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Question 81

IBPS Probationary Officer (PO) 2026• Quantitative Aptitude• Quantitative Aptitude

A person's monthly income is distributed as follows: 30% is invested in Mutual Funds. ₹15,600 is spent on Education. The remaining amount is saved. If the savings are equal to 11/25 of the total monthly income, then the monthly income is.

  1. AOption (a)

    ₹48,000

  2. BOption (b)

    ₹44,000

  3. COption (c)

    ₹58,000

  4. DOption (d)

    ₹60,000

  5. EOption (e)

    ₹62,000

View answer & explanation

Correct answer

Answer: (d)D.

₹60,000

Why this answer is correct

Given:

30% of the income is invested in Mutual Funds.

₹15,600 is spent on Education.

The remaining amount is saved.

Savings = 11/25 of the total income.

Calculation:

⇒ Savings = (11/25) × 100% = 44% of the total income

⇒ Percentage spent on Mutual Funds = 30%

⇒ Percentage spent on Education = 100% − (30% + 44%) = 26%

⇒ 26% of the income = ₹15,600

⇒ Total monthly income = (15,600 × 100)/26 = ₹60,000

Final Answer = ₹60,000

Question 82

IBPS Probationary Officer (PO) 2026• Quantitative Aptitude• Quantitative Aptitude

The following line graph shows the total number of questions attempted and the number of correct answers of four students A, B, C and D in a test consisting of 100 questions.

Incorrect Answers = Total Attempts − Correct Answers

Another student E attempted 20% more questions than D. The ratio of correct to incorrect answers of E was 3:1. Find the number of correct answers given by E.

  1. AOption (a)

    60

  2. BOption (b)

    62

  3. COption (c)

    63

  4. DOption (d)

    64

  5. EOption (e)

    66

View answer & explanation

Correct answer

Answer: (c)C.

63

Why this answer is correct

StudentTotal number of questions AttemptedTotal number of Correct answersTotal number of Incorrect answers
A806020
B756015
C907218
D704921

Questions attempted by E = 120% of 70 = 84

Correct: Incorrect = 3: 1

Number of correct answers = (3/4) × 84 = 63

Question 83

IBPS Probationary Officer (PO) 2026• Quantitative Aptitude• Quantitative Aptitude

The Total Surface Area of a cube is 384 cm². The breadth of a rectangle is equal to the side of the cube, while its length is three times its breadth. Find the perimeter of the rectangle.

  1. AOption (a)

    60 cm

  2. BOption (b)

    64 cm

  3. COption (c)

    68 cm

  4. DOption (d)

    70 cm

  5. EOption (e)

    75 cm

View answer & explanation

Correct answer

Answer: (b)B.

64 cm

Why this answer is correct

Given:

Total Surface Area of the cube = 384 cm²

Breadth of the rectangle = Side of the cube

Length = 3 × Breadth

Calculation:

⇒ Total Surface Area of cube = 6a²

⇒ 6a² = 384

⇒ a² = 384 ÷ 6 = 64

⇒ Side of the cube = √64 = 8 cm

⇒ Breadth of the rectangle = 8 cm

⇒ Length of the rectangle = 3 × 8 = 24 cm

⇒ Perimeter of the rectangle = 2 × (24 + 8) = 2 × 32 = 64 cm

Final Answer = 64 cm

Question 84

IBPS Probationary Officer (PO) 2026• Quantitative Aptitude• Quantitative Aptitude

The average age of A, B and C is 31 years. The ratio of the ages of A and B is 4 : 5, and C is 9 years older than B. What is the present age of C?

  1. AOption (a)

    35 years

  2. BOption (b)

    39 years

  3. COption (c)

    41 years

  4. DOption (d)

    43 years

  5. EOption (e)

    45 years

View answer & explanation

Correct answer

Answer: (b)B.

39 years

Why this answer is correct

Given:

Average age of A, B and C = 31 years

Ratio of A : B = 4 : 5

C is 9 years older than B.

Calculation:

⇒ Total age of A, B and C = 31 × 3 = 93 years

⇒ Let the ages of A and B be 4x and 5x, respectively.

⇒ Age of C = 5x + 9

⇒ According to the question,

4x + 5x + (5x + 9) = 93

⇒ 14x + 9 = 93

⇒ 14x = 84

⇒ x = 6

⇒ Age of C = (5 × 6) + 9 = 39 years

Final Answer = 39 years

Question 85

IBPS Probationary Officer (PO) 2026• Quantitative Aptitude• Quantitative Aptitude

Amitabh and Rekha are two contestants of the colony elections.

Only 80% of the people cast their votes out of which 10% votes were declared invalid. Amitabh lost by 420 votes and Rekha gets 40% of the total votes. So how many voters are there in the society?

  1. AOption (a)

    2550

  2. BOption (b)

    2150

  3. COption (c)

    1250

  4. DOption (d)

    5250

  5. EOption (e)

    5550

View answer & explanation

Correct answer

Answer: (d)D.

5250

Why this answer is correct

Given:

Number of voters who cast their votes = 80%

Out of casted votes, 10% of total votes were declared invalid

Rekha gets 40% of the total votes

Amitabh lost by = 420 votes

Calculation:

Let the total voters in society be x.

So the number of voters who cast their votes = (80/100) × x = 4x/5

Out of casted votes, 10% of votes were declared invalid

So the number of invalid votes = (10/100) × (4x/5) = 2x/25

Rekha gets 40% of the total votes

So the number of votes obtained by Rekha = (40/100) × x = 2x/5

Now the votes obtained by Amitabh

⇒ (4x/5) – (2x/25) – (2x/5)

⇒ (20x – 2x – 10x)/25 = 8x/25

Amitabh lost by 420 votes

Now the difference between Amitabh and Rekha

⇒  (2x/5) – (8x/25) = 420

⇒ 2x/25 = 420

⇒ x = 5250

∴ A total of 5250 voters are there in the colony.

Question 86

IBPS Probationary Officer (PO) 2026• Quantitative Aptitude• Quantitative Aptitude

M can complete a piece of work in 12 days. M and N together complete 4/5 of the work in 8 days. In how many days can N alone complete 50% of the work?

  1. AOption (a)

    22 days

  2. BOption (b)

    26 days

  3. COption (c)

    30 days

  4. DOption (d)

    35 days

  5. EOption (e)

    36 days

View answer & explanation

Correct answer

Answer: (c)C.

30 days

Why this answer is correct

Given:

M completes the work in 12 days.

M and N together complete 4/5 of the work in 8 days.

Calculation:

⇒ Assume total work = LCM of 12 and 5 = 120 units

⇒ Efficiency of M = 120 ÷ 12 = 10 units/day

⇒ Work completed by M and N together = (4/5) × 120 = 96 units

⇒ Combined efficiency of M and N = 96 ÷ 8 = 12 units/day

⇒ Efficiency of N = 12 – 10 = 2 units/day

⇒ 50% of the total work = 120 ÷ 2 = 60 units

⇒ Time taken by N = 60 ÷ 2 = 30 days

Final Answer = 30 days

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