Comments by anujs

For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k - 3)}$ an integer?$4 , 8 , 18 $ $4 , 10 , 16$$ 4 , 8 , 28 $ $8 , 26 , 28$

For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k - 3)}$ an integer?$4 , 8 , 18 $ $4 , 10 , 16$$ 4 , 8 , 28 $ $8 , 26 , 28$

Which one of the following numbers is exactly divisible by $\left ( 11^{13} +1\right )$?$11^{26} +1$$11^{33} +1$$11^{39} -1$$11^{52} -1$

​​​​The decimal number system uses the characters $0,1,2, \ldots, 8,9$, and the octal number system uses the characters $0,1,2, \ldots, 6,7$.For example, the decimal numb...

The digit in the unit's place of the product $3^{999} \times 7^{1000}$ is _________.$7$$1$$3$$9$

The digit in the unit's place of the product $3^{999} \times 7^{1000}$ is _________.$7$$1$$3$$9$

​​​​In the following figure,\[\begin{array}{c}\mathrm{CD}=5 \mathrm{~cm}, \mathrm{BE}=10 \mathrm{~cm}, \mathrm{AE}=12 \mathrm{~cm}, \\\angle \mathrm{DAB}=\angle \mathrm{D...

A square with sides of length $6 \mathrm{~cm} $ is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as...

This book, including all its chapters, _______interesting. The students as well as the instructor _______ in agreement about it.is, wasare, areis, arewere, was

An award-winning study by a group of researchers suggests that men are as prone to buying on impulse as women but women feel more guilty about shopping.which one of the ...

Newspapers are a constant source of delight and recreation for me. The ________ trouble is that I read _______ many of them.even, quiteeven, tooonly, quiteonly, too

Given below are two statements and four conclusions drawn based on the statements.Statement $1$: Some bottles are cups.Statement $2$: All cups are knives. Conclusion $\te...

The letters $\text{P, Q, R, S, T}$ and $\text{U}$ are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.Consider the followin...

Seven cars $\text{P, Q. R, S, T, U and V}$ are parked in a row not necessarily in that order. The cars $T$ and $U$ should be parked next to each other. The cars $S$ and $...

Consider five people- Mita, Ganga, Rekha, Lakshmi, and Sana. Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga.Which of ...

$P, Q, R,$ and $S$ crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are available.The boat held ...