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Question 861

SBI Clerk 2025• Numerical Ability

Study the following table carefully and answer the questions given below.

The table shows the number of students playing Cricket, Football and Hockey in four different colleges (A, B, C and D).

CollegeCricketFootballHockey
A240180120
B300240160
C360280200
D400320240

If 20% of Cricket players and 25% of Football players in College C participated in a competition, then what was the total number of participants from College C?

  1. AOption (a)

    120

  2. BOption (b)

    132

  3. COption (c)

    142

  4. DOption (d)

    152

  5. EOption (e)

    160

View answer & explanation

Correct answer

Answer: (c)C.

142

Why this answer is correct

Cricket players in College C = 360

No of players participated in competition = 20% of 360 = 72

Football players in College C = 280

No of players participated in competition = 25% of 280 = 70

Total participants = 72 + 70 = 142

Question 862

SBI Clerk 2025• Numerical Ability

Study the following table carefully and answer the questions given below.

The table shows the number of students playing Cricket, Football and Hockey in four different colleges (A, B, C and D).

CollegeCricketFootballHockey
A240180120
B300240160
C360280200
D400320240

The sum of Cricket and Hockey players in College B is how much more than the sum of Football and Hockey players in College A?

  1. AOption (a)

    120

  2. BOption (b)

    140

  3. COption (c)

    160

  4. DOption (d)

    180

  5. EOption (e)

    200

View answer & explanation

Correct answer

Answer: (c)C.

160

Why this answer is correct

Cricket + Hockey players in College B = 300 + 160 = 460

Football + Hockey players in College A = 180 + 120 = 300

Required difference = 460 – 300 = 160

Question 863

SBI Clerk 2025• Numerical Ability

A person invests ₹20,000 at 10% per annum compound interest for 2 years in Scheme 1, and separately invests ₹20,000 at 10% per annum compound interest for 3 years in Scheme 2. Find the total compound interest earned from both schemes.

  1. AOption (a)

    ₹10,000

  2. BOption (b)

    ₹9,800

  3. COption (c)

    ₹10,820

  4. DOption (d)

    ₹11,000

  5. EOption (e)

    ₹10,620

View answer & explanation

Correct answer

Answer: (c)C.

₹10,820

Why this answer is correct

Shortcut Trick

Effective rate for 2 years at 10% = 10 + 10 + (10 × 10)/100 = 21%

Effective rate for 3 years at 10% = 33.1%

Total Interest % = 21% + 33.1% = 54.1% of Principal

Total Interest = 54.1% × 20,000 = 54.1 × 200 = ₹10,820

∴ The correct answer is ₹10,820.

Alternate Method

Given: Principal (P) = ₹20,000, Rate (R) = 10%

Formula Used: CI = P[(1 + R/100)n − 1]

⇒ CI1 = 20,000 × [(1 + 10/100)2 − 1]

⇒ CI1 = 20,000 × [1.21 − 1] = 20,000 × 0.21 = ₹4,200

⇒ CI2 = 20,000 × [(1 + 10/100)3 − 1]

⇒ CI2 = 20,000 × [1.331 − 1] = 20,000 × 0.331 = ₹6,620

⇒ Total CI = 4,200 + 6,620 = ₹10,820

∴ The correct answer is ₹10,820.

Additional Information

Successive Percentage Rule

For two years, the effective rate of interest is calculated as x + y + (xy/100).

Compound Interest vs Simple Interest

Difference for 2 years = P(R/100)2. Difference for 3 years = P(R/100)2 × (3 + R/100).

Amount Formula

Total Amount (A) = P(1 + R/100)n, where n is the number of years.

Question 864

SBI Clerk 2025• Numerical Ability

A car covers a distance of 480 km in 8 hours. A bike travels for 6 hours and covers 60 km less than the car. Find the respective ratio of the speed of the car to the speed of the bike.

  1. AOption (a)

    2 : 1

  2. BOption (b)

    6 : 7

  3. COption (c)

    4 : 3

  4. DOption (d)

    5 : 3

  5. EOption (e)

    3 : 1

View answer & explanation

Correct answer

Answer: (b)B.

6 : 7

Why this answer is correct

Shortcut Trick

Car's speed = 480 ÷ 8 = 60 km/h

⇒ Bike's distance = 480 − 60 = 420 km

⇒ Bike's speed = 420 ÷ 6 = 70 km/h

⇒ Required ratio = 60 : 70 = 6 : 7

∴ The respective ratio of the speed of the car to the bike is 6 : 7.

