Mathematics — All MCQs
1905 questions available
Q1441.The price of sugar increases by 32%. A family reduces its consumption so that the expenditure of the sugar is up by 10% only. If the total consumption of sugar before the price rise was 10 kg per month, then the consumption of sugar per month at present (in kg) is:
Correct Answer: A
Let new consumption = x kg. New price = 1.32 × old price. Expenditure increases by 10%, so: New price × new consumption = 1.10 × old price × old consumption → 1.32 × x = 1.10 × 10 → x = 11 ÷ 1.32 ≈ 8.33 kg.
Q1442.Calculate 63% of 25/7.
Correct Answer: A
63% = 63/100. So, (63/100) × (25/7) = (63/7) × (25/100) = 9 × 0.25 = 2.25.
Q1443.If 37% of a number is 990.86, what will be approximately 19% of that number?
Correct Answer: A
Let the number be x. 0.37 × x = 990.86 → x ≈ 2678.54. Find 19% of x: 0.19 × 2678.54 ≈ 508.92, which rounds to approximately 509.
Q1444.The cost price of a pair of socks is Rs.120 and has a profit margin of 42%. What is the selling price?
Correct Answer: A
Profit = 42% of 120 = (42/100) × 120 = Rs. 50.4. Selling price (SP) = CP + Profit = 120 + 50.4 = Rs. 170.4.
Q1445.ABC corporation sold 30% of stock to S. Company T owns 12,000 shares. Company R owns remaining. If R has 15% more shares than S, how many shares does Company S own?
Correct Answer: A
Let total shares = T. S = 0.30T. R = T - (0.3T + 12000) = 0.70T - 12000. R is 15% more than S: R = 1.15 × S → 0.7T - 12000 = 1.15 × 0.3T = 0.345T → 0.355T = 12000 → T ≈ 33,802.82. S = 0.30 × 33,802.82 ≈ 10,140 shares.
Q1446.Three pointers can paint three walls in three minutes. How many pointers are needed to paint 27 walls in 9 minutes?
Correct Answer: C
3 pointers paint 3 walls in 3 minutes → 1 pointer paints 1 wall in 3 minutes. In 9 minutes, 1 pointer paints 3 walls. To paint 27 walls in 9 minutes, pointers needed = 27 ÷ 3 = 9 pointers.
Q1447.Find the value of x if the proportion is correct: 4 / 8 = x / 16.
Correct Answer: A
In a proportion, cross-multiply: 4 × 16 = 8 × x → 64 = 8x → x = 64 ÷ 8 = 8.
Q1448.If a shirt originally costs Rs.400 and is on sale for 25% off, what is the sale price?
Correct Answer: B
Original price = Rs. 400. Discount = 25% of Rs. 400 = (25/100) × 400 = Rs. 100. Sale price = 400 - 100 = Rs. 300.
Q1449.If a magazine seller sells 40% of his magazines and is now left with 360 magazines, how many magazines did he have to begin with?
Correct Answer: A
He sells 40% of them, so he is left with 60% of x. 60% of x = 360 → (60/100) * x = 360 → 0.6x = 360 → x = 360 ÷ 0.6 = 600.
Q1450.Compound interest rate of 6% p.a. is given for the investment of Rs. 42,000 for 10 years. What is the amount at the end of the term if interest is added half-yearly?
Correct Answer: C
Formula: A = P(1 + r/n)^(n*t). Here P = 42,000, r = 0.06, n = 2, t = 10. A = 42,000 × (1 + 0.03)^20 = 42,000 × (1.03)^20 ≈ 42,000 × 1.8061 ≈ Rs. 75,856.7.
Q1451.If a² - b² = 9 and (a - b)² = 3, then what is the value of ab?
Correct Answer: D
We can write: a² − b² = (a + b)(a − b) = 9. (a − b)² = 3 → a − b = √3. Hence (a + b)(√3) = 9 → a + b = 3√3. Solve for a and b: a = 2√3, b = √3. ab = a × b = 2√3 × √3 = 6.
Q1452.If x = 5 and y = 2, what is the value of 2x + 3y?
Correct Answer: C
Given: x = 5, y = 2. Expression: 2x + 3y = 2(5) + 3(2) = 10 + 6 = 16.
Q1453.In the first year, two cows produced 4000 l and 3100 l of milk respectively. In the second year their production increased by 15% and 10% respectively. What is the total amount of milk produced in the second year?
Correct Answer: B
Cow 1 increases by 15%: 4000 + 15% of 4000 = 4600 l. Cow 2 increases by 10%: 3100 + 10% of 3100 = 3410 l. Total production = 4600 + 3410 = 8010 l.
Q1454.Add the odd numbers in this list: 3, 4, 7, 18, 28, 37, 41. Is the sum an even number or odd number?
Correct Answer: B
Odd numbers in the list: 3, 7, 37, 41. Sum = 3 + 7 + 37 + 41 = 88. 88 is an even number.
Q1455.Two small towns with a population of 1,800 and 1,500 are to be granted Rs. 712,000 in the proportion of their population. How much must each receive?
Correct Answer: A
Total Population = 1800 + 1500 = 3300. Town A (1800): 1800/3300 × 712,000 ≈ Rs. 388,363. Town B (1500): 1500/3300 × 712,000 ≈ Rs. 323,636.
Q1456.Which newspaper was read by a higher percentage of females than males in Year 3 according to the readership data?
Correct Answer: D
According to the table, Newsday has a readership of 12% among females and 10% among males in Year 3, which is the only one where females exceed males.
Q1457.If a triangle has a length (base) of 5 units and width (height) of 4 units, what is its area?
Correct Answer: D
Area of a triangle = (1/2) × base × height = (1/2) × 5 × 4 = 10 square units.
Q1458.How many squares are there in a figure with 4 concentric squares where the two innermost squares form a 3×3 grid using two perpendicular lines?
Correct Answer: C
Concentric squares count: The 3×3 grid yields 9 (1×1) + 4 (2×2) + 1 (3×3) = 14 squares. Adding the remaining 2 outer concentric square outlines yields 14 + 2 = 16 squares.
Q1459.Which number from the options below is different from the rest? 41, 49, 43, 47.
Correct Answer: B
41, 43, and 47 are prime numbers, whereas 49 is a composite number and a perfect square (7 × 7).
Q1460.On the last day of school, 5 pupils brought 3 apples each, 6 pupils brought 2 bananas each, and 3 pupils brought 4 nectarines each. How many pieces of fruit were there to share?
Correct Answer: D
Total fruit = (5 × 3) + (6 × 2) + (3 × 4) = 15 + 12 + 12 = 39 pieces.