Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

Area Average Bankers Discount Boats and Streams Calendar Chain Rule Clock Compound Interest Decimal Fraction Height and Distance Logarithm Mixture Numbers Odd Man Out and Series Partnership Percentage Permutation and Combination Pipes and Cistern Probability Problems on Ages Problems on H.C.F and L.C.M Problems on Numbers Problems on Trains Profit and Loss Races and Games Ratio and Proportion Simple Interest Simplification Square Root and Cube Root Stocks and Shares Surds and Indices Time and Distance Time and Work True Discount Volume and Surface Area

Q. What is the day of the week on March 1, 2025 if January 1, 2025 is a Wednesday?

A. Friday
B. Saturday
C. Sunday
D. Monday

Solution

From January 1 to March 1, there are 59 days (31 days in January + 28 days in February). 59 days = 8 weeks + 3 days. Wednesday + 3 days = Saturday.

Correct Answer: B — Saturday

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Q. What is the decimal equivalent of 5/8?

A. 0.55
B. 0.6
C. 0.625
D. 0.7

Solution

5 divided by 8 equals 0.625.

Correct Answer: C — 0.625

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Q. What is the decimal equivalent of 75%?

A. 0.5
B. 0.6
C. 0.7
D. 0.75

Solution

75% = 75/100 = 0.75.

Correct Answer: D — 0.75

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Q. What is the effective amount received if a bill of Rs. 20000 is discounted at 10% for 3 months?

A. Rs. 19500
B. Rs. 19800
C. Rs. 19750
D. Rs. 19600

Solution

Banker's Discount = (20000 * 10 * 3/12) / 100 = Rs. 500; Effective Amount = 20000 - 500 = Rs. 19500

Correct Answer: B — Rs. 19800

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Q. What is the effective interest earned if the Banker's Discount on a loan of $2000 for 1 year at 5% is $100?

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

Solution

Effective interest = Banker's Discount = $100.

Correct Answer: A — $100

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Q. What is the effective interest rate if the Banker's Discount on a loan of $2000 for 1 year at 5% is $100?

A. 5%
B. 10%
C. 15%
D. 20%

Solution

Effective Interest Rate = (Banker's Discount / Principal) × 100 = (100 / 2000) × 100 = 5%.

Correct Answer: A — 5%

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Q. What is the effective interest rate if the Banker's Discount on a loan of $2000 for 2 years at 5% is $200?

A. 10%
B. 5%
C. 15%
D. 20%

Solution

Effective Interest Rate = (Banker's Discount / Principal) / Time = (200 / 2000) / 2 = 10%.

Correct Answer: A — 10%

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Q. What is the effective interest rate if the Banker's Discount on a loan of $2000 for 1 year at 15% is $300?

A. 15%
B. 20%
C. 25%
D. 10%

Solution

Effective Interest Rate = (Banker's Discount / Principal) × 100 = (300 / 2000) × 100 = 15%.

Correct Answer: A — 15%

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Q. What is the face value of a bill if the bankers' discount is Rs. 300, the rate is 10% per annum, and the time is 6 months?

A. Rs. 6000
B. Rs. 5000
C. Rs. 4000
D. Rs. 3000

Solution

Face Value = BD / (Rate × Time) = 300 / (0.10 × 0.5) = Rs. 6000.

Correct Answer: A — Rs. 6000

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Q. What is the face value of a bill if the bankers' discount is Rs. 500, the rate is 10% per annum, and the time is 6 months?

A. Rs. 5000
B. Rs. 6000
C. Rs. 7000
D. Rs. 8000

Solution

Face Value = BD / (Rate × Time) = 500 / (10 × 0.5) = Rs. 5000.

Correct Answer: A — Rs. 5000

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Q. What is the greatest common divisor (GCD) of 24 and 36?

A. 6
B. 8
C. 12
D. 18

Solution

The GCD of 24 and 36 can be found by listing the factors: 24 = 2^3 * 3, 36 = 2^2 * 3^2. The GCD is 2^2 * 3 = 12.

Correct Answer: C — 12

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Q. What is the H.C.F. of 24 and 36?

A. 12
B. 6
C. 18
D. 24

Solution

The H.C.F. of 24 and 36 is 12.

Correct Answer: A — 12

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Q. What is the H.C.F. of 64 and 48?

