List of practice Questions

A ball is projected from the ground with a speed $15\, ms ^{-1}$ at an angle $\theta$ with horizontal so that its range and maximum height are equal, then'tan $\theta$ ' will be equal to

Arrange the following words in lexicographical (dictionary) order from highest to lowest:

1. Elephant
2. Banana
3. Apple
4. Cherry

A trader marked up shirts by 40%, offered a 20% discount during a sale, and sold each for 234. Find the number of shirts he purchased.

What is the sum of an infinite geometric series with first term equal to $1$ and common ratio $\frac{1}{2}$?

Write $8^{\,2x+3}$ in the form $2^{\,y}$ and express the relation between $x$ and $y$.

The base area of a cylinder is $154\ \text{cm}^2$ and the height is $5\ \text{cm}$. Find the volume of the cylinder.

The mean of $50$ observations was $36$. It was found later that an observation $48$ was wrongly taken as $23$. The corrected new mean is?

A shopkeeper marked a watch 25% above its cost price, sold it with a 15% discount, and received \$850. Find the cost price.

Identify the pattern in the number series and complete the sequence: 2, 5, 10, 17, __, __

The spin-only magnetic moment value of $M ^{3+}$ ion (in gaseous state) from the pairs $Cr ^{3+} / Cr ^{2+}, Mn ^{3+} / Mn ^2, \quad Fe ^{3+} / Fe ^{2+}$ and $Co ^{3+} / Co ^{2+}$ that has negative standard electrode potential, is BM [Nearest integer]

The ratio x/y on completion of the above reaction is _____

A long conducting wire having a current I flowing through it, is bent into a circular coil of $N$ turns .Then it is bent into a circular coil of $n$ turns. The magnetic field is calculated at the centre of coils in both the cases. The ratio of the magnetic field in first case to that of second case is :

Which letter is midway between the 13th letter from the left and the 4th letter from the right in the sequence given below?
USBEYFHKOPRAWCGJMQDIVLNTXZ

If '@' means ‘×’, ‘C’ means ‘+’, ‘%' means ‘+’ and ‘$’ means ‘−’, then what is the value of
6%12C3@8$3?

What should come in place of the question mark (?) to establish that T is the sister-in-law of Q in the given expression?
R % T * P ? Q • V

Which number will come at the place of E in the given pattern?