Ans. (a) 7:49 pm | 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) 420 | Explanation:

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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Answer: (b) | Explanation:

Contribution ratio of Kallu and Malkhan = 1:2

Contribution ratio of Malkhan and Ramu = 2:3

So, Contribution ratio of Kallu, Malkhan and Ramu = 1:2:3 ……….(i)

Contribution ratio of Ramu and Shyam = 5:6 ………..(ii)

To make Contribution of Ramu equal in eqn (i) and (ii), we will multiply eqn (i) by 5 and eqn (ii) by 3.

Contribution ratio of Kallu, Malkhan and Ramu = [1:2:3] × 5 = 5:10:15

Contribution ratio of Ramu and Shyam = [5:6] × 3 = 15:18

So, Contribution ratio of Kallu, Malkhan, Ramu and Shyam = 5:10:15:18

∴ Required contribution of Malkhan = 9600 × 10/(5+10+15+18) = Rs. 2000

Hence, option (b) is correct.

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Ans. C | Explanation:

Average age of 40 people is 50 years, and average age of 60 people is 55 years.

So, sum of the ages of 40 people = 40 × 50 = 2000 years

Sum of ages of 60 people = 60 × 55 = 3300 years

Required average age = (2000 + 3300)/(40 + 60) = 5300/100 = 53 years

Hence, option (c) is correct.

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Ans. C | Explanation:

This is simply a matter of breaking down the problem. 10 percent of x is 0.1x.

25 percent of half of y is 25 percent of 0.5y, which is 0.25 × 0.5y = y/8.

Now, as per the question,

x/10 = y/8

or y/x = 4/5

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Ans. D | Explanation:

Decreasing a price by 10%, then by 20%, and then by 30% is equivalent to taking 90% of a price, then taking 80% of the remaining price, and then taking 70% of that. That, in turn, is equivalent to multiplying the price by 0.90, then by 0.80, and then by 0.70.

For simplicity's sake, assume the initial price was Rs. 100. Then we can calculate the final price as follows:

Final price = 100 × 0.9 × 0.8 × 0.7 = Rs. 50.40

So, we essentially discounted the original price by Rs.49.60, which is 49.6%.

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Ans. B | Explanation:

Let the amount of flower-nectar needed be x kg.

Flower-nectar contains 50% water. So, flower-nectar contains 50% of non-watery part.

Honey contains 15% water. So, amount of non-watery part in the honey will be 85%.

When processing flower-nectar into honeybees' extract, only the water is lost during processing.Hence, the non-watery part in flower-nectar should be equal to the non-watery part in honey.

∴ 50% of the Amount of flower-nectar needed = 85% of the Amount of honey

Or 0.5 × x = 0.85 × 1 kg

Or x = (0.85/0.5) × 1 kg = 1.7 kg

Therefore, the amount of flower-nectar needed is 1.7 kg.

Hence, option (b) is correct.

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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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👆Position of Letters in English Alphabet

✍️ Sometimes a word or a sentence is coded by changing the position of English alphabet letters according to a definite pattern, so it is necessary to remember the positions of all the letters in English alphabetical order, both in forward and backward order.

📌 Important for Coding - Decoding Questions‼️

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