Mathematics — All MCQs
1905 questions available
Q1661.Under the workshop schedule: examining is 3 days after receipt. Delivered to restoration on the next Monday. Restoration takes 1-3 days. Varnished on the next Wednesday. Shipped 2 days later at the close of 15th or 30th. If Jan 1st is a Friday, and steady supply exists, on how many days during January will varnishing take place?
Correct Answer: C
Varnishing takes place only on Wednesdays. There are four Wednesdays in January (6th, 13th, 20th, 27th). Under steady supply, varnishing will occur on all 4 of these days.
Q1662.What is a quarter of 1/10 of 120?
Correct Answer: B
First, find 1/10 of 120: 120 / 10 = 12. Next, find a quarter of 12: 12 / 4 = 3.
Q1663.The fraction 1/10 is equal to what decimal?
Correct Answer: B
1 divided by 10 is 0.1.
Q1664.A person bought a book for Rs. 500 and sold it for Rs. 700. Find the profit percentage.
Correct Answer: C
Profit = 700 - 500 = 200. Profit % = (200 / 500) × 100 = 40%.
Q1665.Marwa bought a book for Rs. 60 and a slate for Rs. 80. Find the percentage loss if she sold both together for Rs. 80.
Correct Answer: D
Total Cost Price (CP) = 60 + 80 = 140. Selling Price (SP) = 80. Loss = 140 - 80 = 60. Loss % = (60 / 140) × 100 = 42.86%.
Q1666.Evaluate: (a + b) – (a – b)
Correct Answer: B
(a + b) - (a - b) = a + b - a + b = 2b.
Q1667.Evaluate: (100)² - (99)²
Correct Answer: D
(100)² - (99)² = (100 - 99)(100 + 99) = 1 × 199 = 199.
Q1668.Solve the equation: 2x + 5 = 3
Correct Answer: A
2x + 5 = 3 => 2x = -2 => x = -1.
Q1669.What is 1.5% of 100?
Correct Answer: B
1.5% of 100 = 1.5.
Q1670.What is the cross product of 2D vectors (1, 0) and (0, -1)?
Correct Answer: B
For 2D vectors u=(u1,u2) and v=(v1,v2), the cross product magnitude is u1*v2 - u2*v1. Here, (1 × -1) - (0 × 0) = -1.
Q1671.A car covers 2 km using 15 liters of fuel. Fuel costs Rs. 90 per liter. How much distance can the car cover for Rs. 450?
Correct Answer: D
Fuel for Rs. 450 = 450 / 90 = 5 liters. Distance for 15 liters = 2 km => 1 liter = 2/15 km => 5 liters = 10/15 km = 2/3 km ≈ 665 meters.
Q1672.If 15 workers can paint a certain number of houses in 24 days, how many days will 40 workers take to do the same job?
Correct Answer: D
Work = Workers × Days. 15 × 24 = 40 × d => 360 = 40d => d = 9 days.
Q1673.What is the value of sin(θ) × cos(90°)?
Correct Answer: B
Since cos(90°) = 0, sin(θ) × cos(90°) = sin(θ) × 0 = 0.
Q1674.The derivative of sin(x) with respect to x is?
Correct Answer: A
By standard calculus limits, d/dx[sin(x)] = cos(x).
Q1675.14 dozen eggs cost Rs. 100. If another 48 eggs are bought at Rs. 12 per dozen, what is the total cost?
Correct Answer: C
48 eggs = 4 dozen. Cost of additional eggs = 4 × Rs. 12 = Rs. 48. Total cost = Rs. 100 + Rs. 48 = Rs. 148.
Q1676.Which of the following numbers does not belong in the group: 1, 2, 5, 7, 8?
Correct Answer: D
8 is an even composite number. All other numbers are prime or unit non-composite integers.
Q1677.If 5 glasses of lemon juice cost 75, what will be the price of 9 glasses?
Correct Answer: C
Cost of 1 glass = 75 / 5 = 15. Cost of 9 glasses = 15 × 9 = 135.
Q1678.If 10 men cover 10 km in 3 days, how much distance will 3 men cover in 3 days?
Correct Answer: C
Since time is constant (3 days), distance is proportional to workers: 10 men cover 10 km => 1 man covers 1 km, so 3 men will cover 3 km.
Q1679.Which of these numbers is different from the rest: 3, 5, 7, 9?
Correct Answer: D
3, 5, and 7 are prime numbers, while 9 is a composite number (divisible by 3).
Q1680.In which quadrants is the cosine (cos) function positive?
Correct Answer: D
By standard trigonometric quadrant definitions, cosine is positive in the 1st quadrant (where all are positive) and 4th quadrant (where x is positive).