25365 + Interview Questions in Mathematics Page 221 InterviewSolution

11001.	Simplify: (a−b)2+4ab
Answer» Simplify: ${(a - b)}^{2} + 4 a b$

Discussion

11002.	62. if two dice are thrown simultaneously, then the probability of getting a doublet or a total of 6
Answer» 62. if two dice are thrown simultaneously, then the probability of getting a doublet or a total of 6

Discussion

11003.	How many sides does a regular polygon have, if the measure of an exterior angle is 24∘?
Answer» How many sides does a regular polygon have, if the measure of an exterior angle is $24^{\circ}$ ?

Discussion

11004.	Consider the following functions.f:y=5x−4g:y=3−6xDetermine f(2)g(5).
Answer» Consider the following functions. $f : y = 5 x - 4$ $g : y = 3 - 6 x$ Determine $\frac{f (2)}{g (5)} .$

Discussion

11005.	5. Three numbers are chosen at random from 1 to 20. The probability that they are consecutive is
Answer» 5. Three numbers are chosen at random from 1 to 20. The probability that they are consecutive is

Discussion

11006.	Choose the answer from the following:Solve the given system of linear equations using the substitution methodx=2y−1x=y
Answer» Choose the answer from the following: Solve the given system of linear equations using the substitution method $x = 2 y - 1$ $x = y$

Discussion

11007.	If the diameter of this circle is 10 cm, find the length of the chord AB.
Answer» If the diameter of this circle is 10 cm, find the length of the chord AB.

Discussion

11008.	In an experiment of rolling of a fair die, let A, B and C be three events defined as- A: a number which is a perfect square B: a prime number C: a number which is greater than 5Identify the events that are MUTUALLY EXCLUSIVE, EXHAUSTIVE
Answer» In an experiment of rolling of a fair die, let A, B and C be three events defined as- A: a number which is a perfect square B: a prime number C: a number which is greater than 5 Identify the events that are MUTUALLY EXCLUSIVE, EXHAUSTIVE

Discussion

11009.	Question 107 For the development of basic infrastructure in a district, a project of Rs 108 crore approved by Development Bank is as follows : Item headRoadElectricityDrinking waterSewerageAmount(in Rs crore)43.216.227.0021.6 Draw a pie chart for this data.
Answer» Question 107 For the development of basic infrastructure in a district, a project of Rs 108 crore approved by Development Bank is as follows : $\begin{matrix} I t e m h e a d & R o a d & E l e c t r i c i t y & D r i n k i n g w a t e r & S e w e r a g e A m o u n t (i n R s c r o r e) & 43.2 & 16.2 & 27.00 & 21.6 \end{matrix}$ Draw a pie chart for this data.

11009.

Question 107 For the development of basic infrastructure in a district, a project of Rs 108 crore approved by Development Bank is as follows : Item headRoadElectricityDrinking waterSewerageAmount(in Rs crore)43.216.227.0021.6 Draw a pie chart for this data.

Answer»

Question 107

For the development of basic infrastructure in a district, a project of Rs 108 crore approved by Development Bank is as follows :
$\begin{matrix} I t e m h e a d & R o a d & E l e c t r i c i t y & D r i n k i n g w a t e r & S e w e r a g e A m o u n t (i n R s c r o r e) & 43.2 & 16.2 & 27.00 & 21.6 \end{matrix}$
Draw a pie chart for this data.

Discussion

11010.	If two-sevenths of 14 apples are spoilt, how many are left?
Answer» If two-sevenths of 14 apples are spoilt, how many are left?

Discussion

11011.	Construct an equilateral triangle of side 5.5 cm.
Answer» Construct an equilateral triangle of side 5.5 cm.

Discussion

11012.	Every integer 'a' is a rational number as 'a' can be expressed as
Answer» Every integer 'a' is a rational number as 'a' can be expressed as

Discussion

11013.	A pack of 2kg of sugar contains 8×106 crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the weight of sugar present?
Answer» A pack of 2kg of sugar contains 8× $10^{6}$ crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the weight of sugar present?

Discussion

11014.	How to draw dot structure ?
Answer» How to draw dot structure ?

Discussion

11015.	Assertion: Mode of the given data 110, 120, 130, 120, 110, 140, 130, 120, 140, 120, is 120. Reason: The observation that occurs most frequently, i.e., the observation with maximum frequency is called mode. Which of the following is correct ?
Answer» Assertion: Mode of the given data 110, 120, 130, 120, 110, 140, 130, 120, 140, 120, is 120. Reason: The observation that occurs most frequently, i.e., the observation with maximum frequency is called mode. Which of the following is correct ?

