25365 + Interview Questions in Mathematics Page 112 InterviewSolution

5551.	can the LCM be calculated through division algorithm
Answer» can the LCM be calculated through division algorithm

Discussion

5552.	B=\{1,\{2\},\{1,2,3,4\}\} then how many subsets are here
Answer» B=\{1,\{2\},\{1,2,3,4\}\} then how many subsets are here

Discussion

5553.	Question 88Ayesha announced a festival discount of 25% on all the items in her mobile phone shop. Ramandeep bought a mobile phone for himself. He got a discount of Rs.1960. What was the marked price of the mobile phone?
Answer» Question 88 Ayesha announced a festival discount of 25% on all the items in her mobile phone shop. Ramandeep bought a mobile phone for himself. He got a discount of Rs.1960. What was the marked price of the mobile phone?

5553.

Question 88Ayesha announced a festival discount of 25% on all the items in her mobile phone shop. Ramandeep bought a mobile phone for himself. He got a discount of Rs.1960. What was the marked price of the mobile phone?

Answer»

Question 88

Ayesha announced a festival discount of 25% on all the items in her mobile phone shop. Ramandeep bought a mobile phone for himself. He got a discount of Rs.1960. What was the marked price of the mobile phone?

Discussion

5554.	Simplifyand solve the linear equation
Answer» Simplify and solve the linear equation

Discussion

5555.	Factorise : y2−xy(1−x)−x3
Answer» Factorise : $y^{2} - x y (1 - x) - x^{3}$

Discussion

5556.	How to know if a number is a perfect cube?
Answer» How to know if a number is a perfect cube?

Discussion

5557.	To draw a perpendicular line through a point "P" not on the line. The fist step is draw the arcs centered at P and intersects the line at Q and R. If the perpendicular distance between line and point is 7 units. What could be the lengths of PQ and PR?
Answer» To draw a perpendicular line through a point "P" not on the line. The fist step is draw the arcs centered at P and intersects the line at Q and R. If the perpendicular distance between line and point is $7$ units. What could be the lengths of PQ and PR?

Discussion

5558.	21.In how many ways can a selection be made out if 5 oranges, 8 mangoes and 7 plantains?
Answer» 21.In how many ways can a selection be made out if 5 oranges, 8 mangoes and 7 plantains?

Discussion

5559.	Question 20(iii)Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is 1?
Answer» Question 20(iii) Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is 1?

Discussion

5560.	Suppose m and n are distinct integers. Can be an integer? Give reasons.
Answer» Suppose m and n are distinct integers. Can be an integer? Give reasons.

Discussion

5561.	Question 53State whether the following statement is true or false:The square root of 1521 is 31.
Answer» Question 53 State whether the following statement is true or false: The square root of 1521 is 31.

5561.

Question 53State whether the following statement is true or false:The square root of 1521 is 31.

Answer»

Question 53

State whether the following statement is true or false:

The square root of 1521 is 31.

Discussion

5562.	Question 43In the question given below, fill in the blank to make the statement true:Common factor of ax2+bx is ___
Answer» Question 43 In the question given below, fill in the blank to make the statement true: Common factor of $a x^{2} + b x$ is ___

Discussion

5563.	prove that \angle i=\angle
Answer» prove that \angle i=\angle

Discussion

5564.	What is the other name of platonic solids?
Answer» What is the other name of platonic solids?

Discussion

5565.	How to distinguish between a plane, a concave and a convex mirror without touching them?
Answer» How to distinguish between a plane, a concave and a convex mirror without touching them?

Discussion

5566.	Im(iz-2/z-1)+1=0,z belongs to C,z not equals to i represents a part of circle having radius equal to:
Answer» Im(iz-2/z-1)+1=0,z belongs to C,z not equals to i represents a part of circle having radius equal to:

Discussion

5567.	There are 500 children in a school .for a PT drill they have to stand in such a manner that the number of columns and he number of rows are equal.how many children are left out in this arrangement
Answer» There are 500 children in a school .for a PT drill they have to stand in such a manner that the number of columns and he number of rows are equal.how many children are left out in this arrangement

Discussion

5568.	Question 5What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 117? Perform the division to check your answer.
Answer» Question 5 What can the maximum number of digits be in the repeating block of digits in the decimal expansion of $\frac{1}{17}$ ? Perform the division to check your answer.

