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Recent questions tagged cat1996

2 votes
1 answer
43
CAT 1996 | Question: 143
A man has nine friends, four boys and five girls. In how many ways can he invite them, if there have to be exactly three girls in the invitees? $320$ $150$ $80$ $200$
A man has nine friends, four boys and five girls. In how many ways can he invite them, if there have to be exactly three girls in the invitees?$320$$150$ $80$$200$
1 votes
1 answer
44
CAT 1996 | Question: 142
Instead of a metre scale, a cloth merchant uses a $120$ cm scale while buying, but uses an 80 cm scale while selling the same cloth. If he offers a discount of $20$ percent on cash payment, what is his overall percent profit? $20$% $25$% $40$% $15$%
Instead of a metre scale, a cloth merchant uses a $120$ cm scale while buying, but uses an 80 cm scale while selling the same cloth. If he offers a discount of $20$ perce...
2 votes
1 answer
46
CAT 1996 | Question: 140
A watch dealer incurs an expense of Rs $150$ for producing every watch. He also incurs an additional expenditure of Rs. $30,000$ ... season in order to break even, given that he is able to sell all the watches produced? $500$ $700$ $800$ $1,000$
A watch dealer incurs an expense of Rs $150$ for producing every watch. He also incurs an additional expenditure of Rs. $30,000$, which is independent of the number of wa...
1 votes
1 answer
48
CAT 1996 | Question: 138
If x is a positive integer such that. $2x + 12$ is perfectly divisibly by $x$, then the number of possible values of $x$ is: $2$ $5$ $6$ $12$
If x is a positive integer such that. $2x + 12$ is perfectly divisibly by $x$, then the number of possible values of $x$ is:$2$$5$$6$$12$
3 votes
1 answer
49
CAT 1996 | Question: 137
I bought $5$ pens, $7$ pencils and $4$ erasers. Rajan bought $6$ pens, $8$ erasers and $14$ pencils for an amount which was half more than what I had paid. What percent of the total amount paid by me was paid for the pens? $37.5$% $625$% $50$% None of these
I bought $5$ pens, $7$ pencils and $4$ erasers. Rajan bought $6$ pens, $8$ erasers and $14$ pencils for an amount which was half more than what I had paid. What percent o...
1 votes
1 answer
50
CAT 1996 | Question: 136
If ABCD is a square and BCE is an equilateral triangle, what is the measure of the angle DEC? $15 ^{\circ}$ $30 ^{\circ}$ $0 ^{\circ}$ $45 ^{\circ}$
If ABCD is a square and BCE is an equilateral triangle, what is the measure of the angle DEC?$15 ^{\circ}$$30 ^{\circ}$$0 ^{\circ}$ $45 ^{\circ}$
1 votes
1 answer
51
CAT 1996 | Question: 135
In a locality, two-thirds of the people have cable-TV, one-fifth have VCR, and one-tenth have both, what is the fraction of people having either cable TV or VCR? $19/30$ $3/5$ $17/30$ $23/30$
In a locality, two-thirds of the people have cable-TV, one-fifth have VCR, and one-tenth have both, what is the fraction of people having either cable TV or VCR?$19/30$ $...
2 votes
1 answer
52
CAT 1996 | Question: 134
The figures shows a circle of diameter AB and radius $6.5$ cm. If chord CA is $5$ cm long, find the area of triangle ABC. $60$ sq.cm. $30$ sq.cm $40$ sq.cm. $52$ sq.cm.
The figures shows a circle of diameter AB and radius $6.5$ cm. If chord CA is $5$ cm long, find the area of triangle ABC.$60$ sq.cm.$30$ sq.cm$40$ sq.cm.$52$ sq.cm.
1 votes
2 answers
58
CAT 1996 | Question: 128
If n is any odd number greater than $1$, then the largest number that divides $n(n^{2} - 1)$ is: $48$ $24$ $6$ None of these
If n is any odd number greater than $1$, then the largest number that divides $n(n^{2} - 1)$ is:$48$ $24$ $6$None of these
3 votes
1 answer
59
CAT 1996 | Question: 127
The points of intersection of three lines, $2X + 3Y - 5 = 0, 5X - 7Y + 2 = 0$, and $9X-5Y-4 =0$: form a triangle. are on lines perpendicular to each other. are on lines parallel to each other. are coincident.
