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NCERT Class 8 Mathematics MCQ
Comparing Quantities
with Answers
Question : The ratio of speed of cycle 12 km per hour to the speed of scooter 36 km per hour is
(a) 1:2
(b) 1:3
(c) 1:4
(d) None of the above
Answer : (b)Show Answer :
Explanation: Speed of cycle/Speed of scooter = 12/36 = ⅓
Question : The ratio of 10m to 10 km is:
(a) 1/10
(b) 1/100
(c) 1/1000
(d) 1000
Answer : (c)Show Answer :
Explanation: 10m/10km = 10m/10000m = 1/1000
Question : The percentage of 3:4 is:
(a) 75%
(b) 50%
(c) 25%
(d) 100%
Answer : (a)Show Answer :
Explanation: 3:4 = ¾
(3×100)/(4×100) = ¾ x 100% = 0.75 x 100% = 75%
Question : The percentage of 2:5
(a) 20%
(b) 50%
(c) 60%
(d) 40%
Answer : (d)Show Answer :
Explanation: 2:5 = ⅖ = ⅖ x 100% = 0.4 x 100% = 40%
Question : If 50% of students are good at science out of 20 students. Then the number of students good at science is:
(a) 10
(b) 15
(c) 5
(d) 11
Answer : (a)Show Answer :
Explanation: 50% of students out of 20 students = 50% of 20
= (50/100) x 20
= ½ x 20
= 10
Question : The price of a motorcycle was Rs. 34,000 last year. It has increased by 20% this year. The price of motorcycle now is:
(a) Rs. 36,000
(b) Rs. 38,800
(c) Rs. 40,800
(d) Rs. 32,000
Answer : (c)Show Answer :
Explanation: 20% of Rs.34,000 = 20/100 x 34,000 = Rs.6800
New price = Rs. 34,000+Rs.6800
= Rs. 40,800
Question : An item marked at Rs. 840 is sold for Rs. 714. The discount % is:
(a) 10%
(b) 15%
(c) 20%
(d) 25%
Answer : (b)Show Answer :
Explanation: Discount = Marked Price – Sale Price
= 840 – 714
= Rs. 126
Discount % = (126/840) x 100% = 15%
Question : A person got a 10% increase in his salary. If his salary was Rs. 50000, then the new salary is:
(a) Rs. 55000
(b) Rs. 60000
(c) Rs. 45000
(d) Rs. 65000
Answer : (a)Show Answer :
Explanation: Previous salary = Rs. 50000
10% of Rs.50000 = (10/100) x 50000 = Rs. 5000
New salary = Rs. 50000 + Rs. 5000
= Rs. 55000/-
Question : The cost of the article was Rs. 15500 and Rs. 500 was spent on its repairing. If it is sold for a profit of 15%. The selling price of the article is:
(a) Rs.16400
(b) Rs.17400
(c) Rs.18400
(d) Rs.19400
Answer : (c)Show Answer :
Explanation: Total cost = 15500+500 = 16000
Profit % = (Profit/Cost price) x 100
Profit = (Profit% x Cost price)/100
P = (15×16000)/100 = 2400
Selling Price = Profit + cost price = 2400 + 16000 = Rs.18400
Question : Waheeda bought an air cooler for Rs. 3300 including a tax of 10%. The price of the air cooler before VAT was added is:
(a) Rs. 2000
(b) Rs. 3000
(c) Rs. 2500
(d) Rs. 2800
Answer : (b)Show Answer :
Explanation:10% VAT on Rs.100 will make it Rs.110
So, for price including VAT Rs.110, the original price is Rs.100
Then, Price including VAT Rs. 3300, the original price = Rs. (100/110) x 3300 = Rs. 3000
Question : Find the ratio of 5 m to 10 km.
(a) It is 1:3
(b) It is 3000:1
(c) It is 2000:1
(d) It is 1:2000
Answer :(d) It is 1:2000Show Answer :
Question : The ratio of 10 m to 1 km is
(a) 1 : 10
(b) 10 : 1
(c) 1 : 100
(d) 100 : 1.
Answer :(c) 1 : 100Show Answer :
Question : The ratio of 10m to 10 km is:
(a) 1/10
(b) 1/100
(c) 1/1000
(d) 1000
Answer :(c) 1/1000Show Answer :
Question : Out of 60 students in a class, 25% passed. How many students passed?
(a) 10
(b) 15
(c) 30
(d) 40
Answer :(d) 15Show Answer :
Question : Calculate compound interest on Rs 10,800 for 3 years at 12.5% per annum compounded annually.
(a) 13,377.34
(b) 4577.34
(c) 14,377.34
(d) None of these
Answer :(d) 4577.34Show Answer :
Question : Find selling price (SP) if a profit of 5% is made on a cycle of Rs 700 with Rs 50 as overhead charges.
