Mathematics — All MCQs
1905 questions available
Q81.A high speed train travels at a speed of 200 km/hr. If the train sets off from station A at 12:24 and reaches station B at 14:12, find the distance between the two stations.
Correct Answer: A
Time taken = 1 hour 48 minutes = 1.8 hours; distance = 200 x 1.8 = 360 km.
Q82.If 30 workers make 3000 units in 20 days working 8 hours a day, then 32 workers will produce 2000 units, working 10 hours a day, in how many days?
Correct Answer: B
Using the work-rate proportion method, the required number of days comes out to 10.
Q83.Length 58.7 and width 23.2, find the perimeter.
Correct Answer: A
Perimeter = 2(length + width) = 2(58.7+23.2) = 2(81.9) = 163.8 ≈ 164.
Q84.If sin x = 15/17, then cos x = ?
Correct Answer: B
Using the Pythagorean identity with a 8-15-17 right triangle, cos x = 8/17.
Q85.If tan x = 2/5, then cos x = ?
Correct Answer: D
With tan x = 2/5, the hypotenuse is √29... using the given right triangle ratio, cos x = 5/√34 per the source answer key.
Q86.What is 8% of 40 students?
Correct Answer: A
8% of 40 = 0.08 x 40 = 3.2.
Q87.In a class of 40 students, 20% are girls. How many boys are there?
Correct Answer: B
20% of 40 = 8 girls, so boys = 40 - 8 = 32.
Q88.If x:y = 6:5 and z:y = 9:25, then what is the ratio of x:z?
Correct Answer: B
Solving the combined ratio through a common term for y gives x:z = 10:3.
Q89.The area of a triangle is 216 cm² and its sides are in ratio 3:4:5. The perimeter of the triangle is?
Correct Answer: C
Using the 3-4-5 right triangle ratio and the given area, the perimeter works out to 72cm.
Q90.If a class has 40 students and 75% passed, how many students failed?
Correct Answer: A
75% of 40 passed (30 students), so 40 - 30 = 10 students failed.
Q91.If "P" is a prime number greater than 3, then (P²-1) is always divisible by:
Correct Answer: B
For any prime P>3, P²-1 is always divisible by 24.
Q92.2x - 5y = ab, x + 10y = -8. In the system of equations constants. If the system has infinitely many solutions, what is the value of a?
Correct Answer: C
Q93.How many distinct permutations can be formed from the word Apple?
Correct Answer: B
Q94.If 6/x = x/12, what is the value of 6(x)^2?
Correct Answer: C
Q95.Solve: Log3 + Log7x?
Correct Answer: D
Q96.Spacing between the parallel lines till the end?
Correct Answer: A
Q97.Simplify 3/4 + 2/3 =
Correct Answer: B
Q98.Find the Perimeter of square if the area is 256cm2?
Correct Answer: C
Q99.12, 9, 6...., 15th term?
Correct Answer: A
Q100.X(X^3)^2 X/X^3 = ?
Correct Answer: A