25365 + Interview Questions in Mathematics Page 205 InterviewSolution

10201.	Ramesh invests ₹ 12800 for three years at the rate of 10% per annum compounded annually. Find the sum Ramesh receives at the end of the first year.
Answer» Ramesh invests ₹ 12800 for three years at the rate of $10 %$ per annum compounded annually. Find the sum Ramesh receives at the end of the first year.

Discussion

10202.	Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal.
Answer» Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal.

Discussion

10203.	two physical quantities A and B have different dimensions .which mathematical operation given below is physically possible? 1)rootAB 2)A(1+B) 3)A-B 4)A+B
Answer» two physical quantities A and B have different dimensions .which mathematical operation given below is physically possible? 1)rootAB 2)A(1+B) 3)A-B 4)A+B

Discussion

10204.	Sketch the region in a coordinate system set up by you.
Answer» Sketch the region in a coordinate system set up by you.

Discussion

10205.	What is the length of the longest chord (in cm) of a circle whose centre is at a distance 4 cm from its circumference? ___
Answer» What is the length of the longest chord (in cm) of a circle whose centre is at a distance 4 cm from its circumference? ___

Discussion

10206.	Fill in the blank with an appropriate verb. The shelves _____ by the carpenter were symmetrical.
Answer» Fill in the blank with an appropriate verb. The shelves _____ by the carpenter were symmetrical.

10206.

Fill in the blank with an appropriate verb. The shelves _____ by the carpenter were symmetrical.

Answer»

Fill in the blank with an appropriate verb.

The shelves _____ by the carpenter were symmetrical.

Discussion

10207.	Which of the following nets can be folded to form a cone?
Answer» Which of the following nets can be folded to form a cone?

Discussion

10208.	Find the area of a rhombus whose perimeter is 80m and one of whose diagonal is 24m.
Answer» Find the area of a rhombus whose perimeter is 80m and one of whose diagonal is 24m.

Discussion

10209.	How many edges are there for a prism with hexagonal base?
Answer» How many edges are there for a prism with hexagonal base?

Discussion

10210.	Integrate the followings w.r.t x(1) (x⁴+x²+1)/(x²-x+1)(2) (2x³-7x+2)/(x³+2x²)
Answer» Integrate the followings w.r.t x (1) (x⁴+x²+1)/(x²-x+1) (2) (2x³-7x+2)/(x³+2x²)

Discussion

10211.	A military tent of height 8.25 m is in the form of a right circular cylinder of base diameter 30 m and height 5.5 m surmounted by a right circular cone of same base radius. Find the length of canvas used in making the tent, if the breadth of the canvas is 1.5 m.
Answer» A military tent of height 8.25 m is in the form of a right circular cylinder of base diameter 30 m and height 5.5 m surmounted by a right circular cone of same base radius. Find the length of canvas used in making the tent, if the breadth of the canvas is 1.5 m.

Discussion

10212.	Simplify 1x+p+1x+q+1x+r+pxx3+px2+qxx3+qx2+rxx3+rx2
Answer» Simplify $\frac{1}{x + p} + \frac{1}{x + q} + \frac{1}{x + r} + \frac{p x}{x^{3} + p x^{2}} + \frac{q x}{x^{3} + q x^{2}} + \frac{r x}{x^{3} + r x^{2}}$

Discussion

10213.	Parallelogram with one side 5 centimetres; diagonals 8 centimetres and 6 centimetres.
Answer» Parallelogram with one side 5 centimetres; diagonals 8 centimetres and 6 centimetres.

10213.

Parallelogram with one side 5 centimetres; diagonals 8 centimetres and 6 centimetres.

Answer»

Parallelogram with one side 5 centimetres; diagonals 8 centimetres and 6 centimetres.

Discussion

10214.	In exchange of a square plot one of whose sides is 84 m,a man wants to buy a rectangular plot 144 m long and of the same area as of the square plot.Find the width of the rectangular plot.
Answer» In exchange of a square plot one of whose sides is 84 m,a man wants to buy a rectangular plot 144 m long and of the same area as of the square plot.Find the width of the rectangular plot.

