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Recent questions tagged quantitative-aptitude
1
vote
1
answer
151
TIFR CSE 2020 | Part B | Question: 5
Let $u$ be a point on the unit circle in the first quadrant (i.e., both coordinates of $u$ are positive). Let $\theta$ be the angle subtended by $u$ and the $x$ axis at the origin. Let $\ell _{u}$ denote the infinite line passing through the origin and $u$. ... and the $x$-axis at the origin? $50^{\circ}$ $85^{\circ}$ $90^{\circ}$ $145^{\circ}$ $165^{\circ}$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 11, 2020
by
Lakshman Patel RJIT
302
views
tifr2020
quantitative-aptitude
cartesian-coordinates
3
votes
2
answers
152
TIFR CSE 2020 | Part A | Question: 15
The sequence $s_{0},s_{1},\dots , s_{9}$ is defined as follows: $s_{0} = s_{1} + 1$ $2s_{i} = s_{i-1} + s_{i+1} + 2 \text{ for } 1 \leq i \leq 8$ $2s_{9} = s_{8} + 2$ What is $s_{0}$? $81$ $95$ $100$ $121$ $190$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 11, 2020
by
Lakshman Patel RJIT
575
views
tifr2020
quantitative-aptitude
number-theory
1
vote
1
answer
153
TIFR CSE 2020 | Part A | Question: 14
A ball is thrown directly upwards from the ground at a speed of $10\: ms^{-1}$, on a planet where the gravitational acceleration is $10\: ms^{-2}$. Consider the following statements: The ball reaches the ground exactly $2$ seconds after it is thrown ... $1,2$ or $3$ is correct All of the Statements $1,2$ and $3$ are correct
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 11, 2020
by
Lakshman Patel RJIT
410
views
tifr2020
quantitative-aptitude
speed-time-distance
1
vote
1
answer
154
TIFR CSE 2020 | Part A | Question: 13
What is the area of the largest rectangle that can be inscribed in a circle of radius $R$? $R^{2}/2$ $\pi \times R^{2}/2$ $R^{2}$ $2R^{2}$ None of the above
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 11, 2020
by
Lakshman Patel RJIT
353
views
tifr2020
quantitative-aptitude
geometry
circle
0
votes
1
answer
155
TIFR CSE 2020 | Part A | Question: 12
The hour needle of a clock is malfunctioning and travels in the anti-clockwise direction, i.e., opposite to the usual direction, at the same speed it would have if it was working correctly. The minute needle is working correctly. Suppose the two needles show the correct ... $\dfrac{11}{12}$ hour $\dfrac{12}{13}$ hour $\dfrac{19}{22}$ hour One hour
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 11, 2020
by
Lakshman Patel RJIT
415
views
tifr2020
quantitative-aptitude
clock-time
3
votes
2
answers
156
TIFR CSE 2020 | Part A | Question: 9
A contiguous part, i.e., a set of adjacent sheets, is missing from Tharoor's GRE preparation book. The number on the first missing page is $183$, and it is known that the number on the last missing page has the same three digits, but in a different ... the front and one at the back. How many pages are missing from Tharoor's book? $45$ $135$ $136$ $198$ $450$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 11, 2020
by
Lakshman Patel RJIT
648
views
tifr2020
quantitative-aptitude
number-theory
2
votes
1
answer
157
TIFR CSE 2020 | Part A | Question: 6
What is the maximum number of regions that the plane $\mathbb{R}^{2}$ can be partitioned into using $10$ lines? $25$ $50$ $55$ $56$ $1024$ Hint: Let $A(n)$ be the maximum number of partitions that can be made by $n$ lines. Observe that $A(0) = 1, A(2) = 2, A(2) = 4$ etc. Come up with a recurrence equation for $A(n)$.