A. 16
B. 8
C. 32
D. 24

Solution

The H.C.F. of 64 and 48 is 16.

Correct Answer: A — 16

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Q. What is the H.C.F. of 81 and 27?

A. 27
B. 9
C. 3
D. 81

Solution

The H.C.F. of 81 and 27 is 27.

Correct Answer: A — 27

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Q. What is the L.C.M. of 14 and 35?

A. 70
B. 140
C. 28
D. 105

Solution

The L.C.M. of 14 and 35 is 70.

Correct Answer: A — 70

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Q. What is the L.C.M. of 15 and 20?

A. 60
B. 30
C. 45
D. 75

Solution

The L.C.M. of 15 and 20 is 60.

Correct Answer: A — 60

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Q. What is the L.C.M. of 5, 10, and 15?

A. 30
B. 15
C. 45
D. 60

Solution

The L.C.M. of 5, 10, and 15 is 30, as it is the smallest number that is a multiple of all three.

Correct Answer: A — 30

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Q. What is the L.C.M. of 6, 8, and 12?

A. 24
B. 48
C. 36
D. 60

Solution

The L.C.M. of 6, 8, and 12 is 24.

Correct Answer: A — 24

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Q. What is the L.C.M. of 8 and 12?

A. 24
B. 48
C. 36
D. 16

Solution

The L.C.M. of 8 and 12 is 24.

Correct Answer: A — 24

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Q. What is the L.C.M. of 8, 12, and 16?

A. 48
B. 32
C. 64
D. 24

Solution

The L.C.M. of 8, 12, and 16 is 48.

Correct Answer: A — 48

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Q. What is the L.C.M. of 9 and 12?

A. 36
B. 18
C. 27
D. 24

Solution

The L.C.M. of 9 and 12 is 36, as it is the smallest number that is a multiple of both.

Correct Answer: A — 36

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Q. What is the L.C.M. of 9 and 15?

A. 45
B. 30
C. 60
D. 75

Solution

The L.C.M. of 9 and 15 is 45.

Correct Answer: A — 45

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Q. What is the least common multiple (LCM) of 12 and 15?

A. 30
B. 60
C. 90
D. 120

Solution

The LCM of two numbers is found by taking the highest power of each prime factor. The prime factorization of 12 is 2^2 * 3 and for 15 is 3 * 5. Thus, LCM = 2^2 * 3 * 5 = 60.

Correct Answer: B — 60

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Q. What is the maturity value of a bill of $1000 with a Banker's Discount of $20 for 3 months?

A. $980
B. $1000
C. $1020
D. $1040

Solution

Maturity Value = Principal + BD = 1000 + 20 = $1020

Correct Answer: C — $1020

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Q. What is the odd one out in the series: 10%, 20%, 30%, 50%, 40%?

A. 10%
B. 20%
C. 30%
D. 50%

Solution

50% is the odd one out as it does not follow the increasing pattern of 10%, 20%, 30%, and 40%.

Correct Answer: D — 50%

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Q. What is the odd one out in the series: 10%, 20%, 30%, 50%, 60%?

A. 10%
B. 20%
C. 30%
D. 50%

Solution

50% is the odd one out as it does not follow the pattern of increasing by 10%.

Correct Answer: D — 50%

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Q. What is the percentage of 15 out of 60?

A. 25%
B. 30%
C. 20%
D. 15%

Solution

Percentage = (15 / 60) * 100 = 25%.

Correct Answer: B — 30%

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Q. What is the percentage of 45 out of 180?

A. 20%
B. 25%
C. 30%
D. 15%

Solution

Percentage = (45 / 180) * 100 = 25%.

Correct Answer: B — 25%

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Q. What is the present value of a bill of Rs. 10000 due in 1 year at a Banker's Discount of Rs. 800?

A. Rs. 9200
B. Rs. 10000
C. Rs. 8000
D. Rs. 8400

Solution

Present Value = Face Value - Banker's Discount = 10000 - 800 = Rs. 9200

Correct Answer: A — Rs. 9200

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Q. What is the present value of a bill of Rs. 10000 due in 1 year with a bankers' discount of Rs. 800?

A. Rs. 9200
B. Rs. 10000
C. Rs. 10800
D. Rs. 8800

Solution

Present Value = Face Value - BD = 10000 - 800 = Rs. 9200.

Correct Answer: A — Rs. 9200

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Arithmetic Aptitude

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