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Recent questions tagged quantitative-aptitude

2 votes
2 answers
991
NIELIT 2018-5
Suppose a fraud shopkeeper sells rice to the customer at the cost price, but he uses a false weight of $900$ gm for a kg then his percentage gain is ______ $5.75 \%$ $5.56 \%$ $5.20 \%$ $5.00 \%$
Suppose a fraud shopkeeper sells rice to the customer at the cost price, but he uses a false weight of $900$ gm for a kg then his percentage gain is ______$5.75 \%$$5.56 ...
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1 votes
2 answers
993
NIELIT 2018-8
Let us consider the length of the side of a square represented by $2y+3$. The length of the side of an equilateral triangle is $4y$. If the square and the equilateral triangle have equal perimeter, then what is the value of $y$? $3$ $4$ $6$ $8$
Let us consider the length of the side of a square represented by $2y+3$. The length of the side of an equilateral triangle is $4y$. If the square and the equilateral tri...
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3 votes
3 answers
994
NIELIT 2018-17
If $2a+3b+c=0$, then at least one root of the equation $ax^2+bx+c=0$, lies in the interval: $(0,1)$ $(1,2)$ $(2,3)$ $(1,3)$
If $2a+3b+c=0$, then at least one root of the equation $ax^2+bx+c=0$, lies in the interval:$(0,1)$$(1,2)$$(2,3)$$(1,3)$
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1 votes
0 answers
996
Number series
2 ,2,3,8,45,?,1440. Please suggest missing number in the series
2 ,2,3,8,45,?,1440. Please suggest missing number in the series
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0 votes
1 answer
997
percentages
Q:If we express 41(3/17)% as a fraction ,then it is equal to a.17/7 b.7/17 c.12/17 d.3/17 e.27/17
Q:If we express 41(3/17)% as a fraction ,then it is equal to a.17/7 b.7/17 c.12/17 d.3/17 e.27/17
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2 votes
1 answer
999
Remainder Theorem
How to solve this?
How to solve this?
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1 votes
2 answers
1000
General Topic Doubt General Aptitude: Numerical Ability
What is the smallest number that when divided by 12, leaves 10, when divided by 16, leaves 14 and when divided by 24, leaves 22 as a remainder?
What is the smallest number that when divided by 12, leaves 10, when divided by 16, leaves 14 and when divided by 24, leaves 22 as a remainder?
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0 votes
2 answers
1001
Aptitude Doubt
(1-1/3) (1-1/4) (1-1/5)...(1-1/n)=x then the value of x is : a)1/n b)2/n c)2(n-1)/n d)2/n(n+1)
(1-1/3) (1-1/4) (1-1/5)...(1-1/n)=x then the value of x is :a)1/n b)2/n c)2(n-1)/n d)2/n(n+1)
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0 votes
2 answers
1002
Aptitude Doubt
The least number of five digits which is exactly divisible by 12,15 and 18 is: a)10080 b)10800 c)18000 d)81000
The least number of five digits which is exactly divisible by 12,15 and 18 is:a)10080 b)10800 c)18000 d)81000
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0 votes
1 answer
1003
ISI2017-PCB-A-1
Suppose all the roots of the equation $x^3 +bx-2017=0$ (where $b$ is a real number) are real. Prove that exactly one root is positive.
Suppose all the roots of the equation $x^3 +bx-2017=0$ (where $b$ is a real number) are real. Prove that exactly one root is positive.
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0 votes
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1004
ISI2017-PCB-A-2
Let $a, b, c$ and $d$ be real numbers such that $a+b=c+d$ and $ab=cd$. Prove that $a^n+b^n=c^n+d^n$ for all positive integers $n$.
Let $a, b, c$ and $d$ be real numbers such that $a+b=c+d$ and $ab=cd$. Prove that $a^n+b^n=c^n+d^n$ for all positive integers $n$.
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1 votes
1 answer
1005
ISI2016-PCB-A-1
If $\alpha, \beta, \gamma$ are the roots of the equation $x^3+6x+1=0$, then prove that $\frac{\alpha}{\beta} + \frac{\beta}{\alpha} + \frac{\beta}{\gamma}+ \frac{\gamma}{\beta} + \frac{\gamma}{\alpha}+ \frac{\alpha}{\gamma}=-3.$
If $\alpha, \beta, \gamma$ are the roots of the equation $x^3+6x+1=0$, then prove that $$\frac{\alpha}{\beta} + \frac{\beta}{\alpha} + \frac{\beta}{\gamma}+ \frac{\gamma}...