Discussion

11016.	Question 6If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also, read from the graph the work done when the distance travelled by the body is: (i) 2 units (ii) 0 unit
Answer» Question 6 If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also, read from the graph the work done when the distance travelled by the body is: (i) 2 units (ii) 0 unit

Discussion

11017.	Question 10 I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added
Answer» Question 10 I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added

Discussion

11018.	Rohit buys an item at 25% discount on the marked price. He sells it for Rs. 660, making a profit of 10%. What is the marked price of the item?
Answer» Rohit buys an item at $25 %$ discount on the marked price. He sells it for Rs. 660, making a profit of $10 %$ . What is the marked price of the item?

Discussion

11019.	If the angle of the sector with radius 3 cm is 120∘, then its area is:
Answer» If the angle of the sector with radius 3 cm is $120^{\circ}$ , then its area is:

Discussion

11020.	Question 18Two numbers are in the ratio 5:6. If 8 is subtracted from each of the numbers, the ratio becomes 4:5, then find the numbers.
Answer» Question 18 Two numbers are in the ratio 5:6. If 8 is subtracted from each of the numbers, the ratio becomes 4:5, then find the numbers.

Discussion

11021.	An electric pole, 14 metres high, casts a shadow of 10 metres. The height of a tower that casts a shadow of 300 metres under similar conditions is: (in metres)
Answer» An electric pole, 14 metres high, casts a shadow of 10 metres. The height of a tower that casts a shadow of 300 metres under similar conditions is: (in metres)

Discussion

11022.	Complétez avec les pré positions données.(de, à, au, d', aux, en)
Answer» Complétez avec les pré positions données. (de, à, au, d', aux, en)

Discussion

11023.	Factorise: 8a3−b3−4ax+2bx
Answer» Factorise: $8 a^{3} - b^{3} - 4 a x + 2 b x$

11023.

Factorise: 8a3−b3−4ax+2bx

Answer»

Factorise:

$8 a^{3} - b^{3} - 4 a x + 2 b x$

Discussion

11024.	Categorize the following expressions based on the number of terms. a.u2v+2uuv−7uv2b.6x3yz2c.3s2+st+3t3
Answer» Categorize the following expressions based on the number of terms. $a . u^{2} v + 2 u u v - 7 u v^{2} b . 6 x^{3} y z^{2} c . 3 s^{2} + s t + 3 t^{3}$

11024.

Categorize the following expressions based on the number of terms. a.u2v+2uuv−7uv2b.6x3yz2c.3s2+st+3t3

Answer»

Categorize the following expressions based on the number of terms.

$a . u^{2} v + 2 u u v - 7 u v^{2} b . 6 x^{3} y z^{2} c . 3 s^{2} + s t + 3 t^{3}$

Discussion

11025.	Three exterior angles of a hexagon are 40∘,51∘ and 86∘. If each of the remaining exterior angles is x∘, then x=___
Answer» Three exterior angles of a hexagon are $40^{\circ}, 51^{\circ}$ and $86^{\circ}$ . If each of the remaining exterior angles is $x^{\circ}$ , then x=___

Discussion

11026.	What number should be added to (12+13−15) so as to get 3?
Answer» What number should be added to $(\frac{1}{2} + \frac{1}{3} - \frac{1}{5})$ so as to get 3?

Discussion

11027.	Find how many three digit natural numbers are divisible by 5.
Answer» Find how many three digit natural numbers are divisible by 5.

Discussion

11028.	If the selling price of 10 pens is the same as the cost price of 12 pens then gain per cent is (a) 2 % (b) 12 % (c) 20 % (d) 25 %
Answer» If the selling price of 10 pens is the same as the cost price of 12 pens then gain per cent is (a) 2 % (b) 12 % (c) 20 % (d) 25 %

11028.

If the selling price of 10 pens is the same as the cost price of 12 pens then gain per cent is (a) 2 % (b) 12 % (c) 20 % (d) 25 %

Answer»

If the selling price of 10 pens is the same as the cost price of 12 pens then gain per cent is

(a) 2 %

(b) 12 %

(c) 20 %

(d) 25 %

Discussion

11029.	Find the digit for A in 6 1 A +1 A 5 ______ 8 0 3
Answer» Find the digit for A in 6 1 A +1 A 5 ______ 8 0 3

11029.

Find the digit for A in 6 1 A +1 A 5 ______ 8 0 3

Answer»

Find the digit for A in

6 1 A

+1 A 5

______

8 0 3

Discussion

11030.	The sum of a number and 2, multiplied by 3 gives 18. What is the number.
Answer» The sum of a number and 2, multiplied by 3 gives 18. What is the number.

11030.

The sum of a number and 2, multiplied by 3 gives 18. What is the number.

Answer»

The sum of a number and 2, multiplied by 3 gives 18. What is the number.

