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1 votes
1 answer
2620
CAT 2015 | Question: 67
A person who has a certain amount with him goes to market. He can buy $50$ oranges or $40$ mangoes. He retains $10\%$ of the amount for taxi fares and buys $20$ mangoes and of the balance he purchases oranges. Number of oranges he can purchase is $36$ $40$ $15$ $20$
A person who has a certain amount with him goes to market. He can buy $50$ oranges or $40$ mangoes. He retains $10\%$ of the amount for taxi fares and buys $20$ mangoes a...
0 votes
1 answer
2623
CAT 2015 | Question: 70
For the product $n\left ( n+1 \right )\left ( 2n+1 \right ),n \in \mathbf{N}$, which one of the following is not necessarily true? It is even Divisible by $3$ Divisible by the sum of the square of first $n$ natural numbers Never divisible by $237$
For the product $n\left ( n+1 \right )\left ( 2n+1 \right ),n \in \mathbf{N}$, which one of the following is not necessarily true? It is evenDivisible by $3$Divisible by ...
0 votes
1 answer
2625
CAT 2015 | Question: 72
$\text{PQRS}$ is a square. $\text{SR}$ is a tangent (at point $\text{S})$ to the circle with centre $\text{O}$ and $\text{TR = OS}$. Then the ratio of area of the circle to the area of the square is $\pi /3$ $11/7$ $3 /\pi$ $7/11$
$\text{PQRS}$ is a square. $\text{SR}$ is a tangent (at point $\text{S})$ to the circle with centre $\text{O}$ and $\text{TR = OS}$. Then the ratio of area of the circle ...
0 votes
0 answers
2626
CAT 2015 | Question: 73
From a circular sheet of paper with a radius $20$ cm, four circles of radius $5$ each are cut out. What is the ratio of the uncut to the cut portion? $1: 3$ $4: 1$ $3: 1$ $4: 3$
From a circular sheet of paper with a radius $20$ cm, four circles of radius $5$ each are cut out. What is the ratio of the uncut to the cut portion?$1: 3$$4: 1$$3: 1$$4:...
1 votes
1 answer
2632
CAT 2015 | Question: 79
If $x^{2}+y^{2}= 0.1$ and $\left | x-y \right |=0.2$, then $\left | x \right |+\left | y \right |$ is equal to $0.3$ $0.4$ $0.2$ $0.6$
If $x^{2}+y^{2}= 0.1$ and $\left | x-y \right |=0.2$, then $\left | x \right |+\left | y \right |$ is equal to$0.3$$0.4$$0.2$$0.6$
0 votes
1 answer
2633
CAT 2015 | Question: 80
$\text{ABCD}$ is a rhombus with the diagonals $\text{AC}$ and $\text{BD}$ intersecting at the origin on the $x\text{-}y$ plane. The equation of the straight line $\text{AD}$ is $x + y = 1$. What is the equation of $\text{BC}?$ $x + y = -1$ $x - y = -1$ $x + y = 1$ None of these
$\text{ABCD}$ is a rhombus with the diagonals $\text{AC}$ and $\text{BD}$ intersecting at the origin on the $x\text{-}y$ plane. The equation of the straight line $\text{A...
0 votes
0 answers
2634
CAT 2015 | Question: 81
The set of all positive integers is the union of two disjoint subsets$:\left \{ f\left ( 1 \right ),f\left ( 2 \right ), \dots, f\left ( n \right ), \dots \right \}$ ... $n \geq 1$. What is the value of $g\left ( 1 \right )?$ $0$ $2$ $1$ Cannot be determined
The set of all positive integers is the union of two disjoint subsets$:\left \{ f\left ( 1 \right ),f\left ( 2 \right ), \dots, f\left ( n \right ), \dots \right \}$ and ...
1 votes
1 answer
2635
CAT 2015 | Question: 82
For all non-negative integers $x$ and $y$, $f(x,y)$ is defined as below. $f( 0,y) = y+1$ $f(x+1,0) = f( x, 1)$ $f( x+1, y+1) = f\left( x,f( x+1,y) \right)$ Then what is the value of $f(1,2)$ ________
For all non-negative integers $x$ and $y$, $f(x,y)$ is defined as below.$f( 0,y) = y+1$$f(x+1,0) = f( x, 1)$$f( x+1, y+1) = f\left( x,f( x+1,y) \right)$Then what is the v...
0 votes
0 answers
2636
CAT 2015 | Question: 83
In the figure above, $\text{AB = BC = CD = DE = EF = FG = GA}$. Then $\angle \text{DAE}$ is approximately $15^{\circ}$ $20^{\circ}$ $30^{\circ}$ $25^{\circ}$
In the figure above, $\text{AB = BC = CD = DE = EF = FG = GA}$. Then $\angle \text{DAE}$ is approximately$15^{\circ}$$20^{\circ}$$30^{\circ}$$25^{\circ}$
1 votes
2 answers
2639
CAT 2015 | Question: 86
Fourth term of an arithmetic progression is $8$. What is the sum of the first $7$ terms of the arithmetic progression? $7$ $64$ $56$ Cannot be determined
Fourth term of an arithmetic progression is $8$. What is the sum of the first $7$ terms of the arithmetic progression?$7$$64$$56$Cannot be determined
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