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Recent questions tagged general-aptitude
1
votes
0
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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 $s$.
akash.dinkar12
448
views
akash.dinkar12
asked
May 12, 2019
Quantitative Aptitude
isi2018-pcb-a
general-aptitude
quantitative-aptitude
descriptive
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–
0
votes
2
answers
92
ISI2018-PCB-A2
Let there be a pile of $2018$ chips in the center of a table. Suppose there are two players who could alternately remove one, two or three chips from the pile. At least one chip must be removed, but no more than three chips can be removed in a ... game, that is, whatever moves his opponent makes, he can always make his moves in a certain way ensuring his win? Justify your answer.
Let there be a pile of $2018$ chips in the center of a table. Suppose there are two players who could alternately remove one, two or three chips from the pile. At least o...
akash.dinkar12
739
views
akash.dinkar12
asked
May 12, 2019
Analytical Aptitude
isi2018-pcb-a
general-aptitude
analytical-aptitude
logical-reasoning
descriptive
+
–
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$$7$
akash.dinkar12
973
views
akash.dinkar12
asked
May 11, 2019
Quantitative Aptitude
isi2018-mma
general-aptitude
quantitative-aptitude
+
–
2
votes
1
answer
94
ISI2018-MMA-24
The sum of the infinite series $1+\frac{2}{3}+\frac{6}{3^2}+\frac{10}{3^3}+\frac{14}{3^4}+\dots $ is $2$ $3$ $4$ $6$
The sum of the infinite series $1+\frac{2}{3}+\frac{6}{3^2}+\frac{10}{3^3}+\frac{14}{3^4}+\dots $ is$2$$3$$4$$6$
akash.dinkar12
728
views
akash.dinkar12
asked
May 11, 2019
Quantitative Aptitude
isi2018-mma
general-aptitude
quantitative-aptitude
+
–
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$$2(\pi-2)$
akash.dinkar12
694
views
akash.dinkar12
asked
May 11, 2019
Quantitative Aptitude
isi2018-mma
general-aptitude
quantitative-aptitude
+
–
0
votes
1
answer
96
ISI2018-MMA-21
The angle between the tangents drawn from the point $(1, 4)$ to the parabola $y^2 = 4x$ is $\pi /2$ $\pi /3$ $\pi /4$ $\pi /6$
The angle between the tangents drawn from the point $(1, 4)$ to the parabola $y^2 = 4x$ is$\pi /2$$\pi /3$$\pi /4$$\pi /6$
akash.dinkar12
753
views
akash.dinkar12
asked
May 11, 2019
Quantitative Aptitude
isi2018-mma
general-aptitude
quantitative-aptitude
+
–
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$$2$
akash.dinkar12
825
views
akash.dinkar12
asked
May 11, 2019
Quantitative Aptitude
isi2018-mma
general-aptitude
quantitative-aptitude
+
–
0
votes
2
answers
98
ISI2018-MMA-8
Let $a$ and $b$ be two positive integers such that $a = k_1b + r_1$ and $b = k_2r_1 + r_2,$ where $k_1,k_2,r_1,r_2$ are positive integers with $r_2 < r_1 < b$ Then $\text{gcd}(a, b)$ is same as $\text{gcd}(r_1,r_2)$ $\text{gcd}(k_1,k_2)$ $\text{gcd}(k_1,r_2)$ $\text{gcd}(r_1,k_2)$
Let $a$ and $b$ be two positive integers such that $a = k_1b + r_1$ and $b = k_2r_1 + r_2,$ where $k_1,k_2,r_1,r_2$ are positive integers with $r_2 < r_1 < b$ Then $\text...
akash.dinkar12
1.2k
views
akash.dinkar12
asked
May 11, 2019
Quantitative Aptitude
isi2018-mma
general-aptitude
quantitative-aptitude
+
–
0
votes
2
answers
99
ISI2018-MMA-7
The greatest common divisor of all numbers of the form $p^2 − 1$, where $p \geq 7$ is a prime, is $6$ $12$ $24$ $48$
The greatest common divisor of all numbers of the form $p^2 − 1$, where $p \geq 7$ is a prime, is$6$$12$$24$$48$
akash.dinkar12
1.5k
views
akash.dinkar12
asked
May 11, 2019
Quantitative Aptitude
isi2018-mma
general-aptitude
quantitative-aptitude
+
–
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$$25$
akash.dinkar12
1.0k
views
akash.dinkar12
asked
May 11, 2019
Quantitative Aptitude
isi2018-mma
general-aptitude
quantitative-aptitude
number-theory
+
–
3
votes
1
answer
101
ISI2018-MMA-2
The number of squares in the following figure is $\begin{array}{|c|c|c|c|}\hline \text{} & & & \\\hline \hline \text{} & & & \\\hline \hline \text{} & & & \\\hline \hline \text{} & & & \\\hline \end{array}$ $25$ $26$ $29$ $30$
The number of squares in the following figure is$$\begin{array}{|c|c|c|c|}\hline \text{} & & & \\\hline \hline \text{} & & & \\\hline \hline \text{} & & & \\\hline \hline...
