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Recent questions tagged quantitative-aptitude

0 votes
0 answers
1212
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$
2 votes
1 answer
1213
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
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1214
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
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1215
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
1216
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
1217
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
1218
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
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1219
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$$–x 2y$
0 votes
0 answers
1220
CAT 2000 | Question: 61
Consider a sequence of seven consecutive integers. The average of the first five integers is $n.$ The average of all the seven integers is $n$ $n+1$ $\text{K} \times n, \text {where K is a function of } n$ $n + \frac{2}{7}$
Consider a sequence of seven consecutive integers. The average of the first five integers is $n.$ The average of all the seven integers is$n$$n+1$$\text{K} \times n, \tex...
0 votes
0 answers
1222
CAT 2000 | Question: 59
What is the value of the following expression? $\frac{1}{2^2 -1} + \frac{1}{4^2 -1} + \frac{1}{6^2 -1} + \dots + \frac{1}{20^2 -1}$ $\frac{9}{19}$ $\frac{10}{19}$ $\frac{10}{21}$ $\frac{11}{21}$
What is the value of the following expression?$\frac{1}{2^2 -1} + \frac{1}{4^2 -1} + \frac{1}{6^2 -1} + \dots + \frac{1}{20^2 -1}$$\frac{9}{19}$$\frac{10}{19}$$\frac{10}{...
0 votes
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1223
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)$$(6 × 2^99 – 5)$
0 votes
0 answers
1229
CAT 2002 | Question: 96
If $pqr=1$ then $\frac{1}{1+p+r^{-1}} + \frac{1}{1+q+r^{-1}} + \frac{1}{1+r+p^{-1}} $ is equivalent to $p+q+r$ $\frac{1}{p+q+r}$ $1$ $p^{-1}+q^{-1}+r^{-1}$
If $pqr=1$ then $\frac{1}{1+p+r^{-1}} + \frac{1}{1+q+r^{-1}} + \frac{1}{1+r+p^{-1}} $ is equivalent to$p+q+r$$\frac{1}{p+q+r}$$1$$p^{-1}+q^{-1}+r^{-1}$
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0 answers
1236
CAT 2002 | Question: 86
In how many ways, we can choose a black and a white square on a chess board such that the two are not in the same row or column? $32$ $96$ $24$ None of these
In how many ways, we can choose a black and a white square on a chess board such that the two are not in the same row or column?$32$$96$$24$None of these
0 votes
0 answers
1237
CAT 2002 | Question: 85
How many numbers between $0$ and one million can be formed using $0, 7$ and $8?$ $486$ $1086$ $728$ None of these
How many numbers between $0$ and one million can be formed using $0, 7$ and $8?$$486$$1086$$728$None of these
0 votes
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1239
CAT 2002 | Question: 83
Neeraj has a rectangular field of size $20 \times 40$ sq.mt. He has to mow the field with a moving machine of width $1$ mt. If he mows the field from the extremes to the centre, then the number of rounds taken by him to mow half of the field will be $3.5$ $3.8$ $3$ $4$
Neeraj has a rectangular field of size $20 \times 40$ sq.mt. He has to mow the field with a moving machine of width $1$ mt. If he mows the field from the extremes to the ...
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