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Recent questions tagged general-aptitude

1 votes
0 answers
91
ISI2018-PCB-A3
Let $n,r\ $and$\ s$ be positive integers, each greater than $2$.Prove that $n^r-1$ divides $n^s-1$ if and only if $r$ divides $s$.
Let $n,r\ $and$\ s$ be positive integers, each greater than $2$.Prove that $n^r-1$ divides $n^s-1$ if and only if $r$ divides $s$.
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1 votes
1 answer
93
ISI2018-MMA-27
Number of real solutions of the equation $x^7 + 2x^5 + 3x^3 + 4x = 2018$ is $1$ $3$ $5$ $7$
Number of real solutions of the equation $x^7 + 2x^5 + 3x^3 + 4x = 2018$ is$1$$3$$5$$7$
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2 votes
1 answer
94
ISI2018-MMA-24
The sum of the infinite series $1+\frac{2}{3}+\frac{6}{3^2}+\frac{10}{3^3}+\frac{14}{3^4}+\dots $ is $2$ $3$ $4$ $6$
The sum of the infinite series $1+\frac{2}{3}+\frac{6}{3^2}+\frac{10}{3^3}+\frac{14}{3^4}+\dots $ is$2$$3$$4$$6$
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0 votes
1 answer
95
ISI2018-MMA-22
The $x$-axis divides the circle $x^2 + y^2 − 6x − 4y + 5 = 0$ into two parts. The area of the smaller part is $2\pi-1$ $2(\pi-1)$ $2\pi-3$ $2(\pi-2)$
The $x$-axis divides the circle $x^2 + y^2 − 6x − 4y + 5 = 0$ into two parts. The area of the smaller part is$2\pi-1$$2(\pi-1)$$2\pi-3$$2(\pi-2)$
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0 votes
1 answer
96
ISI2018-MMA-21
The angle between the tangents drawn from the point $(1, 4)$ to the parabola $y^2 = 4x$ is $\pi /2$ $\pi /3$ $\pi /4$ $\pi /6$
The angle between the tangents drawn from the point $(1, 4)$ to the parabola $y^2 = 4x$ is$\pi /2$$\pi /3$$\pi /4$$\pi /6$
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2 votes
1 answer
97
ISI2018-MMA-9
If $\alpha$ is a root of $x^2-x+1$, then $\alpha^{2018} + \alpha^{-2018}$ is $-1$ $0$ $1$ $2$
If $\alpha$ is a root of $x^2-x+1$, then $\alpha^{2018} + \alpha^{-2018}$ is$-1$$0$$1$$2$
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0 votes
2 answers
99
ISI2018-MMA-7
The greatest common divisor of all numbers of the form $p^2 − 1$, where $p \geq 7$ is a prime, is $6$ $12$ $24$ $48$
The greatest common divisor of all numbers of the form $p^2 − 1$, where $p \geq 7$ is a prime, is$6$$12$$24$$48$
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3 votes
5 answers
100
ISI2018-MMA-3
The number of trailing zeros in $100!$ is $21$ $23$ $24$ $25$
The number of trailing zeros in $100!$ is$21$$23$$24$$25$
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3 votes
1 answer
101
ISI2018-MMA-2
The number of squares in the following figure is $\begin{array}{|c|c|c|c|}\hline \text{} & & & \\\hline \hline \text{} & & & \\\hline \hline \text{} & & & \\\hline \hline \text{} & & & \\\hline \end{array}$ $25$ $26$ $29$ $30$
The number of squares in the following figure is$$\begin{array}{|c|c|c|c|}\hline \text{} & & & \\\hline \hline \text{} & & & \\\hline \hline \text{} & & & \\\hline \hline...
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1 votes
2 answers
102
ISI2018-MMA-1
The number of isosceles (but not equilateral) triangles with integer sides and no side exceeding $10$ is $65$ $75$ $81$ $90$
The number of isosceles (but not equilateral) triangles with integer sides and no side exceeding $10$ is$65$$75$$81$$90$
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0 votes
1 answer
103
Made Easy Test Series:General Aptitude
A rod is cut into $3$ equal parts. The resulting portion are then cut into $18,27,48$ equal parts, respectively. If each of the resulting portions have integral length, then minimum length of the rod is ____________
A rod is cut into $3$ equal parts. The resulting portion are then cut into $18,27,48$ equal parts, respectively. If each of the resulting portions have integral length, t...
