👆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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👆Ans. C | Explanation:

It is given that α + β = - q/p and αβ = r/p, where 0<p<q<r

So, let’s assume p = 1, q = 2 and r = 3.

Putting these values in answer options, we get

(A) 1 / (α + β) = - p/q = - (1/2)

(B) (1/ α) + (1/ β) = (α + β)/ αβ = -(q/p) × (p/r) = - (q/r) = - (2/3)

(C) – 1/ (αβ) = -(p/r) = - (1/3)

(D) αβ/(α + β) = r/p × (-p/q)= - r/q = - (3/2)

We can see that, - (1/3) is the greatest among the above values.

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👆Ans. A | Explanation:

Expected police-to-population ratio of West Bengal = 1187

Expected police-to-population ratio of Bihar = 1133

Expected police-to-population ratio of Andhra Pradesh = 642

Existing police-to-population ratio of Uttar Pradesh = 1173

Existing police-to-population ratio of Andhra Pradesh = 953

Existing police-to-population ratio of Maharashtra = 829

Required ratio = [(1187 + 1133 + 642)/ (1173 + 953 + 829)] = 2962/2955 = 2962 : 2955

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👆Ans. B | Explanation:

Take the corresponding position of the given letters in English alphabet series, and add them till you get a single digit:

CAT = 3 + 1 + 20 = 24 = 2 + 4 = 6

PROUD = 16 + 18 + 15 + 21 + 4 = 74 = 7 + 4 = 11 = 1 + 1 = 2

Similarly, for COMPUTER = 3 + 15 + 13 + 16 + 21 + 20 + 5 + 18 = 111 = 1 + 1 + 1 = 3

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👆Ans. C | Explanation:

As per the question, Ram’s salary is more than Shyam’s salary, but less than Mayank’s salary:

Mayank > Ram > Shyam

Vijay’s salary is more than that of Ganesh:

Vijay > Ganesh

However, Mayank’s salary is less than that of Ganesh, therefore overall order is:

Vijay > Ganesh > Mayank > Ram > Shyam

Therefore, Shyam’s salary is the lowest.

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👆Ans. B | Explanation:

There are two possible routes between Yamuna bank and Najafgarh - one via Kirtinagar and the other via Huda City Centre.

Yamuna bank to Najafgarh via Huda city centre = (5 + 11 + 10 + 5 + 8) × 1.5 + 5 + 5 = 58.5 + 10 = 68.5 minutes.

Here in this route there are two points at which metro line is changed, so 5 minutes is added 2 times.

Yamuna Bank to Najafgarh via Kirtinagar = (5 + 7 + 13) × 1.5 = 37.5 minutes.

As less time is taken via this route, she will adopt this route to Najafgarh.

Now, time taken to reach Dilshad Garden from Najafgarh = (13 + 7 + 10) × 1.5 + 5 = 50 minutes

Hence, Minimum possible time to complete this entire trip = 37.5 + 50 = 87.5 minutes

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