25365 + Interview Questions in Mathematics Page 89 InterviewSolution

4401.	Question 7Draw the graphs of the equations x - y + 1 = 0 and 3x + 2y - 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.
Answer» Question 7 Draw the graphs of the equations x - y + 1 = 0 and 3x + 2y - 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.

Discussion

4402.	A soap manufacturer is capable of selling soaps at Rs 6.36 per piece after adding the VAT at the rate of 6%. Still, he will make a profit of 20% on the sale. What is his manufacturing cost per soap ?
Answer» A soap manufacturer is capable of selling soaps at Rs 6.36 per piece after adding the VAT at the rate of 6%. Still, he will make a profit of 20% on the sale. What is his manufacturing cost per soap ?

Discussion

4403.	The x−intercept of a line is -10. Its y−intercept is 4. What is the slope of the line?
Answer» The $x -$ intercept of a line is -10. Its $y -$ intercept is 4. What is the slope of the line?

Discussion

4404.	Nora wants to go to a toy shop. She leaves her home at 10:00 AM and reaches the toy shop at 10:40 AM. How many seconds does Nora take to cover the journey.
Answer» Nora wants to go to a toy shop. She leaves her home at $10 : 00 AM$ and reaches the toy shop at $10 : 40 AM$ . How many seconds does Nora take to cover the journey.

Discussion

4405.	Find all 2-ding numbers each of which is divisible by the sum of its digits.
Answer» Find all 2-ding numbers each of which is divisible by the sum of its digits.

Discussion

4406.	Find the value of √103.0225 and hence find the value of i) √10302.25 ii) √1.030225
Answer» Find the value of $\sqrt{103.0225}$ and hence find the value of i) $\sqrt{10302.25}$ ii) $\sqrt{1.030225}$

4406.

Find the value of √103.0225 and hence find the value of i) √10302.25 ii) √1.030225

Answer»

Find the value of $\sqrt{103.0225}$ and hence find the value of

i) $\sqrt{10302.25}$

ii) $\sqrt{1.030225}$

Discussion

4407.	The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the lengths of the other two sides (in cm).
Answer» The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the lengths of the other two sides (in cm).

Discussion

4408.	Question 68(ii) The following graph shows the change in temperature of a block of ice when heated. Use the graph to answer the following questions. For how long was there a change in temperature?
Answer» Question 68(ii) The following graph shows the change in temperature of a block of ice when heated. Use the graph to answer the following questions. For how long was there a change in temperature?

Discussion

4409.	Simplify: 314×4832×2815×40241
Answer» $Simplify: \frac{3}{14} \times \frac{48}{32} \times \frac{28}{15} \times \frac{40}{24}$ 1

Discussion

4410.	Which quadrilateral is equiangular but not equilateral.?
Answer» Which quadrilateral is equiangular but not equilateral.?

Discussion

4411.	What is the multiplicative inverse of −117?
Answer» What is the multiplicative inverse of $- 1 \frac{1}{7}$ ?

Discussion

4412.	someone horrendous 38 65 all magazine 71 58 How many steps will be required to complete the re-arrangement?
Answer» someone horrendous 38 65 all magazine 71 58 How many steps will be required to complete the re-arrangement?

4412.

someone horrendous 38 65 all magazine 71 58 How many steps will be required to complete the re-arrangement?

Answer»

someone horrendous 38 65 all magazine 71 58

How many steps will be required to complete the re-arrangement?

Discussion

4413.	Question 96A photographer uses a computer program to enlarge a photograph. What is the scale according to which the width has enlarged?
Answer» Question 96 A photographer uses a computer program to enlarge a photograph. What is the scale according to which the width has enlarged?

Discussion

4414.	If ab= 23 then find the values of the following expressions.(i) 4a + 3b3b (ii) 5a2 + 2b25a2 - 2b2 (iii) a3 + b3b3 (iv) 7b - 4a7b + 4a
Answer» If $\frac{a}{b} = \frac{2}{3}$ then find the values of the following expressions. (i) $\frac{4 a + 3 b}{3 b}$ (ii) $\frac{5 a^{2} + 2 b^{2}}{5 a^{2} - 2 b^{2}}$ (iii) $\frac{a^{3} + b^{3}}{b^{3}}$ (iv) $\frac{7 b - 4 a}{7 b + 4 a}$

Discussion

4415.	A number multiplied by 17 gives 204. What is the number?
Answer» A number multiplied by 17 gives 204. What is the number?

4415.

A number multiplied by 17 gives 204. What is the number?

Answer»

A number multiplied by 17 gives 204. What is the number?

Discussion

4416.	Question 2(i)The following line graph shows the yearly sales figures for a manufacturing company.What were the sales in (i) 2002 (ii) 2006?
Answer» Question 2(i) The following line graph shows the yearly sales figures for a manufacturing company. What were the sales in (i) 2002 (ii) 2006?

