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Recent questions tagged cat2005
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81
CAT 2005 | Question: 11
Let $n! = 1 \times 2 \times 3 \times \dots \times n$ for integer $n \geq 1$. If $p = 1! (2 \times 2!) + (3 \times 3!) + \dots + (10 \times 10!)$, then $p+2$ when divided by $11!$ leaves a remainder of $10$ $0$ $7$ $1$
Let $n! = 1 \times 2 \times 3 \times \dots \times n$ for integer $n \geq 1$. If $p = 1! (2 \times 2!) + (3 \times 3!) + \dots + (10 \times 10!)$, then $p+2$ when divided ...
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13.8k
points
346
views
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asked
Dec 29, 2015
Quantitative Aptitude
cat2005
quantitative-aptitude
number-systems
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0
votes
1
answer
82
CAT 2005 | Question: 10
For which value of $k$ does the following pair of equations yield a unique solution for $x$ such that the solution is positive? $x^2 - y^2 =0$ $(x-k)^2 + y^2 =1$ $2$ $0$ $\sqrt{2}$ -$\sqrt{2}$
For which value of $k$ does the following pair of equations yield a unique solution for $x$ such that the solution is positive?$x^2 - y^2 =0$$(x-k)^2 + y^2 =1$$2$$0$$\sqr...
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13.8k
points
576
views
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asked
Dec 29, 2015
Quantitative Aptitude
cat2005
quantitative-aptitude
quadratic-equations
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–
0
votes
1
answer
83
CAT 2005 | Question: 09
What is the distance in cm between two parallel chords of length $32$ cm and $24$ cm in a circle of radius $20$ cm? $1$ or $7$ $2$ or $14$ $3$ or $21$ $4$ or $28$
What is the distance in cm between two parallel chords of length $32$ cm and $24$ cm in a circle of radius $20$ cm?$1$ or $7$$2$ or $14$$3$ or $21$$4$ or $28$
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13.8k
points
691
views
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asked
Dec 29, 2015
Quantitative Aptitude
cat2005
quantitative-aptitude
geometry
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–
0
votes
1
answer
84
CAT 2005 | Question: 08
If $\text{R} = \dfrac{30^{65} – 29^{65}}{30^{64} + 29^{64}}$ then $0 < \text{R} \leq 0.1$ $0.1 < \text{R} \leq 0.5$ $0.5 < \text{R} \leq 1.0$ $\text{R} > 1.0$
If $\text{R} = \dfrac{30^{65} – 29^{65}}{30^{64} + 29^{64}}$ then$0 < \text{R} \leq 0.1$$0.1 < \text{R} \leq 0.5$$0.5 < \text{R} \leq 1.0$$\text{R} 1.0$
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13.8k
points
1.5k
views
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asked
Dec 29, 2015
Quantitative Aptitude
cat2005
quantitative-aptitude
algebra
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0
votes
0
answers
85
CAT 2005 | Question: 06
Answer the question based on the information given below. Ran and Shyam run a race between points A and B, $5$ km apart. Ram starts at $9$ a.m. from A at the speed of $5$ km per hour, reaches B and returns to A at the same speed. Shyam starts at $9:45$ a.m. from A ... what time did Ram and Shyam first meet with each other? $10:00$ a.m. $10:10$ a.m. $10:20$ a.m. $10:30$ a.m.
Answer the question based on the information given below.Ran and Shyam run a race between points A and B, $5$ km apart. Ram starts at $9$ a.m. from A at the speed of $5$ ...
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13.8k
points
520
views
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asked
Dec 29, 2015
Quantitative Aptitude
cat2005
quantitative-aptitude
speed-distance-time
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–
0
votes
1
answer
86
CAT 2005 | Question: 05
In a chess competition involving some boys and girls of a school, every student had to play exactly one game with every other student. It was found that in $45$ games both the players were girls, and in $190$ games both were boys. The number of games in which one player was a boy and other was a girl is $200$ $216$ $235$ $256$
In a chess competition involving some boys and girls of a school, every student had to play exactly one game with every other student. It was found that in $45$ games bot...
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13.8k
points
1.6k
views
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asked
Dec 29, 2015
Quantitative Aptitude
cat2005
quantitative-aptitude
permutation-combination
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–
0
votes
0
answers
87
CAT 2005 | Question: 04
A jogging park has two identical circular tracks touching each other, and a rectangular track enclosing the two circles. The edges of the rectangles are tangential to the circles. Two friends, A and B, start jogging simultaneously from the point where one of the circular tracks touches ... the same time to return to their starting point? $3.88\%$ $4.22\%$ $4.44\%$ $4.72\%$
A jogging park has two identical circular tracks touching each other, and a rectangular track enclosing the two circles. The edges of the rectangles are tangential to the...
go_editor
13.8k
points
628
views
go_editor
asked
Dec 29, 2015
Quantitative Aptitude
cat2005
quantitative-aptitude
speed-distance-time
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–
0
votes
1
answer
88
CAT 2005 | Question: 03
Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side $1$ cm. The area in sq. cm of the portion that is common to the two circles is $\pi / 4$ $\frac{\pi}{2} – 1$ $\frac{\pi}{5}$ $\sqrt{2} – 1$
Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side $1$ cm. The area in sq. cm of the portion that is com...
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13.8k
points
809
views
go_editor
asked
Dec 29, 2015
Quantitative Aptitude
cat2005
quantitative-aptitude
geometry
+
–
0
votes
0
answers
89
CAT 2005 | Question: 02
A chemical plant has four tanks $\text{(A, B, C and D),}$ each containing $1000$ litres of a chemical. The chemical is being pumped from one tank to another as follows: From $\text{A to B}\; @20$ litres/minute From $\text{C to A}\; @ 90$ ... (in minutes) to get empty after pumping starts? $\text{A} 16.66$ $\text{C}, 20$ $\text{D}, 20$ $\text{D}, 25$
A chemical plant has four tanks $\text{(A, B, C and D),}$ each containing $1000$ litres of a chemical. The chemical is being pumped from one tank to another as follows:Fr...
go_editor
13.8k
points
485
views
go_editor
asked
Dec 29, 2015
Quantitative Aptitude
cat2005
quantitative-aptitude
work-time
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–
1
votes
1
answer
90
CAT 2005 | Question: 01
If $x=(16^3 +17^3 + 18^3 + 19^3)$ then $x$ divided by $70$ leaves a remainder of $0$ $1$ $69$ $35$
If $x=(16^3 +17^3 + 18^3 + 19^3)$ then $x$ divided by $70$ leaves a remainder of $0$$1$$69$$35$
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13.8k
points
746
views
go_editor
asked
Dec 29, 2015
Quantitative Aptitude
cat2005
quantitative-aptitude
number-systems
+
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