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A gift containing cylinder surmounted by cone is to be wrapped. What is the surface area to be wrapped if the cylinder of 10 cm height and 3.5 cm radius and cone has slant height of 7 cm ?

What pieces of information given below would be useful in determining a football player's performance in a match?
i) Height
ii) Weight
iii) Name
iv) Stamina
v) Nationality

Using the method of completing the square, find the roots of $4m^2+4\surd 3m+3=0$.

What is the probability of getting a number less than 3 when a die is rolled?

Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the squares of the other two by 60. Find the numbers

The equation $k^2{x}^2+kx+1=0$ has :

Prove that $3ta{n}^2{45}^{\circ }-si{n}^2{60}^{\circ }-\left(\frac{1}{2}\right)co{t}^2{30}^{\circ }+\left(\frac{1}{8}\right)se{c}^2{45}^{\circ }$ = 1

A gardener sets 180 plants In a rows. Each row contains the same number of plants. If there are 40 more plants in each row, the gardener would need 6 fewer rows. How many rows are there?

Consider the following data for a vernier calliper:
10 main scale division = 1 cm.
10 vernier division matches with 9 Main scale division.

While measuring the zero error of the vernier we see that zero of vernier scale is to the right of the zero marking of the main scale with $6^{th}$ vernier division coinciding with main scale divisions.

The actual reading for length measurement is 4.3 cm with 2nd vernier division coinciding with main scale graduation.

Estimate the length.

If the mean of $x$ and $\frac{1}{x}$ is M, the mean of $x^3$ and $\frac{1}{x^3}$ is

If Sin A +Cosec A= 2, then $si{n}^2$A + $cose{c}^2$A =__

5 root 2 plus 5 root 7

Which of the following deposits carry the highest rate of interest?

What are the condition(s) for $(a^2-4)x^{d-2}+bx+c=0$ to be a quadratic equation in x?

A bus covers a distance of 240 km at a uniform speed. Due to heavy rain its speed gets reduced by 10 km/h and takes two hours longer to cover the distance. Assuming the uniform speed to be 'x' km/h, form an equation and solve it to evaluate 'x'.

If A:B = $\frac{1}{2}:\frac{3}{8}$, B:C = $\frac{1}{3}:\frac{5}{9}$ and C:D = $\frac{5}{6}:\frac{3}{4}$, then the ratio A:B:C:D is

A thief runs with a uniform speed of $100m/minute$. After one minute, a policeman runs after the thief to catch him. He goes with a uniform speed of $100m/min$ in the first minute and increases his speed by $10m/minute$ every succeeding minute. After how many minutes the policeman will catch the thief.

Question 9
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in figure. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the total surface area of the article.

Simplify this $\frac{1}{\sqrt{9}-\sqrt{8}}-\frac{1}{\sqrt{8}-\sqrt{7}}+\frac{1}{\sqrt{7}-\sqrt{6}}-\frac{1}{\sqrt{6}-\sqrt{5}}+\frac{1}{\sqrt{5}-\sqrt{4}}$

In ∆ABC AB=6 BC=8 AC=10 . A perpendicular dropped from B meets AC at D . A circle of radius BD (centre B) is drawn . In the circle cuts AB and BC at P and Q then find AP:QC

In a parallelogram ABCD, the diagonal AC measures 34 m and the perpendicular distance of AC from either of the vertices B and D is 12 m. Find the area of the parallelogram.

Apurva buys a mobile at a discount of $30\%$ from the wholesaler, the printed price of the mobile being Rs. 2000 and the rate of sales tax is $6\%$. Apurva sells it to a buyer at the printed price and charges tax at the same rate. Find the VAT paid by the Apurva .

If the mean of the following data is 17, then the value of 'p' is ___

$\begin{array}{cccccc}{x}_i& \text{10}& \text{p}& \text{18}& \text{21}& \text{25}\\ f_i& \text{10}& \text{15}& \text{7}& \text{9}& \text{9}\end{array}$

Prove that the lengths of two tangents drawn from an external point to a circle are equal.

All ___ triangles are always similar.

The angle subtended by the semicircle of a circle, on the circumference of the circle is __.

The product of the digits of a two digit number is 24. If its units's digit exceeds twice its ten's digit by 2; find the number.

1. 0.6

If the area of a circle with radius 'r' is equal to CSA of a cone of radius 'R' and slant height 'L', then R = .

Three horses are tethered with 7 meter long ropes at the three corners of a triangular field having sides 20 m, 34 m and 42 m. The area of the plot which can be grazed by the horses is

$[Use\sqrt{3}=1.732]$

If - √5 and √5 are the roots of the quadratic polynomial. Find the quadratic polynomial.

In fig., area of shaded region is:

Determine the A.P. whose third term is $16$ and the $7^{th}$ term exceeds the $5^{th}$ term by $12.$

In a circle of radius 10 cm length, a chord subtends right-angle at the centre, then the length of the chord is

Which of the following options are equal to $\frac{\tan A}{\sec A-1}+\frac{\tan A}{\sec A+1}$ ?

Expand ${\left(\frac{7}{9}\right)}^3$.

In the given figure, two circle touch each other at C and AB is a tangent to both the circle. The measure of $\angle$ ACB is

(a) ${45}^o$ (b) ${60}^o$ (c) ${90}^o$ (d) ${120}^o$

In an office, the working hours are 10:30 A.M. to 5:30 P.M. In between this time, 30 minutes are spent on lunch. Find the ratio of time spent in office to the time spent on lunch.