👆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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👆Ans. D | Explanation:

Area of coffee shop = 5 metre × 4 metre = 20 square metres

Area of one tile = 0.2 metres × 0.2 metre = 0.04 square metres

Number of tiles required = Area of rectangular region / Area of one square tile = 20 square metres / 0.04 square metres = 500

Therefore, total cost of fitting the tiles = number of tiles × cost of fitting 1 tile = 500 × 40 = Rs. 20,000

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The list given below is quite helpful in recognising some indirect relationships:

Person & Relation

1. Father's or mother's son - Brother
2. Father's or mother's daughter - Sister
3. Father's or mother's brother - Uncle
4. Father's or mother's sister - Aunt
5. Father's or mother's mother - Grandmother
6. Father's or mother's father - Grandfather
7. Son's wife - Daughter-in-law
8. Husband's or wife's sister - Sister-in-law
9. Brother's or sister's Son - Nephew
10. Brother's or sister's daughter - Niece
11. Aunt's or Uncle's son - Cousin
12. Aunt's or Uncle's daughter - Cousin
13. Grandfather's or Grandmother's son - Father or Uncle
14. Grandfather's or Grandmother's daughter - Mother
15. Sister's husband - Brother-in-law
16. Brother's wife - Sister-in-law
17. Uncle's wife - Aunt
18. Only daughter-in-law of Grandfather (Paternal) - Mother

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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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