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Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?

36 meters
48 meters
60 meters
72 meters
Explanation:

Let the length of race is X meter.

when A is on X meter, then B is on X-12 and C is on X-8.

Now,

If B is on X-12 meter then C is on X-18 meter

so if B is on 1 meter then C is on (X-18)/(X-12) meter

So if B is on X meter then C is on ((X-18)/(X-12)) *X meter

And it is given that if B is on X meter then C is on X-8 meter

So, [(X-18)/(X-12)] $\times$ X = X-8.

Solve it and get the value of X as 48 meter.

Additional Questions

If x(a) = $a^2$ + 2a - 1, then x (8)-x (5) =?

Answer

Every pupil in a school was given one ticket for a concert. The school was charged a total of Rs.6000 for these tickets, all of which were of equal value. What was the price of one ticket? If the price of each ticket had been one dollar less, the total cost would have been 1,200 less. If the price of each ticket had been Rs.2 more, the total bill would have increased by 40%.

Answer

My husband`s watch gains 2 minutes every watch and my watch loses 1 minute for each hour. One day, we were late to marriage because the difference between the time in the two watches was 1 hr. and we looked at the slow watch. When did we last set our watches to the same time?

Answer

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:

Answer

HCL Logical Reasoning Test

Syllogism:

Statements: All scientists are fools.

All fools are illiterate.

Conclusion:

(I) All scientists are illiterate

(II) All illiterate are scientists.

(III) All illiterates are fools.

(IV) Some illiterates would be scientist.

Answer

Analogy:

sheet: pad :: flower : ___?___

Answer

Blood Relation:

Pointing to a woman, Abhijit said, “Her granddaughter is the only daughter of my brother.” How is the woman related to Abhijit?

Answer

Coding-Decoding:

If ‘white’ is called ‘blue’, ‘blue’ is called ‘red’, ‘red’ is called ‘yellow’, ‘yellow’ is called ‘green’, ‘green’ is called ‘black’, ‘black’ is called ‘violet’ and ‘violet’ is called ‘orange’, then what would be the color of human blood?

Answer

Direction Test:

From his house, Lokesh went 15 kms to the North. Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?

Answer

Statement-Assumption:

Statement:

The new scheme gives people the opportunity to voluntarily declare their disclosed property and legitimize it by paying the lowest ever rate of tax.

Assumptions:

(I) The new scheme is much better than the earlier scheme.

(II) People may desire to pay less tax and own things legimately.

Answer
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