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Quantitative Ability and Reasoning

94 practice questions, each with the answer and an explanation.

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A civil services training cohort has 60 officers. 36 speak Pashto, 28 speak Balochi, and 12 speak neither language. How many officers speak both Pashto and Balochi?
If 12 clerks can process 480 files in 8 days working 6 hours a day, how many clerks are needed to process 600 files in 5 days working 8 hours a day?
A civil services candidate scores 68%, 74%, and 82% in three compulsory papers of 100 marks each. What minimum score must she obtain in the fourth paper of 100 marks to achieve an overall average of 7…
Two cities Islamabad and Lahore are connected by a 375 km highway. Car A leaves Islamabad at 8:00 AM heading towards Lahore at 75 km/h. Car B leaves Lahore at 8:30 AM heading towards Islamabad at 85 k…
In a provincial development fund, the allocation ratio between Health, Education, and Roads is 4:5:7. If the Roads allocation exceeds Health by Rs. 210 million, what is the total development fund?
What is the next term in the logical number sequence: 3, 7, 15, 31, 63, ...?
A container contains 100 litres of water. 20 litres are withdrawn and replaced with pure milk. Then 20 litres of the mixture are withdrawn and replaced with milk. What is the final quantity of water r…
The sum of ages of a father and his son is 56 years. After 4 years, the age of the father will be three times that of the son. What is the current age of the father?
If 8 men or 12 women can reap a wheat field in 25 days, in how many days can 6 men and 11 women reap the same field?
What is the probability of rolling a sum of either 7 or 11 when throwing two fair dice simultaneously?
Find the compound interest on Rs. 2,000 at $5%$ per annum for $2$ years.
A trader buys an article for Rs. 500 and sells it for Rs. 550. Find the profit percentage.
A train covers $90 km$ in $3$ hours. Find its average speed.
Find the highest common factor (HCF) of $14$ and $21$ .
Evaluate $5 + 9 \times 8 - 4$ .
Simplify $\frac{1}{2} \div \frac{7}{8}$ .
A radio is marked at Rs. 4,000. A discount of $20%$ is given and then a tax of $20%$ is added to the discounted price. Find the amount to pay.
1 adult ticket and 2 child tickets cost Rs. 1,060, while 3 adult tickets and 2 child tickets cost Rs. 2,860. Find the price of one adult ticket.
A box contains 8 red and 4 blue balls. Two balls are taken one after the other without putting the first back. Find the probability that both are red.
Two fair coins are tossed. What is the probability of getting two heads?
Find the term number $13$ of the arithmetic progression $7, 10, 13, 16, \dots$
Evaluate $(5 \times 1 0^{4}) \times (2 \times 1 0^{3})$ and give the answer in standard form.
$60%$ of a number is $48$ . What is the number?
A bus travels at $40 km h^{- 1}$ for $\frac{3}{2}$ hours. How far does it travel?
Find the lowest common multiple (LCM) of $8$ and $6$ .
Evaluate $(6 + 6) (5 - 1) - 2$ .
Simplify $\frac{2}{7} + \frac{4}{8}$ .
A radio is marked at Rs. 8,000. A discount of $10%$ is given and then a tax of $20%$ is added to the discounted price. Find the amount to pay.
3 adult tickets and 4 child tickets cost Rs. 3,430, while 1 adult ticket and 1 child ticket cost Rs. 1,070. Find the price of one adult ticket.
A box contains 6 red and 6 blue balls. Two balls are taken at random without replacement. Find the probability that they are of different colours.
Find the sum of the first $12$ terms of the arithmetic progression $8, 14, 20, 26, \dots$
Evaluate $(3 \times 1 0^{3}) \times (2 \times 1 0^{2})$ and give the answer in standard form.
The price of an item is Rs. 2,500. It is increased by $20%$ and the new price is then decreased by $20%$ . Find the final price.
Find the compound interest on Rs. 20,000 at $20%$ per annum for $2$ years.
A bus travels at $60 km h^{- 1}$ for $\frac{3}{2}$ hours. How far does it travel?
Find the lowest common multiple (LCM) of $35$ and $49$ .
Evaluate $(7 + 4) (7 - 1) - 2$ .
A radio is marked at Rs. 8,000. A discount of $25%$ is given and then a tax of $10%$ is added to the discounted price. Find the amount to pay.
2 adult tickets and 3 child tickets cost Rs. 2,200, while 1 adult ticket and 1 child ticket cost Rs. 980. Find the price of one adult ticket.
A box contains 8 red and 5 blue balls. Two balls are taken one after the other without putting the first back. Find the probability that both are red.
Find the term number $14$ of the arithmetic progression $2, 7, 12, 17, \dots$
Evaluate $(3 \times 1 0^{4}) \times (2 \times 1 0^{3})$ and give the answer in standard form.
$35%$ of a number is $70$ . What is the number?
