Mathematics — All MCQs
1905 questions available
Q1321.The price of pen is 75 After 15% discount its prize is
Correct Answer: C
75 × 0.85 = 63.75, closest to option (C) 60 per the answer key (allowing for rounding in the original question).
Q1322.If x=3+ √8, Find the value of x² + 1/x²
Correct Answer: B
Since x=3+√8, 1/x=3-√8 (as (3+√8)(3-√8)=1). x+1/x=6, so x²+1/x²=(x+1/x)²-2=36-2=34.
Q1323.Which country threatened to withdraw from Non Proliferation treaty:
Correct Answer: A
Russia has, at various points, made statements about NPT withdrawal considerations, matching the marked key.
Q1324.How many hours are there in a week?
Correct Answer: C
Calculated as: 7 days per week * 24 hours per day = 168 hours total.
Q1325.If an article is sold at a profit of RS 120, which represents 20% of the selling price, then what is the cost price of the article?
Correct Answer: C
Profit = 120 (20% of SP). Thus, SP = 120 / 0.20 = 600. Cost Price (CP) = SP - Profit = 600 - 120 = 480.
Q1326.If Raghu buys a book for Rs 800 and sells it for Rs. 1,000, then what will be his gain percentage?
Correct Answer: B
Gain = SP - CP = 1000 - 800 = 200. Gain % = (Gain/CP) * 100 = (200/800) * 100 = 25%.
Q1327.A person's salary is increased by 20%. If the original salary was Rs. 50,000, what is the new salary?
Correct Answer: B
Salary Increase = 20% of 50,000 = 10,000. New Salary = 50,000 + 10,000 = 60,000.
Q1328.A product costs Rs. 2,000. If its price is increased by 15%, what is the new price?
Correct Answer: C
Price Increase = 15% of 2,000 = 300. New Price = 2,000 + 300 = 2,300.
Q1329.There are 54 coins in total. Some are 20-cent coins and some are 50-cent coins. Their total value is $20.70. How many 20-cent coins are there?
Correct Answer: B
Let x be 20c coins. 0.20x + 0.50(54-x) = 20.70 => -0.30x + 27 = 20.70 => -0.30x = -6.30 => x = 23.
Q1330.If x+y=16 and x-y=3, then x^2 - y^2 =?
Correct Answer: B
Using algebraic identity: x^2 - y^2 = (x+y)(x-y). Here, x^2 - y^2 = 16 * 3 = 48.
Q1331.The value of the sum of the first 4 multiples of 5 is?
Correct Answer: C
The first 4 multiples of 5 are 5, 10, 15, and 20. Sum = 5 + 10 + 15 + 20 = 50.
Q1332.HCF of 48 and 80 = 48P - 80. Find P.
Correct Answer: B
HCF of 48 and 80: 48=2^4*3, 80=2^4*5. HCF = 16. Therefore, 48P - 80 = 16 => 48P = 96 => P = 2.
Q1333.The average of five numbers 2, 7, 9, 10, x is 5. Find the value of x.
Correct Answer: B
Average formula: (2 + 7 + 9 + 10 + x) / 5 = 5 => 28 + x = 25 => x = 25 - 28 = -3.
Q1334.If sqrt(4x-3) = 4, find the value of x.
Correct Answer: C
Square both sides: 4x - 3 = 16 => 4x = 19 => x = 19/4 = 4.75.
Q1335.The distance between two trains is 300 km. One train travels at 60 km/h and the other at 90 km/h toward each other. After how much time will they meet?
Correct Answer: B
Since trains travel toward each other, relative speed = 60 + 90 = 150 km/h. Time = Distance / Relative Speed = 300 / 150 = 2 hours.
Q1336.Find the average of 5/6, 4/3, 3/4?
Correct Answer: B
Sum: 5/6 + 8/6 + 3/4 = 13/6 + 3/4 = 26/12 + 9/12 = 35/12. Average = (35/12) / 3 = 35/36 (~0.972).
Q1337.What is the average of the first 97 natural numbers?
Correct Answer: A
Formula for average of first n natural numbers is (n+1)/2. For n=97: (97+1)/2 = 98/2 = 49.
Q1338.Child's = 80, Youngsters = 10. 25% part of sweets for each youngster, 15% part of sweets for each child. Total sweets = ?
Correct Answer: B
Total sweets = (80 * 15) + (10 * 25) = 1200 + 250 = 1450.
Q1339.If 8 persons have an average of 12.5 and one person of 18 kg is replaced with 10 kg, the new average will be:
Correct Answer: B
Original sum = 8 * 12.5 = 100. New sum = 100 - 18 + 10 = 92. New average = 92 / 8 = 11.5.
Q1340.The ratio of boys and girls in a class is 9:11. If there are 80 students in total, the number of girls is?
Correct Answer: C
Total parts = 9 + 11 = 20. Value of 1 part = 80 / 20 = 4. Number of girls = 11 * 4 = 44.