Discussion

10215.	Question 36 Match the ordinates of the points given in Column A with the items mentioned in Column B. Column A Column Ba. (7,0)(i) The ordinate is double the abscissa.b. (11,11)(ii) The ordinate is zero.c. (4,8)(iii) The ordinate is equal to the abscissa.d. (6,2)(iv) The abscissa is double the ordinate.e. (0,9)(v) The abscissa is triple the ordinate.f. (6,3)(vi) The abscissa is zero.
Answer» Question 36 Match the ordinates of the points given in Column A with the items mentioned in Column B. $\begin{matrix} C o l u m n A & C o l u m n B a . & (7,0) & (i) The ordinate is double the abscissa. b . & (11,11) & (ii) The ordinate is zero. c . & (4,8) & (iii) The ordinate is equal to the abscissa. d . & (6,2) & (iv) The abscissa is double the ordinate. e . & (0,9) & (v) The abscissa is triple the ordinate. f . & (6,3) & (vi) The abscissa is zero. \end{matrix}$

Discussion

10216.	What is the probability of not picking a king if you choose randomly from a pack of 52 cards?
Answer» What is the probability of not picking a king if you choose randomly from a pack of 52 cards?

Discussion

10217.	A student gets 3 marks for answering a question correctly and loses 1 mark for answering it wrong. Suppose, he answers 5 correct questions and 2 wrong questions, then the total marks scored by him is ___
Answer» A student gets 3 marks for answering a question correctly and loses 1 mark for answering it wrong. Suppose, he answers 5 correct questions and 2 wrong questions, then the total marks scored by him is ___

Discussion

10218.	विभिन्न परिस्थितियों में भाषा का प्रयोग भी अपना रूप बदलता रहता है कभी औपचारिक रूप में आती है, तो कभी अनौपचारिक रूप में। पाठ में से दोनों प्रकार के तीन-तीन उदाहरण छाँटकर लिखिए।
Answer» विभिन्न परिस्थितियों में भाषा का प्रयोग भी अपना रूप बदलता रहता है कभी औपचारिक रूप में आती है, तो कभी अनौपचारिक रूप में। पाठ में से दोनों प्रकार के तीन-तीन उदाहरण छाँटकर लिखिए।

Discussion

10219.	If you translate the given △ABC 2 units up, the coordinates of point A and point B in the translated triangle will be & respectively.
Answer» If you translate the given $△ A B C$ $2$ units up, the coordinates of point $A$ and point $B$ in the translated triangle will be & respectively.

Discussion

10220.	Is 336 a perfect square ?
Answer» Is 336 a perfect square ?

Discussion

10221.	how omega square= pE/I
Answer» how omega square= pE/I

Discussion

10222.	A boat is moving in a river, downstream, whose stream has speed 8 km per hour. The speed of the motor of the boat is 22 km per hour. Draw the graph of the distance covered by the boat versus hour
Answer» A boat is moving in a river, downstream, whose stream has speed 8 km per hour. The speed of the motor of the boat is 22 km per hour. Draw the graph of the distance covered by the boat versus hour

Discussion

10223.	Sum of measures of internal angles of a quadrilateral is
Answer» Sum of measures of internal angles of a quadrilateral is

Discussion

10224.	In the figure, if TD∥PO∥CH, then which of the following are true.
Answer» In the figure, if $T D ∥ P O ∥ C H,$ then which of the following are true.

Discussion

10225.	Find the next term in the pattern.81, 84, 27, 252, 9, 756
Answer» Find the next term in the pattern. 81, 84, 27, 252, 9, 756

Discussion

10226.	In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles A and C respectively. Show that AE \|\| CF.
Answer» In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles A and C respectively. Show that AE \|\| CF.

10226.

In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles A and C respectively. Show that AE || CF.

