0 0 votes
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In Excel, when the contents and attributes of a cell or range of cell have to be erased using the menu, the user must Select the cells, choose Edit, and select Clear, the...
0 0 votes
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The figure shows the rectangle $\text{ABCD}$ with a semicircle and a circle inscribed inside in it as shown. What is the ratio of the area of the circle to that of the se...
1 1 vote
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The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weight in the ratio $1: 2 : 3: 4.$ When the pieces were so...
0 0 votes
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$\text{PQRS}$ is a square. $\text{SR}$ is a tangent (at point $\text{S})$ to the circle with centre $\text{O}$ and $\text{TR = OS}$. Then the ratio of area of the circle ...
0 0 votes
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$\text{ABCD}$ is a square of area $4$ with diagonals $\text{AC}$ and $\text{BD}$, dividing square into $4$ congruent triangles. Figure looks like four non-over lapping tr...
0 0 votes
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A circle is inscribed in a given square and another circle is circumscribed about the square. What is the ratio of the area of the inscribed circle to that of the circums...
0 0 votes
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Use the following information for next two questions: A function $f(x)$ is said to be even if $f(-x) = f(x)$, and odd if $f(-x) = -f(x)$. Thus, for example, the function ...
0 0 votes
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Let $a_{n+1}= 2 a_{n}+1 ({n}=0, 1, 2,\dots)$ and $a_{0}=0$. Then $a_{10}$ nearest to.$1023$$2047$$4095$$8195$
1 1 vote
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Consider four-digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares? $3$ $2$ $4$ $1$
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Two circles with centres $\text{P}$ and $\text{Q}$ cut each other at two distinct points $\text{A}$ and $\text{B}$. The circles have the same radii and neither $\text{P}$...
0 0 votes
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If $y = f(x)$ and $f(x) = (1 - x) / (1 + x)$, which of the following is true? $f(2x) = f(x) – 1$ $x = f(2y) - 1$ $f(1/x) = f(x)$ $x = f(y)$
1 1 vote
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Survey was conducted of $100$ people to find out whether they had read recent issues of Golmal, a monthly magazine. The summarized information regarding readership in $3$...
0 0 votes
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Shyam went to Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is $\frac{3}{4}$ times the distance from Chandigarh to Shimla. The average spee...
1 1 vote
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One man can do as much work in one day as a woman can do in $2$ days. A child does one third the work in a day as a woman. If an estate-owner hires $39$ pairs of hands, m...
0 0 votes
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Two towns $\text{A}$ and $\text{B}$ are $100$ km apart. A school is to be built for $100$ students of town $\text{B}$ and $30$ students of Town $\text{A}$. Expenditure on...
0 0 votes
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The number of solutions of the equation $2x+y=40$ where both $x$ and $y$ are positive integers and $x\leq y$ is __________
0 0 votes
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A young girl counted in the following way on the fingers of her left hand. She started calling the thumb $1$, the index finger $2$, middle finger $3$, ring finger $4$, li...
2 2 votes
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When you reverse the digits of the number $13$, the number increases by $18$. How many other two digit numbers increase by $18$ when their digits reversed ___________
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The maximum possible value of $y = \min\left ( 1/2-3x^{2}/4,5x^{2}/4 \right )$ for the range $0<x<1$ is$1/3$$1/2$$5/27$$5/16$
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Let $x<0,\:0<y<1,\:z>1$. Which of the following may be false?$\left (x ^{2} -z^{2}\right )$ has to be positive.$yz$ can be less than one.$xy$ can never be zero.$\left (y ...
0 0 votes
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Consider the set $\text{S} = \left \{ 1, 2, 3, \dots,1000 \right \}$. How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ a...
1 1 vote
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Let $u_{n+1}=2u_{n}+1 \;(n=0,1,2,\dots)$ and $u_{n}=0$. Then $u_{10}$ nearest to ________
1 1 vote
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If $\log_{y}x=\left ( a \cdot \log_{z} y\right ) = \left ( b \cdot \log_{x}z \right )=ab,$ then which of the following pairs of values for $(a,b)$ is not possible?$(-2, 1...
0 0 votes
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$\text{ABCD}$ is a rhombus with the diagonals $\text{AC}$ and $\text{BD}$ intersecting at the origin on the $x\text{-}y$ plane. The equation of the straight line $\text{A...
0 0 votes
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In a mile race, Akshay can be given a start of $128$ m by Bhairav. If Bhairav can give Chinmay a start of $4$ m in a $100$ m dash, then who out of Akshay and Chinmay will...
0 0 votes
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For the product $n\left ( n+1 \right )\left ( 2n+1 \right ),n \in \mathbf{N}$, which one of the following is not necessarily true? It is evenDivisible by $3$Divisible by ...
0 0 votes
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$\frac{2}{5}$ of the voters promise to vote for $\text{P}$ and the rest promised to vote for $\text{Q}$. Of these, on the last day $15\%$ of the voters went back of their...
1 1 vote
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$\text{A}$ and $\text{B}$ are two railway stations $90 \; \text{km}$ apart. A train leaves $\text{A}$ at $9:00 \; \text{am},$ heading towards $\text{B}$ at a speed of $40...
1 1 vote
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A person invested a certain amount of money at $10\%$ annual interest, compounded half-yearly. After one and a half years, the interest and principal together became $\te...
1 1 vote
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Anil buys $12$ toys and labels each with the same selling price. He sells $8$ toys initially at $20\%$ discount on the labeled price. Then he sells the remaining $4$ toys...
1 1 vote
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A tea shop offers tea in cups of three different sizes. The product of the prices, in $\text{INR},$ of three different sizes is equal to $800.$ The prices of the smallest...
1 1 vote
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If a certain weight of an alloy of silver and copper is mixed with $3 \; \text{kg}$ of pure silver, the resulting alloy will have $90 \%$ silver by weight. If the same we...
1 1 vote
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Bank $\text{A}$ offers $6 \%$ interest rate per annum compounded half yearly. Bank $\text{B}$ and Bank $\text{C}$ offer simple interest but the annual interest rate offer...
1 1 vote
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For a $4$-digit number, the sum of its digits in the thousands, hundreds and tens places is $14,$ the sum of its digits in the hundreds, tens and units places is $15,$ an...
1 1 vote
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A person buys tea of three different qualities at ₹$ \; 800,$ ₹ $\; 500,$ and ₹$ \; 300 \; \text{per kg},$ respectively, and the amounts bought are in the proportion $2:3...
1 1 vote
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In a football tournament, a player has played a certain number of matches and $10$ more matches are to be played. If he scores a total of one goal over the next $10$ matc...
1 1 vote
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Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil’s share of investment is $70 \%.$ His s...
1 1 vote
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A circle of diameter $8 \; \text{inches}$ is inscribed in a triangle $\text{ABC}$ where $\angle \text{ABC} = 90^{\circ}.$ If $\text{BC} = 10 \; \text{inches}$ then the ar...
4 4 votes
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Fourth term of an arithmetic progression is $8$. What is the sum of the first $7$ terms of the arithmetic progression?$7$$64$$56$Cannot be determined
1 1 vote
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A person who has a certain amount with him goes to market. He can buy $50$ oranges or $40$ mangoes. He retains $10\%$ of the amount for taxi fares and buys $20$ mangoes a...