akash.dinkar12
656
views
akash.dinkar12
asked
May 11, 2019
Quantitative Aptitude
isi2018-mma
general-aptitude
quantitative-aptitude
+
–
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$$90$
akash.dinkar12
1.9k
views
akash.dinkar12
asked
May 11, 2019
Quantitative Aptitude
isi2018-mma
general-aptitude
quantitative-aptitude
+
–
0
votes
1
answer
103
Made Easy Test Series:General Aptitude
A rod is cut into $3$ equal parts. The resulting portion are then cut into $18,27,48$ equal parts, respectively. If each of the resulting portions have integral length, then minimum length of the rod is ____________
A rod is cut into $3$ equal parts. The resulting portion are then cut into $18,27,48$ equal parts, respectively. If each of the resulting portions have integral length, t...
srestha
821
views
srestha
asked
May 11, 2019
Quantitative Aptitude
general-aptitude
made-easy-test-series
quantitative-aptitude
+
–
1
votes
1
answer
104
ISI2019-MMA-26
If $t = \begin{pmatrix} 200 \\ 100 \end{pmatrix}/4^{100} $, then $t < \frac{1}{3}$ $\frac{1}{3} < t < \frac{1}{2}$ $\frac{1}{2} < t < \frac{2}{3}$ $\frac{2}{3} < t < 1$
If $t = \begin{pmatrix} 200 \\ 100 \end{pmatrix}/4^{100} $, then$t < \frac{1}{3}$$\frac{1}{3} < t < \frac{1}{2}$$\frac{1}{2} < t < \frac{2}{3}$$\frac{2}{3} < t < 1$
Sayan Bose
1.6k
views
Sayan Bose
asked
May 7, 2019
Quantitative Aptitude
isi2019-mma
general-aptitude
quantitative-aptitude
+
–
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)$$f(n^3-1) =...
Sayan Bose
1.9k
views
Sayan Bose
asked
May 6, 2019
Quantitative Aptitude
isi2019-mma
general-aptitude
quantitative-aptitude
+
–
0
votes
3
answers
106
ISI2019-MMA-11
How many triplets of real numbers $(x,y,z)$ are simultaneous solutions of the equations $x+y=2$ and $xy-z^2=1$? $0$ $1$ $2$ infinitely many
How many triplets of real numbers $(x,y,z)$ are simultaneous solutions of the equations $x+y=2$ and $xy-z^2=1$?$0$$1$$2$infinitely many
Sayan Bose
1.7k
views
Sayan Bose
asked
May 6, 2019
Quantitative Aptitude
isi2019-mma
general-aptitude
quantitative-aptitude
+
–
2
votes
1
answer
107
ISI2019-MMA-3
The sum of all $3$ digit numbers that leave a remainder of $2$ when divided by $3$ is: $189700$ $164850$ $164750$ $149700$
The sum of all $3$ digit numbers that leave a remainder of $2$ when divided by $3$ is:$189700$$164850$$164750$$149700$
Sayan Bose
955
views
Sayan Bose
asked
May 5, 2019
Quantitative Aptitude
isi2019-mma
general-aptitude
quantitative-aptitude
+
–
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$
Sayan Bose
3.6k
views
Sayan Bose
asked
May 5, 2019
Quantitative Aptitude
isi2019-mma
general-aptitude
quantitative-aptitude
+
–
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
manikgupta123
1.1k
views
manikgupta123
asked
Apr 28, 2019
Quantitative Aptitude
iiith-pgee
general-aptitude
+
–
0
votes
1
answer
110
Made Easy Test Series : Aptitude
Seetal wants to sell her bicycle, either a profit of $K$% or a loss of $K$%. What is value of $K?$ Statement $1:$ Difference between the amount Seetal gets in the $2$ cases is $Rs 2560$ Statement $2:$ If Seetal profit is $Rs. K$ her profit percentage is $7.5$%
Seetal wants to sell her bicycle, either a profit of $K$% or a loss of $K$%. What is value of $K?$Statement $1:$ Difference between the amount Seetal gets in the $2$ case...
srestha
444
views
srestha
asked
Apr 18, 2019
Quantitative Aptitude
made-easy-test-series
general-aptitude
quantitative-aptitude
+
–
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?
srestha
573
views
srestha
asked
Mar 29, 2019
Verbal Aptitude
general-aptitude
+
–
0
votes
0
answers
112
Allen Career Institute:Aptitude
The vast majority of south Korean youngster's graduate from high school and of these, 82% go on to university. This is the highest rate in the OECD and for a country which had an adult literacy rate of just 22% in 1945, it ... in both the years compared were almost same (4) The proportion of unemployed in recent times has increased exponentially compared to 1945
The vast majority of south Korean youngster's graduate from high school and of these, 82% go on to university. This is the highest rate in the OECD and for a country whic...
srestha
392
views
srestha
asked
Mar 22, 2019
Verbal Aptitude
general-aptitude
+
–
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 ( ...
srestha
305
views
srestha
asked
Mar 22, 2019
Quantitative Aptitude
general-aptitude
+
–
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
Arjun
2.3k
views
Arjun
asked
Feb 14, 2019
Verbal Aptitude
gate2019-ce-1
general-aptitude
verbal-aptitude
english-grammar
+
–
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
Arjun
1.8k
views
Arjun
asked
Feb 14, 2019
Verbal Aptitude
gate2019-ce-1
general-aptitude
verbal-aptitude
english-grammar
easy
+
–
4
votes
1
answer
116
GATE2019 CE-1: GA-3
On a horizontal ground, the base of a straight ladder is $6$ m away from the base of a vertical pole. The ladder makes an angle of $45^{\circ}$ to the horizontal. If the ladder is resting at a point located at one-fifth of the height of the pole from the bottom, the height of the pole is ______ meters. $15$ $25$ $30$ $35$
On a horizontal ground, the base of a straight ladder is $6$ m away from the base of a vertical pole. The ladder makes an angle of $45^{\circ}$ to the horizontal. If the ...
Arjun
1.3k
views
Arjun
asked
Feb 14, 2019
Quantitative Aptitude
gate2019-ce-1
general-aptitude
quantitative-aptitude
geometry
+
–
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
Arjun
1.5k
views
Arjun
asked
Feb 14, 2019
Verbal Aptitude
gate2019-ce-1
general-aptitude
verbal-aptitude
english-grammar
+
–
5
votes
4
answers
118
GATE2019 CE-1: GA-6
The new cotton technology, Bollgard_II, with herbicide-tolerant traits has developed into a thriving business in India. However, the commercial use of this technology is not legal in India. Notwithstanding that, reports indicate that the herbicide ... want to access the new technology for experimental purposes Farmers want to access the new technology by paying high price
The new cotton technology, Bollgard_II, with herbicide-tolerant traits has developed into a thriving business in India. However, the commercial use of this technology is ...
Arjun
1.4k
views
Arjun
asked
Feb 14, 2019
Verbal Aptitude
gate2019-ce-1
general-aptitude
verbal-aptitude
passage-reading
+
–
8
votes
2
answers
119
GATE2019 CE-1: GA-7
In a sports academy of $300$ peoples, $105$ play only cricket, $70$ play only hockey, $50$ play only football, $25$ play both cricket and hockey, $15$ play both hockey and football and $30$ play both cricket and football. The rest of them play all three sports. What is the percentage of people who play at least two sports? $23.30$ $25.00$ $28.00$ $50.00$
In a sports academy of $300$ peoples, $105$ play only cricket, $70$ play only hockey, $50$ play only football, $25$ play both cricket and hockey, $15$ play both hockey an...
Arjun
3.3k
views
Arjun
asked
Feb 14, 2019
Quantitative Aptitude
gate2019-ce-1
general-aptitude
quantitative-aptitude
venn-diagram
easy
+
–
4
votes
1
answer
120
GATE2019 CE-1: GA-10
$P, Q, R, S,$ and $T$ are related and belong to the same family. $P$ is the brother of $S, Q$ is the wife of $P$. $R$ and $T$ are the children of the siblings $P$ and $S$ respectively. Which one of the following statement is necessarily FALSE? $S$ is the aunt of $R$ $S$ is the aunt of $T$ $S$ is the sister-in-law of $Q$ $S$ is the brother of $P$
$P, Q, R, S,$ and $T$ are related and belong to the same family. $P$ is the brother of $S, Q$ is the wife of $P$. $R$ and $T$ are the children of the siblings $P$ and $S$...
Arjun
2.1k
views
Arjun
asked
Feb 14, 2019
Analytical Aptitude
gate2019-ce-1
general-aptitude
logical-reasoning
family-relationship
+
–
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