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1 votes
1 answer
104
ISI2019-MMA-26
If $t = \begin{pmatrix} 200 \\ 100 \end{pmatrix}/4^{100} $, then $t < \frac{1}{3}$ $\frac{1}{3} < t < \frac{1}{2}$ $\frac{1}{2} < t < \frac{2}{3}$ $\frac{2}{3} < t < 1$
If $t = \begin{pmatrix} 200 \\ 100 \end{pmatrix}/4^{100} $, then$t < \frac{1}{3}$$\frac{1}{3} < t < \frac{1}{2}$$\frac{1}{2} < t < \frac{2}{3}$$\frac{2}{3} < t < 1$
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1 votes
3 answers
105
ISI2019-MMA-12
Given a positive integer $m$, we define $f(m)$ as the highest power of $2$ that divides $m$. If $n$ is a prime number greater than $3$, then $f(n^3-1) = f(n-1)$ $f(n^3-1) = f(n-1) +1$ $f(n^3-1) = 2f(n-1)$ None of the above is necessarily true
Given a positive integer $m$, we define $f(m)$ as the highest power of $2$ that divides $m$. If $n$ is a prime number greater than $3$, then$f(n^3-1) = f(n-1)$$f(n^3-1) =...
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0 votes
3 answers
106
ISI2019-MMA-11
How many triplets of real numbers $(x,y,z)$ are simultaneous solutions of the equations $x+y=2$ and $xy-z^2=1$? $0$ $1$ $2$ infinitely many
How many triplets of real numbers $(x,y,z)$ are simultaneous solutions of the equations $x+y=2$ and $xy-z^2=1$?$0$$1$$2$infinitely many
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2 votes
1 answer
107
ISI2019-MMA-3
The sum of all $3$ digit numbers that leave a remainder of $2$ when divided by $3$ is: $189700$ $164850$ $164750$ $149700$
The sum of all $3$ digit numbers that leave a remainder of $2$ when divided by $3$ is:$189700$$164850$$164750$$149700$
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3 votes
1 answer
108
ISI2019-MMA-1
The highest power of $7$ that divides $100!$ is : $14$ $15$ $16$ $18$
The highest power of $7$ that divides $100!$ is : $14$$15$$16$$18$
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3 votes
2 answers
109
IIIT PGEE 2019
How many pairs of positive integers do $m$ and $n$ satisfy in $\frac{1}{m}+\frac{4}{n}=\frac{1}{12}, $ where $n$ is odd and less than $60?$ 3 5 7 9
How many pairs of positive integers do $m$ and $n$ satisfy in $\frac{1}{m}+\frac{4}{n}=\frac{1}{12}, $ where $n$ is odd and less than $60?$3579
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0 votes
2 answers
111
Allen Career Institute:General Aptitude
Select the best alternative Motorcycle : Battery : : Life : ? (1) Star (2) Moon (3) Sun (4) Earth I given answer as (4), but correct one is (3) why?
Select the best alternative Motorcycle : Battery : : Life : ?(1) Star(2) Moon(3) Sun(4) EarthI given answer as (4), but correct one is (3) why?
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0 votes
1 answer
113
Allen Career Institute: Aptitude
If $log_{4}\left ( \frac{2}{x} \right )+log_{16}\left ( 0.5 \right )=2$ then $(A)$ $4log_{4}x=-7$ $\left ( B \right )2log_{4}x=-7$ $\left ( C \right )2log_{16}x=-7$ $\left ( D \right )log_{16}x=-7$
If $log_{4}\left ( \frac{2}{x} \right )+log_{16}\left ( 0.5 \right )=2$ then$(A)$ $4log_{4}x=-7$$\left ( B \right )2log_{4}x=-7$$\left ( C \right )2log_{16}x=-7$$\left ( ...
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5 votes
1 answer
114
GATE2019 CE-1: GA-1
The lecture was attended by quite _______ students, so the hall was not very _______. a few, quite few, quiet a few, quiet few, quite
The lecture was attended by quite _______ students, so the hall was not very _______.a few, quitefew, quieta few, quietfew, quite
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2 votes
1 answer
115
GATE2019 CE-1: GA-2
They have come a long way in ________ trust among the users. creating created creation create
They have come a long way in ________ trust among the users.creatingcreatedcreationcreate
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5 votes
1 answer
117
GATE2019 CE-1: GA-5
The CEO’s decision to quit was as shocking to the Board as it was to ______. I me my myself
The CEO’s decision to quit was as shocking to the Board as it was to ______.Imemymyself
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