Discussion

11031.	23. What is mean by rate constant
Answer» 23. What is mean by rate constant

Discussion

11032.	The sides of a triangle are 16 cm, 12 cm and 20 cm. Find: (i) Area of the triangle (ii) Height of the triangle, corresponding to the largest side (iii) Height of the triangle, corresponding to the smallest side.
Answer» The sides of a triangle are 16 cm, 12 cm and 20 cm. Find: (i) Area of the triangle (ii) Height of the triangle, corresponding to the largest side (iii) Height of the triangle, corresponding to the smallest side.

11032.

The sides of a triangle are 16 cm, 12 cm and 20 cm. Find: (i) Area of the triangle (ii) Height of the triangle, corresponding to the largest side (iii) Height of the triangle, corresponding to the smallest side.

Answer»

The sides of a triangle are 16 cm, 12 cm and 20 cm. Find:

(i) Area of the triangle

(ii) Height of the triangle, corresponding to the largest side

(iii) Height of the triangle, corresponding to the smallest side.

Discussion

11033.	16. Perform the following calculations to the appropriate number of significant figures. (6.02104.00)÷ (4.010)
Answer» 16. Perform the following calculations to the appropriate number of significant figures. (6.02104.00)÷ (4.010)

Discussion

11034.	The base area and the area of two adjacent walls of a rectangular box is known. The product of these areas is equal to
Answer» The base area and the area of two adjacent walls of a rectangular box is known. The product of these areas is equal to

Discussion

11035.	Find the square roots of 100 and 169 by the method of repeated subtraction.
Answer» Find the square roots of 100 and 169 by the method of repeated subtraction.

Discussion

11036.	Draw a number line and answer the following:If we are at –8 on the number line, in which direction should we move to reach –13?
Answer» Draw a number line and answer the following: If we are at –8 on the number line, in which direction should we move to reach –13?

11036.

Draw a number line and answer the following:If we are at –8 on the number line, in which direction should we move to reach –13?

Answer»

Draw a number line and answer the following:

If we are at –8 on the number line, in which direction should we move to reach –13?

Discussion

11037.	We cut a corner of a cube as shown in the figure. The cut out piece is _________.
Answer» We cut a corner of a cube as shown in the figure. The cut out piece is _________.

11037.

We cut a corner of a cube as shown in the figure. The cut out piece is _________.

Answer»

We cut a corner of a cube as shown in the figure. The cut out piece is _________.

Discussion

11038.	What fraction of fishes is not purple?
Answer» What fraction of fishes is not purple?

Discussion

11039.	What is the value of (√3+√2)(√2+√3)?
Answer» What is the value of $(\sqrt{3} + \sqrt{2}) (\sqrt{2} + \sqrt{3})$ ?

Discussion

11040.	12 men can dig a pond in 8 days. How many men can dig it in 6 days?
Answer» 12 men can dig a pond in 8 days. How many men can dig it in 6 days?

Discussion

11041.	SiF4 is tetrahedral or square planar?
Answer» SiF4 is tetrahedral or square planar?

Discussion

11042.	Acuboid is of dimensions 60 cm × 54 cm × 30 cm. How manysmall cubes with side 6 cm can be placed in the given cuboid?
Answer» A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?

Discussion

11043.	If x varies directly with y,and x1 = 15, y1 = 16, x2 = 25, then find the value of y2.
Answer» $If x varies directly with y,$ $a n d x_{1} = \frac{1}{5}, y_{1} = \frac{1}{6}, x_{2} = \frac{2}{5}, then find the value of y_{2} .$

Discussion

11044.	Question 142Shaline has to cut out circles of diameter 114 cm from an aluminium strip of dimensions 834 cm by 114 cm. How many full circles can Shalini cut? Also, calculate the wastage of the aluminium strip.
Answer» Question 142 Shaline has to cut out circles of diameter $1 \frac{1}{4} c m$ from an aluminium strip of dimensions $8 \frac{3}{4} c m$ by $1 \frac{1}{4} c m$ . How many full circles can Shalini cut? Also, calculate the wastage of the aluminium strip.

Discussion

11045.	Find the value of (66666)2.
Answer» $Find the value of (66666)^{2} .$

Discussion

11046.	The number of blankets manufactured on different days of a week is given as follows:The median of this data set is 28. For the given data set, choose the correct representation.
Answer» The number of blankets manufactured on different days of a week is given as follows: The median of this data set is $28$ . For the given data set, choose the correct representation.

Discussion

11047.	To construct a parallelogram, a minimum of how many measurements need to be provided?
Answer» To construct a parallelogram, a minimum of how many measurements need to be provided?

Discussion

11048.	In the given figure, AB equal to ___ units.
Answer» In the given figure, AB equal to ___ units.

11048.

In the given figure, AB equal to ___ units.

Answer»

In the given figure, AB equal to ___ units.