Alternate Method

Given:

Car: Distance = 480 km, Time = 8 hours

Bike: Time = 6 hours, Distance = 60 km less than car

Formula Used:

Speed = Distance ÷ Time

Calculations:

⇒ Car's speed = 480 ÷ 8 = 60 km/h

⇒ Bike's distance = 480 − 60 = 420 km

⇒ Bike's speed = 420 ÷ 6 = 70 km/h

⇒ Car : Bike = 60 : 70

⇒ = 6 : 7

∴ The respective ratio of the speed of the car to the bike is 6 : 7.

Question 865

SBI Clerk 2025• Numerical Ability

The area of a triangle is 80 cm². The ratio of its base to height is 5 : 4. If the length of the base of the triangle is equal to the side of a square, find the area of the square.

  1. AOption (a)

    100 cm²

  2. BOption (b)

    200 cm²

  3. COption (c)

    144 cm²

  4. DOption (d)

    160 cm²

  5. EOption (e)

    225 cm²

View answer & explanation

Correct answer

Answer: (b)B.

200 cm²

Why this answer is correct

Shortcut Trick

Let Base = 5x and Height = 4x.

Area = 1/2 × 5x × 4x = 10x2 = 80 cm2.

⇒ x2 = 8 ⇒ x = √8.

Base = 5√8 cm = Side of Square.

Area of Square = (5√8)2 = 25 × 8 = 200 cm2.

∴ The correct answer is 200 cm2.

Alternate Method

Given:

Area of Triangle = 80 cm2

Ratio of Base : Height = 5 : 4

Formula Used:

Area of Triangle = 1/2 × Base × Height

Area of Square = (Side)2

Calculations:

⇒ Let Base = 5x and Height = 4x

⇒ 1/2 × 5x × 4x = 80

⇒ 10x2 = 80

⇒ x2 = 8

⇒ x = √8

⇒ Base of triangle = 5 × √8 = 5√8 cm

⇒ Side of square = Base of triangle = 5√8 cm

⇒ Area of square = (5√8)2

⇒ Area of square = 25 × 8 = 200 cm2

∴ The correct answer is 200 cm2.

Additional Information

Area of Triangle

The general formula is 1/2 × base × height. For an equilateral triangle, Area = (√3/4) × side2.

Square Properties

Area = side2 or 1/2 × diagonal2. Perimeter = 4 × side.

Heron's Formula

Used when all three sides (a, b, c) are known: Area = √[s(s−a)(s−b)(s−c)], where s = (a+b+c)/2.

Question 866

SBI Clerk 2025• Reasoning Ability

Direction: Read the information carefully and answer the following questions:

There are ten persons G, H, I, J, K, L, M, N, O and P are sitting in two parallel rows. All of them are facing in the north direction. Five people sit in each row. Each person from row 1 is exactly in front of the other person from row 2.

M sits third to the left of P, who sits in front of G. H sits immediate right of G. O sits adjacent to P. I sits immediate left of J but not adjacent to M. K sits to the left of I. One person sits between N and O. O is not in front of J.

Who sits opposite to K?

  1. AOption (a)

    M

  2. BOption (b)

    N

  3. COption (c)

    L

  4. DOption (d)

    O

  5. EOption (e)

    None of the above

View answer & explanation

Correct answer

Answer: (a)A.

M

Why this answer is correct

  1. M sits third to the left of P, who sits in front of G.

  2. H sits immediate right of G.

  3. O sits adjacent to P.

  4. I sits immediate left of J but not adjacent to M.

  5. K sits to the left of I.

  6. One person sits between N and O.

  7. O is not in front of J. So, case 2 is rejected.

M sits opposite to K.

Hence, M is the correct answer.

Question 867

SBI Clerk 2025• Reasoning Ability

Direction: Read the information carefully and answer the following questions:

There are ten persons G, H, I, J, K, L, M, N, O and P are sitting in two parallel rows. All of them are facing in the north direction. Five people sit in each row. Each person from row 1 is exactly in front of the other person from row 2.

M sits third to the left of P, who sits in front of G. H sits immediate right of G. O sits adjacent to P. I sits immediate left of J but not adjacent to M. K sits to the left of I. One person sits between N and O. O is not in front of J.

