Mathematics — All MCQs
1905 questions available
Q1701.If x² - x = 12 and y² - y = 12, what is the possible value of x - y?
Correct Answer: B
Solving the quadratic z² - z - 12 = 0 gives (z - 4)(z + 3) = 0, so roots are 4 and -3. Thus x and y can be 4 or -3. If x=4 and y=-3, then x-y = 7. If x=-3 and y=4, then x-y = -7. Therefore, possible values are 0 or ±7.
Q1702.5x - 4 = 4x - 4. Value of x
Correct Answer: D
5x - 4 = 4x - 4. Subtracting 4x from both sides gives: x - 4 = -4. Adding 4 to both sides gives: x = 0.
Q1703.Greatest prime factor of 87 is ?
Correct Answer: B
Factorizing 87 gives: 87 = 3 * 29. Since both 3 and 29 are prime numbers, the greatest prime factor is 29.
Q1704.If 9 eggs cost Rs. 60, what is the price of 3 eggs?
Correct Answer: C
Since 3 eggs is exactly 1/3 of 9 eggs, the cost will also be 1/3 of Rs. 60, which is: 60 / 3 = Rs. 20.
Q1705.7/8 of 96 is?
Correct Answer: C
(7 / 8) * 96 = 7 * (96 / 8) = 7 * 12 = 84.
Q1706.Amir is older than Nadeem by 4 years and Danish is younger than Saleem by 4 years, but Saleem's age is 1/4th of Amir's. If Danish's age is 8 years, how many times is Nadeem in age to Saleem?
Correct Answer: C
Danish is 8. Danish = Saleem - 4 => Saleem = 12. Saleem = 1/4 of Amir => Amir = 48. Amir = Nadeem + 4 => Nadeem = 44. Ratio of Nadeem to Saleem = 44 / 12 = 11/3.
Q1707.At what angle is the projectile range maximum?
Correct Answer: D
Neglecting air resistance, the maximum horizontal range of a projectile is achieved at a launch angle of 45°.
Q1708.What is the mode of the series: 11, 22, 33, 44, 55, 66, 77, 88, 99?
Correct Answer: C
The mode is the value that appears most frequently in a data set. Since all numbers in this series appear exactly once, there is no mode.
Q1709.Find Odd one out: 2, 3, 7, 11 (Prime check)
Correct Answer: A
All of the numbers (2, 3, 7, 11) are prime numbers. However, 2 is the only even prime, whereas the others are odd primes.
Q1710.Find the distance between the points (1, 2) and (4, 6).
Correct Answer: B
By the distance formula: d = sqrt((4 - 1)^2 + (6 - 2)^2) = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5.
Q1711.What number when multiplied by itself gives 5 more than 20 ?
Correct Answer: C
Let the number be x. x * x = 20 + 5 => x^2 = 25 => x = 5 (since 5 is the positive option).
Q1712.What number when multiplied by itself gives 6 more than 30 ?
Correct Answer: B
Let the number be x. x^2 = 30 + 6 => x^2 = 36 => x = 6.
Q1713.What number when multiplied by itself gives 4 more than 60 ?
Correct Answer: C
Let the number be x. x^2 = 60 + 4 => x^2 = 64 => x = 8.
Q1714.A pencil costs 50 paise. How many pencils can you buy with 5 rupees?
Correct Answer: C
5 Rupees = 500 paise. Pencils that can be bought = 500 / 50 = 10.
Q1715.Aslam bought a bicycle for Rs. 10,000 and sold it for Rs. 11,000. What is his profit percentage?
Correct Answer: B
Profit = Selling Price - Cost Price = 11,000 - 10,000 = Rs. 1,000. Profit % = (1,000 / 10,000) * 100 = 10%.
Q1716.In the proportion a:b::c:d, the term a:d is called?
Correct Answer: B
In a proportion a:b::c:d, the first (a) and last (d) terms are called extremes, while b and c are means. The term a:d refers to extreme proportion.
Q1717.A car covers 150 km in 3 hours, what is its average speed? (Speed check)
Correct Answer: B
Average Speed = Distance / Time = 150 / 3 = 50 km/h.
Q1718.A man buys a goat for Rs. 25,000 and sells it for Rs. 28,500. Find the profit percentage? (Goat markup)
Correct Answer: B
Profit = SP - CP = 28,500 - 25,000 = Rs. 3,500. Profit % = (3,500 / 25,000) * 100 = 14%.
Q1719.Simplify: 20 ÷ (5 - 3) × 2
Correct Answer: D
20 ÷ (5 - 3) * 2 = 20 ÷ 2 * 2 = 10 * 2 = 20.
Q1720.Transpose of the product of matrices AB is equal to?
Correct Answer: B
According to matrix algebra, the transpose of a product of two matrices is the product of their transposes in reverse order: (AB)^T = B^T * A^T.