Let $x,y,z$ be distinct integers. $x$ and $y$ are odd positive integers and $z$ is an even positive integer. Which of the following cannot be true?
Previous 10 Questions — NIMCET 2008
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If both $7^2$ and $3^3$ are factors of
$a\times11^3\times6^2\times13^{11}$,
then the smallest possible value of $a$ is
Topic: NIMCET 2008
If $x$ and $y$ are the two digits of the number $565xy$ such that the number is divisible by $80$, then $x+y$ equals
Topic: NIMCET 2008
Three players – Aalu, Kachaalu and Bhalu were playing poker.
At least one cheated.
Exactly one always spoke the truth, …
Topic: NIMCET 2008
In a class, six students $P,Q,R,S,T,U$ are the top six rank holders.
$R$ did not get the 4th rank.
$P$’s rank is higher…
Topic: NIMCET 2008
Four friends – Arjan, Bhuvan, Guran and Lakha were comparing the number of sheep they owned.
Guran has 10 more sheep th…
Topic: NIMCET 2008
$\text{Which of the following are greater than } x \text{ when } x=\frac{9}{11}?$
$(I)\ \frac{1}{x}$
$(II)\ \frac{x+…
Topic: NIMCET 2008
A car is filled with 4½ liters of fuel for a round trip.
If the amount of fuel taken while going is 1/4th more than the…
Topic: NIMCET 2008
What is the diameter of the largest circle that can be drawn on a chessboard so that its entire circumference gets cove…
Topic: NIMCET 2008
What is the next letter in the series
O T T F F S S E N _______
Topic: NIMCET 2008
You are given two (unmarked) containers of capacity 9 liters and 4 liters, and a huge tank of water.
Need is to get a m…
Topic: NIMCET 2008
Next 10 Questions — NIMCET 2008
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From a height of $16$ meters a ball fell down and each time it bounces half the distance back.
What is the total distan…
Topic: NIMCET 2008
If a man walks at the rate of $4$ kmph, he misses a train by $6$ minutes.
If he walks at $5$ kmph, he reaches the stati…
Topic: NIMCET 2008
The office staff of XYZ Corporation presently consists of three bookkeepers, P, Q, R and 5 secretariesS, T, U, V, W. Th…
Topic: NIMCET 2008
The office staff of XYZ Corporation presently consists of three bookkeepers, P, Q, R and 5 secretariesS, T, U, V, W. Th…
Topic: NIMCET 2008
The office staff of XYZ Corporation presently consists of three bookkeepers, P, Q, R and 5 secretariesS, T, U, V, W. Th…
Topic: NIMCET 2008
The office staff of XYZ Corporation presently consists of three bookkeepers, P, Q, R and 5 secretariesS, T, U, V, W. Th…
Topic: NIMCET 2008
Substitutes digits for the letters to make the following relation true S T I L L + W I T H I N &n…
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12 members were present at a board meeting. Each member shook hands with all of other members before and after the meet…
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The letters P, Q, R, S, T, U and V represent seven consecutive integers from 22 to 28 (not necessarily in that order).U…
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There were a total of 10 bicycles and tricycles. If the total number of wheels was 24, how many tricycles were there?
Topic: NIMCET 2008
