BANK & INSURANCE (IBPS RRB CLERK PRELIMS 2025) MOCKTEST 8

Total Questions: 40

11. A shopkeeper marked an article 25% above its cost price and allowed 20% profit on the article. If the discount allowed on the article is Rs 20, then find the cost price of the article (in Rs).

Correct Answer: (b) 400  
Solution:

Markup on cost price = 25%
Profit allowed = 20%
Discount allowed = Rs 20

Let the cost price be Rs x.
Marked Price (MP) = x × (1 + 25%) = 1.25x
Selling Price (SP) = x × (1 + 20%) = 1.20x

Discount = MP − SP = 1.25x − 1.20x = 0.05x

Given: Discount = Rs 20
So, 0.05x = 20
⇒ x = 20 / 0.05 = 400

Cost Price = Rs 400

12. A and B started a business with investment of Rs 2000 and Rs 4000 respectively. After 6 months, B invested 50% more of his initial investment and at the end of the year the total profit of Rs 14000. Find the profit share of B (in Rs).

Correct Answer: (b) 10000  
Solution:

A’s investment = Rs 2000 (for 12 months)
B’s initial investment = Rs 4000

After 6 months, B increases investment by 50% of Rs 4000 = Rs 2000 more
⇒ Total = Rs 6000 for next 6 months

Total profit = Rs 14,000

A’s capital × time = 2000 × 12 = Rs 24,000

B’s capital:
First 6 months: 4000 × 6 = Rs 24,000
Next 6 months: 6000 × 6 = Rs 36,000
Total = 24,000 + 36,000 = Rs 60,000

Profit ratio A : B = 24,000 : 60,000 = 2 : 5

Total ratio parts = 2 + 5 = 7

∴ B’s profit = (5/7) × 14,000 = Rs 10,000

13. A 44-liter mixture contains milk and water. The quantity of milk is 6 liters more than that of water. How much water (in liters) must be added so that the ratio of milk to water becomes equal?

Correct Answer: (a) 6  
Solution:

Let water = w
Then milk = w + 6

Total = w + (w + 6)
= 2w + 6 = 44

2w = 38
w = 19

Milk = 44 − 19 = 25 liters

Let x liters of water be added.
Then, new water = 19 + x
Milk = 25 liters

ATQ
25 = 19 + x
∴ x = 6

So, 6 liters of water must be added.

14. 520 meters long train can cross a pole in 13 seconds. Find the time taken by the train to cross 130-meter-long platform (in seconds).

Correct Answer: (c) 16 1/4
Solution:

Length of train = 520 meters
Time to cross a pole = 13 seconds
Platform length = 130 meters

Speed of the train = 520 / 13 = 40 m/s

Total distance to cross platform = Length of train + Length of platform
= 520 + 130 = 650 meters

Required time = 650 / 40 = 65/4 seconds
= 16¼ seconds

15. If the circumference of the circle is 88 cm, then find the area of the circle (in cm²).

Correct Answer: (c) 616
Solution:

Circumference of the circle = 88 cm

Given,
2πr = 88

r = 88 / (2π)
= 88 / (2 × 22/7)
= (88 × 7) / 44
= 14 cm

Required Area = πr²
= 22/7 × 14 × 14
= 22/7 × 196
= 616 cm²

16. The present ages of A and B are in the ratio of 7 : 9, respectively. Six years ago, the ratio of their ages was 11 : 15, respectively. Find the age of B three years from now (in years).

Correct Answer: (d) 39  
Solution:

Let the present ages of A and B be 7x and 9x respectively.

Six years ago,
A’s age = 7x − 6
B’s age = 9x − 6

ATQ
(7x − 6)/(9x − 6) = 11/15

15(7x − 6) = 11(9x − 6)
105x − 90 = 99x − 66
105x − 99x = −66 + 90
6x = 24
x = 4

Now, present age of B = 9x = 9 × 4 = 36 years

So, age of B, 3 years from now = 36 + 3 = 39 years

17. A man spends 20% of his income on rent and 10% of the remaining amount on groceries. He saves the rest. If his total expenditure (on rent and groceries) is Rs 4200, find the amount he saves (in Rs).

Correct Answer: (e) 10800
Solution:

Information Given in the Question:
Rent = 20% of income
Groceries = 10% of remaining income after rent
Total expenditure = Rs 4,200

Detailed Explanation:
Let income = Rs x

Rent = 0.20x
Remaining = 0.80x

Groceries = 0.10 × 0.80x = 0.08x

Total Expenditure = 0.20x + 0.08x = 0.28x

Given:
0.28x = 4200

x = 4200 / 0.28 = 15,000

Now, Savings = 0.72x
= 0.72 × 15000 = Rs 10,800

18. The total cost of 6 pens and 9 pencils is Rs 150. What will be three-fourth of the total cost of 12 pens and 18 pencils

Correct Answer: (a) Rs 225  
Solution:

Given that cost of 6 pens + 9 pencils = Rs 150

Observe that 12 pens and 18 pencils = double of 6 pens and 9 pencils

Cost of 12 pens + 18 pencils = 2 × Rs 150 = Rs 300

Required = 3/4th of Rs 300 = (3/4) × 300 = Rs 225

19. The average of three consecutive even numbers is 106. Find the average of the second largest and the largest numbers.

Correct Answer: (c) 107
Solution:

Let the three consecutive even numbers be: (x − 2), x, (x + 2)

Their average = (x − 2 + x + x + 2)/3 = 106

⇒ (3x)/3 ⇒ x = 106
So, the numbers are 104, 106, 108
Second largest = 106, Largest = 108
Average of these two = (106 + 108)/2 = 214/2 = 107

20. The population of a town increases by 10% in the first year and decreases by 5% in the next. What is the overall percentage change after two years?

Correct Answer: (b) 4.5% increase  
Solution:

Assume initial population = 100
After 1st year = 100 + 10% of 100
= 100 × 1.10 = 110

After 2nd year = 110 − 5% of 110
= 110 × 0.95 = 104.5

Net increase = 104.5 − 100 = 4.5
Percentage increase change = (4.5/100) × 100 = 4.5%