25365 + Interview Questions in Mathematics Page 197 InterviewSolution

9801.	ABCD is a rectangle , if ∠BPC=124∘ Calculate : (i) ∠BAP (ii) ∠ADP
Answer» $A B C D$ is a rectangle , if $∠ B P C = 124^{\circ}$ Calculate : $(i) ∠ B A P (i i) ∠ A D P$

9801.

ABCD is a rectangle , if ∠BPC=124∘ Calculate : (i) ∠BAP (ii) ∠ADP

Answer»

$A B C D$ is a rectangle , if $∠ B P C = 124^{\circ}$ Calculate : $(i) ∠ B A P (i i) ∠ A D P$

9802.	Question 2 (iv) Find the number of digits in the square root of each of the following numbers (without any calculation): 27225
Answer» Question 2 (iv) Find the number of digits in the square root of each of the following numbers (without any calculation): 27225

9802.

Question 2 (iv) Find the number of digits in the square root of each of the following numbers (without any calculation): 27225

Answer»

Question 2 (iv)
Find the number of digits in the square root of each of the following numbers (without any calculation):

27225

Discussion

9803.	State whether the statements are True or False. Question 26 For fixing a point from the graph sheet we need two coordinates.
Answer» State whether the statements are True or False. Question 26 For fixing a point from the graph sheet we need two coordinates.

Discussion

9804.	Question 47 In the question given below, fill in the blank to make the statement true: Volume of a rectangular box with length 2x, breadth 3y and height 4z is ___.
Answer» Question 47 In the question given below, fill in the blank to make the statement true: Volume of a rectangular box with length 2x, breadth 3y and height 4z is ___.

Discussion

9805.	What is square root of 400?
Answer» What is square root of 400?

Discussion

9806.	In order to complete a work in 28 days, 60 men are required. How many men will be required if the same work is to be completed in 40 days?
Answer» In order to complete a work in 28 days, 60 men are required. How many men will be required if the same work is to be completed in 40 days?

Discussion

9807.	Sajjanrao takes a loan of ₹ 10,000 from a bank at the rate of 10 % per annum for a year. How much money including the interest will he have to pay after a year?11000
Answer» Sajjanrao takes a loan of ₹ 10,000 from a bank at the rate of 10 % per annum for a year. How much money including the interest will he have to pay after a year? 11000

Discussion

9808.	The angle subtended by the diameter to any point on the circle is equal to degrees.
Answer» The angle subtended by the diameter to any point on the circle is equal to degrees.

Discussion

9809.	What is the diffrence between the interior and the exterior angle of a regular pentagon?
Answer» What is the diffrence between the interior and the exterior angle of a regular pentagon?

Discussion

9810.	For any three sets A, B and C, (A – B) ∩ (C – B) is equal to ____________.
Answer» For any three sets A, B and C, (A – B) ∩ (C – B) is equal to ____________.

Discussion

9811.	If ΔABC≅ΔPQR, then AB is equal to ___.
Answer» If $Δ A B C ≅ Δ P Q R,$ then AB is equal to ___.

9811.

If ΔABC≅ΔPQR, then AB is equal to ___.

Answer»

If $Δ A B C ≅ Δ P Q R,$ then AB is equal to ___.

Discussion

9812.	Enza deposits Rs 500 every month for 1 year in a recurring account of a bank and the bank pays Rs 6260 at end of one year. What is the rate of interest?
Answer» Enza deposits Rs 500 every month for 1 year in a recurring account of a bank and the bank pays Rs 6260 at end of one year. What is the rate of interest?

Discussion

9813.	The value of 612×1613 calculated using binomial multiplication is
Answer» The value of $6 \frac{1}{2} \times 16 \frac{1}{3}$ calculated using binomial multiplication is

Discussion

9814.	In the above figure, if AB∥PQ. Then, ∠BCR ___ ∠QRY.
Answer» In the above figure, if $A B ∥ P Q$ . Then, $∠ B C R$ ___ $∠ Q R Y$ .

9814.

In the above figure, if AB∥PQ. Then, ∠BCR ___ ∠QRY.

Answer»

In the above figure, if $A B ∥ P Q$ . Then, $∠ B C R$ ___ $∠ Q R Y$ .

