Recent questions without answers

For the word given at the top of each table, match the dictionary definitions on the left (A, B, C, D) with their corresponding usage on the right (E, F, G, H). Out of th...

For the word given at the top of each table, match the dictionary definitions on the left (A, B, C, D) with their corresponding usage on the right (E, F, G, H). Out of th...

For the word given at the top of each table, match the dictionary definitions on the left (A, B, C, D) with their corresponding usage on the right (E, F, G, H). Out of th...

The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences from amo...

The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences from amo...

The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences from amo...

The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences from amo...

The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences from amo...

In the question given below, four different ways of writing a sentence are indicated. Choose the best way of writing the sentence.Any action of government to reduce the s...

In the question given below, four different ways of writing a sentence are indicated. Choose the best way of writing the sentence.The distinctive feature of tariffs and e...

In the question given below, four different ways of writing a sentence are indicated. Choose the best way of writing the sentence.A symbiotic relationship develops among ...

In the question given below, four different ways of writing a sentence are indicated. Choose the best way of writing the sentenceThe main problem with the notion of price...

Fill the gaps in the passage below with the most appropriate word from the options given for each gap. The right words are the ones used by the author. Be guided by the a...

Fill the gaps in the passage below with the most appropriate word from the options given for each gap. The right words are the ones used by the author. Be guided by the a...

Let T be the set of integers $\{3, 11, 19,27, \dots ,451, 459, 467\}$ and S be a subset of T such that the sum of no two elements of S is $470.$ The maximum possible numb...

The number of positive integers $n$ in the range $12 \leq n \leq 40$ such that the product $(n-1)(n-2) \dots 3 \cdot 2 \cdot 1$ is not divisible by $n$ is$5$$7$$13$$14$

A graph may be defined as a set of points connected by lines called edges. Every edge connects a pair of points. Thus, a triangle is a graph with $3$ edges and three poin...

if $x,y,z$ are distinct positive real numbers then $\frac{x^2(y+z) + y^2(x+z) + z^2(x+y)}{xyz}$ would begreater than $4$greater than $5$greater than $6$None of these

In a certain examination paper, there are n questions. For $j=1, 2, \dots,n,$ there are $2^{n-i}$ students who answered $j$ or more questions wrongly. If the total number...

Consider the following two curves in the $x-y$ plane $y=x^3 + x^2 +5$$y=x^2 + x + 5$Which of the following statements is true for $-2 \leq z \leq 2$?The two curves inters...

There are $6$ boxes numbered $1, 2, \dots,6.$ Each box is to be filled up with a red or green ball in such a way that at least one box contains a green ball and the boxes...

Given that $-1 \leq v \leq 1, -2 \leq u \leq -0.5 \text{ and } -2 \leq z \leq -0.5 \text{ and } w=\frac{vz}{u}$ then which of the following is necessarily true?$-0.5 \leq...

In the figure below, the rectangle at the corner measures $10\;\text{cm} \times 20\;\text{cm}.$ The corner A also the rectangle is also a point on the circumference of th...

In the figure given below, $\text{AB}$ is the chord of a circle with centre $\text{O. AB}$ is extended to $\text{C}$ such that $\text{BC = OB}.$ The straight line $\text{...

if $\log_3\left(2^x - 5\right), \: \log_3\left(2^x - \frac{7}{2}\right)$ are in arithmetic progression, then the value of $x$ is equal to$5$$4$$2$$3$

If the product of $n$ positive real numbers is unity, then their sum is necessarily a multiple of $n$equal to $n+\left(\frac{1}{n}\right)$never less than $n$a positive in...

There are $8436$ steel balls, each with a radius of $1$ centimeter, stacked in a pile, with $1$ ball on top, $3$ balls in second layer, $6$ in the third layer, $10$ in th...

In a triangle $\text{ABC, AB= 6, BC= 8}$ and $\text{AC=10}.$ A perpendicular dropped from $\text{B}$, meets the side $\text{AC}$ at $\text{D}.$ A circles of radius $\text...

A vertical tower $\text{OP}$ stands at the centre $\text{O}$ of a square $\text{ABCD}.$ Let $h$ and $b$ denote the lengths $\text{OP}$ and $\text{AB}$ respectively. Suppo...

In the diagram given below, $\measuredangle \text{ABD} = \measuredangle \text{CDB} = \measuredangle \text{PQD} = 90^{\circ}$. If $\text{AB : CD} = 3:1,$ the ratio of $\t...

How many three digit positive integers, with digits $x, y$ and $z$ in the hundred's, ten's and unit's place respectively, exist such that $x < y, z < y$ and $x \neq 0?$$2...

In the figure below, $\text{ABCDEF}$ is a rectangular hexagon and $\measuredangle \text{AOF} = 90^{\circ}$ is parallel to $\text{ED}.$ What is the ratio of the area of th...

Three horses are grazing within a semi-circular field. In the diagram given below, AB is the diameter of the semi-circular field with center at O. Horses are tied up at P...

Let $a, b, c, d$ be the four integers such that $a +b+c+d =4m+1$ where m is a positive integer. Given $m,$ which one of the following is necessarily true?The minimum poss...

There are two concentric circles such that the area of the outer circle is four times of the area of inner circle. Let A, B and C be the three distinct points on the peri...

Let $p$ and $q$ be the roots of the quadratic equation $x^2 - (a-2) x-a -1 =0.$ What is the minimum possible value of $p^2 + q^2?$$0$$3$$4$$5$

Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is $90^{\circ}$ or concanve ...

Choose $1$ if the question can be answered by one of the statements alone but not by the other.Choose $2$ if the question can be answered by using either statement alone....

A positive whole number $\text{M}$ less than $100$ is represented in base $2$ notation, in base $3$ notation, and base $5$ notation. It is found that in all three cases t...

How many even integers $n,$ where $100 \leq n \leq 200$, are divisible neither by $7$ nor by $9?$$40$$37$$39$$38$