Mathematics — All MCQs
1905 questions available
Q141.What integer values can n have, given the inequality -7 < 4n <= 8?
Correct Answer: A
Solving -7 < 4n <= 8 gives -1.75 < n <= 2, so integer values are -1, 0, 1, 2.
Q142.A student spends 15% of his scholarship grant on food and 45% on tuition. After spending 50% of the remaining grant on his hostel fee, he is left with Rs 8,000 only. How much is his scholarship grant?
Correct Answer: B
After spending 60% on food and tuition, 40% remains; half of that (20%) is spent on hostel, leaving 20% = 8,000, so total grant = 40,000.
Q143.Find the value of a^2 + b^2, when a + b = 5 and ab = 6.
Correct Answer: C
a^2+b^2 = (a+b)^2 - 2ab = 25 - 12 = 13.
Q144.When the equation y = x^2 + 8x - 5 is written in the form (x + a)^2 + b, then a is:
Correct Answer: C
Completing the square: x^2+8x-5 = (x+4)^2 - 21, so a = 4.
Q145.Find the value of x, where A = (2pi + y)x^2, where A = 36 and y = 2.77.
Correct Answer: C
36 = (2π+2.77)x^2 → x^2 = 36/8.9 ≈ 4.04 → x ≈ 2.
Q146.At a football match, the price of child ticket is Rs. 240 less than the adult ticket. There are 18,500 adults and 2500 children attending the match. Total amount paid for tickets is Rs. 41,400,000. What is the price of one adult ticket?
Correct Answer: C
Let adult price = p, child = p-240. 18500p + 2500(p-240) = 41,400,000. Solving gives p = Rs. 2000.
Q147.Name the regular polygon that has an exterior angle of 36 degrees.
Correct Answer: C
Exterior angle = 360/n. Setting 360/n = 36 gives n = 10, a decagon.
Q148.What is the perimeter of a semi-circle lake having a radius of 700m?
Correct Answer: B
Perimeter = πr + 2r = 700(π+2) ≈ 3600m = 3.6 km.
Q149.What is the total surface area of a cylinder having a radius of 3.5 cm and height 5.5 cm?
Correct Answer: B
Total surface area of a cylinder = 2πr(r+h) = 2π(3.5)(3.5+5.5) ≈ 198 sq cm.
Q150.The lights and brakes of 30 bicycles were tested. 27 bicycles passed the lights and 21 passed the brakes test. The lights and brakes both failed on one bicycle. How many bicycles passed both tests?
Correct Answer: A
Using inclusion-exclusion: bicycles that failed at least one test = 30 - passed both. Solving with the given data gives 19 bicycles passed both tests.
Q151.A box contains 8 red, 6 green and 7 blue toys. One of the toys is randomly picked; what is the probability that the toy picked is neither red nor green?
Correct Answer: A
P(neither red nor green) = P(blue) = 7/21.
Q152.16 men and 12 women can complete a work in 20 days. 18 women can complete the same work in 40 days. In how many days will 12 men and 27 women complete the same work?
Correct Answer: A
Setting up work-rate equations from the given data and solving for 12 men and 27 women gives 16 days.
Q153.What is the next term in the series: 11, 20, 38, 56, 83?
Correct Answer: D
The differences between terms increase by 9 each time (9,18,18,27...); following the pattern, the next term is not among (a),(b),(c), so 'None of these' is correct.
Q154.What is 21 + 17?
Correct Answer: A
Adding 21 and 17 gives 38.
Q155.What is 22 + 19?
Correct Answer: A
Adding 22 and 19 gives 41.
Q156.What is 23 + 21?
Correct Answer: A
Adding 23 and 21 gives 44.
Q157.What is 24 + 23?
Correct Answer: A
Adding 24 and 23 gives 47.
Q158.What is 25 + 25?
Correct Answer: A
Adding 25 and 25 gives 50.
Q159.What is 26 + 27?
Correct Answer: A
Adding 26 and 27 gives 53.
Q160.What is 27 + 29?
Correct Answer: A
Adding 27 and 29 gives 56.