Discussion

9815.	Between any two consecutive integers there is definitely a ______ .
Answer» Between any two consecutive integers there is definitely a ______ .

Discussion

9816.	9x^2-9 (a+b)x +(2a^2×5ab+2b^2)=0
Answer» 9x^2-9 (a+b)x +(2a^2×5ab+2b^2)=0

Discussion

9817.	A number is increased by 10% and then the increased number is decreased by 10% .find the net increase or decrease %
Answer» A number is increased by 10% and then the increased number is decreased by 10% .find the net increase or decrease %

Discussion

9818.	Which of the following equations has x = 5 as the solution?
Answer» Which of the following equations has x = 5 as the solution?

Discussion

9819.	A financial company claims that it charges only 20% interest on loans. But if a person takes out a loan of 100 rupees, he would get only 80 rupees, after subtracting the annual interest of 20 rupees at the outset. And he has to pay back 100 rupees after one year. What is their actual rate of interest?
Answer» A financial company claims that it charges only 20% interest on loans. But if a person takes out a loan of 100 rupees, he would get only 80 rupees, after subtracting the annual interest of 20 rupees at the outset. And he has to pay back 100 rupees after one year. What is their actual rate of interest?

Discussion

9820.	Question 2For each of the given solid, the three views are given. Identify for each solid the corresponding top, front and side views.
Answer» Question 2 For each of the given solid, the three views are given. Identify for each solid the corresponding top, front and side views.

Discussion

9821.	Find the value of √225+√121.
Answer» Find the value of $\sqrt{225} + \sqrt{121} .$

Discussion

9822.	A large watermelon weighs 20 kg with 96% of its weight being water. It is allowed to stand in the sun and due to water evaporation, only 95%, of its weight is water. Its reduced weight of the watermelon will be :
Answer» A large watermelon weighs 20 kg with 96% of its weight being water. It is allowed to stand in the sun and due to water evaporation, only 95%, of its weight is water. Its reduced weight of the watermelon will be :

Discussion

9823.	If A=3x2−4x+1,B=5x2+3x−8 and C=4x2−7x+3, then find:(i) (A+B)−C(ii) B+C−A(iii) A+B+C
Answer» If $A = 3 x^{2} - 4 x + 1, B = 5 x^{2} + 3 x - 8$ and $C = 4 x^{2} - 7 x + 3$ , then find: (i) $(A + B) - C$ (ii) $B + C - A$ (iii) $A + B + C$

Discussion

9824.	Question 3The scores (out of 100) obtained by 33 students in a mathematics test are as follows.69, 48, 84, 58, 48, 73, 83, 48, 66, 58, 84, 66, 64, 71, 64, 66, 69, 66, 83, 66, 69, 71, 81, 71, 73, 69, 66, 66, 64, 58, 64, 69, 69.Represent this data in the form of a frequency distribution.
Answer» Question 3 The scores (out of 100) obtained by 33 students in a mathematics test are as follows. 69, 48, 84, 58, 48, 73, 83, 48, 66, 58, 84, 66, 64, 71, 64, 66, 69, 66, 83, 66, 69, 71, 81, 71, 73, 69, 66, 66, 64, 58, 64, 69, 69. Represent this data in the form of a frequency distribution.

Discussion

9825.	Ram's television has channels 2 to 39. If he starts on channel 13 and surf's pushing the channel up button 407 times on what channel is the television when he stops?
Answer» Ram's television has channels 2 to 39. If he starts on channel 13 and surf's pushing the channel up button 407 times on what channel is the television when he stops?

Discussion

9826.	A bicycle dealer buys 30 Razorback cycles for ₹ 48000. Of these, 10 are with gears and the rest are without gears. At what price must he sell each geared cycle so that if he sells the non - geared ones at 3/4th of their cost price, he makes a profit of 40% on his total outlay.
Answer» A bicycle dealer buys 30 Razorback cycles for ₹ 48000. Of these, 10 are with gears and the rest are without gears. At what price must he sell each geared cycle so that if he sells the non - geared ones at 3/4th of their cost price, he makes a profit of 40% on his total outlay.

Discussion

9827.	Multiply 718 to the reciprocal of (−513). [2 MARKS]
Answer» Multiply $\frac{7}{18}$ to the reciprocal of $(\frac{- 5}{13})$ . [2 MARKS]

Discussion

9828.	Find the sqaure of 71.
Answer» Find the sqaure of 71.

Discussion

9829.	Question 63 If x varies inversely as y and x =20 when y =600, find y when x =400.
Answer» Question 63 If x varies inversely as y and x =20 when y =600, find y when x =400.

9829.

Question 63 If x varies inversely as y and x =20 when y =600, find y when x =400.

Answer»

Question 63

If x varies inversely as y and x =20 when y =600, find y when x =400.

Discussion

9830.	In division algorithm when should one stop the division process?1. When the remainder is zero.2. When the degree of the remainder is less than the degree of the divisor.3. When the degree of the quotient is less than the degree of the divisor.
Answer» In division algorithm when should one stop the division process? 1. When the remainder is zero. 2. When the degree of the remainder is less than the degree of the divisor. 3. When the degree of the quotient is less than the degree of the divisor.

Discussion

9831.	From which number should 867 be multiplied to get a perfect square
Answer» From which number should 867 be multiplied to get a perfect square

Discussion

9832.	What is the length of the side of a regular quadrilateral whose area is 16 sq. units?
Answer» What is the length of the side of a regular quadrilateral whose area is 16 sq. units?

Discussion

9833.	If x = −2 and y = 1, by using an identity find the value of the following(i) 4y2 − 9x2 (16y4 + 36x2y2+81x4)(ii) 2x-x2 4x2+x24+1(iii) 5y+15y 25y2-75+225y2
Answer» If x = −2 and y = 1, by using an identity find the value of the following (i) 4y^{2 −}9x² (16y⁴ + 36x²y²+81x⁴) (ii) $(\frac{2}{x} - \frac{x}{2}) (\frac{4}{x^{2}} + \frac{x^{2}}{4} + 1)$ (iii) $(5 y + \frac{15}{y}) (25 y^{2} - 75 + \frac{225}{y^{2}})$

Discussion

9834.	Construct a quadrilateral PQRS in which PQ=QR=5cm , angle P=100 degree, angle Q=80 degree and angle R=100 degree.Write the steps also
Answer» Construct a quadrilateral PQRS in which PQ=QR=5cm , angle P=100 degree, angle Q=80 degree and angle R=100 degree.Write the steps also

Discussion

9835.	{ The value of }\operatorname{log}_a1+\operatorname{log}_22^2+\operatorname{log}_33^3\operatorname{log}_a1}{+\operatorname{log}_22^2+\operatorname{log}_33^3 (where }a is a positive number }}{ and }a≠1) is
Answer» { The value of }\operatorname{log}_a1+\operatorname{log}_22^2+\operatorname{log}_33^3\operatorname{log}_a1}{+\operatorname{log}_22^2+\operatorname{log}_33^3 (where }a is a positive number }}{ and }a≠1) is

Discussion

9836.	Half the students of a class are dancing and three-fourths of the remaining are playing cricket. If the remaining 9 students are studying in the library, then find the total number of students in the class.
Answer» Half the students of a class are dancing and three-fourths of the remaining are playing cricket. If the remaining 9 students are studying in the library, then find the total number of students in the class.

Discussion

9837.	Question 21 The reciprocal of −38×(−713) is (a) 10421 (b) −10421 (c) 21104 (d) −21104
Answer» Question 21 The reciprocal of $\frac{- 3}{8} \times (\frac{- 7}{13})$ is (a) $\frac{104}{21}$ (b) $\frac{- 104}{21}$ (c) $\frac{21}{104}$ (d) $\frac{- 21}{104}$

Discussion

9838.	Find the square root of the complex number -15 -8i.
Answer» Find the square root of the complex number -15 -8i.

Discussion

9839.	In figure , ABCD and AEFG are two parallelograms. If ∠C=55∘, then determine ∠F.
Answer» In figure , ABCD and AEFG are two parallelograms. If $∠ C = 55^{\circ}$ , then determine $∠ F$ .

