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Recent questions tagged goclasses_wq1
3
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1
GO Classes Weekly Quiz 1 | General Aptitude | Question: 1
Let $\text{S} =\displaystyle \sum_{i=1}^n f(x_i), \text{A}=\displaystyle\sum_{i=1}^{a} f(x_i)$ and $\text{B}=\displaystyle \sum_{i=a}^n f(x_i)$ then Which of the following is/are true? (Consider f as some arbitary function) $\text{S = A + B}$ ... $\text{S}=\displaystyle \sum_{i=1}^{a-1} f(x_i)+f(a)+ \text{B}$ $\text{S = A + B}-f(a)$
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GO Classes Weekly Quiz 1 | General Aptitude | Question: 2
Compute the remainder of $3^{64}$ in the division by $67.$
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3
GO Classes Weekly Quiz 1 | General Aptitude | Question: 3
Compute $2^{32} \; \mod \; 37$
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4
GO Classes Weekly Quiz 1 | General Aptitude | Question: 4
Find $d=\gcd(119,272).$
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5
GO Classes Weekly Quiz 1 | General Aptitude | Question: 5
Evaluate: $1+(1+b)r+(1+b+b^2)r^2+\dots$ to infinite terms for $|br|< 1$. $\frac{1}{(1-br)(1-r)}$ $\frac{1}{(1-r)(1-b)}$ $\frac{1}{(1-b)(b-r)}$ None of these
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6
GO Classes Weekly Quiz 1 | General Aptitude | Question: 6
Evaluate $1+2x+3x^2+4x^3+\dots$ upto infinity, where $|x|<1$. $\frac{1}{(1-x)^2}$ $\frac{x}{(1-x)^2}$ $\frac{x^2}{(1-x)^2}$ $1-\frac{1}{(1-x)^2}$
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7
GO Classes Weekly Quiz 1 | General Aptitude | Question: 7
Find the sum of first $24$ terms of the $\text{A.P.}\;a_1,\;a_2,\;a_3,\;\dots$ if it is known that $a_1+a_5+a_{10}+a_{15}+a_{20}+a_{24}=225$
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8
GO Classes Weekly Quiz 1 | General Aptitude | Question: 8
Which of the following statements is/are True? If $x$ and $y$ are two integers whose product is odd, then both must be odd. If $a$ and $b$ are real numbers such that the product ab is an irrational number, then either $a$ or $b$ ... $m^{2}$ is even, then $m$ is even. The sum of a rational number and an irrational number is irrational.
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9
GO Classes Weekly Quiz 1 | General Aptitude | Question: 9
Consider the following right-angled triangle, in which the angle between the side $\text{AC}$ and $\text{CB}$ is a right angle. Let $a,b,c$ be the length of the sides $\text{BC, AC, AB}$ respectively. Assume $a,b,c$ are integers. ... $a,b$ must be of odd length. $c$ must be of even length. It is possible that the length of every side is odd.
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10
GO Classes Weekly Quiz 1 | General Aptitude | Question: 10
Which of the following is/are true ? Suppose that $na\equiv nb\; \mod\; m$ then $a\equiv b \;\mod\; m$ holds $x3$ is always congruent to one of the $-1 0, 1$ on $\mod\; 7$. Suppose that $a\equiv b\; \mod \;m$ and $a'\equiv b' \; \mod \;m$ then $aa'\equiv bb'\; \mod\; m$ Suppose that $a\equiv b \; \mod\; m$ then $a+m \equiv b \;\mod\; m$
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11
GO Classes Weekly Quiz 1 | General Aptitude | Question: 11
What is the remainder of $62831853$ modulo $11$?
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12
GO Classes Weekly Quiz 1 | General Aptitude | Question: 12
If $\text{S}$ is the sum to infinity of a $\text{G.P.}$ whose first term is $'a'$, then the sum of the first $n$ terms is $\text{S}\left(1-\dfrac{a}{\text{S}}\right)^n$ ... $\text{S}\left[1-\left(1-\dfrac{\text{S}}{a}\right)^n\right]$
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13
GO Classes Weekly Quiz 1 | General Aptitude | Question: 13
If the sum of $p$ terms of an $\text{A.P.}$ is $q$ and the sum of $q$ terms is $p$, then the sum of $p+q$ is _________. $0$ $p-q$ $p+q$ $-(p+q)$
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14
GO Classes Weekly Quiz 1 | General Aptitude | Question: 14
If the sum of an infinitely decreasing $\text{GP}$ is $3,$ and the sum of the squares of its terms is $9/2,$ the sum of the cubes of the terms is _________ $\frac{105}{13}$ $\frac{108}{13}$ $\frac{729}{8}$ None of these
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