Knowledge Check : Arithmetic
Knowledge Check
BODMAS Rule
Q1: Evaluate: 18 + 6 ÷ 3 × 4
A) 26
B) 24
C) 22
D) 30
Q2: Find the value of (12 + 8) ÷ 5 + 6
A) 10
B) 9
C) 8
D) 11
Q3: Evaluate: 40 ÷ 5 × 3 − 4
A) 20
B) 22
C) 24
D) 26
Q4: Evaluate: 36 ÷ 6 + 5 × 2
A) 16
B) 18
C) 20
D) 22
Q5: Find the value of 72 ÷ (8 + 4) × 3
A) 12
B) 16
C) 18
D) 24
Q6: Calculate: 50 − 20 ÷ 5 × 2
A) 38
B) 42
C) 40
D) 44
Q7: Evaluate: 9 × (6 + 2) − 10
A) 62
B) 60
C) 72
D) 68
Q8: Evaluate: 100 − 50 ÷ 5 + 10
A) 90
B) 100
C) 80
D) 95
Q9: Evaluate: 64 ÷ 8 + 4 × 3
A) 16
B) 18
C) 20
D) 24
Q10: Evaluate: (9 + 3) × (5 − 2)
A) 30
B) 36
C) 42
D) 24
Q11: Find the value of 90 ÷ 10 × 2 + 4
A) 18
B) 20
C) 22
D) 24
Q12: Evaluate: 48 − 12 ÷ 3 × 2
A) 36
B) 40
C) 42
D) 44
Q13: Find value: (15 + 5) × (8 − 3)
A) 80
B) 90
C) 100
D) 70
Q14: Evaluate: 81 ÷ 9 + 6 × 2
A) 18
B) 20
C) 21
D) 24
Q15: Evaluate: (20 − 6) ÷ 2 × 5
A) 30
B) 35
C) 40
D) 45
Q16: Simplify: 100 ÷ (4 × 5)
A) 20
B) 5
C) 25
D) 10
Q17: Evaluate: 7 × 8 − 16 ÷ 4
A) 52
B) 54
C) 56
D) 60
Q18: Find the value of 144 ÷ 12 − 4 × 3
A) 6
B) 8
C) 10
D) 12
Q19: Evaluate: 25 × 4 ÷ 5 − 6
A) 10
B) 12
C) 14
D) 20
Q20: Evaluate: (15 + 5) ÷ (5 − 3) × 4
A) 20
B) 30
C) 40
D) 50
Ratios and Proportions
Q21: The ratio of 24 and 36 in simplest form is:
A) 3 : 4
B) 2 : 3
C) 4 : 6
D) 6 : 9
Q22: If 6 workers complete a job in 12 days, how many days will 8 workers take?
A) 6
B) 8
C) 9
D) 12
Q23: If 5 kg of sugar costs ₹150, what will 8 kg cost?
A) ₹200
B) ₹220
C) ₹240
D) ₹260
Q24: Which represents inverse proportion?
A) Distance and time at constant speed
B) Number of workers and time taken
C) Price and quantity
D) Marks and hours studied
Q25: If A : B = 3 : 4 and B : C = 2 : 5, find A : C.
A) 3 : 10
B) 6 : 20
C) 6 : 5
D) 4 : 5
Q26: If 10 pens cost ₹80, how many pens can be bought for ₹120?
A) 12
B) 14
C) 15
D) 16
Q27: The ratio of boys to girls in a class is 5 : 7. If there are 60 students, number of boys is:
A) 20
B) 25
C) 30
D) 35
Q28: If x : y = 2 : 5 and x = 20, find y.
A) 30
B) 40
C) 50
D) 60
Q29: Milk and water are mixed in 2 : 3 ratio. What fraction is milk?
A) 2/5
B) 3/5
C) 1/2
D) 5/2
Q30: Ratio of two numbers is 7:11 and their sum is 72. Smaller number is:
A) 21
B) 28
C) 33
D) 44
Q31: A map is drawn with scale 1 cm = 4 km. Find actual distance for 6 cm.
A) 12 km
B) 20 km
C) 24 km
D) 30 km
Q32: Which pair shows direct proportion?
A) Speed and time
B) Working days and workers
C) Distance and speed (constant time)
D) Workers and time
Q33: If cost of 3 chairs is ₹2700, find cost of 5 chairs.
A) ₹4000
B) ₹4500
C) ₹5000
D) ₹5500
Q34: If A:B = 2:3 and B:C = 4:5, find A:B:C.
A) 4:6:5
B) 8:12:15
C) 2:4:5
D) 8:10:15
Q35: A car covers 120 km in 2 hrs. How much will it cover in 5 hrs?