Discussion

9840.	How would you express 1000000 in exponential form?
Answer» How would you express 1000000 in exponential form?

Discussion

9841.	The lateral surface area of a cuboid is 480m2. Its height is 12m. The perimeter of its base is
Answer» The lateral surface area of a cuboid is 480 $m^{2}$ . Its height is 12m. The perimeter of its base is

Discussion

9842.	Let be a ray and let and be two rays on the same side of , with between and . Let be the bisector of ∠AOB. Prove that ∠XOA + ∠XOB = 2∠XOC.
Answer» Let be a ray and let and be two rays on the same side of , with between and . Let be the bisector of ∠AOB. Prove that ∠XOA + ∠XOB = 2∠XOC.

9842.

Let be a ray and let and be two rays on the same side of , with between and . Let be the bisector of ∠AOB. Prove that ∠XOA + ∠XOB = 2∠XOC.

Answer»

Let be a ray and let and be two rays on the same side of , with between and . Let be the bisector of ∠AOB. Prove that ∠XOA + ∠XOB = 2∠XOC.

Discussion

9843.	The following table gives the life times of neon lamps:Length (in hours)Number of lamps300−40014400−50056500−60060600−70086700−80074800−90062900−100048(i) Represent the given information with the help of a histogram.(ii) How many lamps have a life time of more than 700 hours?
Answer» The following table gives the life times of neon lamps: $\begin{matrix} Length (in hours) & Number of lamps 300 - 400 & 14 400 - 500 & 56 500 - 600 & 60 600 - 700 & 86 700 - 800 & 74 800 - 900 & 62 900 - 1000 & 48 \end{matrix}$ (i) Represent the given information with the help of a histogram. (ii) How many lamps have a life time of more than 700 hours?

Discussion

9844.	The HCF for x5, x3, x2+x is___
Answer» The HCF for $x^{5}$ , $x^{3}$ , $x^{2} + x$ is___

Discussion

9845.	Question 3Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game?
Answer» Question 3 Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game?

Discussion

9846.	What is the value of 8!5!?
Answer» What is the value of $\frac{8!}{5!} ?$

Discussion

9847.	A teacher wants to arrange 2,800 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 96 were left out after the arrangement.
Answer» A teacher wants to arrange 2,800 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 96 were left out after the arrangement.

Discussion

9848.	Find the value of : (14÷7)÷2= ____ 14÷(7÷2)= ____
Answer» Find the value of : $(14 \div 7) \div 2 =$ ____ $14 \div (7 \div 2) =$ ____

Discussion

9849.	If the ratio of areas of two equilateral congruent triangles of side length equal to 7 cm is xy, then find the value of x + y?[xy is a simple ratio]2
Answer» If the ratio of areas of two equilateral congruent triangles of side length equal to 7 cm is $\frac{x}{y}$ , then find the value of x + y?[ $\frac{x}{y}$ is a simple ratio] 2

Discussion

9850.	AB×6BBBA=___;B=___
Answer» $\begin{matrix} A B \times 6 B B B \end{matrix}$ A=___;B=___

Discussion

Explore topic-wise InterviewSolutions in .

ABCD is a rectangle , if ∠BPC=124∘ Calculate : (i) ∠BAP (ii) ∠ADP

Question 2 (iv) Find the number of digits in the square root of each of the following numbers (without any calculation): 27225

State whether the statements are True or False. Question 26 For fixing a point from the graph sheet we need two coordinates.

Question 47 In the question given below, fill in the blank to make the statement true: Volume of a rectangular box with length 2x, breadth 3y and height 4z is ___.

What is square root of 400?

In order to complete a work in 28 days, 60 men are required. How many men will be required if the same work is to be completed in 40 days?

Sajjanrao takes a loan of ₹ 10,000 from a bank at the rate of 10 % per annum for a year. How much money including the interest will he have to pay after a year?11000

The angle subtended by the diameter to any point on the circle is equal to degrees.

What is the diffrence between the interior and the exterior angle of a regular pentagon?

For any three sets A, B and C, (A – B) ∩ (C – B) is equal to ____________.

If ΔABC≅ΔPQR, then AB is equal to ___.

Enza deposits Rs 500 every month for 1 year in a recurring account of a bank and the bank pays Rs 6260 at end of one year. What is the rate of interest?

The value of 612×1613 calculated using binomial multiplication is

In the above figure, if AB∥PQ. Then, ∠BCR ___ ∠QRY.

