• Placement Questions

Placement Papers with Solutions

(#M40010079) SELF QUESTION Keep an EYE

Find a 6-digit integer abcdef with the following properties:

Take the rightmost digit and place it in front of the integer to form a new number (abcdef --> fabcde).

The new one is the product of the old one and the shifted digit (fabcde = f*abcdef).

What was the original integer?

jyotish r (13 years ago)

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(#M40010078) SELF QUESTION Keep an EYE

find 3 consecutive odd integers, all less than 100, such that the sum of their squares forms a Unidigit (that is, all its digits are the same). Thus, for integer abc, a^2 + b^2 +c^2 equals a Unidigital.

jyotish r (13 years ago)

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(#M40010077) SELF QUESTION Keep an EYE

A square is cut from the centre of a rectangle. The length of the square's side is exactly half the length of the rectangle's longest side. After cutting out the square, it is found that the rectangle's area has been reduced by exactly 38%. The sides of the rectangle and square are all two-digit integers. Find their values.

jyotish r (13 years ago)

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(#M40010076) SELF QUESTION Keep an EYE

find two integers, neither of which ends in a zero, and whose product is exactly 1,000,000

jyotish r (13 years ago)

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(#M40010075) SELF QUESTION Keep an EYE

Find all 5-digit integers such that the sum of the cube of the integer formed from its first 2 digits and the square of the integer formed from its last 3 digits generates a new integer which is an exact multiple of the original integer.

jyotish r (13 years ago)

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(#M40010074) SELF QUESTION Keep an EYE

What is the smallest interval between two successive Primitive Abundant Numbers less than 10,000?

jyotish r (13 years ago)

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(#M40010065) CAT QUESTION Keep an EYE

A car is going around a track that is a square, one mile on a side. If it goes 60 mph around the first two sides and 30 mph on the the third side, how fast must it go to average 60 mph all the way around?

Asked In CAT jyotish r (13 years ago)

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(#M40010063) OTHERS QUESTION Keep an EYE

SAM and john were thick friends in childhood. But as part of studies, SAM went to america and JOHN to london.

After several years sam went to london for his higher studies. He accidently came to meet his old friend. JOHN said he was now married and has three children. When SAM asked their ages, the john said that the product of their ages is 36. sam asked for another clue and the john asked if he could see the number on the house across the street. When sam said yes, john said that the sum of their ages equaled that number. sam said he still could not determine their ages. Then john said that his oldest child has red hair. Finally sam knew their ages. What were their ages and how did he know?

Asked In Others jyotish r (13 years ago)

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(#M40010036) SELF QUESTION Keep an EYE

A rectangular sheet of paper is folded so that two diagonally opposite corners come together. The crease thus formed is as long as the longer side of the rectangle. What is the ratio of the longer side of the rectangle to the shorter?

jyotish r (13 years ago)

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(#M40010035) SELF QUESTION Keep an EYE

Without computing their actual values, which is greater, e^(pi) or (pi)^e?explain

jyotish r (13 years ago)

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