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1
ISI2014DCG65
The sum $\dfrac{n}{n^2}+\dfrac{n}{n^2+1^2}+\dfrac{n}{n^2+2^2}+ \cdots + \dfrac{n}{n^2+(n1)^2} + \cdots \cdots$ is $\frac{\pi}{4}$ $\frac{\pi}{8}$ $\frac{\pi}{6}$ $2 \pi$
asked
Sep 23, 2019
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Numerical Ability
by
Arjun
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isi2014dcg
numericalability
summation
nongate
0
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0
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2
ISI2015MMA27
Let $\cos ^6 \theta = a_6 \cos 6 \theta + a_5 \cos 5 \theta + a_4 \cos 4 \theta + a_3 \cos 3 \theta + a_2 \cos 2 \theta + a_1 \cos \theta +a_0$. Then $a_0$ is $0$ $1/32$ $15/32$ $10/32$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
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431k
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21
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isi2015mma
numericalability
trigonometry
nongate
0
votes
0
answers
3
ISI2015MMA29
The set $\{x \: : \begin{vmatrix} x+\frac{1}{x} \end{vmatrix} \gt6 \}$ equals the set $(0,32\sqrt{2}) \cup (3+2\sqrt{2}, \infty)$ $( \infty, 32\sqrt{2}) \cup (3+2 \sqrt{2}, \infty)$ $( \infty, 32\sqrt{2}) \cup (3+2\sqrt{2}, \infty)$ $( \infty, 32\sqrt{2}) \cup (3+2 \sqrt{2},32\sqrt{2}) \cup (3+2 \sqrt{2}, \infty )$
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Sep 23, 2019
in
Numerical Ability
by
Arjun
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431k
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isi2015mma
numbersystem
nongate
0
votes
0
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4
ISI2015DCG40
The equations $x=a \cos \theta + b \sin \theta$ and $y=a \sin \theta + b \cos \theta$, $( 0 \leq \theta \leq 2 \pi$ and $a,b$ are arbitrary constants) represent a circle a parabola an ellipse a hyperbola
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
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isi2015dcg
numericalability
trigonometry
geometry
0
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0
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5
ISI2015DCG53
Four squares of sides $x$ cm each are cut off from the four corners of a square metal sheet having side $100$ cm. The residual sheet is then folded into an open box which is then filled with a liquid costing Rs. $x^2$ with $cm^3$. The value of $x$ for which the cost of filling the box completely with the liquid is maximized, is $100$ $50$ $30$ $10$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
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isi2015dcg
numericalability
geometry
squares
0
votes
0
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6
ISI2015DCG60
Which of the following relations is true for the following figure? $b^2 = c(c+a)$ $c^2 = a(a+b)$ $a^2=b(b+c)$ All of these
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Sep 18, 2019
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Numerical Ability
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gatecse
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19
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isi2015dcg
numericalability
geometry
triangles
0
votes
0
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7
ISI2015DCG62
The number of values of $x$ for which the equation $\cos x = \sqrt{\sin x} – \dfrac{1}{\sqrt{\sin x}}$ is satisfied, is $1$ $2$ $3$ more than $3$
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Sep 18, 2019
in
Numerical Ability
by
gatecse
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17.5k
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18
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isi2015dcg
numericalability
trigonometry
0
votes
0
answers
8
ISI2016DCG13
For all the natural number $n\geq 3,\: n^{2}+1$ is divisible by $3$ not divisible by $3$ divisible by $9$ None of these
asked
Sep 18, 2019
in
Numerical Ability
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gatecse
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12
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isi2016dcg
numericalability
numbersystem
remaindertheorem
0
votes
0
answers
9
ISI2016DCG18
The value of $(1.1)^{10}$ correct to $4$ decimal places is $2.4512$ $1.9547$ $2.5937$ $1.4512$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
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17.5k
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12
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isi2016dcg
numericalability
numbersystem
+1
vote
0
answers
10
ISI2016DCG29
The condition that ensures that the roots of the equation $x^{3}px^{2}+qxr=0$ are in H.P. is $r^{2}9pqr+q^{3}=0$ $27r^{2}9pqr+3q^{3}=0$ $3r^{3}27pqr9q^{3}=0$ $27r^{2}9pqr+2q^{3}=0$