Between any two consecutive integers there is definitely a ______ .

9x^2-9 (a+b)x +(2a^2×5ab+2b^2)=0

A number is increased by 10% and then the increased number is decreased by 10% .find the net increase or decrease %

Which of the following equations has x = 5 as the solution?

Question 2For each of the given solid, the three views are given. Identify for each solid the corresponding top, front and side views.

Find the value of √225+√121.

A large watermelon weighs 20 kg with 96% of its weight being water. It is allowed to stand in the sun and due to water evaporation, only 95%, of its weight is water. Its reduced weight of the watermelon will be :

If A=3x2−4x+1,B=5x2+3x−8 and C=4x2−7x+3, then find:(i) (A+B)−C(ii) B+C−A(iii) A+B+C

Question 3The scores (out of 100) obtained by 33 students in a mathematics test are as follows.69, 48, 84, 58, 48, 73, 83, 48, 66, 58, 84, 66, 64, 71, 64, 66, 69, 66, 83, 66, 69, 71, 81, 71, 73, 69, 66, 66, 64, 58, 64, 69, 69.Represent this data in the form of a frequency distribution.

Ram's television has channels 2 to 39. If he starts on channel 13 and surf's pushing the channel up button 407 times on what channel is the television when he stops?

A bicycle dealer buys 30 Razorback cycles for ₹ 48000. Of these, 10 are with gears and the rest are without gears. At what price must he sell each geared cycle so that if he sells the non - geared ones at 3/4th of their cost price, he makes a profit of 40% on his total outlay.

Multiply 718 to the reciprocal of (−513). [2 MARKS]

Find the sqaure of 71.

Question 63 If x varies inversely as y and x =20 when y =600, find y when x =400.

In division algorithm when should one stop the division process?1. When the remainder is zero.2. When the degree of the remainder is less than the degree of the divisor.3. When the degree of the quotient is less than the degree of the divisor.

From which number should 867 be multiplied to get a perfect square

What is the length of the side of a regular quadrilateral whose area is 16 sq. units?

If x = −2 and y = 1, by using an identity find the value of the following(i) 4y2 − 9x2 (16y4 + 36x2y2+81x4)(ii) 2x-x2 4x2+x24+1(iii) 5y+15y 25y2-75+225y2

Construct a quadrilateral PQRS in which PQ=QR=5cm , angle P=100 degree, angle Q=80 degree and angle R=100 degree.Write the steps also

{ The value of }\operatorname{log}_a1+\operatorname{log}_22^2+\operatorname{log}_33^3\operatorname{log}_a1}{+\operatorname{log}_22^2+\operatorname{log}_33^3 (where }a is a positive number }}{ and }a≠1) is

Half the students of a class are dancing and three-fourths of the remaining are playing cricket. If the remaining 9 students are studying in the library, then find the total number of students in the class.

Question 21 The reciprocal of −38×(−713) is (a) 10421 (b) −10421 (c) 21104 (d) −21104

Find the square root of the complex number -15 -8i.

In figure , ABCD and AEFG are two parallelograms. If ∠C=55∘, then determine ∠F.

How would you express 1000000 in exponential form?

The lateral surface area of a cuboid is 480m2. Its height is 12m. The perimeter of its base is

Let be a ray and let and be two rays on the same side of , with between and . Let be the bisector of ∠AOB. Prove that ∠XOA + ∠XOB = 2∠XOC.

The following table gives the life times of neon lamps:Length (in hours)Number of lamps300−40014400−50056500−60060600−70086700−80074800−90062900−100048(i) Represent the given information with the help of a histogram.(ii) How many lamps have a life time of more than 700 hours?

The HCF for x5, x3, x2+x is___

Question 3Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game?

What is the value of 8!5!?

A teacher wants to arrange 2,800 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 96 were left out after the arrangement.

Find the value of : (14÷7)÷2= ____ 14÷(7÷2)= ____

If the ratio of areas of two equilateral congruent triangles of side length equal to 7 cm is xy, then find the value of x + y?[xy is a simple ratio]2

AB×6BBBA=___;B=___

Find the value of : (14÷7)÷2= 14÷(7÷2)=

AB×6BBBA=_;B=_