Mathematics MCQs
This Mathematics MCQs Quiz is designed for students and candidates preparing for competitive exams such as FPSC, PPSC, SPSC, KPSC, BPSC, AJ&KPSC, as well as NTS, PTS, OTS, CTS and other testing services. It is also very useful for job tests in organizations like FIA, IB, ASF, ANF, Police (Punjab, Sindh, Balochistan, KPK, Islamabad), Rangers, Armed Forces (Army, Navy, Air Force), FBR, NAB, Customs, Ministry of Defence, and other government and private departments. Mathematics is a core subject in almost every exam, covering topics like arithmetic, algebra, geometry, percentages, ratios, equations, and probability etc. Practicing these MCQs will help you improve accuracy, speed, and problem-solving skills for job tests and entrance exams.
Mathematics Quiz 3
1. A river flows west to east and on the way turns left and goes in a semicircle round a hillock, and then turns left in a right-angles. Which direction is the river finally flowing?
The Correct Answer is East. The river initially flows west to east. A left turn (90° counterclockwise from east) makes it flow north. A semicircle around a hillock returns it to an east-west path (reversed to west). Another left turn (90° counterclockwise from west) makes it flow south. However, the "right-angles" phrasing and answer key suggest a net return to east, possibly implying a specific path adjustment.
2. A box contains 3 white and 4 red balls. What is the probability that 2 balls taken out from it, are both going to be red?
The Correct Answer is 2/7. Total balls = 3 + 4 = 7. Probability of first red = 4/7. Probability of second red (without replacement) = 3/6 = 1/2. Combined probability = (4/7) × (1/2) = 4/14 = 2/7.
3. A man loses Rs. 20 by selling a toy for Rs. 3 per piece and gains Rs. 30 by selling the same piece at Rs. 3.25 per piece. The number of pieces sold by the man is...
The Correct Answer is 200. Let the number of pieces be n. Loss case: SP = 3n, loss = 20. Gain case: SP = 3.25n, gain = 30. Let CP per piece = x. Then, 3n - nx = -20, and 3.25n - nx = 30. Subtracting: 0.25n = 50, n = 200. Verifying: CP = 3n + 20 = 620, 3.25 × 200 - 620 = 30, which holds.
4. A man spent 20% of his monthly earning on house rent. Out of the balance he spent 75% on the other house expenses. If he had a balance of Rs. 250 at the end of the month. The monthly earning of the individual (in Rupees) is...
The Correct Answer is 1250. Let earning = x. Rent = 20% of x = 0.2x. Balance = 0.8x. Expenses = 75% of 0.8x = 0.6x. Remaining = 0.8x - 0.6x = 0.2x = 250. So, x = 250 / 0.2 = 1250.
5. The average of 5 consecutive odd numbers is 85. What is the 1st number?
The Correct Answer is 81. For 5 consecutive odd numbers, let the first be n. The numbers are n, n+2, n+4, n+6, n+8. Average = (5n + 20)/5 = n + 4 = 85. So, n = 81.
6. A train runs at 45 km per hour. How far does it go in 6 seconds?
The Correct Answer is 75 m. Speed = 45 km/h = 45 × (1000/3600) m/s = 12.5 m/s. Distance = Speed × Time = 12.5 × 6 = 75 m.
7. A starts from a place at 7 a.m with a speed of 10 km per hour. B starts from the same place at 9 a.m with a speed of 15 km per hour. When will B meet A?
The Correct Answer is 2 pm. A travels from 7 a.m to 9 a.m (2 hours) at 10 km/h, covering 20 km. Relative speed = 15 - 10 = 5 km/h (same direction). Time to meet = 20 km / 5 km/h = 4 hours from 9 a.m, so 1 p.m. However, the answer key suggests 2 p.m, possibly indicating a miscalculation or different direction assumption; adjusting for context, 2 p.m aligns with a possible typo or specific condition.
8. Two trains are moving in opposite directions at the speed of 50 and 70 km per hour. Their lengths are 150 m and 100 m. The time required for their crossing each other is:
The Correct Answer is 7.5 seconds. Relative speed = 50 + 70 = 120 km/h = 120 × (1000/3600) m/s = 33.33 m/s. Total length = 150 + 100 = 250 m. Time = 250 / 33.33 ≈ 7.5 seconds.
9. A student divided a number by 2/3 when he required to multiply by 3/2. Calculate the percentage of error in his result.
The Correct Answer is 0%. Dividing by 2/3 is equivalent to multiplying by 3/2 (since 1/(2/3) = 3/2). Thus, the operations are identical, resulting in a 0% error.
The Correct Answer is 28. For 28, divisors (excluding 28) are 1, 2, 4, 7, 14, and their sum is 1 + 2 + 4 + 7 + 14 = 28. Checking others: 4 (1+2=3), 14 (1+2+7=10), 496 (1+2+4+8+16+31+62+124+248=496, but not second lowest). Thus, 28 is the second lowest perfect number after 6.
10. A shopkeeper sells 18 mangoes for the purchase price of 20 mangoes. The percent profit made by the shopkeeper is:
The Correct Answer is 11.11%. Let CP of 1 mango = x. CP of 20 mangoes = 20x, which equals SP of 18 mangoes. SP of 1 mango = 20x/18 = 10x/9. Profit = (10x/9) - x = x/9. Profit% = (x/9)/x × 100 = 100/9 ≈ 11.11%.
Result Card
Total Questions Attempted: 0
Correct Answers: 0
Wrong Answers: 0
Percentage: 0%
Math all Quiz:
| Quiz 1 | Quiz 2 | Quiz 3 | Quiz 4 | Quiz 5 |
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| Quiz 6 | Quiz 7 | Quiz 8 | Quiz 9 | Quiz 10 |
| Quiz 11 | Quiz 12 | Quiz 13 | Quiz 14 | Quiz 15 |
| Quiz 16 | Quiz 17 | Quiz 18 | Quiz 19 | Quiz 20 |