CAT Quantitative Aptitude — practice questions
120 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CAT Quantitative Aptitude in the app →Which of the following statements about fractions is correct?In the figure, the whole strip is divided into 8 equal parts and 3 of them are shaded. Which fraction is repreIf @$(A,B)$ denotes the average of $A$ and $B$, /$(A,B)$ denotes the product of $A$ and $B$, and $\times(A,B)$If $A \# B$ denotes the average of $A$ and $B$, $A\$B$ denotes subtraction of $B$ from $A$, and $A im B$ denotGiven that $ qrt[3]{3^x}=5^{1/4}$ and $ qrt[4]{5^y}= qrt{3}$, what is the value of $2xy$?A student claims that $\dfrac{1}{x^b}\times \dfrac{1}{x^c}\times \dfrac{1}{x^a}\times \dfrac{1}{x^b}\times \dfWhat is the simplified form of $\left\{(x^m)^{\frac{1}{m}}\right\}^{\frac{1}{m+1}}$?Simplify $\left(\dfrac{x^a}{x^b}\right)^{a+b}\cdot \left(\dfrac{x^a}{x^{a-b}}\right)^{\frac{a^2}{b}}$.If $(xyz)^4$ is divided by $(x^{-2}y^3)^{-3}(z^{1/2})^6$, what is the simplified result for nonzero $x,y,z$?What least number should be subtracted from 5634 so that the result becomes a perfect square?By what least number should 9900 be multiplied so that the product becomes a perfect square?A piece of land is an isosceles right triangle whose longest side is $98.2\,\mathrm{m}$. What is its perimeterIf $a+\dfrac{1}{a}=5$ for a nonzero real number $a$, then the value of $a^2+\dfrac{1}{a^2}$ isWhich identity is correct?Using prime factorisation, what is the positive square root of $1764$?Which statement correctly distinguishes $ qrt{16}$ from $\pm qrt{16}$?If $N$ is a perfect square, which one of the following cannot be the remainder when $N$ is divided by 4?A natural number greater than 1 is a perfect square. Which of the following remainders is impossible when it iUsing Pascal's triangle, what is the coefficient of $x^2a^3$ in the expansion of $(x+a)^5$?
$ is also a prime, then $x$ can have$P$ is a prime number greater than 5. What is the remainder when $P$ is divided by 6?If 17 is added to the product of two consecutive whole numbers, the result is always a/anS and L are the smallest and the largest $n$-digit natural numbers respectively. $L-S$ is always divisible byOn the number line shown, which one of the marked numbers is irrational?
 was introduced in India on:Skates cost 450 with 5% sales tax. The bill amount is:Waheeda pays 3,300 for an air cooler including 10% VAT. The price before VAT was:Salim pays 784 including 12% GST. The price before GST was:10,000 is borrowed at 15% per annum simple interest for 2 years. The interest is:Heena borrows 20,000 for 2 years at 8% compounded annually. She pays how much more than under simple interest?When interest is compounded half yearly, the time period doubles and the rate is:Euclid's division lemma: for positive integers a and b there exist unique integers q and r with a = bq + r andIn a = bq + r, the integers q and r are called the: