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5001
CAT 2000 | Question: 68
Let $\text{N} = 1421 \times 1423 \times 1425.$ What is the remainder when $\text{N}$ is divided by $12?$ $0$ $9$ $3$ $6$
Let $\text{N} = 1421 \times 1423 \times 1425.$ What is the remainder when $\text{N}$ is divided by $12?$$0$$9$$3$$6$
0 votes
0 answers
5002
CAT 2000 | Question: 67
What is the number of distinct triangles with integral valued sides and perimeter $14? $ $6$ $5$ $4$ $3$
What is the number of distinct triangles with integral valued sides and perimeter $14? $$6$$5$$4$$3$
0 votes
0 answers
5003
CAT 2000 | Question: 66
Let $\text{S}$ be the set of prime numbers greater than or equal to $2$ and less than $100.$ Multiply all elements of $\text{S}.$ With how many consecutive zeros will the product end? $1$ $4$ $5$ $10$
Let $\text{S}$ be the set of prime numbers greater than or equal to $2$ and less than $100.$ Multiply all elements of $\text{S}.$ With how many consecutive zeros will the...
1 votes
1 answer
5004
CAT 2000 | Question: 65
Let $x, y$ and $z$ be distinct integers, that are odd and positive. Which one of the following statements cannot be true? $xyz^2$ is odd. $(x − y)^2 z$ is even. $(x + y − z)^2 (x + y)$ is even. $(x − y) (y + z) (x + y − z)$ is odd
Let $x, y$ and $z$ be distinct integers, that are odd and positive. Which one of the following statements cannot be true?$xyz^2$ is odd.$(x − y)^2 z$ is even.$(x + y �...
0 votes
0 answers
5005
CAT 2000 | Question: 64
Let $\text{S}$ be the set of integers $x$ such that $100 < x < 200$ $x$ is odd $x$ is divisible by $3$ but not by $7$ How many elements does $\text{S}$ contain? $16$ $12$ $11$ $13$
Let $\text{S}$ be the set of integers $x$ such that$100 < x < 200$$x$ is odd$x$ is divisible by $3$ but not by $7$How many elements does $\text{S}$ contain?$16$$12$$11$$1...
1 votes
2 answers
5006
CAT 2000 | Question: 63
One red flag, three white flags and two blue flags are arranged in a line such that, no two adjacent flags are of the same colour. the flags at the two ends of the line are of different colours. In how many different ways can the flags be arranged? $6$ $4$ $10$ $2$
One red flag, three white flags and two blue flags are arranged in a line such that,no two adjacent flags are of the same colour.the flags at the two ends of the line are...
0 votes
0 answers
5007
CAT 2000 | Question: 62
If $x > 2$ and $y > – 1,$ Then which of the following statements is necessarily true? $xy > –2$ $–x < 2y$ $xy < –2$ $–x > 2y$
If $x 2$ and $y – 1,$ Then which of the following statements is necessarily true?$xy –2$$–x < 2y$$xy < –2$$–x 2y$
0 votes
0 answers
5008
CAT 2000 | Question: 61
Consider a sequence of seven consecutive integers. The average of the first five integers is $n.$ The average of all the seven integers is $n$ $n+1$ $\text{K} \times n, \text {where K is a function of } n$ $n + \frac{2}{7}$
Consider a sequence of seven consecutive integers. The average of the first five integers is $n.$ The average of all the seven integers is$n$$n+1$$\text{K} \times n, \tex...
0 votes
0 answers
5010
CAT 2000 | Question: 59
What is the value of the following expression? $\frac{1}{2^2 -1} + \frac{1}{4^2 -1} + \frac{1}{6^2 -1} + \dots + \frac{1}{20^2 -1}$ $\frac{9}{19}$ $\frac{10}{19}$ $\frac{10}{21}$ $\frac{11}{21}$
What is the value of the following expression?$\frac{1}{2^2 -1} + \frac{1}{4^2 -1} + \frac{1}{6^2 -1} + \dots + \frac{1}{20^2 -1}$$\frac{9}{19}$$\frac{10}{19}$$\frac{10}{...
0 votes
0 answers
5011
CAT 2000 | Question: 58
If $a_1 = 1$ and $a_{n+1} = 2a_{n + 5}, n = 1, 2, \dots ,$ then $a_{100}$ is equal to $(5 × 2^99 – 6)$ $(5 × 2^99 + 6)$ $(6 × 2^99 + 5)$ $(6 × 2^99 – 5)$
If $a_1 = 1$ and $a_{n+1} = 2a_{n + 5}, n = 1, 2, \dots ,$ then $a_{100}$ is equal to$(5 × 2^99 – 6)$$(5 × 2^99 + 6)$$(6 × 2^99 + 5)$$(6 × 2^99 – 5)$
0 votes
0 answers
5019
CAT 2000 | Question: 50
The manners and ________ of the nouveau riche is a recurrent ________ in literature. style, motif morals, story wealth, theme morals, theme
The manners and ________ of the nouveau riche is a recurrent ________ in literature.style, motif morals, storywealth, theme morals, theme
0 votes
0 answers
5020
CAT 2000 | Question: 49
In these bleak and depressing times of ________ prices, non-performing governments and ________ crime rates, Sourav Ganguly has given us, Indians, a lot to cheer about. escalating, increasing spiralling, booming spiralling, soaring ascending, debilitating
In these bleak and depressing times of ________ prices, non-performing governments and ________ crime rates, Sourav Ganguly has given us, Indians, a lot to cheer about.es...
0 votes
0 answers
5021
CAT 2000 | Question: 48
It will take some time for many South Koreans to ________ the conflicting images of North Korea, let alone to ________ what to make of their northern cousins. reconcile, decide understand, clarify make out, decide reconcile, understand
It will take some time for many South Koreans to ________ the conflicting images of North Korea, let alone to ________ what to make of their northern cousins.reconcile, d...
0 votes
0 answers
5023
CAT 2000 | Question: 46
Though one eye is kept firmly on the ________, the company now also promotes ________ contemporary art. present, experimental future, popular present, popular market, popular
Though one eye is kept firmly on the ________, the company now also promotes ________ contemporary art.present, experimentalfuture, popularpresent, popularmarket, popular...
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