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Question 421

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

What will come in the place of the question mark ‘?’ in the following question?

39 × 24 – 19 × 14 + (82 × 50%) = ? + 2

  1. AOption (a)

    700

  2. BOption (b)

    800

  3. COption (c)

    900

  4. DOption (d)

    600

  5. EOption (e)

    500

View answer & explanation

Correct answer

Answer: (a)A.

700

Why this answer is correct

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is

39 × 24 – 19 × 14 + (82 × 50%) = ? + 2

⇒ (936) – (266) + (64 × 50%) = ? + 2

⇒ (670) + (32) = ? + 2

⇒ 702 – 2 = ?

⇒ ?  = 700

∴ ? = 700

Question 422

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

What will come in the place of the question mark ‘?’ in the following question?

?2 = 27.27% × 7 × (272 – 162) – 3

  1. AOption (a)

    35

  2. BOption (b)

    34

  3. COption (c)

    33

  4. DOption (d)

    32

  5. EOption (e)

    30

View answer & explanation

Correct answer

Answer: (e)E.

30

Why this answer is correct

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is

?2 = 27.27% × 7 × (272 – 162) – 3

⇒ ?2 = (3/11) × 7 × (729 – 256) – 3

⇒ ?2 = (3/11) × 7 × (473) – 3

⇒ ?2 = (3) × 7 × (43) – 3

⇒ ?2  = 903 – 3

∴ ? = 30

Question 423

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

Speed of train is 72 km/hr. Train cross a pole in 25 sec. If speed of train is increased 18 km/hr then find how much less time (sec) taken by train to cross the pole?

  1. AOption (a)

    18

  2. BOption (b)

    9

  3. COption (c)

    5

  4. DOption (d)

    4

  5. EOption (e)

    3

View answer & explanation

Correct answer

Answer: (c)C.

5

Why this answer is correct

Given:

Speed of train = 72 km/hr

Time to cross pole = 25 sec

Increase in speed = 18 km/hr

Formula used:

Speed = Distance ÷ Time

Time = Distance ÷ Speed

Calculations:

Convert speed into m/sec

72 km/hr = 72 × 5 ÷ 18 = 20 m/sec

Length of train = Speed × Time

⇒ Length = 20 × 25 = 500 m

New speed = 72 + 18 = 90 km/hr

90 km/hr = 90 × 5 ÷ 18 = 25 m/sec

New time to cross pole = Distance ÷ Speed

⇒ Time = 500 ÷ 25 = 20 sec

Less time taken = 25 − 20 = 5 sec

∴ The train will take 5 seconds less to cross the pole.

Question 424

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

Rina and Tina start a business by investing Rs. 5600 and Rs. 4000 respectively. If after one year profit amount of Rina is Rs. 8400 then find the profit amount of Tina?

  1. AOption (a)

    8400

  2. BOption (b)

    6200

  3. COption (c)

    6000

  4. DOption (d)

    6400

  5. EOption (e)

    6800

View answer & explanation

Correct answer

Answer: (c)C.

6000

Why this answer is correct

Given:

Investment of Rina = Rs. 5600

Investment of Tina = Rs. 4000

Time = 1 year (same for both)

Profit of Rina = Rs. 8400

Formula used:

Profit ratio = Investment ratio (when time is same)

Calculations:

Ratio of investments = 5600 : 4000

⇒ Divide by 800

⇒ Investment ratio = 7 : 5

So, profit ratio of Rina : Tina = 7 : 5

Profit of Rina (7 parts) = 8400

⇒ Value of 1 part = 8400 ÷ 7 = 1200

⇒ Profit of Tina = 5 × 1200 = 6000

∴ The profit amount of Tina is Rs. 6000.

Question 425

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

The table shows the number of students in three college [A, B and C] in three department [ Economics, Science, and Sociology].

CollegeNumber of students in EconomicsNumber of students in scienceNumber of students in Sociology
A148102127
B126131145
C118105134

The total number of students in College B across all departments is given as (x + 22). Find the value of x.

  1. AOption (a)

    400

  2. BOption (b)

    420

  3. COption (c)

    380

  4. DOption (d)

    320

  5. EOption (e)

    360

View answer & explanation

Correct answer

Answer: (c)C.

