👆Ans. B | Explanation:

40% of the boys is same as half of the girls, and there are 20 girls.

So, 40% of boys = 20/2 = 10

Therefore, 100% of boys = (10/40%) × 100% = 25

Therefore, total number of boys = 25

Thus, total number of students = 25 + 20 = 45

Hence, option (b) is correct.

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👆Ans. B | Explanation:

Interest earned on Rs. 13200 at a rate of 14% = Rs. 1848

Number of shares purchased = 13200/110 = 120

Dividend earned by him on 120 shares which pays a dividend of 15% per share = 120 × [(15/100) × 100] = Rs. 1800

Therefore, net profit = 1848 – 1800 = Rs. 48

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👆Ans. B | Explanation:

Cost of 1 day to maintain the machine = Rs. m

Therefore 7 day’s cost for maintenance = Rs. 7m

Similarly, cost of 1 unit = n paise (for 1 day) = Rs. n/100

Therefore, cost of r units = Rs. rn/100

Hence, Total cost = 7m +( rn/100) = (700m + nr) /100

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👆Ans. (a) | Explanation:

Let distance between Delhi and Pune be A km.

Time taken by Sonali to reach Pune = 10 – 4 = 6 hours

Time taken by Priyanka to reach Delhi = 11 – 6 = 5 hours

Speed of train which leaves Delhi = A/6 km/hr

And Speed of train which leaves Pune = A/5 km/hr

Relative speed = A/6 + A/5 = 11A/30 km/hr

Distance covered by train which leaves Delhi in 2 hours = 2 × A/6 = A/3 km

Distance left to be covered = A – A/3 = 2A/3 km

Time taken by both the trains to cross each other = Distance left to be covered/ Relative speed = (2A/3)/(11A/30) = 20/11 hours = 1 hour 49 minutes

Required time = 6 pm + 1 hour 49 minutes = 7: 49 pm

Hence, option (a) is the correct answer.

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👆Ans. D | Explanaton:

In a month of 30 days beginning with Saturday, we will have 5 Saturdays, 5 Sundays and 20 Other days.

Visitors on 5 Saturdays = 640 × 5 = 3200

Visitors on 5 Sundays = 640 × 5 = 3200

Visitors on Other days = 310 × 20 = 6200

So, Total number of visitors in 30 days = 3200 + 3200 + 6200 = 12600

Average number of visitors per day = 12600/30 = 420

Hence, option (d) is the correct answer.

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👆Ans. D | Explanaton:

Let the cost price of the articles be Rs. 100.

Shopkeeper labeled the price 30% higher than the cost price.

So, Marked price = 100 + 30% of 100 = 100 + 30 = Rs. 130

After giving a discount of 10%, the selling price of the articles = 0.9 × 130 = Rs. 117

So, actual profit percent = [(117 - 100)/100] × 100 = 17%

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👆Ans. B | Explanaton:

Let number of apples and oranges that Rani brought be A and O respectively.

Now, 23A + 10O = 653

Since 653 has last digit as 3 which can come by multiplying 23 with 1, 11, 21, 31 and so on. Here, number of apples bought is greater than number of oranges. So, A > O

We can see that A = 21 and O = 17 is the only solution.

So, number of Apples bought = 21 and number of Oranges bought = 17.

Cost of an Apple = 23/1.15 and

Cost of an Orange = 10/1.25

Overall cost = (23/1.15) × 21 + (10/1.25) × 17 = 483/1.15 + 170/1.25 = 420 + 136 = 556

Profit = 653 – 556 = 97

Profit percentage = (97/556) x 100 = 17.4%

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👆Ans. C | Explanation:

Let price of one shirt be Rs. S and price of one pant be Rs. P.

Price of 15 shirts and 21 pants is equal to the price of 18 shirts and 12 pants.

So, 15S + 21P = 18S + 12P

⇒ 21P - 12P = 18S – 15S

⇒ 9P = 3S

⇒ S/P = 9/3 = 3/1 = 3 : 1

Hence, the ratio of the prices of one shirt and one pant is 3 : 1.

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👆Ans. D | Explanation:

According to the question,

⇒ [A + B + C]/3 = 650

⇒ A + B + C = 1950 ------------------ (i)

Marks of B are 50 more than A, and 20 less than C.

So, marks of B = A + 50

Marks of C = B + 20 = A + 50 + 20 = A + 70

From equation (i), we get:

A + (A + 50) + (A + 70) = 1950

⇒ 3A + 120 = 1950

⇒ 3A = 1950 – 120 = 1830

⇒ A = 1830/3 = 610

So, marks of C = A + 70 = 610 + 70 = 680

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👆Ans. C | Explanation:

Ratio of the speeds of Priyanka and Priya = 4:5

Ratio of the time taken by Priyanka and Priya = 5:4

So, let the time taken by Priyanka to reach the destination = 5x

Time taken by Priya to reach the destination = 4x

According to the question,

4x = 44

or, x = 11

So, Time taken by Priyanka to reach the destination = 5x = 5 × 11 = 55 minutes

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