Answer»

In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles A and C respectively. Show that AE || CF.

Discussion

10227.	1.2×10^{-6}+3.6×10^{29 } will be
Answer» 1.2×10^{-6}+3.6×10^{29 } will be

Discussion

10228.	Simplify (15)−3−(13)−4(14)−3.
Answer» Simplify $\frac{(\frac{1}{5})^{- 3} - (\frac{1}{3})^{- 4}}{(\frac{1}{4})^{- 3}} .$

Discussion

10229.	The blood groups of 30 students of Class VIII are recoded as follows: A,B, O, O,AB,O,A,O,B, A, O, B,A,O, O, A,AB, O, A, A, O,O, AB, B,A,O, B,A,B,O.Represent this data in the form of frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?
Answer» The blood groups of 30 students of Class VIII are recoded as follows: A,B, O, O,AB,O,A,O,B, A, O, B,A,O, O, A,AB, O, A, A, O,O, AB, B,A,O, B,A,B,O. Represent this data in the form of frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?

Discussion

10230.	6. What is the angle between (i cap+j cap ) and (k cap +j cap)?
Answer» 6. What is the angle between (i cap+j cap ) and (k cap +j cap)?

Discussion

10231.	Four congruent rectangles are placed as shown in the figure. Area of the outer square is 4 times that of the inner square.What is the ratio of length to breadth of the congruent rectangles?
Answer» Four congruent rectangles are placed as shown in the figure. Area of the outer square is 4 times that of the inner square. What is the ratio of length to breadth of the congruent rectangles?

10231.

Four congruent rectangles are placed as shown in the figure. Area of the outer square is 4 times that of the inner square.What is the ratio of length to breadth of the congruent rectangles?

Answer»

Four congruent rectangles are placed as shown in the figure. Area of the outer square is 4 times that of the inner square.

What is the ratio of length to breadth of the congruent rectangles?

Discussion

10232.	Factorise each of the following algebraic expressions:(i) 3x+15 (ii) 2x2+5x (iii) 3x2y−6xy2
Answer» Factorise each of the following algebraic expressions: (i) $3 x + 15$ (ii) $2 x^{2} + 5 x$ (iii) $3 x^{2} y - 6 x y^{2}$

Discussion

10233.	If the lines y=4−3x, ay=x+10, 2y+bx+9=0 represent three consecutive sides of a rectangle and the fourth side passes through (1,−2), then its area (in sq. units) is equal to
Answer» If the lines $y = 4 - 3 x,$ $a y = x + 10,$ $2 y + b x + 9 = 0$ represent three consecutive sides of a rectangle and the fourth side passes through $(1, - 2),$ then its area (in sq. units) is equal to

Discussion

10234.	Simplify : 5+22.
Answer» Simplify : ${(\sqrt{5} + \sqrt{2})}^{2} .$

Discussion

10235.	33.(x -26)(53+52)/53-52=1
Answer» 33.(x -26)(53+52)/53-52=1

Discussion

10236.	Find the solution for the following pair of equations2y+x=43y−12x=2
Answer» Find the solution for the following pair of equations $2 y + x = 4$ $3 y - \frac{1}{2} x = 2$

Discussion

10237.	Question 3Plot the points (x,y) given by the following table.x24−3−230y4205−30
Answer» Question 3 Plot the points (x,y) given by the following table. $\begin{matrix} x & 2 & 4 & - 3 & - 2 & 3 & 0 y & 4 & 2 & 0 & 5 & - 3 & 0 \end{matrix}$

Discussion

10238.	8 pumps can fill a tank in 20 mins. How much time will it take to fill the tank if only 5 of them are engaged?
Answer» 8 pumps can fill a tank in 20 mins. How much time will it take to fill the tank if only 5 of them are engaged?

Discussion

10239.	Draw a frequency table for the data of the last number of 13 phone numbers.4,5,6,7,6.5,4,5,6,7,8,7,6.
Answer» Draw a frequency table for the data of the last number of 13 phone numbers. 4,5,6,7,6.5,4,5,6,7,8,7,6.

