1 1 vote
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Consider a cylinder of height $h$ cms and radius $r=\frac{2}{\pi}$ cms as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylind...
1 1 vote
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If $x= \frac{\sqrt{p^{2}+q^{2}}+\sqrt{p^{2}-q^{2}}}{{\sqrt{p^{2}+q^{2}}-\sqrt{p^{2}-q^{2}}}}$ then $q^{2}x^{2}-2p^{2}x+q^{2}$ equals to :$3$$-1$$-2$$0$
1 1 vote
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If $\left (-4, 0 \right), \left(1, -1 \right)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on :$y=x$$5x+y+12=0$$x+5y-4=0$$x-5y+4=...
1 1 vote
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The roots of the equation $x^{2/3}+x^{1/3}-2=0$ are :$1, -8$$-1, -2$$\frac{2}{3}, \frac{1}{3}$$-2, -7$
0 0 votes
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Advanced LIGO recently observed theBlack Hole activityGravitational wavesUFOSun Temperature
3 3 votes
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If $9$ men working $7\frac{1}{2}$ hours a day can finish a work in $20$ days, then how many days will be taken by $12$ men working $6$ hours a day to finish the work, it ...
1 1 vote
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Due to a fall in the rate of interest from $13\%$ p.a. to $12\frac{1}{2}\%$ p.a., a money lender's yearly income diminishes by ₹ $104$. His capital is :₹ $21, 400$₹ $20,8...
1 1 vote
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Ashok's age is $\left (\frac{1}{6} \right)^{th}$ of his father's age. The father's age will be twice of Kamal's age after $10$ years. If Kamal's eighth birthday was celeb...
0 0 votes
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The difference between simple interest and compound interest on a sum for $2$ years at $8\%$, when the interest is compounded annually is ₹ $16$. If the interest were com...
2 2 votes
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A certain number consists of two digits whose sum is $9$. It the order of digits is reversed, the new number is $9$ less than the original number. The original number is ...
0 0 votes
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Which manifestation of the predications of General Theory of Relativity was experimentally validatedEnergy wavesProcession of Mercury’s orbitBending of light about a mass...
0 0 votes
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Who showed that primes are in $P$.Maninder Aggarwal, N. Kayal and N. SaxenaDonald KnuthAho, Hopcroft and UllmanTim Berners Lee
1 1 vote
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A man walks $10$ miles at an average rate of $2$ miles per hour and returns on a bicycle at an average rate of $10$ miles per hour. How long (to the nearest hour) does th...
2 2 votes
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What is the area of a semicircle with a diameter of $16$ inches?$32 \pi$ square inches$64 \pi$ square inches$128 \pi$ square inches$256 \pi$ square inches
3 3 votes
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Which of the following figures has the largest perimeter $(1 \text{ foot} = 12 \text{ inches})$a square with a diagonal of $5$ feeta rectangle with sides of $3$ feet and ...
2 2 votes
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If $P$$\left (x, y \right)$ is any point on the line joining the points $A$$\left (a, 0 \right)$ and $B$$\left(0, b \right)$ then the value of $bx+ay-ab$ is :$1$$-1$$0$$2...
0 0 votes
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In a swimming-pool $90$ m by $40$ m, $150$ men take a dip. If the average displacement of water by a man is $8$ cubic metres, what will be rise in water level ?$30$ cm$33...