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 10, 2020
by
Lakshman Patel RJIT
571
views
tifr2020
general-aptitude
quantitative-aptitude
number-theory
5
votes
5
answers
158
ISRO2020-55
If $x+2y=30$, then $\left(\dfrac{2y}{5}+\dfrac{x}{3} \right) + \left (\dfrac{x}{5}+\dfrac{2y}{3} \right)$ will be equal to $8$ $16$ $18$ $20$
Satbir
asked
in
Quantitative Aptitude
Jan 13, 2020
by
Satbir
1.6k
views
isro-2020
quantitative-aptitude
easy
5
votes
3
answers
159
ISI2014-DCG-10
The number of divisors of $6000$, where $1$ and $6000$ are also considered as divisors of $6000$ is $40$ $50$ $60$ $30$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
713
views
isi2014-dcg
quantitative-aptitude
number-system
factors
2
votes
2
answers
160
ISI2014-DCG-16
The sum of the series $\dfrac{1}{1.2} + \dfrac{1}{2.3}+ \cdots + \dfrac{1}{n(n+1)} + \cdots $ is $1$ $1/2$ $0$ non-existent
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
391
views
isi2014-dcg
quantitative-aptitude
summation
2
votes
2
answers
161
ISI2014-DCG-22
The conditions on $a$, $b$ and $c$ under which the roots of the quadratic equation $ax^2+bx+c=0 \: ,a \neq 0, \: b \neq 0 $ and $c \neq 0$, are unequal magnitude but of the opposite signs, are the following: $a$ and $c$ have the same sign while $b$ has the ... $c$ has the opposite sign. $a$ and $c$ have the same sign. $a$, $b$ and $c$ have the same sign.
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
316
views
isi2014-dcg
quantitative-aptitude
quadratic-equations
3
votes
2
answers
162
ISI2014-DCG-23
The sum of the series $\:3+11+\dots +(8n-5)\:$ is $4n^2-n$ $8n^2+3n$ $4n^2+4n-5$ $4n^2+2$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
361
views
isi2014-dcg
quantitative-aptitude
arithmetic-series
2
votes
1
answer
163
ISI2014-DCG-26
Let $x_1 > x_2>0$. Then which of the following is true? $\log \big(\frac{x_1+x_2}{2}\big) > \frac{\log x_1+ \log x_2}{2}$ $\log \big(\frac{x_1+x_2}{2}\big) < \frac{\log x_1+ \log x_2}{2}$ There exist $x_1$ and $x_2$ such that $x_1 > x_2 >0$ and $\log \big(\frac{x_1+x_2}{2}\big) = \frac{\log x_1+ \log x_2}{2}$ None of these
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
275
views
isi2014-dcg
quantitative-aptitude
logarithms
2
votes
1
answer
164
ISI2014-DCG-30
Consider the equation $P(x) =x^3+px^2+qx+r=0$ where $p,q$ and $r$ are all real and positive. State which of the following statements is always correct. All roots of $P(x) = 0$ are real The equation $P(x)=0$ has at least one real root The equation $P(x)=0$ has no negative real root The equation $P(x)=0$ must have one positive and one negative real root
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
267
views
isi2014-dcg
quantitative-aptitude
quadratic-equations
roots
2
votes
1
answer
165
ISI2014-DCG-36
Consider any integer $I=m^2+n^2$, where $m$ and $n$ are odd integers. Then $I$ is never divisible by $2$ $I$ is never divisible by $4$ $I$ is never divisible by $6$ None of the above
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
284
views
isi2014-dcg
quantitative-aptitude
number-system
remainder-theorem
1
vote
1
answer
166
ISI2014-DCG-54
The number of real roots of the equation $1+\cos ^2x+\cos ^3 x – \cos^4x=5$ is equal to $0$ $1$ $3$ $4$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
357
views
isi2014-dcg
quantitative-aptitude
trigonometry
roots
0
votes
1
answer
167
ISI2014-DCG-55
If $a,b,c$ are sides of a triangle $ABC$ such that $x^2-2(a+b+c)x+3 \lambda (ab+bc+ca)=0$ has real roots then $\lambda < \frac{4}{3}$ $\lambda > \frac{5}{3}$ $\lambda \in \big( \frac{4}{3}, \frac{5}{3}\big)$ $\lambda \in \big( \frac{1}{3}, \frac{5}{3}\big)$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
236
views
isi2014-dcg
quantitative-aptitude
geometry
quadratic-equations
1
vote
1
answer
168
ISI2014-DCG-56
Two opposite vertices of a rectangle are $(1,3)$ and $(5,1)$ while the other two vertices lie on the straight line $y=2x+c$. Then the value of $c$ is $4$ $3$ $-4$ $-3$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
261
views
isi2014-dcg
quantitative-aptitude
geometry
rectangles
lines
2
votes
1
answer
169
ISI2014-DCG-58