Discussion

10240.	Compute the following differences (10.4×9.6)−(10.6×9.4)
Answer» Compute the following differences $(10.4 \times 9.6) - (10.6 \times 9.4)$

Discussion

10241.	Question 2 (iv)Write the point identified by the coordinates (2, -4).
Answer» Question 2 (iv) Write the point identified by the coordinates (2, -4).

10241.

Question 2 (iv)Write the point identified by the coordinates (2, -4).

Answer»

Question 2 (iv)

Write the point identified by the coordinates (2, -4).

Discussion

10242.	Find the area of four walls of a room having length, breadth and height as 8 m, 5 m and 3 m respectively. Find the cost of white-washing the walls at the rate of Rs. 15/m2.
Answer» Find the area of four walls of a room having length, breadth and height as 8 m, 5 m and 3 m respectively. Find the cost of white-washing the walls at the rate of Rs. 15/m².

Discussion

10243.	The number of six letter words (with or without meaning), formed using all the letters of the word ′VOWELS′, so that all the consonants never come together, is
Answer» The number of six letter words (with or without meaning), formed using all the letters of the word $^{'} V O W E L S^{'},$ so that all the consonants never come together, is

Discussion

10244.	Find the value x from the given table :X100250200501251000440Y2081040x25005016
Answer» Find the value $x$ from the given table : $\begin{matrix} X & 100 & 250 & 200 & 50 & 125 & 1000 & 4 & 40 Y & 20 & 8 & 10 & 40 & x & 2 & 500 & 50 \end{matrix}$ 16

Discussion

10245.	In a regular polygon if the ratio of inner and outer angle is 7:2, then find the number of sides in the polygon.
Answer» In a regular polygon if the ratio of inner and outer angle is 7:2, then find the number of sides in the polygon.

Discussion

10246.	How to make an equation balance
Answer» How to make an equation balance

Discussion

10247.	The value of (59)2 by visualizing the identity (a−b)2=a2−2ab+b2 is .
Answer» The value of $(59)^{2}$ by visualizing the identity $(a - b)^{2} = a^{2} - 2 a b + b^{2}$ is .

Discussion

10248.	A function satisfies the equation y=3x2−5x+12Which of the following mapping diagram is true for the function?
Answer» A function satisfies the equation $y = {3x}^{2} - 5 x + 12$ Which of the following mapping diagram is true for the function?

Discussion

10249.	How many rational numbers are there strictly between 0 and 1 with the property that the sum of the numerator and denominator is 70?
Answer» How many rational numbers are there strictly between 0 and 1 with the property that the sum of the numerator and denominator is 70?

10249.

How many rational numbers are there strictly between 0 and 1 with the property that the sum of the numerator and denominator is 70?

Answer»

How many rational numbers are there strictly between 0 and 1 with the property that the sum of the numerator and denominator is 70?

Discussion

10250.	Rohan and Shalu are playing with 5 cards as shown in the given figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it?
Answer» Rohan and Shalu are playing with 5 cards as shown in the given figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it?

Discussion

Explore topic-wise InterviewSolutions in .

Ramesh invests ₹ 12800 for three years at the rate of 10% per annum compounded annually. Find the sum Ramesh receives at the end of the first year.

Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal.

two physical quantities A and B have different dimensions .which mathematical operation given below is physically possible? 1)rootAB 2)A(1+B) 3)A-B 4)A+B

Sketch the region in a coordinate system set up by you.

What is the length of the longest chord (in cm) of a circle whose centre is at a distance 4 cm from its circumference? ___

Fill in the blank with an appropriate verb. The shelves _____ by the carpenter were symmetrical.

Which of the following nets can be folded to form a cone?

Find the area of a rhombus whose perimeter is 80m and one of whose diagonal is 24m.

How many edges are there for a prism with hexagonal base?

