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A solid cube of side 12 cm has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm. How many cubes have no face painted?

40
32
60
64
Explanation:

2nd layer- 16 cubes have no face painted.

3rd layer- 16 cubes have no face painted.

4th layer- 16 cubes have no face painted.

5th layer - 16 cubes have no face painted.

Hence, total - 16+16+16+16 =64 cubes have no face painted.

Additional Questions

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?

Answer

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

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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
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