How many persons sit to the left of O in the same row?

  1. AOption (a)

    Three

  2. BOption (b)

    Five

  3. COption (c)

    Four

  4. DOption (d)

    Six

  5. EOption (e)

    Cannot be determined

View answer & explanation

Correct answer

Answer: (c)C.

Four

Why this answer is correct

  1. M sits third to the left of P, who sits in front of G.

  2. H sits immediate right of G.

  3. O sits adjacent to P.

  4. I sits immediate left of J but not adjacent to M.

  5. K sits to the left of I.

  6. One person sits between N and O.

  7. O is not in front of J. So, case 2 is rejected.

Four persons sit to the left of O.

Hence, Four is the correct answer.

Question 868

SBI Clerk 2025• Reasoning Ability

Direction: Read the information carefully and answer the following questions:

There are ten persons G, H, I, J, K, L, M, N, O and P are sitting in two parallel rows. All of them are facing in the north direction. Five people sit in each row. Each person from row 1 is exactly in front of the other person from row 2.

M sits third to the left of P, who sits in front of G. H sits immediate right of G. O sits adjacent to P. I sits immediate left of J but not adjacent to M. K sits to the left of I. One person sits between N and O. O is not in front of J.

Who sits immediate right of J?

  1. AOption (a)

    I

  2. BOption (b)

    K

  3. COption (c)

    H

  4. DOption (d)

    O

  5. EOption (e)

    G

View answer & explanation

Correct answer

Answer: (e)E.

G

Why this answer is correct

  1. M sits third to the left of P, who sits in front of G.

  2. H sits immediate right of G.

  3. O sits adjacent to P.

  4. I sits immediate left of J but not adjacent to M.

  5. K sits to the left of I.

  6. One person sits between N and O.

  7. O is not in front of J. So, case 2 is rejected.

G sits immediate right of J.

Hence, G is the correct answer.

Question 869

SBI Clerk 2025• Reasoning Ability

Direction: Read the information carefully and answer the following questions:

There are ten persons G, H, I, J, K, L, M, N, O and P are sitting in two parallel rows. All of them are facing in the north direction. Five people sit in each row. Each person from row 1 is exactly in front of the other person from row 2.

M sits third to the left of P, who sits in front of G. H sits immediate right of G. O sits adjacent to P. I sits immediate left of J but not adjacent to M. K sits to the left of I. One person sits between N and O. O is not in front of J.

Who sits second to the left of O?

  1. AOption (a)

    N

  2. BOption (b)

    M

  3. COption (c)

    I

  4. DOption (d)

    J

  5. EOption (e)

    H

View answer & explanation

Correct answer

Answer: (a)A.

N

Why this answer is correct

  1. M sits third to the left of P, who sits in front of G.

  2. H sits immediate right of G.

  3. O sits adjacent to P.

  4. I sits immediate left of J but not adjacent to M.

  5. K sits to the left of I.

  6. One person sits between N and O.

  7. O is not in front of J. So, case 2 is rejected.

N sits second to the left of O.

Hence, N is the correct answer.

Question 870

SBI Clerk 2025• Reasoning Ability

Direction: Read the information carefully and answer the following questions:

There are ten persons G, H, I, J, K, L, M, N, O and P are sitting in two parallel rows. All of them are facing in the north direction. Five people sit in each row. Each person from row 1 is exactly in front of the other person from row 2.

M sits third to the left of P, who sits in front of G. H sits immediate right of G. O sits adjacent to P. I sits immediate left of J but not adjacent to M. K sits to the left of I. One person sits between N and O. O is not in front of J.

Who sits opposite to H?

  1. AOption (a)

    P

  2. BOption (b)

    I

  3. COption (c)

    M

  4. DOption (d)

    J

  5. EOption (e)

    O

View answer & explanation

Correct answer

Answer: (e)E.

O

Why this answer is correct

  1. M sits third to the left of P, who sits in front of G.

  2. H sits immediate right of G.

  3. O sits adjacent to P.

  4. I sits immediate left of J but not adjacent to M.

  5. K sits to the left of I.

  6. One person sits between N and O.

  7. O is not in front of J. So, case 2 is rejected.

O sits opposite to H.

Hence, O is the correct answer.