Recent questions in Quantitative Aptitude

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1761
On a semicircle with diameter AD; chord BC is parallel to the diameter. Further, each of the chords AB and CD has length $2,$ while has length $8.$ What is the length of ...
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1762
In the adjoining figure, chord $\text{ED}$ is parallel to the diameter $\text{AC}$ of the circle. If $\angle \text{CBE} = 65^{\circ}$ then what is the value of $\angle \t...
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1 answer
1767
Two boats, travelling at $5$ and $10$ kms per hour, head directly towards each other. They begin at a distance of $20$ kms from each other. How far apart are they (in kms...
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1768
Let $f(x) = ax^2 - b |x|$, where $a$ and $b$ are constants. Then at $x=0, f(x)$ is, maximized whenever $a>0, b>0$maximized whenever $a>0, b<0$minimized whenever $a>0, b>0...
1 votes
1 answer
1769
Let $y=\dfrac{1}{2+ \dfrac{1}{3+ \dfrac{1}{2+ \dfrac{1}{3+ \dots } } } }$ what is the value of $y?$$\frac{\sqrt{13} +3} {2}$$\frac{\sqrt{13} -3} {2}$$\frac{\sqrt{15} +3} ...
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1 answer
1770
If $\frac{a}{a+b} = \frac{b}{c+a} = \frac{c}{a+b} = r$, then $r$ cannot take any value except$1/2$$-1$$1/2$ or $-1$-$1/2$ or $-1$
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1 answer
1771
Suppose $n$ is an integer such that the sum of the digits of $n$ is $2,$ and $10^{10} < n < 10^{11}$. The number of different values for $n$ is$11$$10$$9$$8$
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1 answer
1772
If $f(x) = x^3 - 4x + p$, and $f(0)$ and $f(1)$ are of opposite signs, then which of the following is necessarily true?$-1 < p < 2$$0 < p < 3$$-2 < p < 1$$-3 < p < 0$
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1 answer
1773
The total number of integer pairs $(x,y)$ satisfying the equation $x+y=xy$ is$0$$1$$2$None of these
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2 answers
1776
If the sum of first $11$ terms of an arithmetic progression equals that of a first $19$ terms, then what is the sum of the first $30$ terms?$0$$-1$$1$Not unique
1 votes
1 answer
1779
A milkman mixes $20$ litres of water with $80$ litres of milk. After selling one-fourth of his mixture, he adds water to replenish the quantity that he has sold. What is ...
1 votes
1 answer
1781
Calculate number of pairs Whose LCM is 800 and HCF is 20
4 votes
1 answer
1782
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1784
There are three coplanar parallel lines. If any $p$ points are taken on each of the lines, then find the maximum number of triangles with the vertices of these points.$p^...
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1785
M is the center of the circle. $l(\text{QS})=10 \sqrt{2},l (\text{PR}) = l(\text{RS})$ and $\text{PR} \| \text{QS}$. Find the area of the shaded region. (use $\pi=3$)$100...
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1788
A train crosses a platform $100$ meters long in $60$ seconds at a speed of $45$ km per hour. The time taken by the train to cross an electric pole, is$8$ seconds$1$ minut...
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1796
Let $g(x)$ be a function such that $g(x+1) +g(x-1) = g(x)$ for every real $x.$ Then for what value of $p$ is the relation $g(x+p)=g(x)$ necessarily true for every real $x...
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1797
Let $x=\sqrt{4+\sqrt{4-\sqrt{4+\sqrt{4-}}}} \dots$ to infinity. Then $x$ equals$3$$\frac{\sqrt{13} -1}{2}$$\frac{\sqrt{13} +1}{2}$$\sqrt{13}$
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1798
Let $\text{S}$ be a positive integer such that every element $n$ of $\text{S}$ satisfies the conditions$1000 \leq n \leq 1200$every digit in $n$ is oddThen how many elem...
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1800