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Recent questions and answers in Numerical Ability

4 votes
2 answers
1
Hema's age is $5$ years more than twice Hari's age. Suresh's age is $13$ years less than 10 times Hari's age. If Suresh is $3$ times as old as Hema, how old is Hema? $14$ $17$ $18$ $19$
answered Jul 25 in Numerical Ability Pooja Khatri 359 views
18 votes
5 answers
2
A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses $7$ trucks, then at the end of the $4^{th}$ day he can clear all the orders. Alternatively, if he uses only $3$ trucks, then all the orders are ... minimum number of trucks required so that there will be no pending order at the end of $5^{th}$ day? $4$ $5$ $6$ $7$
answered Jul 24 in Numerical Ability MRINMOY_HALDER 4.1k views
0 votes
2 answers
3
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 $4$
answered Jul 12 in Numerical Ability rishabhjain18 173 views
1 vote
3 answers
4
Let $x$ be a positive real number. Then $x^2+\pi ^2 + x^{2 \pi} > x \pi+ (\pi + x) x^{\pi}$ $x^{\pi}+\pi^x > x^{2 \pi} + \pi ^{2x}$ $\pi x +(\pi+x)x^{\pi} > x^2+\pi ^2 + x^{2 \pi}$ none of the above
answered Jul 9 in Numerical Ability EuclideanSpace 230 views
0 votes
1 answer
5
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 $\text{gcd}(r_1,r_2)$ $\text{gcd}(k_1,k_2)$ $\text{gcd}(k_1,r_2)$ $\text{gcd}(r_1,k_2)$
answered Jun 22 in Numerical Ability Ambuj Mishra 151 views
10 votes
6 answers
6
What would be the smallest natural number which when divided either by $20$ or by $42$ or by $76$ leaves a remainder of $7$ in each case? $3047$ $6047$ $7987$ $63847$
answered Jun 19 in Numerical Ability Kushagra गुप्ता 2.1k views
9 votes
3 answers
7
A tourist covers half of his journey by train at $60$ $km/h$, half of the remainder by bus at $30$ $km/h$ and the rest by cycle at $10$ $km/h$. The average speed of the tourist in $km/h$ during his entire journey is $36$ $30$ $24$ $18$
answered Jun 19 in Numerical Ability subbus 2.2k views
2 votes
3 answers
8
Velocity of an object fired directly in upward direction is given by ܸ$V\mathit{}=80-32 t\mathit{}$, where $t\mathit{}$ (time) is in seconds. When will the velocity be between $32 \;m/sec$ and $64 \;m/sec$? $\left(1, \dfrac{3}{2}\right)$ $\left(\dfrac{1}{2}, 1\right)$ $\left(\dfrac{1}{2},\dfrac{3}{2}\right)$ $\left(1, 3\right)$
answered Jun 19 in Numerical Ability subbus 879 views
4 votes
6 answers
9
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 $8$ $16$ $18$ $20$
answered Jun 17 in Numerical Ability Harshitkmr 623 views
10 votes
3 answers
10
A student attempted to solve a quadratic equation in $x$ twice. However, in the first attempt, he incorrectly wrote the constant term and ended up with the roots as $(4, 3)$. In the second attempt, he incorrectly wrote down the coefficient of $x$ and got the roots as $(3, 2)$. Based on the above information, the roots of the correct quadratic equation are $(-3, 4)$ $(3, -4)$ $(6, 1)$ $(4, 2)$
answered Jun 15 in Numerical Ability Kushagra गुप्ता 432 views
2 votes
2 answers
12
Given the sequence $A,B,B,C,C,C,D,D,D,D,\ldots$ etc$.,$ that is one $A,$ two $B’s,$ three $C’s,$ four $D’s,$ five $E’s$ and so on, the $240^{th}$ latter in the sequence will be $:$ $V$ $U$ $T$ $W$
answered Jun 15 in Numerical Ability Kushagra गुप्ता 169 views
3 votes
8 answers
13
There are two candidates $P$ and $Q$ in an election. During the campaign, $40\%$ of the voters promised to vote for $P,$ and rest for $Q.$ However, on the day of election $15\%$ of the voters went back on their promise to vote for $P$ and instead voted for $Q.$ $25\%$ ... $P.$ Suppose$,P$ lost by $2$ votes$,$ then what was the total number of voters? $100$ $110$ $90$ $95$
answered Jun 14 in Numerical Ability Kushagra गुप्ता 828 views
4 votes
2 answers
14
Two design consultants, $P$ and $Q,$ started working from $8$ AM for a client. The client budgeted a total of USD $3000$ for the consultants. $P$ stopped working when the hour hand moved by $210$ degrees on the clock. $Q$ stopped working when the hour hand moved ... paid. After paying the consultants, the client shall have USD _______ remaining in the budget. $000.00$ $166.67$ $300.00$ $433.33$
answered Jun 12 in Numerical Ability Kushagra गुप्ता 581 views
7 votes
2 answers
15
A faulty wall clock is known to gain $15$ minutes every $24$ hours. It is synchronized to the correct time at $9$ AM on $11$th July. What will be the correct time to the nearest minute when the clock shows $2$ PM on $15$th July of the same year? $12:45$ PM $12:58$ PM $1:00$ PM $2:00$ PM
answered Jun 12 in Numerical Ability Kushagra गुप्ता 455 views
16 votes
7 answers
16
At what time between $6$ a. m. and $7$ a. m. will the minute hand and hour hand of a clock make an angle closest to $60°$? $6: 22$ a.m. $6: 27$ a.m. $6: 38$ a.m. $6: 45$ a.m.
