TestUstad

Free Arithmetic MCQs with Answers

1,060 Arithmetic MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Arithmetic applies numerical operations to percentages, ratios, proportions, profit and loss, averages, and practical rate problems. Questions also involve time, speed and distance, and time and work, requiring careful use of units, direct and inverse relationships, weighted values, and work-rate methods rather than algebraic manipulation.

Last updated

PercentagesRatio and ProportionProfit and LossAveragesTime, Speed and DistanceTime and Work

1,060 questions · page 33 of 53

641. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number ?

  • A. 2 : 5
  • B. 3 : 7
  • C. 5 : 3
  • D. 7 : 3

Explanation: Let the first and second numbers be A and B. The condition 40% of A = two-thirds of B gives 0.4A = 2B/3, so A/B = (2/3)/0.4 = (2/3)/(2/5)…

Read the full explanation →
Correct answer: 5 : 3

642. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

  • A. 2 : 3 : 4
  • B. 6 : 7 : 8
  • C. 6 : 8 : 9
  • D. None of these

Explanation: Apply each increase to its corresponding ratio term: 5 x 1.40 = 7, 7 x 1.50 = 10.5, and 8 x 1.75 = 14.

Read the full explanation →
Correct answer: 2 : 3 : 4

643. In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

  • A. 50
  • B. 100
  • C. 150
  • D. 200

Explanation: Let the numbers of 25-paisa, 10-paisa and 5-paisa coins be k, 2k and 3k.

Read the full explanation →
Correct answer: 150

644. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :__________?

  • A. 2 : 5
  • B. 3 : 5
  • C. 4 : 5
  • D. 6 : 7

Explanation: Let the third number be k. The two numbers are 120% of k and 150% of k, so their ratio is 1.2k:1.5k = 12:15 = 4:5.

Read the full explanation →
Correct answer: 4 : 5

645. A surn of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share ?

  • A. Rs. 500
  • B. Rs. 1500
  • C. Rs. 2000
  • D. None of these

Explanation: The difference between C and D is 4 - 3 = 1 proportionate part, and this equals Rs.1000.

Read the full explanation →
Correct answer: Rs. 2000

646. The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is :__________?

  • A. 20
  • B. 30
  • C. 48
  • D. 58

Explanation: Let the first two numbers be 2k and 3k, and the last two be 5m and 8m. Since 3k = 5m, use m = 3t and k = 5t, giving the numbers 10t, 15t…

Read the full explanation →
Correct answer: 30

647. Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is :___________?

  • A. 6
  • B. 12
  • C. 18
  • D. None of these

Explanation: Write the numbers as 3k, 4k and 6k. Their product is 3k x 4k x 6k = 72k^3 = 1944, so k^3 = 27 and k = 3; the largest number is 6k = 18.

Read the full explanation →
Correct answer: 18

648. A car can travel 360km with a ¾ full tank. How many km can it travel with a 2/3 full tank?

  • A. 400
  • B. 320
  • C. 240
  • D. 300

Explanation: Distance is proportional to the amount of fuel when the car's consumption is unchanged.

Read the full explanation →
Correct answer: 320

649. Atif and Bilal, 110 km apart, start cycling towards each other. If Atif covers a distance of 6 km to Bilal's 5 km, how far will Atif have travelled when they meet?

  • A. 66 km
  • B. 55 km
  • C. 50 km
  • D. 60 km

Explanation: Atif's distance and Bilal's distance are in the ratio 6:5, so Atif covers 6/11 of the total 110 km.

Read the full explanation →
Correct answer: 60 km

650. 12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?

  • A. 14
  • B. 15
  • C. 16
  • D. 18

Explanation: The tank's capacity is 12 x 13.5 litres = 162 litres. With 9-litre buckets, the number needed is 162 litres / 9 litres = 18 buckets.

Read the full explanation →
Correct answer: 18

651. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

  • A. 2700
  • B. 1080
  • C. 450
  • D. 1800

Explanation: Six machines produce 270 bottles per minute, so one machine produces 270/6 = 45 bottles per minute.

Read the full explanation →
Correct answer: 1800

652. Twelve men can do a work in twenty days while twenty women can finish the same work in sixteen days. Find the ratio between the capacity of a man and a woman.

  • A. 3:4
  • B. 5:4
  • C. 4:3
  • D. 5:3

Explanation: The same work can be represented as 12 men x 20 days = 240 man-days or 20 women x 16 days = 320 woman-days.

Read the full explanation →
Correct answer: 4:3

653. A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is_________?

  • A. 1:3
  • B. 4:3
  • C. 2:3
  • D. 2:1

Explanation: The work equals 20 women x 16 days = 320 woman-days and also 16 men x 15 days = 240 man-days.

Read the full explanation →
Correct answer: 4:3

654. A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both he must invest the money in the ratio_________?

  • A. 3:4
  • B. 3:5
  • C. 4:5
  • D. 16:15

Explanation: For equal dividends, investment is inversely proportional to the dividend earned per rupee.

Read the full explanation →
Correct answer: 16:15

655. Masood invests a part of Rs. 12000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?

  • A. Rs. 4500
  • B. Rs. 6000
  • C. Rs. 5500
  • D. Rs 4000Education

Explanation: If x is invested in the 12% stock at Rs. 120, its income is x x 12/120 = 0.10x. The remaining Rs.

Read the full explanation →
Correct answer: Rs 4000Education

656. A invested some money in 10% stock at 96. If B wants to invest in an equality good 12% stock, he must purchase a stock worth of___________?

  • A. Rs.50
  • B. Rs.105
  • C. Rs.115.20
  • D. Rs.125.40

Explanation: The 10% stock at Rs. 96 yields 10/96 per rupee invested. For an equally good 12% stock priced at x, set 12/x = 10/96, giving x = (12 x Rs.

Read the full explanation →
Correct answer: Rs.115.20

657. Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is___________?

  • A. Rs. 4800
  • B. Rs. 5400
  • C. Rs. 5000
  • D. Rs. 5600

Explanation: The 9% stock at Rs. 75 yields 9/75 = 0.12 of the investment, while the 10% stock at Rs. 80 yields 10/80 = 0.125.

Read the full explanation →
Correct answer: Rs. 5000

658. A invested some money in 10% stock at 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of__________?

  • A. Rs. 80
  • B. Rs. 115.20
  • C. Rs. 120
  • D. Rs. 125.40

Explanation: The 10% stock at Rs. 96 gives a yield of 10/96 per rupee invested. If the 12% stock is equally good and its price is P, then 12/P = 10/96…

Read the full explanation →
Correct answer: Rs. 115.20

659. Rayan invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Rayan's investments if the interests from those investments are equal?

  • A. 4 : 3
  • B. 3 : 2
  • C. 6 : 5
  • D. 7 : 6
  • E. None of theseFinding Low Interest Personal Loans

Explanation: Equal simple interest means P1 x 6% x T = P2 x 7% x T, so P1:P2 = 7:6. Option c, 6:5, incorrectly uses the interest rates in the same…

Read the full explanation →
Correct answer: 7 : 6

660. In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?

  • A. 80%
  • B. 100%
  • C. 84%
  • D. 87.5%
  • E. None of these

Explanation: In 180 g of mixture, milk is 80% × 180 g = 144 g and water is 36 g. Adding 36 g of pure milk gives 180 g milk in a total of 216 g, so the…

Read the full explanation →
Correct answer: None of these
Start Free Arithmetic Practice MCQs Test