Recent questions tagged cat2020-set3

Sixteen patients in a hospital must undergo a blood test for a disease. It is known that exactly one of them has the disease. The hospital has only eight testing kits and...

Sixteen patients in a hospital must undergo a blood test for a disease. It is known that exactly one of them has the disease. The hospital has only eight testing kits and...

Sixteen patients in a hospital must undergo a blood test for a disease. It is known that exactly one of them has the disease. The hospital has only eight testing kits and...

$\text{XYZ}$ organization got into the business of delivering groceries to home at the beginning of the last month. They have a two-day delivery promise. However, their d...

A farmer had a rectangular land containing $205$ trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into t...

A farmer had a rectangular land containing $205$ trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve ...

A farmer had a rectangular land containing $205$ trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve ...

A farmer had a rectangular land containing $205$ trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve ...

A farmer had a rectangular land containing $205$ trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve ...

A farmer had a rectangular land containing $205$ trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve ...

Vimla starts for office every day at $9 \; \text{am}$ and reaches exactly on time if she drives at her usual speed of $40 \; \text{km/hr}.$ She is late by $6 \; \text{min...

A man buys $35 \; \text{kg}$ of sugar and sets a marked price in order to make a $20\%$ profit. He sells $5 \; \text{kg}$ at this price, and $15 \; \text{kg}$ at a $10\%$...

Anil, Sunil, and Ravi run along a circular path of length $3 \; \text{km},$ starting from the same point at the same time, and going in the clockwise direction. If they r...

The area, in $\text{sq. units},$ enclosed by the lines $x = 2, y = |x – 2| + 4,$ the X-axis and the Y-axis is equal to $8$$12$$10$$6$

The vertices of a triangle are $(0,0), (4,0)$ and $(3,9).$ The area of the circle passing through these three points is $\frac{14 \pi}{3}$$\frac{12 \pi}{5}$$\frac{123 \pi...

How many integers in the set $\{ 100, 101, 102, \dots, 999\}$ have at least one digit repeated $?$

Let $\text{N}, x$ and $y$ be positive integers such that $N = x + y, 2 < x < 10$ and $14 < y < 23.$ If $\text{N} 25,$ then how many distinct values are possible for $\...

The points $(2,1)$ and $( – 3, – 4)$ are opposite vertices of a parallelogram. If the other two vertices lie on the line $x + 9y + c = 0,$ then $\text{c}$ is $12$$14$$13$...

How many pairs $(a,b)$ of positive integers are there such that $a \leq b$ and $ab = 4^{2017} \; ?$$2017$$2019$$2020$$2018$

In a trapezium $\text{ABCD},\; \text{AB}$ is parallel to $\text{DC}, \; \text{BC}$ is perpendicular to $\text{DC}$ and $\angle \text{BAD} = 45^{\circ}.$ If $\text{DC} = 5...

Two alcohol solutions, $\text{A}$ and $\text{B},$ are mixed in the proportion $1:3$ by volume. The volume of the mixture is then doubled by adding solution $\text{A}$ suc...

A batsman played $n + 2$ innings and got out on all occasions. His average score in these $n + 2$ innings was $29$ runs and he scored $38$ and $15$ runs in the last two i...

Let $\text{m}$ and $\text{n}$ be natural numbers such that $\text{n}$ is even and $0.2 < \frac{m}{20}, \frac{n}{m}, \frac{n}{11} < 0 \cdot 5.$ Then $m – 2n$ equals $3$$4$...