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Sep 18, 2019
in
Numerical Ability
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gatecse
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16
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isi2016dcg
numericalability
quadraticequations
roots
0
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0
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11
ISI2016DCG51
Four squares of sides $x\: cm$ each are cut off from the four corners of a square metal sheet having side $10\: cm.$ The residual sheet is then folded into an open box which is then filled with a liquid costing Rs. $x^{2}$ per $cm^{3}.$ The value of $x$ for which the cost of filling the box completely with the liquid is maximized, is $100$ $50$ $30$ $10$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
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17.5k
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13
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isi2016dcg
numericalability
geometry
0
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0
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12
ISI2016DCG70
Water pours into a rectangular tank of $20\:metres$ depth which was initially halffilled. The rate at which the height of the water rises is inversely proportional to the height of the water at that instant. If the height of the water after an hour is observed to be $12\:metres$, ... hours, will be required to fill up the tank? $\frac{75}{11}$ $\frac{125}{11}$ $\frac{25}{3}$ $5$
asked
Sep 18, 2019
in
Numerical Ability
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gatecse
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isi2016dcg
numericalability
worktime
0
votes
0
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13
ISI2017DCG13
The value of $\dfrac{x}{1x^2} + \dfrac{x^2}{1x^4} + \dfrac{x^4}{1x^8} + \dfrac{x^8}{1x^{16}}$ is $\frac{1}{1x^{16}}$ $\frac{1}{1x^{12}}$ $\frac{1}{1x} – \frac{1}{1x^{16}}$ $\frac{1}{1x} – \frac{1}{1x^{12}}$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
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17.5k
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18
views
isi2017dcg
numericalability
summation
0
votes
0
answers
14
ISI2017DCG18
If $a,b,c$ are the sides of $\Delta ABC$, then $\tan \frac{BC}{2} \tan \frac{A}{2}$ is equal to $\frac{b+c}{bc}$ $\frac{bc}{b+c}$ $\frac{cb}{c+b}$ none of these
asked
Sep 18, 2019
in
Numerical Ability
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gatecse
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17.5k
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14
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isi2017dcg
numericalability
trigonometry
geometry
0
votes
0
answers
15
ISI2017DCG19
The angle between the tangents drawn from the point $(1, 7)$ to the circle $x^2+y^2=25$ is $\tan^{1} (\frac{1}{2})$ $\tan^{1} (\frac{2}{3})$ $\frac{\pi}{2}$ $\frac{\pi}{3}$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
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17.5k
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12
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isi2017dcg
numericalability
geometry
circle
trigonometry
+1
vote
0
answers
16
ISI2018DCG11
The sum of $99^{th}$ power of all the roots of $x^71=0$ is equal to $1$ $2$ $1$ $0$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
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25
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isi2018dcg
numericalability
polynomials
roots
0
votes
0
answers
17
ISI2018DCG19
The area of the region formed by line segments joining the points of intersection of the circle $x^2+y^210x6y+9=0$ with the two axes in succession in a definite order (clockwise or anticlockwise) is $16$ $9$ $3$ $12$
asked
Sep 18, 2019
in
Numerical Ability
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gatecse
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17.5k
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15
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isi2018dcg
circle
intersection
nongate
+1
vote
0
answers
18
Aptitude Self Doubt
If altitude of equilateral triangle is given, then what is formula to find area of it??
asked
Jun 2, 2019
in
Numerical Ability
by
srestha
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119k
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91
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numericalability
0
votes
0
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19
TrigonometryDoubt
$1)$What is the value of $\sin 15^{o}$ $\sin 15^{o}=\sin \left ( 60^{o}45^{o} \right )$ $=\sin 60^{o}.\cos 45^{o}\cos 60^{o}.\sin 45^{o}$ ... $=\frac{\sqrt{3}1}{2\sqrt{2}}=0.258$ Is it correct? $2)$ $\sin 80^{o}$ value=_____________ Is it possible to do?
asked
May 28, 2019
in
Numerical Ability
by
srestha
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(
119k
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63
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generalaptitude
0
votes
0
answers
20
Aptitude(Recruitment Ques)
The value of $\sin 120^{o}+\sin 780^{o}\cos 360^{o}$ $=(\sin (90^{o}\times 2)60^{o})+\left ( \sin \left ( 90^{o}\times 8 \right )+60^{o} \right )\left ( \cos (90^{o}\times 4)+0^{o} \right )$ $=\frac{\sqrt{3}}{2}+\frac{\sqrt{3}}{2}1=0.73$ right??
asked
May 28, 2019
in
Numerical Ability
by
srestha
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(
119k
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51
views
generalaptitude
+1
vote
0
answers
21
ISI2018PCBA3
Let $n,r\ $and$\ s$ be positive integers, each greater than $2$.Prove that $n^r1$ divides $n^s1$ if and only if $r$ divides $s$.
asked
May 12, 2019
in
Numerical Ability
by
akash.dinkar12
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(
42.5k
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28
views
isi2018pcba
generalaptitude
numericalability
descriptive
0
votes
0
answers
22
ISI2018PCBA2
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.
asked
May 12, 2019
in
Numerical Ability
by
akash.dinkar12
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42.5k
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26
views
isi2018pcba
generalaptitude
numericalability
logicalreasoning
descriptive
0
votes
0
answers
23
ISI2018MMA22
The $x$axis divides the circle $x^2 + y^2 − 6x − 4y + 5 = 0$ into two parts. The area of the smaller part is $2\pi1$ $2(\pi1)$ $2\pi3$ $2(\pi2)$
asked
May 11, 2019
in
Numerical Ability
by
akash.dinkar12
Boss
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42.5k
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25
views
isi2018mma
generalaptitude
numericalability
0
votes
0
answers
24
ISI2018MMA21
The angle between the tangents drawn from the point $(1, 4)$ to the parabola $y^2 = 4x$ is $\pi /2$ $\pi /3$ $\pi /4$ $\pi /6$
asked
May 11, 2019
in
Numerical Ability
by
akash.dinkar12
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42.5k
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20
views
isi2018mma
generalaptitude
numericalability
0
votes
0
answers
25
ISI2018MMA8
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 $\text{gcd}(r_1,r_2)$ $\text{gcd}(k_1,k_2)$ $\text{gcd}(k_1,r_2)$ $\text{gcd}(r_1,k_2)$
asked
May 11, 2019
in
Numerical Ability
by
akash.dinkar12
Boss
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42.5k
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27
views
isi2018mma
generalaptitude
numericalability
0
votes
0
answers
26
ISI2018MMA5
One needs to choose six real numbers $x_1, x_2, . . . , x_6$ such that the product of any five of them is equal to other number. The number of such choices is $3$ $33$ $63$ $93$
asked
May 11, 2019
in
Numerical Ability
by
akash.dinkar12
Boss
(
42.5k
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26
views
isi2018mma
generalaptitude
numericalability
0
votes
0
answers
27
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 is ... in both the years compared were almost same (4) The proportion of unemployed in recent times has increased exponentially compared to 1945
asked
Mar 22, 2019
in
Verbal Ability
by
srestha
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119k
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81
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generalaptitude
0
votes
0
answers
28
Made easy Test series
Rajesh traveled from home to school at 30 miles per hour. Then he returned home at 40 miles per hour, and he finally went back to school at 60 miles per hour, all along the same route. What was his average speed for the entire trip,in miles per hour?
asked
Mar 22, 2019
in
Numerical Ability
by
Dipanshu Rana
(
363
points)

36
views
0
votes
0
answers
29
Permutation
Find the no. of permutations of the letters of the word ‘REMAINS’ such that the vowels always occur in odd places?
asked
Mar 22, 2019
in
Numerical Ability
by
Dipanshu Rana
(
363
points)

37
views
0
votes
0
answers
30
LIC AAO
$P,Q,R,S,T,V,$ and $W$ are seven members of a family each one of them has a different profession. Doctor, Teacher, Lawyer, Engineer, Architect and Banker and their incomes are different. There are two married couples in the group. $R$ is the Doctor and ... Lawyer. The charted Accountant earns less than Lawyer but more than the Banker. Who earns the maximum in the family ? V W R S None
asked
Mar 3, 2019
in
Verbal Ability
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himgta
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3.7k
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171
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