Explore topic-wise InterviewSolutions in .

Question 2

Construct an angle of ${45}^{\circ }$ at the initial point of a given ray and justify the construction.

Solve $(ab+1{)}^2$ - $(ab{)}^2$ where, b - a = 1.

Which of the following is an algebraic equation?

To construct rhombus ABCD given CD =5 cm and diagonal BD =8.5 cm, which of the properties of rhombus do we use?

In a polynomial, the exponents of the variables are always:

In the adjacent figure, CD and BE are altitudes of an isosceles triangle ABC with AC = AB. Prove that AE = AD.

1)During a sale, a shop offered a discount of 10% on the market prices of all the items.What would a customer have to pay for a pair jeans marked at Rs 1450 and two shirts marked at Rs 850 each ?

A man invests Rs 8800 in buying shares of a company of nominal value of Rs 100 each at a premium of 10%. If he earns Rs 1200 at the end of each year as dividend, find:

1) No. Of shares he has in the company

2) the dividend percent per share.

A point has ___ dimensions.

Take a 3 digit number 'abc'. If we add abc, cab and bca together then the resulting sum is divisible by:

Question 70

In the following question, state whether the given statements are true (T) or false (F).

$329.25=3\times {10}^2+2\times {10}^1+9\times {10}^0+2\times {10}^{-1}+5\times {10}^{-2}$

In the given figure, ABCD is a field in the form of a quadrilateral whose sides are indicated. If $\angle DAB={90}^{\circ }$ and $DC||AB$. The area of field is :

Question 6 (ii)

For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

2925

If the same number be added to the numbers 5, 11, 15 and 31, the resulting numbers are in proportion. Find the number.

Question 60

The central angle of a sector in a pie chart cannot be more than ${180}^{\circ }$.

80% is equal to the ratio:

Arrange the following subtraction statements such that the highest value statement is on the top:

If length and breadth of a rectangle are 'x' cm and 'y' cm respectively, then find the perimeter of the rectangle.

The standard notation of 1650000 is given by .

The area of a circle is $\pi d^2$, then the radius of the circle is ____

Question 111(iii)

At a birthday party, the children spin a wheel to get a gift.



Find the probability of

Getting any toy except a chocolate. ?

A flooring tile has the shape of a rectangle whose dimensions are 10cm × 6cm. How many such tiles are required to cover a floor of area 30 × 50 cm²? (If required you can split the tiles in whatever way you want to fill up the corners).

Question 80

To verify Pythagoras theorem is a random experiment ?

The perimeter of a rectangular swimming pool is 154 m. Its length is 5 m more than twice its breadth. What is the area of the rectangular swimming pool?

Prove that if one pair of opposite sides of a quadrilateral are equal and parallel, then it is a parallelogram.

A shopkeeper allows his customers a discount of 20% and still gains 20%. If an article costs ₹ 1400 to the dealer, Find it's marked price.

Draw a histogram to represent the following frequency distribution.

The cost of petrol is increased by 12%, find the increase in amount if the cost is Rs 54 per liter.

The length of a log of wood is 2 m 15 cm. What will be its length in cm ?

If a set has 8 subsets, then it contains ___ elements

Using the identity $(x+y{)}^2+(x-y{)}^2=2(x^2+y^2)$

Compute the value of $4^2+2^2$

Question 3 (ii)

Simplify:

${\left(\frac{1}{3^3}\right)}^7$