A) 200 km
B) 250 km
C) 300 km
D) 350 km
Q36: If 15 litres milk costs ₹600, find price of 1 litre.
A) ₹30
B) ₹40
C) ₹45
D) ₹50
Q37: The ratio of present ages of two persons is 5:6. After 6 years it becomes 7:8. Find present age of younger.
A) 20
B) 24
C) 30
D) 36
Q38: Which is NOT a proportion?
A) 3:5 = 6:10
B) 2:3 = 4:6
C) 5:7 = 10:15
D) 6:8 = 3:4
Q39: Water and milk are mixed in the ratio 4:1. If milk is 10 litres, total mixture is:
A) 40 L
B) 50 L
C) 60 L
D) 25 L
Q40: Two numbers are in ratio 9:4 and difference is 25. Larger number is:
A) 36
B) 45
C) 54
D) 60
Profit and Loss
Q41: A shopkeeper buys a pen for ₹40 and sells it for ₹50. What is the profit percentage?
A) 20%
B) 25%
C) 30%
D) 15%
Q42: A bicycle is sold for ₹2400 with a loss of 20%. What is its cost price?
A) ₹2800
B) ₹3000
C) ₹3200
D) ₹2500
Q43: A fruit seller buys 100 oranges for ₹500 and sells 80 oranges for ₹480. Find his gain or loss percentage.
A) 10% gain
B) 20% gain
C) 5% loss
D) No profit no loss
Q44: A book is marked at ₹200. A discount of 15% is given. Find the selling price.
A) ₹160
B) ₹170
C) ₹180
D) ₹150
Q45: A shopkeeper gives 10% discount but still earns 20% profit. Find the marked price if cost price is ₹500.
A) ₹650
B) ₹660
C) ₹700
D) ₹750
Q46: A man sells a watch at 15% loss for ₹850. Find the cost price.
A) ₹1000
B) ₹950
C) ₹900
D) ₹875
Q47: A trader sells sugar at 8% gain. If he sells 20 kg for ₹1080, find the cost price per kg.
A) ₹48
B) ₹50
C) ₹52
D) ₹54
Q48: A chair is marked at ₹1200. The shopkeeper gives two successive discounts of 10% and 5%. Find the selling price.
A) ₹1026
B) ₹1030
C) ₹1050
D) ₹1000
Q49: A man makes a profit of 12% on selling a cycle for ₹2800. Find the cost price.
A) ₹2500
B) ₹2600
C) ₹2480
D) ₹2400
Q50: If the selling price of an article is double its cost price, find the profit percentage.
A) 50%
B) 100%
C) 150%
D) 200%
Q51: A man sells an article at 10% gain instead of 20% gain. If CP is ₹400, find the loss in profit.
A) ₹20
B) ₹40
C) ₹50
D) ₹30
Q52: A trader gains 15% by selling rice at ₹46 per kg. What was the cost price per kg?
A) ₹40
B) ₹38
C) ₹45
D) ₹42
Q53: An article is sold at 25% loss for ₹750. Find its cost price.
A) ₹900
B) ₹1000
C) ₹950
D) ₹850
Q54: A vendor sold vegetables for ₹720 and made a profit of 20%. What was the cost price?
A) ₹600
B) ₹650
C) ₹580
D) ₹640
Q55: A shopkeeper sells an item for ₹540 after giving a discount of 10%. The marked price is:
A) ₹580
B) ₹600
C) ₹620
D) ₹550
Q56: A man sells two articles at ₹500 each. On one he gains 20%, on the other he loses 20%. Find his overall profit or loss.
A) No profit no loss
B) 4% loss
C) 2% profit
D) 5% loss
Q57: An article is sold at 25% profit. If selling price is ₹1250, find cost price.
A) ₹1000
B) ₹1100
C) ₹1200
D) ₹950
Q58: A dealer marks goods 40% above CP and gives 10% discount. Find profit percentage.
A) 26%
B) 28%
C) 30%
D) 35%
Q59: A shopkeeper increases the price of an item by 20% and then gives a discount of 20%. What is net result?
A) No change
B) 4% loss
C) 4% gain
D) 2% loss
Q60: A vendor buys oranges at 5 for ₹20 and sells at 4 for ₹20. Find his profit percentage.
A) 20%
B) 25%
C) 30%
D) 35%
Simple & Compound Interest
Q61: Find the simple interest on ₹2000 at 5% per annum for 3 years.
A) ₹200
B) ₹300
C) ₹250
D) ₹350
Q62: What will be the amount on ₹1500 at 10% per annum for 2 years (simple interest)?
A) ₹1600
B) ₹1650
C) ₹1800
D) ₹1750
Q63: A sum of ₹5000 is invested at 8% per annum. Find interest for 1.5 years.
