25365 + Interview Questions in Mathematics Page 79 InterviewSolution

3901.	The sum of the third and the seventh terms of an AP is 6 and theirproduct is 8. Find the sum of first sixteen terms of the AP .
Answer» The sum of the third and the seventh terms of an $A P$ is $6$ and their product is $8$ . Find the sum of first sixteen terms of the $A P$ .

Discussion

3902.	Find the cube fo the following numbers by column method: (i) 35 (ii) 56 (iii) 72
Answer» Find the cube fo the following numbers by column method: (i) 35 (ii) 56 (iii) 72

3902.

Find the cube fo the following numbers by column method: (i) 35 (ii) 56 (iii) 72

Answer»

Find the cube fo the following numbers by column method:
(i) 35 (ii) 56 (iii) 72

Discussion

3903.	Expand:
Answer» Expand:

3903.

Expand:

Answer»

Expand:

Discussion

3904.	Question 86 (x) Using suitable identities, evaluate the following: 104×97
Answer» Question 86 (x) Using suitable identities, evaluate the following: $104 \times 97$

3904.

Question 86 (x) Using suitable identities, evaluate the following: 104×97

Answer»

Question 86 (x)

Using suitable identities, evaluate the following:

$104 \times 97$

Discussion

3905.	Construct a quadrilateral ABCD, with AB = 4.0 cm, BC = 4.5 cm, CD = 4.7 cm, ∠B=60∘ and ∠A=120∘ [4 MARKS]
Answer» Construct a quadrilateral ABCD, with AB = 4.0 cm, BC = 4.5 cm, CD = 4.7 cm, $∠ B = 60^{\circ}$ and $∠ A = 120^{\circ}$ [4 MARKS]

Discussion

3906.	7. If x=cube root of 3,y=fourth root of 4,z=sixth root of 6,then 1) x
Answer» 7. If x=cube root of 3,y=fourth root of 4,z=sixth root of 6,then 1) x

Discussion

3907.	Which of the following numbers is divisible by 99?
Answer» Which of the following numbers is divisible by 99?

Discussion

3908.	Find f(17) for the function y = 7x - 2.
Answer» Find f(17) for the function y = 7x - 2.

Discussion

3909.	The ratio of cost price and selling price of an article is 20 : 21. What is the gain per cent on it ? (a) 5 % (b) 514% (c) 6 % (d) 614%
Answer» The ratio of cost price and selling price of an article is 20 : 21. What is the gain per cent on it ? (a) 5 % (b) $5 \frac{1}{4} %$ (c) 6 % (d) $6 \frac{1}{4} %$

3909.

The ratio of cost price and selling price of an article is 20 : 21. What is the gain per cent on it ? (a) 5 % (b) 514% (c) 6 % (d) 614%

Answer»

The ratio of cost price and selling price of an article is 20 : 21. What is the gain per cent on it ?

(a) 5 %

(b) $5 \frac{1}{4} %$

(c) 6 %

(d) $6 \frac{1}{4} %$

Discussion

3910.	A works twice as fast as B. If B can complete a work in 24 days independently, the number of days in which A and B can together finish the work is?
Answer» A works twice as fast as B. If B can complete a work in 24 days independently, the number of days in which A and B can together finish the work is?

Discussion

3911.	16. The complex numbers z1,z2,z3 are the vertices of a triangle . Then the complex number z which make the triangle into parallelogram is A)z1+z2-z3. B)z1-z2+z3 C)z2+z3-z1. D) all of these
Answer» 16. The complex numbers z1,z2,z3 are the vertices of a triangle . Then the complex number z which make the triangle into parallelogram is A)z1+z2-z3. B)z1-z2+z3 C)z2+z3-z1. D) all of these

Discussion

3912.	What must be added to (x3+3x−8) to get (3x3+x2+6)?
Answer» What must be added to $(x^{3} + 3 x - 8)$ to get $(3 x^{3} + x^{2} + 6)$ ?

Discussion

3913.	If y = x x, then dydxx=-1=______________________.
Answer» If y = x $\|x\|, then {(\frac{d y}{d x})}_{x = - 1} =______________________.$

Discussion

3914.	There are ______ perfect squares less than 100.
Answer» There are ______ perfect squares less than 100.

Discussion

3915.	N=25^47+36^9 what is the last two digits of N
Answer» N=25^47+36^9 what is the last two digits of N

Discussion

3916.	Two parallel chords are drawn on either side of the centre of a circle of diameter 30 cm. If the length of one chord is 24 cm and the distance between the two chords is 21 cm, then find the length of another chord.
Answer» Two parallel chords are drawn on either side of the centre of a circle of diameter 30 cm. If the length of one chord is 24 cm and the distance between the two chords is 21 cm, then find the length of another chord.