The points of intersection of three lines, $2X + 3Y - 5 = 0, 5X - 7Y + 2 = 0$, and $9X-5Y-4 =0$:form a triangle.are on lines perpendicular to each other.are on lines para...
0 votes
1 answer
60
CAT 1996 | Question: 126
A cube of side $12$ cm is painted red on all the faces and then cut into smaller cubes, each of side $3$ cm. What is the total number of smaller cubes having none of their faces painted? $16$ $8$ $12$ $24$
A cube of side $12$ cm is painted red on all the faces and then cut into smaller cubes, each of side $3$ cm. What is the total number of smaller cubes having none of thei...
–1 votes
0 answers
70
CAT 1996 | Question: 116
A, S, M and Dare functions of x and y, and they are defined as follows: $A(x, y) + x + y$ $S(x, y) = x - y$ $M(x, y) = xy$ $D(x, y) = x/y$, where $y \neq 0$. What is the value of $M(M(A(M(x, y),S(y,x)), x),A(y, x))$ for $x = 2, y = 3$ $50$ $140$ $25$ $70$
A, S, M and Dare functions of x and y, and they are defined as follows:$A(x, y) + x + y$ $S(x, y) = x - y$$M(x, y) = xy$ $D(x, y) = x/y$,where $y \neq 0$.What is the valu...
–1 votes
1 answer
71
CAT 1996 | Question: 115
In triangle ABC, angle B is a right angle. If AC is 6 cm, and D is the mid-point of side AC, the length of BD is: $4$ cm $6$ cm $3$ cm $3.5$ cm
In triangle ABC, angle B is a right angle. If AC is 6 cm, and D is the mid-point of side AC, the length of BD is:$4$ cm$6$ cm$3$ cm$3.5$ cm
–1 votes
1 answer
72
CAT 1996 | Question: 114
The price of a Maruti car rises by $30$% while the sales of the car came down by $20$%. What is the percent change in the total revenue? $–4$ $–2$ $+4$ $0$
The price of a Maruti car rises by $30$% while the sales of the car came down by $20$%. What is the percent change in the total revenue?$–4$ $–2$ $+4$ $0$
–1 votes
1 answer
73
CAT 1996 | Question: 113
I sold two watches for Rs. $300$ each, one at a loss of $10$% and the other at a profit of $10$%. What is the percent loss $(–)$ or the percent profit $(+)$ that resulted from the transaction? $(+) 10$ $(–) 1$ $(+) 1$ $0$
I sold two watches for Rs. $300$ each, one at a loss of $10$% and the other at a profit of $10$%. What is the percent loss $(–)$ or the percent profit $(+)$ that result...
–1 votes
1 answer
74
CAT 1996 | Question: 112
Given the quadratic equation $x^{2}-(A-3) x- (A-2) = 0$, for what value of $A$ will the sum of the squares of the roots be zero? $-2$ $3$ $6$ None of these
Given the quadratic equation $x^{2}-(A-3) x- (A-2) = 0$, for what value of $A$ will the sum of the squares of the roots be zero?$-2$$3$ $6$ None of these
–1 votes
1 answer
76
CAT 1996 | Question: 110
If a number $774958A96B$ is to be divisible by $8$ and $9$, the values of A and B. respectively, will be: $7,8$ $8,0$ $5,8$ None of these
If a number $774958A96B$ is to be divisible by $8$ and $9$, the values of A and B. respectively, will be:$7,8$$8,0$ $5,8$ None of these
–1 votes
1 answer
77
CAT 1996 | Question: 109
A closed wooden box of thickness $0.5$ cm and length $21$ cm, width $11$ cm, and height $6$ cm, is panted on the inside. The cost of painting is Rs $70$. What is the rate of painting in rupees per sq. cm? $0.7$ $0.5$ $0.1$ $0.2$
A closed wooden box of thickness $0.5$ cm and length $21$ cm, width $11$ cm, and height $6$ cm, is panted on the inside. The cost of painting is Rs $70$. What is the rate...
–1 votes
1 answer
80
CAT 1996 | Question: 106
From a circular sheet of paper with a radius of 20 cm, four circles of radius 5cm each are cut out. What is the ratio of the paper left to the area of the circles? $1:3$ $4:1$ $3:1$ $4:3$
From a circular sheet of paper with a radius of 20 cm, four circles of radius 5cm each are cut out. What is the ratio of the paper left to the area of the circles?$1:3$ $...
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