Discussion

5569.	In the centre of a rectangular lawn of dimensions 50 m × 40 m, a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184 m2. Find the length and breadth of the pond.
Answer» In the centre of a rectangular lawn of dimensions 50 m × 40 m, a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184 m². Find the length and breadth of the pond.

Discussion

5570.	A survey of students was made to know which game they like. The data obtained in the survey is presented in the adjacent pie diagram. If the total number of students are 1000,(1) How many students like cricket ?(2) How many students like football ?(3) How many students prefer other games ?
Answer» A survey of students was made to know which game they like. The data obtained in the survey is presented in the adjacent pie diagram. If the total number of students are 1000, (1) How many students like cricket ? (2) How many students like football ? (3) How many students prefer other games ?

Discussion

5571.	State whether the statements are True or False. Question 32The coordinates of the origin are (0,0).
Answer» State whether the statements are True or False. Question 32 The coordinates of the origin are (0,0).

Discussion

5572.	Question 1 (d)State whether true or false.(d) All squares are not parallelograms.
Answer» Question 1 (d) State whether true or false. (d) All squares are not parallelograms.

5572.

Question 1 (d)State whether true or false.(d) All squares are not parallelograms.

Answer»

Question 1 (d)

State whether true or false.

(d) All squares are not parallelograms.

Discussion

5573.	Question 3x−53=x−35
Answer» Question 3 $\frac{x - 5}{3} = \frac{x - 3}{5}$

Discussion

5574.	ABCD is quadrilateral in which diagonal BD is perpendicular to the side AB. If AB =4.5cm, AD =7.4 cm and the dis†an ce of C from BD is 1.5cm, then find the area of quadrilateral.
Answer» ABCD is quadrilateral in which diagonal BD is perpendicular to the side AB. If AB =4.5cm, AD =7.4 cm and the dis†an ce of C from BD is 1.5cm, then find the area of quadrilateral.

Discussion

5575.	Simplify the following using distributive property;(i). 25(19+25) (ii). 512(259+325) (iii). 89(112+29)
Answer» Simplify the following using distributive property; (i). $\frac{2}{5} (\frac{1}{9} + \frac{2}{5})$ (ii). $\frac{5}{12} (\frac{25}{9} + \frac{32}{5})$ (iii). $\frac{8}{9} (\frac{11}{2} + \frac{2}{9})$

5575.

Simplify the following using distributive property;(i). 25(19+25) (ii). 512(259+325) (iii). 89(112+29)

Answer»

Simplify the following using distributive property;
(i). $\frac{2}{5} (\frac{1}{9} + \frac{2}{5})$ (ii). $\frac{5}{12} (\frac{25}{9} + \frac{32}{5})$ (iii). $\frac{8}{9} (\frac{11}{2} + \frac{2}{9})$

Discussion

5576.	4yz(z2+6z−16)÷2y(z+8)=
Answer» $4 y z (z^{2} + 6 z - 16) \div 2 y (z + 8) =$

Discussion

5577.	A square is inscribed in a circle of area 2π unit2, as shown in figure. Another circle is inscribed in the square. Find the area of the shaded region.
Answer» A square is inscribed in a circle of area $2 π {unit}^{2},$ as shown in figure. Another circle is inscribed in the square. Find the area of the shaded region.

Discussion

5578.	What is the value of 10C8+10C2?
Answer» What is the value of $^{10} C_{8} +^{10} C_{2}$ ?

Discussion

5579.	The present population of a town is 25000. It grows at 4%,5% and 8% during first year, second year and third year respectively. Find its population after 3 years.
Answer» The present population of a town is 25000. It grows at $4 %, 5 %$ and $8 %$ during first year, second year and third year respectively. Find its population after 3 years.