answered Jun 12 in Numerical Ability Kushagra गुप्ता 3.8k views
0 votes
4 answers
17
0 votes
2 answers
18
When the sum of all possible two digit numbers formed from three different one digit natural numbers are divided by sum of the original three numbers, the result is $26$ $24$ $20$ $22$
asked Mar 30 in Numerical Ability Lakshman Patel RJIT 81 views
3 votes
4 answers
19
Two straight lines are drawn perpendicular to each other in $X-Y$ plane. If $\alpha$ and $\beta$ are the acute angles the straight lines make with the $\text{X-}$ axis, then $\alpha + \beta$ is_______. $60^{\circ}$ $90^{\circ}$ $120^{\circ}$ $180^{\circ}$
asked Feb 12 in Numerical Ability Arjun 1.5k views
0 votes
2 answers
20
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 $s_{0}$? $81$ $95$ $100$ $121$ $190$
asked Feb 11 in Numerical Ability Lakshman Patel RJIT 144 views
0 votes
1 answer
21
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 up The ball travels a ... Statement $3$ is correct None of the Statements $1,2$ or $3$ is correct All of the Statements $1,2$ and $3$ are correct
asked Feb 11 in Numerical Ability Lakshman Patel RJIT 98 views
0 votes
1 answer
22
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 $A(n)$.
asked Feb 10 in Numerical Ability Lakshman Patel RJIT 68 views
4 votes
3 answers
23
The number of divisors of $6000$, where $1$ and $6000$ are also considered as divisors of $6000$ is $40$ $50$ $60$ $30$
asked Sep 23, 2019 in Numerical Ability Arjun 321 views
1 vote
1 answer
24
Let $x_1$ and $x_2$ be the roots of the quadratic equation $x^2-3x+a=0$, and $x_3$ and $x_4$ be the roots of the quadratic equation $x^2-12x+b=0$. If $x_1, x_2, x_3$ and $x_4 \: (0 < x_1 < x_2 < x_3 < x_4)$ are in $G.P.,$ then $ab$ equals $64$ $5184$ $-64$ $-5184$
asked Sep 23, 2019 in Numerical Ability Arjun 127 views
1 vote
2 answers
25
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
asked Sep 23, 2019 in Numerical Ability Arjun 179 views
1 vote
2 answers
26
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 opposite sign ... $b$ have the same sign while $c$ has the opposite sign. $a$ and $c$ have the same sign. $a$, $b$ and $c$ have the same sign.
asked Sep 23, 2019 in Numerical Ability Arjun 111 views
2 votes
2 answers
27
The sum of the series $\:3+11+\dots +(8n-5)\:$ is $4n^2-n$ $8n^2+3n$ $4n^2+4n-5$ $4n^2+2$
asked Sep 23, 2019 in Numerical Ability Arjun 153 views
1 vote
1 answer
28
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
asked Sep 23, 2019 in Numerical Ability Arjun 107 views
1 vote
1 answer
29
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
asked Sep 23, 2019 in Numerical Ability Arjun 91 views
1 vote
1 answer
30
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
asked Sep 23, 2019 in Numerical Ability Arjun 95 views
0 votes
1 answer
31
The number of real roots of the equation $1+\cos ^2x+\cos ^3 x – \cos^4x=5$ is equal to $0$ $1$ $3$ $4$
asked Sep 23, 2019 in Numerical Ability Arjun 144 views
0 votes
1 answer
32
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 $\lambda < \frac{4}{3}$ $\lambda > \frac{5}{3}$ $\lambda \in \big( \frac{4}{3}, \frac{5}{3}\big)$ $\lambda \in \big( \frac{1}{3}, \frac{5}{3}\big)$
asked Sep 23, 2019 in Numerical Ability Arjun 68 views
0 votes
1 answer
33
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 $4$ $3$ $-4$ $-3$
asked Sep 23, 2019 in Numerical Ability Arjun 64 views
1 vote
1 answer
34
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 $(2, -2)$ $(2\sqrt{2},-2)$ $(-2, 2\sqrt{2})$ $(2\sqrt{2}, -2\sqrt{2})$
asked Sep 23, 2019 in Numerical Ability Arjun 134 views
0 votes
1 answer
35
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 $b \in \mathbb{R}$
asked Sep 23, 2019 in Numerical Ability Arjun 58 views
0 votes
1 answer
36
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
asked Sep 23, 2019 in Numerical Ability Arjun 122 views
0 votes
1 answer
37
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 $\frac{n(4n^2-1)c^2}{6}$ $\frac{n(4n^2+1)c^2}{3}$ $\frac{n(4n^2-1)c^2}{3}$ $\frac{n(4n^2+1)c^2}{6}$
asked Sep 23, 2019 in Numerical Ability Arjun 65 views
1 vote
0 answers
38
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 $\frac{\pi}{4}$ $\frac{\pi}{8}$ $\frac{\pi}{6}$ $2 \pi$
asked Sep 23, 2019 in Numerical Ability Arjun 104 views
0 votes
1 answer
39
Let $y=[\:\log_{10}3245.7\:]$ where $[ a ]$ denotes the greatest integer less than or equal to $a$. Then $y=0$ $y=1$ $y=2$ $y=3$
asked Sep 23, 2019 in Numerical Ability Arjun 55 views
0 votes
1 answer
40
The number of integer solutions for the equation $x^2+y^2=2011$ is $0$ $1$ $2$ $3$
asked Sep 23, 2019 in Numerical Ability Arjun 60 views
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