380

Why this answer is correct

Calculation

Total students of College B = (x + 22)

Total students in College B = 126 + 131 + 145 = 402

x + 22 = 402

x = 380

Question 426

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

The table shows the number of students in three college [A, B and C] in three department [ Economics, Science, and Sociology].

CollegeNumber of students in EconomicsNumber of students in scienceNumber of students in Sociology
A148102127
B126131145
C118105134

The number of Sociology students in College B is how many percent more than the number of Economics students in College C?

  1. AOption (a)

    37.27

  2. BOption (b)

    36.36

  3. COption (c)

    22.88

  4. DOption (d)

    24.66

  5. EOption (e)

    20.20

View answer & explanation

Correct answer

Answer: (c)C.

22.88

Why this answer is correct

Calculation

Difference = 145 − 118 = 27

Percentage = (27 / 118) × 100 = 22.88%

Answer: 22.88% more

Question 427

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

The table shows the number of students in three college [A, B and C] in three department [ Economics, Science, and Sociology].

CollegeNumber of students in EconomicsNumber of students in scienceNumber of students in Sociology
A148102127
B126131145
C118105134

Find the average number of students in the Science department across all three colleges.

  1. AOption (a)

    122.33

  2. BOption (b)

    108.7

  3. COption (c)

    112.67

  4. DOption (d)

    147.54

  5. EOption (e)

    132.32

View answer & explanation

Correct answer

Answer: (c)C.

112.67

Why this answer is correct

Calculation

Total Science students = 102 + 131 + 105 = 338

Average = 338 / 3 = 112.67 students

Answer: 112.67 students

Question 428

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

The table shows the number of students in three college [A, B and C] in three department [ Economics, Science, and Sociology].

CollegeNumber of students in EconomicsNumber of students in scienceNumber of students in Sociology
A148102127
B126131145
C118105134

Find the difference between the total students of College A to College C considering all three departments together.

  1. AOption (a)

    33

  2. BOption (b)

    20

  3. COption (c)

    24

  4. DOption (d)

    26

  5. EOption (e)

    28

View answer & explanation

Correct answer

Answer: (b)B.

20

Why this answer is correct

Calculation

Total students in College A = 148 + 102 + 127 = 377

Total students in College C = 118 + 105 + 134 = 357

Required difference = 377 - 357 = 20

Question 429

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

The table shows the number of students in three college [A, B and C] in three department [ Economics, Science, and Sociology].

CollegeNumber of students in EconomicsNumber of students in scienceNumber of students in Sociology
A148102127
B126131145
C118105134

Find the difference between the average number of students in Economics across all colleges, and the average number of students in Sociology across all colleges?

  1. AOption (a)

    4.95

  2. BOption (b)

    4.66

  3. COption (c)

    3.33

  4. DOption (d)

    1.25

  5. EOption (e)

    7.66

View answer & explanation

Correct answer

Answer: (b)B.

4.66

Why this answer is correct

Calculation

Average Economics = (148 + 126 + 118) / 3 = 130.67

Average Sociology = (127 + 145 + 134) / 3 = 135.33

Difference = 135.33 − 130.67 = 4.66

Question 430

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

If cost price of item increase by 40% then give 20% discount. Find the profit percentage?

  1. AOption (a)

    5%

  2. BOption (b)

    8%

  3. COption (c)

    12%

  4. DOption (d)

    10%

  5. EOption (e)

    15%

View answer & explanation

Correct answer

Answer: (c)C.

12%

Why this answer is correct

Given:

Cost Price (CP) = 100

Increase in CP = 40%

Discount given = 20%

Formula used:

Increased Price = CP × (1 + Increase%)

Selling Price = Marked Price × (1 − Discount%)

Profit % = (Profit ÷ CP) × 100

Calculations:

Let CP = 100

Increased price = 100 × (1 + 40/100)

⇒ Increased price = 100 × 1.4 = 140

Discount = 20% on 140

Selling Price (SP) = 140 × (1 − 20/100)

⇒ SP = 140 × 0.8 = 112

Profit = SP − CP

⇒ Profit = 112 − 100 = 12

⇒ Profit % = (12 ÷ 100) × 100 = 12%

∴ The profit percentage is 12%.

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