Discussion

5580.	Question 32When principal P is compounded semi-annually at r% per annum for t years, then amount = ___
Answer» Question 32 When principal P is compounded semi-annually at r% per annum for t years, then amount = ___

5580.

Question 32When principal P is compounded semi-annually at r% per annum for t years, then amount = ___

Answer»

Question 32

When principal P is compounded semi-annually at r% per annum for t years, then amount = ___

Discussion

5581.	Find two consecutive positive integers, sum of whose squares is 613
Answer» Find two consecutive positive integers, sum of whose squares is 613

Discussion

5582.	1. If the radii of the ends of bucket,45 cm high are 28 cm and 7 cm.Find the capacity and the lateral surface area of the bucket
Answer» 1. If the radii of the ends of bucket,45 cm high are 28 cm and 7 cm.Find the capacity and the lateral surface area of the bucket

Discussion

5583.	Construct an angle of 45∘ at the initial point of a given ray and justify the construction.
Answer» Construct an angle of $45^{\circ}$ at the initial point of a given ray and justify the construction.

Discussion

5584.	27. if each side of parallelogram is increased by 50% then the overall increase in the area of parallelogram will equal to
Answer» 27. if each side of parallelogram is increased by 50% then the overall increase in the area of parallelogram will equal to

Discussion

5585.	Question 76State whether the following statement is true or false:The cube of a one-digit number cannot be a two-digit number.
Answer» Question 76 State whether the following statement is true or false: The cube of a one-digit number cannot be a two-digit number.

5585.

Question 76State whether the following statement is true or false:The cube of a one-digit number cannot be a two-digit number.

Answer»

Question 76

State whether the following statement is true or false:

The cube of a one-digit number cannot be a two-digit number.

Discussion

5586.	Question 1 (vii)What will be the unit digit of the squares of the following number:52698
Answer» Question 1 (vii) What will be the unit digit of the squares of the following number: 52698

5586.

Question 1 (vii)What will be the unit digit of the squares of the following number:52698

Answer»

Question 1 (vii)

What will be the unit digit of the squares of the following number:

52698

Discussion

5587.	Question 82025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.
Answer» Question 8 2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

Discussion

5588.	Question 88 (xiv)Factorise the following expression.2x2−2y+4xy−x
Answer» Question 88 (xiv) Factorise the following expression. $2 x^{2} - 2 y + 4 x y - x$

Discussion

5589.	The length of a rectangle is 5 cm more then its breath . If the length is decreased by 3 cm and breath decreased by 2 cm then area of the new rectangle is same as the area of the original rectangle. Find the dimensions of the original rectangle
Answer» The length of a rectangle is 5 cm more then its breath . If the length is decreased by 3 cm and breath decreased by 2 cm then area of the new rectangle is same as the area of the original rectangle. Find the dimensions of the original rectangle

Discussion

5590.	In △ABC,P divides AB in the ratio 3:5, and PQ∥BC. The length of PQ (in inches) is (All lengths are in inches)
Answer» In $△ A B C, P$ divides $A B$ in the ratio $3 : 5$ , and $P Q ∥ B C .$ The length of $P Q$ (in inches) is (All lengths are in inches)

Discussion

5591.	In the set of all rational numbers, give 2 examples each illustrating the following properties:(i) associativity; (ii) commutativity; (iii) distributivity of multiplication over addition.
Answer» In the set of all rational numbers, give 2 examples each illustrating the following properties: (i) associativity; (ii) commutativity; (iii) distributivity of multiplication over addition.

5591.

In the set of all rational numbers, give 2 examples each illustrating the following properties:(i) associativity; (ii) commutativity; (iii) distributivity of multiplication over addition.

Answer»

In the set of all rational numbers, give 2 examples each illustrating the following properties:

(i) associativity; (ii) commutativity; (iii) distributivity of multiplication over addition.