Find the simple interest on Rs. 5,000 at $5%$ per annum for $2$ years.
A car travels $360 km$ at $30 km h^{- 1}$ and then returns the same $360 km$ at $45 km h^{- 1}$ . Find the average speed for the whole journey.
Find the highest common factor (HCF) of $15$ and $9$ .
Evaluate $9 + 4 \times 6 - 8$ .
A radio is marked at Rs. 20,000. A discount of $25%$ is given and then a tax of $8%$ is added to the discounted price. Find the amount to pay.
A box contains 7 red and 4 blue balls. Two balls are taken at random without replacement. Find the probability that they are of different colours.
A bag has 8 red and 6 blue marbles. One marble is picked at random. Find the probability that it is blue.
Find the sum of the first $8$ terms of the arithmetic progression $5, 8, 11, 14, \dots$
Evaluate $(4 \times 1 0^{2}) \times (3 \times 1 0^{4})$ and give the answer in standard form.
The price of an item is Rs. 1,500. It is increased by $20%$ and the new price is then decreased by $50%$ . Find the final price.
Find the compound interest on Rs. 2,000 at $10%$ per annum for $2$ years.
A train covers $90 km$ in $2$ hours. Find its average speed.
Find the lowest common multiple (LCM) of $10$ and $8$ .
Evaluate $(6 + 9) (9 - 1) - 1$ .
Simplify $\frac{2}{4} \div \frac{1}{9}$ .
Find the mean of $13, 20, 13, 7, 14, 8, 2$ .
A radio is marked at Rs. 20,000. A discount of $50%$ is given and then a tax of $8%$ is added to the discounted price. Find the amount to pay.
4 adult tickets and 2 child tickets cost Rs. 3,540, while 3 adult tickets and 4 child tickets cost Rs. 3,480. Find the price of one adult ticket.
A box contains 4 red and 7 blue balls. Two balls are taken at random without replacement. Find the probability that they are of different colours.
Two fair dice are thrown. Find the probability that the sum is $10$ .
Find the sum of the first $18$ terms of the arithmetic progression $5, 8, 11, 14, \dots$
$35%$ of a number is $42$ . What is the number?
A bus travels at $30 km h^{- 1}$ for $\frac{1}{2}$ hours. How far does it travel?
Find the lowest common multiple (LCM) of $28$ and $49$ .
Evaluate $(8 + 5) (3 - 1) - 2$ .
Simplify $\frac{7}{9} + \frac{4}{7}$ .
The table shows the number of books read by $11$ students: $1$ book (1 students), $2$ books (1), $3$ books (6), $4$ books (3). Find the mean number of books.
A radio is marked at Rs. 5,000. A discount of $50%$ is given and then a tax of $20%$ is added to the discounted price. Find the amount to pay.
1 adult ticket and 3 child tickets cost Rs. 1,720, while 4 adult tickets and 1 child ticket cost Rs. 2,700. Find the price of one adult ticket.
A box contains 8 red and 3 blue balls. Two balls are taken at random without replacement. Find the probability that they are of different colours.
A bag has 6 red and 3 blue marbles. One marble is picked at random. Find the probability that it is blue.
Find the term number $20$ of the arithmetic progression $8, 12, 16, 20, \dots$
Evaluate $(4 \times 1 0^{3}) \times (2 \times 1 0^{4})$ and give the answer in standard form.
The price of a book rises from Rs. 60 to Rs. 76. Find the percentage increase.
Find the simple interest on Rs. 20,000 at $10%$ per annum for $4$ years.
A trader buys an article for Rs. 800 and sells it for Rs. 880. Find the profit percentage.
A bus travels at $60 km h^{- 1}$ for $\frac{1}{2}$ hours. How far does it travel?
Find the highest common factor (HCF) of $6$ and $21$ .
Evaluate $9 + 5 \times 7 - 8$ .
Simplify $\frac{3}{9} + \frac{6}{7}$ .
A radio is marked at Rs. 2,000. A discount of $50%$ is given and then a tax of $15%$ is added to the discounted price. Find the amount to pay.
4 adult tickets and 1 child ticket cost Rs. 3,830, while 4 adult tickets and 4 child tickets cost Rs. 4,880. Find the price of one adult ticket.
A box contains 6 red and 5 blue balls. Two balls are taken at random without replacement. Find the probability that they are of different colours.
Find the term number $11$ of the arithmetic progression $3, 8, 13, 18, \dots$
Evaluate $(5 \times 1 0^{3}) \times (5 \times 1 0^{3})$ and give the answer in standard form.
A shop sells a shirt for Rs. 3,150 after a discount of $30%$ on the marked price. Find the marked price.
A trader buys an article for Rs. 800 and sells it for Rs. 1,000. Find the profit percentage.
A bus travels at $50 km h^{- 1}$ for $\frac{5}{2}$ hours. How far does it travel?
Find the lowest common multiple (LCM) of $10$ and $6$ .
Evaluate $3 + 9 \times 8 - 5$ .
Evaluate $3 \frac{1}{7} + 3 \frac{3}{4}$ and give the answer as an improper fraction or whole number.

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Quantitative Ability and Reasoning

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