Discussion

11049.	The shape of CO2 molecule is
Answer» The shape of $C O_{2}$ molecule is

Discussion

11050.	In which of the following quadrilaterals diagonals do not bisect each other?
Answer» In which of the following quadrilaterals diagonals do not bisect each other?

Discussion

Explore topic-wise InterviewSolutions in .

Simplify: (a−b)2+4ab

62. if two dice are thrown simultaneously, then the probability of getting a doublet or a total of 6

How many sides does a regular polygon have, if the measure of an exterior angle is 24∘?

Consider the following functions.f:y=5x−4g:y=3−6xDetermine f(2)g(5).

5. Three numbers are chosen at random from 1 to 20. The probability that they are consecutive is

Choose the answer from the following:Solve the given system of linear equations using the substitution methodx=2y−1x=y

If the diameter of this circle is 10 cm, find the length of the chord AB.

In an experiment of rolling of a fair die, let A, B and C be three events defined as- A: a number which is a perfect square B: a prime number C: a number which is greater than 5Identify the events that are MUTUALLY EXCLUSIVE, EXHAUSTIVE

Question 107 For the development of basic infrastructure in a district, a project of Rs 108 crore approved by Development Bank is as follows : Item headRoadElectricityDrinking waterSewerageAmount(in Rs crore)43.216.227.0021.6 Draw a pie chart for this data.

If two-sevenths of 14 apples are spoilt, how many are left?

Construct an equilateral triangle of side 5.5 cm.

Every integer 'a' is a rational number as 'a' can be expressed as

A pack of 2kg of sugar contains 8×106 crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the weight of sugar present?

How to draw dot structure ?

Assertion: Mode of the given data 110, 120, 130, 120, 110, 140, 130, 120, 140, 120, is 120. Reason: The observation that occurs most frequently, i.e., the observation with maximum frequency is called mode. Which of the following is correct ?

Question 10 I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added

Rohit buys an item at 25% discount on the marked price. He sells it for Rs. 660, making a profit of 10%. What is the marked price of the item?

If the angle of the sector with radius 3 cm is 120∘, then its area is:

Question 18Two numbers are in the ratio 5:6. If 8 is subtracted from each of the numbers, the ratio becomes 4:5, then find the numbers.

An electric pole, 14 metres high, casts a shadow of 10 metres. The height of a tower that casts a shadow of 300 metres under similar conditions is: (in metres)

Complétez avec les pré positions données.(de, à, au, d', aux, en)

Factorise: 8a3−b3−4ax+2bx

Categorize the following expressions based on the number of terms. a.u2v+2uuv−7uv2b.6x3yz2c.3s2+st+3t3

Three exterior angles of a hexagon are 40∘,51∘ and 86∘. If each of the remaining exterior angles is x∘, then x=___

What number should be added to (12+13−15) so as to get 3?

Find how many three digit natural numbers are divisible by 5.

If the selling price of 10 pens is the same as the cost price of 12 pens then gain per cent is (a) 2 % (b) 12 % (c) 20 % (d) 25 %

Find the digit for A in 6 1 A +1 A 5 ______ 8 0 3

The sum of a number and 2, multiplied by 3 gives 18. What is the number.

23. What is mean by rate constant

The sides of a triangle are 16 cm, 12 cm and 20 cm. Find: (i) Area of the triangle (ii) Height of the triangle, corresponding to the largest side (iii) Height of the triangle, corresponding to the smallest side.

16. Perform the following calculations to the appropriate number of significant figures. (6.02104.00)÷ (4.010)

The base area and the area of two adjacent walls of a rectangular box is known. The product of these areas is equal to

Find the square roots of 100 and 169 by the method of repeated subtraction.

Draw a number line and answer the following:If we are at –8 on the number line, in which direction should we move to reach –13?

We cut a corner of a cube as shown in the figure. The cut out piece is _________.

What fraction of fishes is not purple?

What is the value of (√3+√2)(√2+√3)?

12 men can dig a pond in 8 days. How many men can dig it in 6 days?

SiF4 is tetrahedral or square planar?

Acuboid is of dimensions 60 cm × 54 cm × 30 cm. How manysmall cubes with side 6 cm can be placed in the given cuboid?

If x varies directly with y,and x1 = 15, y1 = 16, x2 = 25, then find the value of y2.

Question 142Shaline has to cut out circles of diameter 114 cm from an aluminium strip of dimensions 834 cm by 114 cm. How many full circles can Shalini cut? Also, calculate the wastage of the aluminium strip.

Find the value of (66666)2.

The number of blankets manufactured on different days of a week is given as follows:The median of this data set is 28. For the given data set, choose the correct representation.

To construct a parallelogram, a minimum of how many measurements need to be provided?

In the given figure, AB equal to ___ units.

The shape of CO2 molecule is

In which of the following quadrilaterals diagonals do not bisect each other?