Discussion

5592.	Find the number of positive integers less than 500 with exactly 15 factors
Answer» Find the number of positive integers less than 500 with exactly 15 factors

Discussion

5593.	What is the value of (x-a)(x-b)(x-c)........(x-z)?
Answer» What is the value of (x-a)(x-b)(x-c)........(x-z)?

Discussion

5594.	A farmer has enough food to feed 20 cattle for 6 days. The number of days food will last if there were 10 more cattle is ___
Answer» A farmer has enough food to feed 20 cattle for 6 days. The number of days food will last if there were 10 more cattle is ___

Discussion

5595.	Evaluate:(i) (−234)÷13(ii) 234÷(−13)(iii) (−234)÷(−13)
Answer» Evaluate: (i) $(- 234) \div 13$ (ii) $234 \div (- 13)$ (iii) $(- 234) \div (- 13)$

Discussion

5596.	Draw a line MN = 5.8 cm. Locate a point A which is 4.5 cm from M and 5 cm from N. Through A draw a line parallel to line MN.
Answer» Draw a line MN = 5.8 cm. Locate a point A which is 4.5 cm from M and 5 cm from N. Through A draw a line parallel to line MN.

Discussion

5597.	Question 1Construct the Quadrilateral ABCD whereAB=4.5 cm, BC=5.5 cm, CD=4 cm,AD=6cm, AC=7 cm
Answer» Question 1 Construct the Quadrilateral ABCD where AB=4.5 cm, BC=5.5 cm, CD=4 cm,AD=6cm, AC=7 cm

Discussion

5598.	Find the product of (2x−3y) and (4x2+9y2+6xy).
Answer» Find the product of $(2 x - 3 y)$ and $(4 x^{2} + 9 y^{2} + 6 x y)$ .

Discussion

5599.	Rs. 8,000 is lent out at 7% compound interest for 2 years. At the end of the first year Rs. 3,560 are returned. Calculate : (i) the interest paid for the second year. (ii) the total interest paid in two years (iii) the total amount of money paid in two years to clear the debt.
Answer» Rs. 8,000 is lent out at 7% compound interest for 2 years. At the end of the first year Rs. 3,560 are returned. Calculate : (i) the interest paid for the second year. (ii) the total interest paid in two years (iii) the total amount of money paid in two years to clear the debt.

5599.

Rs. 8,000 is lent out at 7% compound interest for 2 years. At the end of the first year Rs. 3,560 are returned. Calculate : (i) the interest paid for the second year. (ii) the total interest paid in two years (iii) the total amount of money paid in two years to clear the debt.

Answer»

Rs. 8,000 is lent out at 7% compound interest for 2 years. At the end of the first year Rs. 3,560 are returned. Calculate :

(i) the interest paid for the second year.

(ii) the total interest paid in two years

(iii) the total amount of money paid in two years to clear the debt.

Discussion

5600.	A cube of side 16 cm is given. How many cubes of side 4 cm each will fit in the given cube?
Answer» A cube of side $16 cm$ is given. How many cubes of side $4 cm$ each will fit in the given cube?

Discussion

Explore topic-wise InterviewSolutions in .

can the LCM be calculated through division algorithm

B=\{1,\{2\},\{1,2,3,4\}\} then how many subsets are here

Question 88Ayesha announced a festival discount of 25% on all the items in her mobile phone shop. Ramandeep bought a mobile phone for himself. He got a discount of Rs.1960. What was the marked price of the mobile phone?

Simplifyand solve the linear equation

Factorise : y2−xy(1−x)−x3

How to know if a number is a perfect cube?

To draw a perpendicular line through a point "P" not on the line. The fist step is draw the arcs centered at P and intersects the line at Q and R. If the perpendicular distance between line and point is 7 units. What could be the lengths of PQ and PR?

21.In how many ways can a selection be made out if 5 oranges, 8 mangoes and 7 plantains?

Question 20(iii)Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is 1?

Suppose m and n are distinct integers. Can be an integer? Give reasons.

Question 53State whether the following statement is true or false:The square root of 1521 is 31.

