Knowledge Check : Arithmetic
Knowledge Check – Arithmetic
Ratios and Proportions
Q1: The ratio of 12 to 18 in simplest form is
A) 2:3
B) 3:2
C) 4:6
D) 6:12
Q2: Which pair is in inverse proportion?
A) Speed and distance
B) Speed and time for fixed distance
C) Marks and rank
D) Price and discount
Q3: If 5 kg of rice costs ₹200, what is the cost of 8 kg?
A) ₹280
B) ₹300
C) ₹320
D) ₹350
Q4: If a:b = 2:5 and b:c = 10:3, find a:c.
A) 2:3
B) 4:3
C) 5:3
D) 6:5
Q5: The ages of A and B are in the ratio 3:7. If B is 28 years old, find A’s age.
A) 10
B) 12
C) 15
D) 21
Q6: Which statement shows direct proportion?
A) More workers, less time
B) More speed, less time
C) More workers, more work done
D) More discount, less selling price
Q7: If 9 men can do a work in 6 days, how long will 3 men take (same work)?
A) 9 days
B) 12 days
C) 15 days
D) 18 days
Q8: If x and y are directly proportional and y = 12 when x = 4, find y when x = 10.
A) 20
B) 25
C) 30
D) 40
Q9: The ratio of 2 hours to 30 minutes is
A) 2:1
B) 4:1
C) 3:1
D) 1:4
Q10: Which ratio is equivalent to 6:15?
A) 3:5
B) 5:3
C) 2:3
D) 4:5
Q11: If 4 litres of petrol costs ₹420, what is the cost per litre?
A) ₹90
B) ₹95
C) ₹100
D) ₹105
Q12: If 2/3 = x/12, find x.
A) 6
B) 8
C) 10
D) 12
Q13: Which of the following is NOT a proportion?
A) 2:3 = 4:6
B) 3:5 = 9:15
C) 4:7 = 12:20
D) 5:6 = 10:12
Q14: Which situation represents inverse proportion?
A) Area and length for fixed width
B) Time and speed for fixed distance
C) Number of items and total cost
D) Marks and percentage
Q15: If the ratio of chalk to duster is 2:5 and total items are 21, how many dusters are there?
A) 10
B) 12
C) 15
D) 18
Percentage and Its Applications
Q16: A student scored 180 marks out of 240. His percentage is
A) 70%
B) 72%
C) 75%
D) 80%
Q17: The marked price of a shirt is ₹800. If the shopkeeper gives 15% discount, the selling price is
A) ₹680
B) ₹700
C) ₹720
D) ₹750
Q18: A shopkeeper buys an item for ₹500 and sells it for ₹600. Profit percentage is
A) 15%
B) 18%
C) 20%
D) 25%
Q19: A book was bought for ₹750 and sold for ₹675. The loss percentage is
A) 5%
B) 8%
C) 9%
D) 10%
Q20: A mobile phone costs ₹2000 before tax. If GST is 18%, the bill amount is
A) ₹2160
B) ₹2300
C) ₹2360
D) ₹2400
Q21: 25% of a number is 40. The number is
A) 100
B) 120
C) 140
D) 160
Q22: A student attended 180 days out of 200 working days. Attendance percentage is
A) 85%
B) 88%
C) 90%
D) 92%
Q23: The marked price of a dress is ₹1200 and discount is 20%. The selling price is
A) ₹960
B) ₹980
C) ₹1000
D) ₹1020
Q24: An article is sold for ₹400 with a profit of 25% on cost price. The cost price is
A) ₹250
B) ₹300
C) ₹320
D) ₹350
Q25: A product of marked price ₹1000 is first given 10% discount and then 20% discount on the reduced price. Final price is
A) ₹700
B) ₹720
C) ₹750
D) ₹800
Q26: Which is greater: 30% of 200 or 25% of 240?
A) 30% of 200
B) 25% of 240
C) Both are equal
D) Cannot be compared
Q27: A person saves 12% of his monthly income. If he saves ₹3000, his income is
A) ₹20,000
B) ₹22,000
C) ₹25,000
D) ₹30,000
Q28: GST at 5% on an item is ₹25. The price before tax is
A) ₹400
B) ₹450
C) ₹500
D) ₹550
Q29: A shopkeeper offers 15% discount on a shirt priced at ₹1600. The discount amount is
A) ₹200
B) ₹220
C) ₹240
D) ₹260
Q30: A bill including 18% GST is ₹590. The price before tax is
A) ₹472
B) ₹500
C) ₹520
D) ₹550
Interest
Q31: The formula for Simple Interest (SI) is
A) SI = (P × R × T) ÷ 100
B) SI = P × (1 + R/100)
C) SI = (R × T) ÷ 100
D) SI = (P × R² × T) ÷ 100
Q32: Find the Simple Interest on ₹5000 at 8% per annum for 2 years.