Consider a circle with centre at origin and radius $2\sqrt{2}$. A square is inscribed in the circle whose sides are parallel to the $X$ an $Y$ axes. The coordinates of one of the vertices of this square are $(2, -2)$ $(2\sqrt{2},-2)$ $(-2, 2\sqrt{2})$ $(2\sqrt{2}, -2\sqrt{2})$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
352
views
isi2014-dcg
quantitative-aptitude
geometry
circle
squares
1
vote
1
answer
170
ISI2014-DCG-60
The equation of any circle passing through the origin and with its centre on the $X$-axis is given by $x^2+y^2-2ax=0$ where $a$ must be positive $x^2+y^2-2ax=0$ for any given $a \in \mathbb{R}$ $x^2+y^2-2by=0$ where $b$ must be positive $x^2+y^2-2by=0$ for any given $b \in \mathbb{R}$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
281
views
isi2014-dcg
quantitative-aptitude
geometry
circle
1
vote
2
answers
171
ISI2014-DCG-61
If $l=1+a+a^2+ \dots$, $m=1+b+b^2+ \dots$, and $n=1+c+c^2+ \dots$, where $\mid a \mid <1, \: \mid b \mid < 1, \: \mid c \mid <1$ and $a,b,c$ are in arithmetic progression, then $l, m, n$ are in arithmetic progression geometric progression harmonic progression none of these
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
337
views
isi2014-dcg
quantitative-aptitude
arithmetic-series
0
votes
1
answer
172
ISI2014-DCG-62
If the sum of the first $n$ terms of an arithmetic progression is $cn^2$, then the sum of squares of these $n$ terms is $\frac{n(4n^2-1)c^2}{6}$ $\frac{n(4n^2+1)c^2}{3}$ $\frac{n(4n^2-1)c^2}{3}$ $\frac{n(4n^2+1)c^2}{6}$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
252
views
isi2014-dcg
quantitative-aptitude
arithmetic-series
1
vote
0
answers
173
ISI2014-DCG-65
The sum $\dfrac{n}{n^2}+\dfrac{n}{n^2+1^2}+\dfrac{n}{n^2+2^2}+ \cdots + \dfrac{n}{n^2+(n-1)^2} + \cdots \cdots$ is $\frac{\pi}{4}$ $\frac{\pi}{8}$ $\frac{\pi}{6}$ $2 \pi$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
303
views
isi2014-dcg
quantitative-aptitude
summation
non-gate
0
votes
1
answer
174
ISI2014-DCG-67
Let $y=[\:\log_{10}3245.7\:]$ where $[ a ]$ denotes the greatest integer less than or equal to $a$. Then $y=0$ $y=1$ $y=2$ $y=3$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
249
views
isi2014-dcg
quantitative-aptitude
logarithms
1
vote
2
answers
175
ISI2014-DCG-68
The number of integer solutions for the equation $x^2+y^2=2011$ is $0$ $1$ $2$ $3$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
298
views
isi2014-dcg
quantitative-aptitude
integer-solutions
3
votes
2
answers
176
ISI2014-DCG-69
The number of ways in which the number $1440$ can be expressed as a product of two factors is equal to $18$ $720$ $360$ $36$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
419
views
isi2014-dcg
quantitative-aptitude
number-system
factors
1
vote
2
answers
177
ISI2015-MMA-2
If $a,b$ are positive real variables whose sum is a constant $\lambda$, then the minimum value of $\sqrt{(1+1/a)(1+1/b)}$ is $\lambda \: – 1/\lambda$ $\lambda + 2/\lambda$ $\lambda+1/\lambda$ None of the above
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
1.0k
views
isi2015-mma
quantitative-aptitude
number-system
minimum-value
non-gate
2
votes
2
answers
178
ISI2015-MMA-11
The number of positive integers which are less than or equal to $1000$ and are divisible by none of $17$, $19$ and $23$ equals $854$ $153$ $160$ none of the above
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
780
views
isi2015-mma
quantitative-aptitude
number-system
remainder-theorem
1
vote
1
answer
179
ISI2015-MMA-12
Consider the polynomial $x^5+ax^4+bx^3+cx^2+dx+4$ where $a,b,c,d$ are real numbers. If $(1+2i)$ and $(3-2i)$ are two two roots of this polynomial then the value of $a$ is $-524/65$ $524/65$ $-1/65$ $1/65$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
476
views
isi2015-mma
quantitative-aptitude
number-system
polynomial
roots
non-gate
1
vote
2
answers
180
ISI2015-MMA-13
The number of real roots of the equation $2 \cos \left( \frac{x^2+x}{6} \right) = 2^x +2^{-x} \text{ is }$ $0$ $1$ $2$ infinitely many
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
527
views
isi2015-mma
quantitative-aptitude
quadratic-equations
trigonometry
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