Recent questions tagged cat2019-2

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Three doctors, Dr. Ben, Dr. Kane and Dr. Wayne visit a particular clinic Monday to Saturday to see patients. Dr. Ben sees each patient for $10$ minutes and charges Rs. $1...
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The first year students in a business school are split into six sections. In $2019$ the Business Statistics course was taught in these six sections by Annie, Beti, Chetan...
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The first year students in a business school are split into six sections. In $2019$ the Business Statistics course was taught in these six sections by Annie, Beti, Chetan...
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To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the $16$ st...
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To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the $16$ st...
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To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the $16$ st...
0 0 votes
0 0 answers
1.3k
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To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the $16$ st...
0 0 votes
0 0 answers
1.2k
1.2k views
Three doctors, Dr. Ben, Dr. Kane and Dr. Wayne visit a particular clinic Monday to Saturday to see patients. Dr. Ben sees each patient for $10$ minutes and charges Rs. $1...
0 0 votes
0 0 answers
1.4k
1.4k views
A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments fo...
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A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments fo...
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 Column 1Column 2Column 3Row 1(2, 4)(6, 8)(1, 3)Row 2(3, 5)(1, 1)(6, 20)Row 3(1, 2)(1, 2)(2, 5) Three pouches (each represented by a filled circle) are kept in each of th...
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 Column 1Column 2Column 3Row 1(2, 4)(6, 8)(1, 3)Row 2(3, 5)(1, 1)(6, 20)Row 3(1, 2)(1, 2)(2, 5) Three pouches (each represented by a filled circle) are kept in each of th...
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 Column 1Column 2Column 3Row 1(2, 4)(6, 8)(1, 3)Row 2(3, 5)(1, 1)(6, 20)Row 3(1, 2)(1, 2)(2, 5) Three pouches (each represented by a filled circle) are kept in each of th...
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 Column 1Column 2Column 3Row 1(2, 4)(6, 8)(1, 3)Row 2(3, 5)(1, 1)(6, 20)Row 3(1, 2)(1, 2)(2, 5) Three pouches (each represented by a filled circle) are kept in each of th...
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A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments fo...
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A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments fo...
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1 1 answer
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How many pairs $(m,n)$ of positive integers satisfy the equation $m^{2}+105=n^{2}$ _______
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The salaries of Ramesh, Ganesh and Rajesh were in the ratio $6:5:7$ in $2010$, and in the ratio $3:4:3$ in $2015$. If Ramesh’s salary increased by $25\%$ during $2010-201...
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In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by $6$. The revised scor...
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If x is a real number, then $\sqrt{\log _{e}\frac{4x-x^{2}}{3}}$ is a real number if and only if$1\leq x\leq 2$$-3\leq x\leq 3$$1\leq x\leq 3$$-1\leq x\leq 3$
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John jogs on track $\text{A}$ at $6$ kmph and Mary jogs on track $\text{B}$ at $7.5$ kmph. The total length of tracks $\text{A}$ and $\text{B}$ is $325$ metres. While Joh...
1 1 vote
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A cyclist leaves $\text{A}$ at $10$ am and reaches $\text{B}$ at $11$ am. Starting from $10:01$ am, every minute a motor cycle leaves $\text{A}$ and moves towards $\text{...
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1 1 answer
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In an examination, the score of $\text{A}$ was $10\%$ less than that of $\text{B}$, the score of $\text{B}$ was $25\%$ more than that of $\text{C}$, and the score of $\te...
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Anil alone can do a job in $20$ days while Sunil alone can do it in $40$ days. Anil starts the job, and after $3$ days, Sunil joins him. Again, after a few more days, Bim...
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1 answers 1 answer
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The average of $30$ integers is $5$. Among these $30$ integers, there are exactly $20$ which do not exceed $5$. What is the highest possible value of the average of these...
1 1 vote
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Two circles, each of radius $4$ cm, touch externally. Each of these two circles is touched externally by a third circle. If these three circles have a common tangent, the...
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Two ants $\text{A}$ and $\text{B}$ start from a point $\text{P}$ on a circle at the same time, with $\text{A}$ moving clock-wise and $\text{B}$ moving anti-clockwise. The...
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In a triangle $\text{ABC}$, medians $\text{AD}$ and $\text{BE}$ are perpendicular to each other, and have lengths $12$ cm and $9$ cm, respectively. Then, the area of tria...
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Let $a_{1},a_{2}\dots$ be integers such that $a_{1}-a_{2}+a_{3}-a_{4}+\dots+(-1)^{n-1}a_{n}=n$, for all $n\geq 1$ Then $a_{51}+a_{52}+\dots+a_{1023}$ equals$-1$$10$$0$$1$
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The real root of the equation $2^{6x}+2^{3x+2}-21=0$ is$\frac{\log_{2}7}{3}$$\log_{2}9$$\frac{\log_{2}3}{3}$$\log_{2}27$
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The quadratic equation $x^{2}+bx+c=0$ has two roots $4a$ and $3a$, where a is an integer. Which of the following is a possible value of $b^{2}+c$?$3721$$549$$427$$361$
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In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is e...
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In $2010$, a library contained a total of $11500$ books in two categories -fiction and nonfiction. In $2015$, the library contained a total of $12760$ books in these two ...
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The strength of a salt solution is $p\%$ if $100$ ml of the solution contains $p$ grams of salt. Each of three vessels $\text{A, B, C}$ contains $500$ ml of salt solutio...
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How many factors $2^{4}\times3^{5}\times10^{4}$ are perfect squares which are greater than $1$ _______
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Let $a,b,x,y$ be real numbers such that $a^{2}+b^{2}=25,x^{2}+y^{2}=169$, and $ax+by=65$. If $k=ay-bx$, then$k=0$$0< k\leq \frac{5}{13}$$k=\frac{5}{13}$$k \frac{5}{13}$
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What is the largest positive integer $n$ such that $\frac{n^{2}+7n+12}{n^{2}-n-12}$ is also a positive integer?$8$$12$$16$$6$
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A shopkeeper sells two tables, each procured at cost price $p,$ to Amal and Asim at a profit of $20\%$ and at a loss of $20\%$, respectively. Amal sells his table to Bima...
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John gets Rs $57$ per hour of regular work and Rs $114$ per hour of overtime work. He works altogether $172$ hours and his income from overtime hours is $15\%$ of his inc...
1 1 vote
1 1 answer
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Mukesh purchased $10$ bicycles in $2017$, all at the same price. He sold six of these at a profit of $25\%$ and the remaining four at a loss of $25\%$. If he made a total...