Integrate the followings w.r.t x(1) (x⁴+x²+1)/(x²-x+1)(2) (2x³-7x+2)/(x³+2x²)

A military tent of height 8.25 m is in the form of a right circular cylinder of base diameter 30 m and height 5.5 m surmounted by a right circular cone of same base radius. Find the length of canvas used in making the tent, if the breadth of the canvas is 1.5 m.

Simplify 1x+p+1x+q+1x+r+pxx3+px2+qxx3+qx2+rxx3+rx2

Parallelogram with one side 5 centimetres; diagonals 8 centimetres and 6 centimetres.

In exchange of a square plot one of whose sides is 84 m,a man wants to buy a rectangular plot 144 m long and of the same area as of the square plot.Find the width of the rectangular plot.

What is the probability of not picking a king if you choose randomly from a pack of 52 cards?

A student gets 3 marks for answering a question correctly and loses 1 mark for answering it wrong. Suppose, he answers 5 correct questions and 2 wrong questions, then the total marks scored by him is ___

If you translate the given △ABC 2 units up, the coordinates of point A and point B in the translated triangle will be & respectively.

Is 336 a perfect square ?

how omega square= pE/I

A boat is moving in a river, downstream, whose stream has speed 8 km per hour. The speed of the motor of the boat is 22 km per hour. Draw the graph of the distance covered by the boat versus hour

Sum of measures of internal angles of a quadrilateral is

In the figure, if TD∥PO∥CH, then which of the following are true.

Find the next term in the pattern.81, 84, 27, 252, 9, 756

In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles A and C respectively. Show that AE || CF.

1.2×10^{-6}+3.6×10^{29 } will be

Simplify (15)−3−(13)−4(14)−3.

The blood groups of 30 students of Class VIII are recoded as follows: A,B, O, O,AB,O,A,O,B, A, O, B,A,O, O, A,AB, O, A, A, O,O, AB, B,A,O, B,A,B,O.Represent this data in the form of frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?

6. What is the angle between (i cap+j cap ) and (k cap +j cap)?

Four congruent rectangles are placed as shown in the figure. Area of the outer square is 4 times that of the inner square.What is the ratio of length to breadth of the congruent rectangles?

Factorise each of the following algebraic expressions:(i) 3x+15 (ii) 2x2+5x (iii) 3x2y−6xy2

If the lines y=4−3x, ay=x+10, 2y+bx+9=0 represent three consecutive sides of a rectangle and the fourth side passes through (1,−2), then its area (in sq. units) is equal to

Simplify : 5+22.

33.(x -26)(53+52)/53-52=1

Find the solution for the following pair of equations2y+x=43y−12x=2

Question 3Plot the points (x,y) given by the following table.x24−3−230y4205−30

8 pumps can fill a tank in 20 mins. How much time will it take to fill the tank if only 5 of them are engaged?

Draw a frequency table for the data of the last number of 13 phone numbers.4,5,6,7,6.5,4,5,6,7,8,7,6.

Compute the following differences (10.4×9.6)−(10.6×9.4)

Question 2 (iv)Write the point identified by the coordinates (2, -4).

Find the area of four walls of a room having length, breadth and height as 8 m, 5 m and 3 m respectively. Find the cost of white-washing the walls at the rate of Rs. 15/m2.

The number of six letter words (with or without meaning), formed using all the letters of the word ′VOWELS′, so that all the consonants never come together, is

Find the value x from the given table :X100250200501251000440Y2081040x25005016

In a regular polygon if the ratio of inner and outer angle is 7:2, then find the number of sides in the polygon.

How to make an equation balance

The value of (59)2 by visualizing the identity (a−b)2=a2−2ab+b2 is .

A function satisfies the equation y=3x2−5x+12Which of the following mapping diagram is true for the function?

How many rational numbers are there strictly between 0 and 1 with the property that the sum of the numerator and denominator is 70?

Rohan and Shalu are playing with 5 cards as shown in the given figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it?