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Recent questions tagged cat2000

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132
CAT 2000 | Question: 69
The integers $34041$ and $32506$ when divided by a three-digit integer $`n\text{’}$ leave the same remainder. What is $`n\text{’}?$ $289$ $367$ $453$ $307$
The integers $34041$ and $32506$ when divided by a three-digit integer $ n\text{’}$ leave the same remainder. What is $ n\text{’}?$$289$$367$$453$$307$
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133
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$
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134
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$
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135
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
136
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 �...
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137
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
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138
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...
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139
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$$–x 2y$
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140
CAT 2000 | Question: 61
Consider a sequence of seven consecutive integers. The average of the first five integers is $n.$ The average of all the seven integers is $n$ $n+1$ $\text{K} \times n, \text {where K is a function of } n$ $n + \frac{2}{7}$
Consider a sequence of seven consecutive integers. The average of the first five integers is $n.$ The average of all the seven integers is$n$$n+1$$\text{K} \times n, \tex...
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142
CAT 2000 | Question: 59
What is the value of the following expression? $\frac{1}{2^2 -1} + \frac{1}{4^2 -1} + \frac{1}{6^2 -1} + \dots + \frac{1}{20^2 -1}$ $\frac{9}{19}$ $\frac{10}{19}$ $\frac{10}{21}$ $\frac{11}{21}$
What is the value of the following expression?$\frac{1}{2^2 -1} + \frac{1}{4^2 -1} + \frac{1}{6^2 -1} + \dots + \frac{1}{20^2 -1}$$\frac{9}{19}$$\frac{10}{19}$$\frac{10}{...
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143
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)$
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151
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
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152
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...
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153
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...
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155
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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