A. 10%

B. 12%

C. 15%

D. 18%

Initial alcohol in 5 litres = 20% of 5 = 1 litre. Removing 2 litres removes 20% of 2 = 0.4 litres of alcohol. Remaining alcohol = 1 - 0.4 = 0.6 litres. Adding 2 litres of water, total solution = 5 litres. New strength = (0.6 / 5) × 100 = 12%. Ans: (B) 12%.

4. What percentage of numbers from 1 to 70 have squares that end in the digit 1?

A. 1

B. 14

C. 20

D. 21

Numbers ending in 1 or 9 have squares ending in 1. From 1 to 70, such numbers are: 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69 (14 numbers). Percentage = (14/70) × 100 = 20%. Ans: (C) 20%.

5. In an examination, 80% of the students passed in English, 85% in Mathematics and 75% in both English and Mathematics. If 40 students failed in both the subjects the total number of students is

A. 200

B. 400

C. 600

D. 800

Let the total number of students be X. • Students passing in English = 80% of X = 0.8X • Students passing in Mathematics = 85% of X = 0.85X • Students passing in both subjects = 75% of X = 0.75X Using the formula for students passing in at least one subject: Students passing in at least one subject=(Pass in English) + (Pass in Mathematics)−(Pass in both) = 0.8X + 0.85X − 0.75X = 0.9X So, students failing in both subjects = Total students - Students passing in at least one: X − 0.9X = 0.1X Given that 40 students failed in both, we set up the equation: 0.1X = 40 X = 400

Percentage Aptitude

1. The price for a pair of cuff links is Rs.1.00. The price for a 5 pair package of cuff links is Rs.3.40. The 5 pair package is what percent cheaper per paid than 5 pairs purchased separately?

2. A city has a population of 3,00,000 out of which 1,80,000 are males. 50% of the population is literate. If 70% of the males are literate, then the percentage of females who are literate is

3. From 5 litres of a 20% solution of alcohol in water, 2 litres of solution is taken out and 2 litres of water is added to it. Find the strength of alcohol in the news solution.

4. What percentage of numbers from 1 to 70 have squares that end in the digit 1?

5. In an examination, 80% of the students passed in English, 85% in Mathematics and 75% in both English and Mathematics. If 40 students failed in both the subjects the total number of students is