Discussion

3917.	Solve the following linear equation 3x+5y=18 6x+10y=48
Answer» Solve the following linear equation 3x+5y=18 6x+10y=48

3917.

Solve the following linear equation 3x+5y=18 6x+10y=48

Answer»

Solve the following linear equation

3x+5y=18

6x+10y=48

Discussion

3918.	(f × 100) + (d × 10) + e, if written as a three digit number, will be _____ .
Answer» (f × 100) + (d × 10) + e, if written as a three digit number, will be _____ .

Discussion

3919.	The cost of painting the whole surface area of a cube at the rate of 13 paise per cm2 is ₹343.98. Then, find the volume of the cube.
Answer» The cost of painting the whole surface area of a cube at the rate of 13 paise per cm² is ₹343.98. Then, find the volume of the cube.

Discussion

3920.	What is meant by plotting of numbers
Answer» What is meant by plotting of numbers

Discussion

3921.	The area of a square is given by the formula A = c2. What will be the total area of 64 such similar squares, if the side of a square is 8 ft? Express the final area with 2 as the base and some exponent.
Answer» The area of a square is given by the formula A = $c^{2}$ . What will be the total area of 64 such similar squares, if the side of a square is 8 ft? Express the final area with 2 as the base and some exponent.

Discussion

3922.	If the present petrol price is ₹ 50, then what is the new price when:i) there is an increase in 20% on the original price?ii) there is a decrease in 10% on the original price?
Answer» If the present petrol price is ₹ 50, then what is the new price when: i) there is an increase in 20% on the original price? ii) there is a decrease in 10% on the original price?

3922.

If the present petrol price is ₹ 50, then what is the new price when:i) there is an increase in 20% on the original price?ii) there is a decrease in 10% on the original price?

Answer»

If the present petrol price is ₹ 50, then what is the new price when:

i) there is an increase in 20% on the original price?

ii) there is a decrease in 10% on the original price?

Discussion

3923.	With all the numbers celebrating the return of 0, the sun began to rise in the new world as morning approached. Suddenly, Ted heard his mom’s voice “Wake up.. You are going to be late for school today..” What? When? How?" Yeah, you guessed it right, it was a dream. Ted got ready for school, his bus arrived. His house is beside MG Road, which leads straight to school. His school is 19 blocks forward from Forum mall and his house is 5 blocks backward to Forum mall. What is the expression that will give the distance between Ted's house and his school?
Answer» With all the numbers celebrating the return of $0$ , the sun began to rise in the new world as morning approached. Suddenly, Ted heard his mom’s voice “Wake up.. You are going to be late for school today..” What? When? How?" Yeah, you guessed it right, it was a dream. Ted got ready for school, his bus arrived. His house is beside MG Road, which leads straight to school. His school is $19$ blocks forward from Forum mall and his house is $5$ blocks backward to Forum mall. What is the expression that will give the distance between Ted's house and his school?

3923.

With all the numbers celebrating the return of 0, the sun began to rise in the new world as morning approached. Suddenly, Ted heard his mom’s voice “Wake up.. You are going to be late for school today..” What? When? How?" Yeah, you guessed it right, it was a dream. Ted got ready for school, his bus arrived. His house is beside MG Road, which leads straight to school. His school is 19 blocks forward from Forum mall and his house is 5 blocks backward to Forum mall. What is the expression that will give the distance between Ted's house and his school?

Answer»

With all the numbers celebrating the return of $0$ , the sun began to rise in the new world as morning approached. Suddenly, Ted heard his mom’s voice “Wake up.. You are going to be late for school today..” What? When? How?"
Yeah, you guessed it right, it was a dream. Ted got ready for school, his bus arrived. His house is beside MG Road, which leads straight to school. His school is $19$ blocks forward from Forum mall and his house is $5$ blocks backward to Forum mall. What is the expression that will give the distance between Ted's house and his school?

Discussion

3924.	Which of the following is a qualitative adjective?
Answer» Which of the following is a qualitative adjective?

Discussion

3925.	In a ΔPQR, PR2−PQ2=QR2 and M is a point on side PR such that QM⊥PR. Prove that QM2=PM×MR
Answer» In a $Δ P Q R,$ $P R^{2} - P Q^{2} = Q R^{2}$ and M is a point on side PR such that $Q M ⊥ P R$ . Prove that $Q M^{2} = P M \times M R$

Discussion

3926.	If the area of of each small triangles in both the shapes is equal in area, what is the difference in areas covered by the yellow shape and blue shape?
Answer» If the area of of each small triangles in both the shapes is equal in area, what is the difference in areas covered by the yellow shape and blue shape?