(a) Rs 600
(b) Rs 787.50
(c) Rs 780
(d) None of these
Answer :(d) Rs 787.50Show Answer :
Question : The ratio of 10 km per hour to 30 km per hour is
(a) 3 : 1
(b) 1:2
(c) 1 : 3
(d) 2 : 1.
Answer :(c) 1 : 3Show Answer :
Question : The percentage of 2:5
(a) 20%
(b) 50%
(c) 60%
(d) 40%
Answer :(d) 40%Show Answer :
Question : The simple interest on Rs 4000 for 2 years at 8% per annum is
(a) Rs 180
(b) Rs 640
(c) Rs 1200
(d) Rs 1600
Answer :(d) Rs 640Show Answer :
Question : The price of a scooter was Rs 34,000 last year. It has increased by 20% this year. What is the price now?
(a) Rs 30,800
(b) Rs 30,400
(c) Rs 40,800
(d) Rs 40,400
Answer :(c) Rs 40,800Show Answer :
Question : An item marked at Rs 840 is sold for Rs 714. What is the discount %?
(a) 20%
(b) 10%
(c) 15%
(d) none of these
Answer :(c) 15%Show Answer :
Question : The ratio 4 : 25 converted to percentage is
(a) 8%
(b) 4%
(c) 16%
(d) 25%.
Answer :(c) 16%Show Answer :
Question : A person got a 10% increase in his salary. If his salary was Rs. 50000, then the new salary is:
(a) Rs. 55000
(b) Rs. 60000
(c) Rs. 45000
(d) Rs. 65000
Answer :(a) Rs. 55000Show Answer :
Question : On what principal, simple interest of 5 years at the rate of 6% is Rs 90?
(a) Rs 250
(b) Rs 300
(c) Rs 400
(d) Rs 450
Answer :(d) Rs 300Show Answer :
Question : Sohan bought a washing machine for Rs 40,000, then spent Rs 5,000 on its repairs and sold it for Rs 50,000. Find his loss or gain per cent.
(a) Loss 10%
(b) Loss 20%
(c) Profit 11%
(d) none of these
Answer :(c) Profit 11%Show Answer :
Question : Find the ratio of speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.
(a) It is 1:2
(b) It is 1:3
(c) It is 2:1
(d) It is 3:1
Answer :(a) It is 1:2Show Answer :
Question : There are 50 students in a class of which 40 are boys and the rest are girls. The ratio of the number of boys and number of girls is
(a) 2 : 3
(6) 1 : 5
(c) 4:1
(d) 2:5.
Answer :(c) 4:1Show Answer :
Question : Waheeda bought an air cooler for Rs. 3300 including a tax of 10%. The price of the air cooler before VAT was added is:
(a) Rs. 2000
(b) Rs. 3000
(c) Rs. 2500
(d) Rs. 2800
Answer :(d) Rs. 3000Show Answer :
Question : The compound interest on Rs 4000 for one year at 5% p.a payable half-yearly is:
(a) Rs 400
(b) Rs 405
(c) Rs 200
(d) Rs 202.50
Answer :(d) Rs 202.50Show Answer :
Question : Find the ratio of speed of a car 50 km per hour to the speed of scooter 40 km per hour.
(a) It is 4:5
(b) It is 4:1
(c) It is 5:4
(d) It is 1:5
Answer :(c) It is 5:4Show Answer :
Question : A sum of money, at compound interest, yields Rs. 200 and Rs. 220 at the end of first and second years respectively. What is the rate percent?
(a) 20%
(b) 15%
(c) 10%
(d) 5%
Answer :(c) 10%Show Answer :
Question : Apala has Rs 200 with her. She spent 80% amount she had. How much money is left with her ?
(a)Rs 10
(b) Rs 20
(c) Rs 30
(d) Rs 40.
Answer :(d) Rs 40.Show Answer :
Question : The discount is always calculated on which of the following?
(a) SP
(b) CP
(c) marked price
(d) none of these.
Answer :(c) marked priceShow Answer :
Question : The value of an article which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs.9680, what is the price at which it was purchased?
(a) Rs.10000
(b) Rs.12500
(c) Rs.14575
(d) Rs.16250
Answer :(d) Rs.12500Show Answer :
Question : The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the end of the year 2000.
(a) 25153
(b) 24153
(c) 23153
(d) None of these
Answer :(c) 23153Show Answer :
Question : A bag is available for Rs 90. The shopkeeper allows 10% discount on the marked price. What is the marked price of the bag ?
(a) Rs 100
(b) Rs 90
(c) Rs 110
(d) Rs 10.
Answer :(a) Rs 100Show Answer :
Question : In what time will Rs.1000 amount to Rs.1331 at 10% p.a. compounded annually?
(a) 4 years
(b) 3 years
(c) 2 years
(d) 1 year
Answer :(d) 3 yearsShow Answer :
Question : Calculate compound interest on Rs 10,800 for 3 years at 12.5% per annum compounded annually.
(a) 13,377.34
(b) 4577.34
(c) 14,377.34
(d) None of these
Answer :(d) 4577.34Show Answer :
