Mathematics — All MCQs
1905 questions available
Q1581.3 boxes have some average weight. When one box weighing 89 kg is replaced by another box, the average weight increases by 5 kg. How much does the new box weigh?
Correct Answer: C
Total weight increase = 3 boxes * 5 kg = 15 kg. New box weight = weight of replaced box + total increase = 89 + 15 = 104 kg.
Q1582.A man buys an article for Rs. 27.50 and sells it for Rs. 28.60. Find his gain percent?
Correct Answer: C
Gain = 28.60 - 27.50 = Rs. 1.10. Gain % = (Gain/CP) * 100 = (1.10 / 27.50) * 100 = 4%.
Q1583.What percentage is 12 of 36?
Correct Answer: B
(12 / 36) * 100 = (1/3) * 100 = 33.33%.
Q1584.Solve 7500 + (1250/50)
Correct Answer: B
According to BODMAS, division first: 1250 / 50 = 25. Then addition: 7500 + 25 = 7525.
Q1585.Six tenths is the same as?
Correct Answer: B
Six tenths = 6 / 10 = 0.6.
Q1586.Sam bought a 12-pack of soda for $5.40. How much did he pay per can of soda?
Correct Answer: A
Cost per can = $5.40 / 12 = $0.45.
Q1587.The total number of students in a class is 95. If the total number of girls is 45, what is the ratio of boys to girls?
Correct Answer: C
Boys = 95 - 45 = 50. Ratio of boys to girls = 50 : 45 = 10 : 9.
Q1588.Length and width of a field are in the ratio 5:3. If the width of the field is 42 m, then its length is?
Correct Answer: D
Length / Width = 5 / 3 => Length / 42 = 5 / 3 => Length = 42 * (5/3) = 70 m.
Q1589.Aslia has three types of balls: red, green, and blue in the ratio 2:3:5. What percentage of balls are green?
Correct Answer: C
Total parts = 2 + 3 + 5 = 10. Green fraction = 3/10 = 30%.
Q1590.The value of 1/3 of 24 is?
Correct Answer: C
1/3 * 24 = 8.
Q1591.A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will B alone finish the work?
Correct Answer: B
Work rate ratio A:B = 2:1. Together rate = 3 parts/day. Work finished in 18 days => Total work = 3 * 18 = 54 units. B's rate = 1 unit/day => B takes 54 days alone.
Q1592.9 is 1/3% of what number?
Correct Answer: A
(1/3)% of X = 9 => (1/300) * X = 9 => X = 9 * 300 = 2700.
Q1593.A solution of water and sugar contains 10% sugar. The solution weight is 8 kg. When 2 kg of water is added to this solution, the percentage of sugar becomes?
Correct Answer: A
Sugar = 10% of 8 kg = 0.8 kg. New solution weight = 8 kg + 2 kg = 10 kg. New sugar percentage = (0.8 / 10) * 100 = 8%.
Q1594.Solve: √(13⁴)
Correct Answer: B
sqrt(13^4) = 13^(4/2) = 13^2 = 169.
Q1595.Which of the following is the smallest fraction? 11/13, 9/11, 3/4, 5/7
Correct Answer: D
Decimal values: 11/13 ≈ 0.846; 9/11 ≈ 0.818; 3/4 = 0.75; 5/7 ≈ 0.714. Smallest is 5/7.
Q1596.Find the simplified ratio of 360 : 270.
Correct Answer: B
Divide both numbers by their GCD which is 90: 360/90 = 4, 270/90 = 3. Simplified ratio = 4:3.
Q1597.If 105 men can complete a work in 45 days, in how many days will 90 men complete the same work (assuming equal efficiency)?
Correct Answer: B
Work in man-days = 105 * 45 = 4725. Days for 90 men = 4725 / 90 = 52.5 days.
Q1598.What is the square root of 13 (√13)?
Correct Answer: B
sqrt(13) ≈ 3.60555, rounded to thousandth place is 3.605.
Q1599.A and B do a business together. Their incomes are in the ratio 3 : 2, and their expenses are in the ratio 5 : 3. If each saves Rs. 1000, what are their incomes?
Correct Answer: C
Let incomes be 3x, 2x and expenses 5y, 3y. 3x - 5y = 1000 and 2x - 3y = 1000. Solving these: x = 2000, y = 1000. Incomes: 3(2000) = Rs. 6000 and 2(2000) = Rs. 4000.
Q1600.What is 5% of 55?
Correct Answer: C
0.05 * 55 = 2.75.