A) ₹600
B) ₹500
C) ₹700
D) ₹650
Q64: Find the principal if SI is ₹400 in 4 years at 5%.
A) ₹1500
B) ₹2000
C) ₹1800
D) ₹1600
Q65: What will be the compound interest on ₹1000 at 10% per annum for 2 years?
A) ₹200
B) ₹210
C) ₹220
D) ₹190
Q66: Find the amount on ₹2000 at 5% per annum for 3 years compounded annually.
A) ₹2315
B) ₹2320
C) ₹2331
D) ₹2350
Q67: The difference between simple and compound interest on ₹1000 for 2 years at 10% per annum is:
A) ₹5
B) ₹10
C) ₹15
D) ₹20
Q68: If a sum of money doubles itself in 5 years at simple interest, what is the rate?
A) 10%
B) 15%
C) 20%
D) 25%
Q69: A sum becomes 4 times in 10 years at SI. Find the rate.
A) 20%
B) 25%
C) 30%
D) 35%
Q70: The compound interest on ₹2500 at 10% for 2 years is:
A) ₹500
B) ₹525
C) ₹550
D) ₹475
Q71: Find the rate if SI on ₹1200 is ₹288 in 4 years.
A) 4%
B) 5%
C) 6%
D) 8%
Q72: If the CI on ₹1000 after 2 years is ₹1025, find the rate.
A) 2.5%
B) 5%
C) 10%
D) 12%
Q73: What will be the simple interest on ₹3000 for 9 months at 8% per annum?
A) ₹160
B) ₹180
C) ₹200
D) ₹240
Q74: Find the amount if ₹5000 is invested at 12% for 1 year compounded half yearly.
A) ₹5600
B) ₹5618
C) ₹5625
D) ₹5650
Q75: The SI on a sum for 3 years is ₹720 and the principal is ₹4000. Find rate.
A) 5%
B) 6%
C) 7%
D) 8%
Q76: Compound interest on ₹4000 at 25% for 2 years is:
A) ₹2000
B) ₹2100
C) ₹2250
D) ₹2500
Q77: A sum triples itself in 6 years at SI. Find the rate of interest.
A) 20%
B) 25%
C) 30%
D) 35%
Q78: A sum of ₹3600 amounts to ₹3960 in 2 years at SI. Find rate.
A) 4%
B) 5%
C) 6%
D) 7%
Q79: If the compound interest on a sum for 2 years is ₹882 and rate is 10%, find principal.
A) ₹4000
B) ₹4200
C) ₹4500
D) ₹4800
Q80: If SI on ₹7500 at 8% for 3 years equals CI on same principal for x years at same rate, find x.
A) 2 years
B) 2.5 years
C) 1.5 years
D) 1 year
Taxation (GST, VAT, Sales Tax)
Q81: If GST rate is 5% on an item priced at ₹200, what is the GST amount?
A) ₹5
B) ₹8
C) ₹10
D) ₹12
Q82: A product has marked price ₹800. If GST at 12% is applied, what is total price?
A) ₹880
B) ₹896
C) ₹900
D) ₹912
Q83: If GST paid is ₹36 on an article whose base price is ₹600, what is the GST rate?
A) 4%
B) 5%
C) 6%
D) 8%
Q84: A furniture item costs ₹2000 excluding tax. After adding 18% GST, what is final price?
A) ₹2180
B) ₹2250
C) ₹2360
D) ₹2400
Q85: If a shopkeeper collects ₹1120 including 12% GST, what is base price?
A) ₹980
B) ₹1000
C) ₹1040
D) ₹1050
Q86: A mobile phone costs ₹15000 before tax. If GST is 18%, find tax amount.
A) ₹2400
B) ₹2600
C) ₹2700
D) ₹2800
Q87: If VAT is charged at 5% on ₹400, total bill becomes:
A) ₹410
B) ₹420
C) ₹430
D) ₹440
Q88: An article has base price ₹250. After adding 8% GST, what is final amount?
A) ₹270
B) ₹268
C) ₹280
D) ₹260
Q89: A refrigerator is sold for ₹23600 including 18% GST. What is its basic price?
A) ₹20000
B) ₹21000
C) ₹22000
D) ₹22500
Q90: If total GST collected is ₹90 on a product priced at ₹1500, find GST rate.
A) 4%
B) 6%
C) 8%
D) 10%
Q91: A TV cost ₹18000 without tax. GST at 12% is added. What is final price?
A) ₹19800
B) ₹20000
C) ₹20160
D) ₹21000
Q92: If a customer pays ₹560 including tax and tax is 12%, find base price.