Discussion

3927.	Q-1700 rupees are to be distributed among three people A,B and C. A has got double of B and five times of C. Then how much money does B get? 1)rs 300 2)rs.400 3)rs.500 4)rs.70
Answer» Q-1700 rupees are to be distributed among three people A,B and C. A has got double of B and five times of C. Then how much money does B get? 1)rs 300 2)rs.400 3)rs.500 4)rs.70

Discussion

3928.	Two vertices of an equilateral triangle are (-1, 0)and (1, 0) and its third vertex lies above the x-axishe equation of circumcircle is(1) x2+y2 2y310 (2) x2+y2-y(3) x2+ y2 2y1-0 (4) x2+ y2 x y 03
Answer» Two vertices of an equilateral triangle are (-1, 0)and (1, 0) and its third vertex lies above the x-axishe equation of circumcircle is(1) x2+y2 2y310 (2) x2+y2-y(3) x2+ y2 2y1-0 (4) x2+ y2 x y 03

Discussion

3929.	The cube root of the number 46656 is ______ .
Answer» The cube root of the number 46656 is ______ .

Discussion

3930.	Choose the correct option:The y-coordinate of the point of intersection of the line y = 3x + 4 with x = 3 is _____________.A. 4B. 7C. 10D. 13
Answer» Choose the correct option: The y-coordinate of the point of intersection of the line y = 3x + 4 with x = 3 is _____________. A. 4 B. 7 C. 10 D. 13

3930.

Choose the correct option:The y-coordinate of the point of intersection of the line y = 3x + 4 with x = 3 is _____________.A. 4B. 7C. 10D. 13

Answer»

Choose the correct option:

The y-coordinate of the point of intersection of the line y = 3x + 4 with x = 3 is _____________.

A. 4

B. 7

C. 10

D. 13

Discussion

3931.	√1360+9
Answer» √1360+9

Discussion

3932.	A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of the height of the pillar to that of dome is 4:3, then what is the ratio of their volumes?
Answer» A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of the height of the pillar to that of dome is 4:3, then what is the ratio of their volumes?

Discussion

3933.	A helicopter is flying at a height of 1500 m. There is a helipad which is just below the helicopter at a height of 600 m from the ground. Taking upward movement of the helicopter as positive and downward movement as negative. Find the distance of helipad from the helicopter?
Answer» A helicopter is flying at a height of 1500 m. There is a helipad which is just below the helicopter at a height of 600 m from the ground. Taking upward movement of the helicopter as positive and downward movement as negative. Find the distance of helipad from the helicopter?

Discussion

3934.	A shopkeeper allows his customers 10% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs. 250?
Answer» A shopkeeper allows his customers $10 %$ off on the marked price of goods and still gets a profit of $25 %$ . What is the actual cost to him of an article marked Rs. 250?

Discussion

3935.	What is the smallest number you have to add to 100000 to get a multiple of 1234?
Answer» What is the smallest number you have to add to 100000 to get a multiple of 1234?

Discussion

3936.	Four alternative options are given for each of the following statements. Select the correct option. In a histogram, the width of the rectangle indicates: A. class interval B. midpoint C. frequency density D. frequency
Answer» Four alternative options are given for each of the following statements. Select the correct option. In a histogram, the width of the rectangle indicates: A. class interval B. midpoint C. frequency density D. frequency

3936.

Four alternative options are given for each of the following statements. Select the correct option. In a histogram, the width of the rectangle indicates: A. class interval B. midpoint C. frequency density D. frequency

Answer»

Four alternative options are given for each of the following statements. Select the correct option.

In a histogram, the width of the rectangle indicates:

A. class interval

B. midpoint

C. frequency density

D. frequency

Discussion

3937.	Find the Volume in cubic meter (cu.m)of each of the cuboids whose dimensions are: (i) length =12 m, breadth = 10m, height = 4.5 m (ii) length = 4 m, breadth =2.5 m, height= 50 cm (iii) length = 10 m, breadth = 25 dm, height = 25 cm.
Answer» Find the Volume in cubic meter (cu.m)of each of the cuboids whose dimensions are: (i) length =12 m, breadth = 10m, height = 4.5 m (ii) length = 4 m, breadth =2.5 m, height= 50 cm (iii) length = 10 m, breadth = 25 dm, height = 25 cm.

