• Placement Questions

Placement Papers with Solutions

(#M40020135) SELF QUESTION Keep an EYE

Last year, the number of employees at a company was equal to 600, and the ratio of men to women was 5:3. The company hired new employees with a men to women ratio of 1:2 this year, which made the new overall men to women ratio 4:3. How many new employees did the company hire this year?

k.d.n padma rao (12 years ago)

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(#M40020134) SELF QUESTION Keep an EYE

The speed of a cheetah is a constant 2 km per minute. How many km can the cheetah run in 55 minutes?

k.d.n padma rao (12 years ago)

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(#M40020133) SELF QUESTION Keep an EYE

Gwen can run up one flight of stairs in 8 seconds and run down in 3 seconds. How long (in seconds) will it take her to run up and down 5 flights of stairs?

k.d.n padma rao (12 years ago)

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(#M40020132) SELF QUESTION Keep an EYE

Find the sum of all positive integers n such that 1!×2!×3!×⋯×200!/n! is a perfect square.

k.d.n padma rao (12 years ago)

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(#M40020131) SELF QUESTION Keep an EYE

Find the least positive integer d for which there exists an arithmetic progression satisfying the following properties:

Each term of the progression is a positive integer.

The common difference of the progression is d.

No term of the progression appears in the Fibonacci sequence.

k.d.n padma rao (12 years ago)

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(#M40020130) SELF QUESTION Keep an EYE

Let S be the number obtained by writing all the numbers from 1 to 100 in order, and removing the spaces in between. Let T be the number obtained by writing all the numbers from 1 to 100 in reverse order and removing the spaces in between.

What is the remainder when T^2−S^2 is divided by 1000?

k.d.n padma rao (12 years ago)

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(#M40020129) SELF QUESTION Keep an EYE

n is a two digit number such that n^2 is a four digit number with the first 2 digits equal to each other and the last 2 digits equal to each other. What is the value of n?

k.d.n padma rao (12 years ago)

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(#M40020084) SELF QUESTION Adjacent squares of a chessboard Keep an EYE

Consider a 16×16 chessboard. How many unordered pairs of distinct 1×1 squares are there on the chessboard which have at least one corner in common?
Details and assumptions

A pair of squares have at least one corner in common, if there is a point which lies on both squares.

k.d.n padma rao (12 years ago)

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(#M40020083) SELF QUESTION Scientific Bookkeeping Keep an EYE

Marina is taking chemistry, math, and physics classes at school. She has two books for chemistry, three for math, and one for physics. How many ways can Marina arrange her books on the shelf if she wants the books for each class to be next to each other?

k.d.n padma rao (12 years ago)

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(#M40020082) SELF QUESTION 36th term in a sequence Keep an EYE

The sequence S is defined by S1=1 and Sn=Sn−1+n for n≥2. What is S36?

k.d.n padma rao (12 years ago)

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