A) ₹600
B) ₹700
C) ₹800
D) ₹900
Q33: On a principal of ₹4000, the simple interest for 3 years is ₹600. The rate of interest per annum is
A) 4%
B) 5%
C) 6%
D) 8%
Q34: The amount after 3 years on ₹2000 at 10% simple interest per annum is
A) ₹2200
B) ₹2400
C) ₹2600
D) ₹2800
Q35: In Simple Interest, if time is doubled (same P and R), the interest will
A) Become half
B) Remain same
C) Double
D) Become zero
Q36: Which statement about Compound Interest (CI) is TRUE?
A) CI is always less than SI
B) CI is always equal to SI
C) CI is generally more than SI for same P, R, T
D) CI does not depend on time
Q37: Find the Compound Interest on ₹10,000 at 10% per annum for 2 years (compounded annually).
A) ₹1000
B) ₹2000
C) ₹2100
D) ₹2200
Q38: For the same values in Q37, the Simple Interest would be
A) ₹1800
B) ₹1900
C) ₹2000
D) ₹2100
Q39: Amount after 1 year at 12% simple interest is ₹672. The principal is
A) ₹560
B) ₹600
C) ₹620
D) ₹640
Q40: A sum doubles itself in 10 years at simple interest. The rate of interest is
A) 5%
B) 8%
C) 10%
D) 12%
Q41: Which relation between Amount (A), Principal (P) and Interest (I) is correct?
A) A = P − I
B) A = P + I
C) A = P × I
D) A = I − P
Q42: Find the Compound Interest on ₹8000 at 5% per annum for 2 years (annual compounding).
A) ₹400
B) ₹800
C) ₹820
D) ₹900
Q43: ₹5000 is invested at 8% per annum compound interest, compounded half-yearly for 1 year. The amount is
A) ₹5200
B) ₹5300
C) ₹5408
D) ₹5500
Q44: On a sum of ₹2500, the simple interest for 3 years is ₹375. Rate of interest is
A) 4%
B) 5%
C) 6%
D) 7%
Q45: Which one is NOT required to calculate simple interest?
A) Principal
B) Rate
C) Time
D) Number of installments
Simplification and Operations (BODMAS)
Q46: Value of 8 + 12 ÷ 4 is
A) 5
B) 8
C) 11
D) 20
Q47: Value of 6 + 2 × 5 is
A) 16
B) 26
C) 30
D) 40
Q48: Value of (15 − 5) × 3 is
A) 20
B) 25
C) 30
D) 35
Q49: Value of 24 ÷ (3 × 4) is
A) 1
B) 2
C) 3
D) 4
Q50: Value of 50 − 2³ × 3 is
A) 20
B) 24
C) 26
D) 32
Q51: Value of 36 ÷ 3 ÷ 2 is
A) 2
B) 4
C) 6
D) 12
Q52: Value of (18 + 6) ÷ (4 − 1) is
A) 6
B) 7
C) 8
D) 9
Q53: Value of 5 × {6 − (4 + 1)} is
A) 0
B) 5
C) 10
D) 25
Q54: Value of 40 ÷ [5 × (2 + 2)] is
A) 2
B) 3
C) 4
D) 5
Q55: Value of 7 + 3 × 4 − 5 is
A) 9
B) 12
C) 14
D) 16
Q56: Value of 2 + 3 × (4 + 6 ÷ 3) is
A) 14
B) 16
C) 18
D) 20
Q57: Value of (25 − 5)² ÷ 4 is
A) 50
B) 75
C) 100
D) 125
Q58: Value of 48 ÷ (2 × 4) + 6 is
A) 8
B) 10
C) 12
D) 14
Q59: Value of 60 − 18 ÷ 3 × 2 is
A) 36
B) 42
C) 48
D) 54
Q60: Value of {30 − 6 × (2 + 3)} ÷ 3 is
A) 0
B) 2
C) 4
D) 6