Discussion

3938.	Question 25 (ii)Is the following argument correct? Give reasons for your answer.If a die is thrown, there are two possible outcomes – an odd number or an even number. Therefore, the probability of getting an odd number is 12.
Answer» Question 25 (ii) Is the following argument correct? Give reasons for your answer. If a die is thrown, there are two possible outcomes – an odd number or an even number. Therefore, the probability of getting an odd number is $\frac{1}{2}$ .

Discussion

3939.	by how much must 5p²-3q² be diminished to give 2p²+q³
Answer» by how much must 5p²-3q² be diminished to give 2p²+q³

Discussion

3940.	value of ×/\sqrt{×^2
Answer» value of ×/\sqrt{×^2

Discussion

3941.	What is the total surface area where the length is 20cm, breadth 15 cm, height 10 cm. without the top of the cuboid.
Answer» What is the total surface area where the length is 20cm, breadth 15 cm, height 10 cm. without the top of the cuboid.

Discussion

3942.	What is the quotient when 78 is divided by 3? 26
Answer» What is the quotient when 78 is divided by 3? 26

3942.

What is the quotient when 78 is divided by 3? 26

Answer»

What is the quotient when 78 is divided by 3?

26

Discussion

3943.	(i) A number when increased by 23% becomes 861; find the number. (ii) A number when decreased by 16% becomes 798; find the number.
Answer» (i) A number when increased by 23% becomes 861; find the number. (ii) A number when decreased by 16% becomes 798; find the number.

Discussion

3944.	The sum of first 25 odd natural numbers is _________.
Answer» The sum of first 25 odd natural numbers is _________.

Discussion

3945.	A coin is tossed two times . What are the possible outcomes
Answer» A coin is tossed two times . What are the possible outcomes

Discussion

3946.	Using pattern of square numbers, the square of 45 can be written as
Answer» Using pattern of square numbers, the square of 45 can be written as

Discussion

3947.	As shown in the figure, a square is drawn sharing one corner with a right triangle and the other three corners on the sides of this triangle. Calculate the length of a side of the square.
Answer» As shown in the figure, a square is drawn sharing one corner with a right triangle and the other three corners on the sides of this triangle. Calculate the length of a side of the square.

Discussion

3948.	Add the following: (i) 5a2b2+10ab−12a2+15b−20 and 34ab+24a2+22b+24 (ii) abc+6bcd+abd−9ab+4bc−9a−43 and 4acd+10ac−54b−32c (iii) 5bc+9ad−3c−12 and 24−5c−5b+2ab [4 MARKS]
Answer» Add the following: $(i) 5 a^{2} b^{2} + 10 a b - 12 a^{2} + 15 b - 20$ and $34 a b + 24 a^{2} + 22 b + 24$ $(i i) a b c + 6 b c d + a b d - 9 a b + 4 b c - 9 a - 43$ and $4 a c d + 10 a c - 54 b - 32 c$ $(i i i) 5 b c + 9 a d - 3 c - 12$ and $24 - 5 c - 5 b + 2 a b$ [4 MARKS]

Discussion

3949.	In the figure below, AP and BQ are equal and parallel.Prove that AM = MB. Can you suggest a construction to locate the midpoint of a line, using this idea?
Answer» In the figure below, AP and BQ are equal and parallel. Prove that AM = MB. Can you suggest a construction to locate the midpoint of a line, using this idea?

3949.

In the figure below, AP and BQ are equal and parallel.Prove that AM = MB. Can you suggest a construction to locate the midpoint of a line, using this idea?

Answer»

In the figure below, AP and BQ are equal and parallel.

Prove that AM = MB. Can you suggest a construction to locate the midpoint of a line, using this idea?

Discussion

3950.	What will be the linear function of the following?
Answer» What will be the linear function of the following?

Discussion

Explore topic-wise InterviewSolutions in .

The sum of the third and the seventh terms of an AP is 6 and theirproduct is 8. Find the sum of first sixteen terms of the AP .

Find the cube fo the following numbers by column method: (i) 35 (ii) 56 (iii) 72

Expand:

Question 86 (x) Using suitable identities, evaluate the following: 104×97

Construct a quadrilateral ABCD, with AB = 4.0 cm, BC = 4.5 cm, CD = 4.7 cm, ∠B=60∘ and ∠A=120∘ [4 MARKS]

7. If x=cube root of 3,y=fourth root of 4,z=sixth root of 6,then 1) x

Which of the following numbers is divisible by 99?

Find f(17) for the function y = 7x - 2.