Question 43In the question given below, fill in the blank to make the statement true:Common factor of ax2+bx is ___

prove that \angle i=\angle

What is the other name of platonic solids?

How to distinguish between a plane, a concave and a convex mirror without touching them?

Im(iz-2/z-1)+1=0,z belongs to C,z not equals to i represents a part of circle having radius equal to:

There are 500 children in a school .for a PT drill they have to stand in such a manner that the number of columns and he number of rows are equal.how many children are left out in this arrangement

Question 5What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 117? Perform the division to check your answer.

In the centre of a rectangular lawn of dimensions 50 m × 40 m, a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184 m2. Find the length and breadth of the pond.

A survey of students was made to know which game they like. The data obtained in the survey is presented in the adjacent pie diagram. If the total number of students are 1000,(1) How many students like cricket ?(2) How many students like football ?(3) How many students prefer other games ?

State whether the statements are True or False. Question 32The coordinates of the origin are (0,0).

Question 1 (d)State whether true or false.(d) All squares are not parallelograms.

Question 3x−53=x−35

ABCD is quadrilateral in which diagonal BD is perpendicular to the side AB. If AB =4.5cm, AD =7.4 cm and the dis†an ce of C from BD is 1.5cm, then find the area of quadrilateral.

Simplify the following using distributive property;(i). 25(19+25) (ii). 512(259+325) (iii). 89(112+29)

4yz(z2+6z−16)÷2y(z+8)=

A square is inscribed in a circle of area 2π unit2, as shown in figure. Another circle is inscribed in the square. Find the area of the shaded region.

What is the value of 10C8+10C2?

The present population of a town is 25000. It grows at 4%,5% and 8% during first year, second year and third year respectively. Find its population after 3 years.

Question 32When principal P is compounded semi-annually at r% per annum for t years, then amount = ___

Find two consecutive positive integers, sum of whose squares is 613

1. If the radii of the ends of bucket,45 cm high are 28 cm and 7 cm.Find the capacity and the lateral surface area of the bucket

Construct an angle of 45∘ at the initial point of a given ray and justify the construction.

27. if each side of parallelogram is increased by 50% then the overall increase in the area of parallelogram will equal to

Question 76State whether the following statement is true or false:The cube of a one-digit number cannot be a two-digit number.

Question 1 (vii)What will be the unit digit of the squares of the following number:52698

Question 82025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

Question 88 (xiv)Factorise the following expression.2x2−2y+4xy−x

The length of a rectangle is 5 cm more then its breath . If the length is decreased by 3 cm and breath decreased by 2 cm then area of the new rectangle is same as the area of the original rectangle. Find the dimensions of the original rectangle

In △ABC,P divides AB in the ratio 3:5, and PQ∥BC. The length of PQ (in inches) is (All lengths are in inches)

In the set of all rational numbers, give 2 examples each illustrating the following properties:(i) associativity; (ii) commutativity; (iii) distributivity of multiplication over addition.

Find the number of positive integers less than 500 with exactly 15 factors

What is the value of (x-a)(x-b)(x-c)........(x-z)?

A farmer has enough food to feed 20 cattle for 6 days. The number of days food will last if there were 10 more cattle is ___

Evaluate:(i) (−234)÷13(ii) 234÷(−13)(iii) (−234)÷(−13)

Draw a line MN = 5.8 cm. Locate a point A which is 4.5 cm from M and 5 cm from N. Through A draw a line parallel to line MN.

Question 1Construct the Quadrilateral ABCD whereAB=4.5 cm, BC=5.5 cm, CD=4 cm,AD=6cm, AC=7 cm

Find the product of (2x−3y) and (4x2+9y2+6xy).

Rs. 8,000 is lent out at 7% compound interest for 2 years. At the end of the first year Rs. 3,560 are returned. Calculate : (i) the interest paid for the second year. (ii) the total interest paid in two years (iii) the total amount of money paid in two years to clear the debt.

A cube of side 16 cm is given. How many cubes of side 4 cm each will fit in the given cube?