A) ₹480
B) ₹500
C) ₹510
D) ₹520
Q93: VAT at 10% on ₹350 equals:
A) ₹30
B) ₹35
C) ₹40
D) ₹45
Q94: A gas cylinder costs ₹900 plus 5% GST. Find total price.
A) ₹930
B) ₹935
C) ₹945
D) ₹950
Q95: An item costs ₹400 before tax. Tax paid is ₹32. Find tax rate.
A) 6%
B) 7%
C) 8%
D) 9%
Q96: After adding GST at 5%, price becomes ₹525. What was original price?
A) ₹450
B) ₹480
C) ₹500
D) ₹510
Q97: A laptop sold for ₹47200 includes 18% GST. Find GST amount.
A) ₹7200
B) ₹6800
C) ₹8000
D) ₹7400
Q98: A pair of shoes cost ₹1200 excluding tax. After adding 12% GST, selling price is:
A) ₹1320
B) ₹1340
C) ₹1350
D) ₹1380
Q99: If CGST and SGST are each 9%, total GST equals:
A) 9%
B) 12%
C) 15%
D) 18%
Q100: A product inclusive of 18% GST costs ₹2360. What is base price?
A) ₹1900
B) ₹2000
C) ₹2100
D) ₹2200
Ratios & Proportions
Q101: The ratio of boys to girls in a class is 5 : 3. If there are 24 students in total, how many are boys?
A) 12
B) 15
C) 18
D) 20
Q102: Divide ₹720 in the ratio 2 : 3.
A) ₹240 and ₹480
B) ₹300 and ₹420
C) ₹288 and ₹432
D) ₹320 and ₹400
Q103: If A : B = 3 : 4 and B : C = 2 : 5, find A : C.
A) 6 : 20
B) 3 : 10
C) 12 : 10
D) 15 : 20
Q104: The ratio of income to expenditure of a person is 5 : 3. If his savings are ₹8000, find his income.
A) ₹18000
B) ₹20000
C) ₹24000
D) ₹25000
Q105: The ratio of milk and water in a mixture is 7 : 3. If the mixture is 40 litres, how much milk is there?
A) 24 L
B) 28 L
C) 30 L
D) 35 L
Q106: If x : y = 4 : 5 and y : z = 10 : 3, then x : y : z is:
A) 8 : 10 : 3
B) 4 : 5 : 3
C) 8 : 10 : 6
D) 4 : 10 : 6
Q107: A sum of money is divided among A, B and C in the ratio 2 : 3 : 5. If C gets ₹1500, what is total amount?
A) ₹3000
B) ₹4500
C) ₹5000
D) ₹3750
Q108: If 15 pens cost ₹90, find the cost of 25 pens.
A) ₹120
B) ₹135
C) ₹150
D) ₹160
Q109: The ratio of ages of Raju and Mohan is 4 : 7. After 6 years, it becomes 5 : 8. Find their present ages.
A) 16 and 28
B) 8 and 14
C) 20 and 35
D) 12 and 21
Q110: In a mixture of 60 litres, ratio of milk to water is 3 : 2. How much water must be added to make the ratio 3 : 5?
A) 30 L
B) 24 L
C) 20 L
D) 15 L
Q111: If the ratio of two numbers is 5 : 7 and their sum is 96, find the larger number.
A) 56
B) 42
C) 48
D) 60
Q112: The ratio of speeds of two trains is 2 : 3. If the first train travels 120 km in 2 hours, find speed of the second train.
A) 60 km/h
B) 80 km/h
C) 90 km/h
D) 100 km/h
Q113: Divide ₹960 among A and B such that A gets 20% more than B.
A) 480 and 480
B) 528 and 432
C) 500 and 460
D) 540 and 420
Q114: If x varies inversely as y and x = 8 when y = 5, find x when y = 2.
A) 16
B) 20
C) 25
D) 40
Q115: Three numbers are in ratio 1 : 2 : 4. Their sum is 28. Find the largest number.
A) 12
B) 14
C) 16
D) 8
Q116: If the ratio of boys to girls in a school is 7 : 5 and there are 840 students, find number of girls.
A) 350
B) 300
C) 400
D) 450
Q117: If sugar costs ₹40 per kg, how much will 3.5 kg cost?
A) ₹120
B) ₹140
C) ₹160
D) ₹180
Q118: If 6 workers can complete a work in 12 days, how many days will 8 workers take?
A) 6 days
B) 8 days
C) 9 days
D) 10 days
Q119: If the ratio of length and breadth of a rectangle is 4 : 3 and its perimeter is 70 cm, find its length.
A) 20 cm
B) 16 cm
C) 18 cm
D) 24 cm
Q120: If 8 units of a product cost ₹96, how many units can be bought for ₹240?
A) 16
B) 18
C) 20
D) 24