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 2
11. A seller loses 13% by selling a book at a certain price. Had he sold it for Rs 9.75 more, he would have gained 26%. C.P to him was:
The Correct Answer is 25. Let CP = x. Selling at 13% loss gives SP = 0.87x. Selling at 26% gain gives SP = 1.26x. The difference is 1.26x - 0.87x = 9.75, so 0.39x = 9.75, and x = 9.75 / 0.39 = 25.
12. A shopkeeper bought bicycles for Rs 600 and sold it for Rs 720. Find the gain percent.
The Correct Answer is 20%. Gain = SP - CP = 720 - 600 = 120. Gain% = (120 / 600) × 100 = 20%.
13. The difference in selling prices of a heater at gains of 5% and 7.5% is rupees 1.25 then the cost price of heater is:
The Correct Answer is 50. Let CP = x. SP at 5% gain = 1.05x, SP at 7.5% gain = 1.075x. Difference = 1.075x - 1.05x = 0.025x = 1.25, so x = 1.25 / 0.025 = 50.
14. The town 'C' is there in between 'A' and 'B'. If Nasir travels from A to C with a speed of 4 km/hr and C to B with 6 km/hr, what is the average speed of Nasir from A to B?
The Correct Answer is 4.8 km/h. Average speed = Total distance / Total time. Assuming AC = CB = d, total distance = 2d. Time for AC = d/4, time for CB = d/6. Total time = d/4 + d/6 = 5d/12. Average speed = 2d / (5d/12) = 24/5 = 4.8 km/h.
15. A man starting at a point walks 1 km east, then 2 km north, then 1 km east, then 1 km north, then 1 km east, and then 1 km north to arrive at his destination. What is the shortest distance between the starting point and destination?
The Correct Answer is 5 km. Total east displacement = 1 + 1 + 1 = 3 km, total north displacement = 2 + 1 + 1 = 4 km. Shortest distance = √(3² + 4²) = √(9 + 16) = √25 = 5 km.
16. What is the smallest number, which when divided by 3, 8 and 15 leaves the remainder 1, 6 and 13 respectively?
The Correct Answer is 118. For divisors 3, 8, 15 with remainders 1, 6, 13, note that 3-1=2, 8-6=2, 15-13=2. Thus, the number n satisfies n ≡ -2 (mod 3, 8, 15). Since LCM(3, 8, 15) = 120, n = 120k - 2. The smallest positive n is when k=1: n = 120 - 2 = 118. Check: 118 ÷ 3 = 39 remainder 1, 118 ÷ 8 = 14 remainder 6, 118 ÷ 15 = 7 remainder 13.
17. A perfect number is defined as a number the sum of whose divisors (excluding the number itself, but including 1) is equal to the number itself. 6 is the lowest perfect number, find the second lowest number.
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.
18. 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%.
19. Combine: 1.3 + 1.8 + 2.6 + 7.2 + 0.8
The Correct Answer is 13.7. Summing: 1.3 + 1.8 = 3.1, 3.1 + 2.6 = 5.7, 5.7 + 7.2 = 12.9, 12.9 + 0.8 = 13.7.
20. How many 3 digit numbers can be generated from 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the digits are in descending order?
The Correct Answer is 84. For a 3-digit number with digits in descending order from {1, 2, 3, 4, 5, 6, 7, 8, 9}, choose 3 distinct digits and arrange them in descending order (1 way per selection). Number of ways = C(9, 3) = (9×8×7)/(3×2×1) = 84.
21. A is east of B and west of C. H is south-west of C and B is south-east of X. Who is the farthest west?
The Correct Answer is X. A is east of B and west of C, so B is west of A, and A is west of C (B < A < C in east-west). H is south-west of C, so H is west of C. B is south-east of X, so X is west of B. Thus, X is west of B, which is west of A, which is west of C and H. Therefore, X is the farthest west.
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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 |