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1 votes
2 answers
1006
GATE APTITUDE
Options are A) 1:3^(1/3) B) 3^(1/3):1 C) 3:1 D) 3^(2/3):1
Options areA) 1:3^(1/3) B) 3^(1/3):1 C) 3:1 D) 3^(2/3):1
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0 votes
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1008
ISI2017-MMA-3
If $\alpha, \beta$ and $\gamma$ are the roots of the equation $x^3+3x^2-8x+1=0$, then an equation whose roots are $\alpha+1, \beta+1$ and $\gamma+1$ is given by $y^3-11y+11=0$ $y^3-11y-11=0$ $y^3+13y+13=0$ $y^3+6y^2+y-3=0$
If $\alpha, \beta$ and $\gamma$ are the roots of the equation $x^3+3x^2-8x+1=0$, then an equation whose roots are $\alpha+1, \beta+1$ and $\gamma+1$ is given by $y^3-11y+...
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0 votes
1 answer
1009
ISI2017-MMA-7
Let $n \geq 3$ be an integer. Then the statement $(n!)^{1/n} \leq \dfrac{n+1}{2}$ is true for every $n \geq 3$ true if and only if $n \geq 5$ not true for $n \geq 10$ true for even integers $n \geq 6$, not true for odd $n \geq 5$
Let $n \geq 3$ be an integer. Then the statement $(n!)^{1/n} \leq \dfrac{n+1}{2}$ istrue for every $n \geq 3$true if and only if $n \geq 5$not true for $n \geq 10$true fo...
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1 votes
4 answers
1010
ISI2017-MMA-10
The inequality $\mid x^2 -5x+4 \mid > (x^2-5x+4)$ holds if and only if $1 < x < 4$ $x \leq 1$ and $x \geq 4$ $1 \leq x \leq 4$ $x$ takes any value except $1$ and $4$
The inequality $\mid x^2 -5x+4 \mid (x^2-5x+4)$ holds if and only if$1 < x < 4$$x \leq 1$ and $x \geq 4$$1 \leq x \leq 4$$x$ takes any value except $1$ and $4$
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0 votes
2 answers
1011
ISI2017-MMA-11
The digit in the unit's place of the number $2017^{2017}$ is $1$ $3$ $7$ $9$
The digit in the unit's place of the number $2017^{2017}$ is$1$$3$$7$$9$
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0 votes
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1012
ISI2017-MMA-12
Which of the following statements is true? There are three consecutive integers with sum $2015$ There are four consecutive integers with sum $2015$ There are five consecutive integers with sum $2015$ There are three consecutive integers with product $2015$
Which of the following statements is true?There are three consecutive integers with sum $2015$There are four consecutive integers with sum $2015$There are five consecutiv...
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0 votes
3 answers
1013
ISI2017-MMA-30
The graph of a cubic polynomial $f(x)$ is shown below. If $k$ is a constant such that $f(x)=k$ has three real solutions, which of the following could be a possible value of $k$? $3$ $0$ $-7$ $-3$
The graph of a cubic polynomial $f(x)$ is shown below. If $k$ is a constant such that $f(x)=k$ has three real solutions, which of the following could be a possible value ...
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0 votes
0 answers
1014
Aptitude
Options are A.72 B.30 C.24 D.45
Options are A.72 B.30 C.24 D.45
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0 votes
1 answer
1015
ISI2016-MMA-12
Suppose there are $n$ positive real numbers such that their sum is 20 and the product is strictly greater than 1. What is the maximum possible value of n? 18 19 20 21
Suppose there are $n$ positive real numbers such that their sum is 20 and the product is strictly greater than 1. What is the maximum possible value of n?18192021
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0 votes
1 answer
1016
ISI2016-MMA-15
The number of positive integers $n$ for which $n^2 +96$ is a perfect square $0$ $1$ $2$ $4$
The number of positive integers $n$ for which $n^2 +96$ is a perfect square$0$$1$$2$$4$
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0 votes
0 answers
1017
ISI2016-MMA-16
Suppose a 6 digit number $N$ is formed by rearranging the digits of the number 123456. If $N$ is divisible by 5, then the set of all possible remainders when $N$ is divided by 45 is $\{30\}$ $\{15, 30\}$ $\{0, 15, 30\}$ $\{0, 5, 15, 30\}$
Suppose a 6 digit number $N$ is formed by rearranging the digits of the number 123456. If $N$ is divisible by 5, then the set of all possible remainders when $N$ is divid...
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0 votes
0 answers
1018
ISI2016-MMA-17
The number of positive integers $n$ for which $n^3 +(n+1)^3 +(n+2)^3 = (n+3)^3$ is $0$ $1$ $2$ $3$
The number of positive integers $n$ for which $n^3 +(n+1)^3 +(n+2)^3 = (n+3)^3$ is$0$$1$$2$$3$
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0 votes
0 answers
1019
ISI2016-MMA-29
Suppose $a$ is a real number for which all the roots of the equation $x^4 -2ax^2+x+a^2-a=0$ are real. Then $a<-\frac{2}{3}$ $a=0$ $0<a<\frac{3}{4}$ $a \geq \frac{3}{4}$
Suppose $a$ is a real number for which all the roots of the equation $x^4 -2ax^2+x+a^2-a=0$ are real. Then$a<-\frac{2}{3}$$a=0$$0<a<\frac{3}{4}$$a \geq \frac{3}{4}$
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