The ratio of cost price and selling price of an article is 20 : 21. What is the gain per cent on it ? (a) 5 % (b) 514% (c) 6 % (d) 614%

A works twice as fast as B. If B can complete a work in 24 days independently, the number of days in which A and B can together finish the work is?

16. The complex numbers z1,z2,z3 are the vertices of a triangle . Then the complex number z which make the triangle into parallelogram is A)z1+z2-z3. B)z1-z2+z3 C)z2+z3-z1. D) all of these

What must be added to (x3+3x−8) to get (3x3+x2+6)?

If y = x x, then dydxx=-1=______________________.

There are ______ perfect squares less than 100.

N=25^47+36^9 what is the last two digits of N

Two parallel chords are drawn on either side of the centre of a circle of diameter 30 cm. If the length of one chord is 24 cm and the distance between the two chords is 21 cm, then find the length of another chord.

Solve the following linear equation 3x+5y=18 6x+10y=48

(f × 100) + (d × 10) + e, if written as a three digit number, will be _____ .

The cost of painting the whole surface area of a cube at the rate of 13 paise per cm2 is ₹343.98. Then, find the volume of the cube.

What is meant by plotting of numbers

The area of a square is given by the formula A = c2. What will be the total area of 64 such similar squares, if the side of a square is 8 ft? Express the final area with 2 as the base and some exponent.

If the present petrol price is ₹ 50, then what is the new price when:i) there is an increase in 20% on the original price?ii) there is a decrease in 10% on the original price?

Which of the following is a qualitative adjective?

In a ΔPQR, PR2−PQ2=QR2 and M is a point on side PR such that QM⊥PR. Prove that QM2=PM×MR

If the area of of each small triangles in both the shapes is equal in area, what is the difference in areas covered by the yellow shape and blue shape?

Q-1700 rupees are to be distributed among three people A,B and C. A has got double of B and five times of C. Then how much money does B get? 1)rs 300 2)rs.400 3)rs.500 4)rs.70

Two vertices of an equilateral triangle are (-1, 0)and (1, 0) and its third vertex lies above the x-axishe equation of circumcircle is(1) x2+y2 2y310 (2) x2+y2-y(3) x2+ y2 2y1-0 (4) x2+ y2 x y 03

The cube root of the number 46656 is ______ .

Choose the correct option:The y-coordinate of the point of intersection of the line y = 3x + 4 with x = 3 is _____________.A. 4B. 7C. 10D. 13

√1360+9

A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of the height of the pillar to that of dome is 4:3, then what is the ratio of their volumes?

A helicopter is flying at a height of 1500 m. There is a helipad which is just below the helicopter at a height of 600 m from the ground. Taking upward movement of the helicopter as positive and downward movement as negative. Find the distance of helipad from the helicopter?

A shopkeeper allows his customers 10% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs. 250?

What is the smallest number you have to add to 100000 to get a multiple of 1234?

Four alternative options are given for each of the following statements. Select the correct option. In a histogram, the width of the rectangle indicates: A. class interval B. midpoint C. frequency density D. frequency

Find the Volume in cubic meter (cu.m)of each of the cuboids whose dimensions are: (i) length =12 m, breadth = 10m, height = 4.5 m (ii) length = 4 m, breadth =2.5 m, height= 50 cm (iii) length = 10 m, breadth = 25 dm, height = 25 cm.

Question 25 (ii)Is the following argument correct? Give reasons for your answer.If a die is thrown, there are two possible outcomes – an odd number or an even number. Therefore, the probability of getting an odd number is 12.

by how much must 5p²-3q² be diminished to give 2p²+q³

value of ×/\sqrt{×^2

What is the total surface area where the length is 20cm, breadth 15 cm, height 10 cm. without the top of the cuboid.

What is the quotient when 78 is divided by 3? 26

(i) A number when increased by 23% becomes 861; find the number. (ii) A number when decreased by 16% becomes 798; find the number.

The sum of first 25 odd natural numbers is _________.

A coin is tossed two times . What are the possible outcomes

Using pattern of square numbers, the square of 45 can be written as

As shown in the figure, a square is drawn sharing one corner with a right triangle and the other three corners on the sides of this triangle. Calculate the length of a side of the square.

Add the following: (i) 5a2b2+10ab−12a2+15b−20 and 34ab+24a2+22b+24 (ii) abc+6bcd+abd−9ab+4bc−9a−43 and 4acd+10ac−54b−32c (iii) 5bc+9ad−3c−12 and 24−5c−5b+2ab [4 MARKS]

In the figure below, AP and BQ are equal and parallel.Prove that AM = MB. Can you suggest a construction to locate the midpoint of a line, using this idea?

What will be the linear function of the following?