Discussion

4417.	Select quadratic surds from the following:
Answer» Select quadratic surds from the following:

Discussion

4418.	Find the value of n: 3(n−5)+5n=7(a−n)−2(n−b), where a and b are constants.
Answer» Find the value of $n$ : $3 (n - 5) + 5 n = 7 (a - n) - 2 (n - b)$ , where $a$ and $b$ are constants.

Discussion

4419.	A man bought a certain number of oranges; out of which 13 percent were found rotten. He gave 75% of the remaining in charity and still has 522 oranges left. Find how many had he bought ?
Answer» A man bought a certain number of oranges; out of which 13 percent were found rotten. He gave 75% of the remaining in charity and still has 522 oranges left. Find how many had he bought ?

Discussion

4420.	Which relation represents the Slope intercept form of a line?
Answer» Which relation represents the Slope intercept form of a line?

Discussion

4421.	α and β are the zeros of x^2-\sqrt3x+1. Then find the value of α^{200}+α^{194}+β^{50}+β^{44}
Answer» α and β are the zeros of x^2-\sqrt3x+1. Then find the value of α^{200}+α^{194}+β^{50}+β^{44}

Discussion

4422.	Simplify:
Answer» Simplify:

4422.

Simplify:

Answer»

Simplify:

Discussion

4423.	The shape of a gilli, in the gilli-danda game, is a combination of _______and a ________.
Answer» The shape of a gilli, in the gilli-danda game, is a combination of _______and a ________.

Discussion

4424.	Diagonals of a rectangle ABCD intersect at point O. If AC = 8 cm then find BO and if ∠CAD = 35° then find ∠ACB
Answer» Diagonals of a rectangle ABCD intersect at point O. If AC = 8 cm then find BO and if $∠$ CAD = $35^{°}$ then find $∠$ ACB

Discussion

4425.	Prove that the point of intersection of the two diagonals of a parallelogram is the midpoint of both the diagonals.
Answer» Prove that the point of intersection of the two diagonals of a parallelogram is the midpoint of both the diagonals.

Discussion

4426.	An umbrella has 8 ribs which are equally spaced. Assuming the umbrella to be a flat circle of radius 42 cm, find the area in cm2 between the two consecutive ribs of the umbrella. (Take π=227)
Answer» An umbrella has 8 ribs which are equally spaced. Assuming the umbrella to be a flat circle of radius 42 $c m$ , find the area in $c m^{2}$ between the two consecutive ribs of the umbrella. (Take $π = \frac{22}{7}$ )

Discussion

4427.	Find the percentage of people in the height range 149.5-159.5.30
Answer» Find the percentage of people in the height range 149.5-159.5. 30

Discussion

4428.	Find the number ofdigits in the square root of each of the following numbers (withoutany calculation).(i) 64 (ii) 144 (iii) 4489 (iv) 27225(v) 390625
Answer» Find the number of digits in the square root of each of the following numbers (without any calculation). (i) 64 (ii) 144 (iii) 4489 (iv) 27225 (v) 390625

4428.

Find the number ofdigits in the square root of each of the following numbers (withoutany calculation).(i) 64 (ii) 144 (iii) 4489 (iv) 27225(v) 390625

Answer»

Find the number of
digits in the square root of each of the following numbers (without
any calculation).

(i) 64 (ii) 144

(iii) 4489 (iv) 27225

(v) 390625

Discussion

4429.	How many diagonals does each of the following have? (i) A convex quadrilateral (ii) A regular hexagon (iii) A triangle.
Answer» How many diagonals does each of the following have? (i) A convex quadrilateral (ii) A regular hexagon (iii) A triangle.

Discussion

4430.	In a stack there are 5 books each of thickness 20mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?
Answer» In a stack there are 5 books each of thickness 20mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?

Discussion

4431.	The population of a place is 4,000 in the year 1998. If the population of the same place is 16,000 in the year 2000, then the rate of increase in the population is
Answer» The population of a place is 4,000 in the year 1998. If the population of the same place is 16,000 in the year 2000, then the rate of increase in the population is

Discussion

4432.	Which operations on whole numbers are commutative?
Answer» Which operations on whole numbers are commutative?

Discussion

4433.	Find the value of (30 + 4−1) × 23. ___
Answer» Find the value of ( $3^{0}$ + $4^{- 1}$ ) × $2^{3}$ . ___

Discussion

4434.	Find the area of the sector of a circle if the radius of the circle is 5 cm, and the length of the arc is 4 cm.
Answer» Find the area of the sector of a circle if the radius of the circle is 5 cm, and the length of the arc is 4 cm.

Discussion

4435.	Sindhu sells her scooty for Rs 28,000 through a broker. The rate of brokerage is. Find the commission that the agent gets and the net amount Sindhu gets.
Answer» Sindhu sells her scooty for Rs 28,000 through a broker. The rate of brokerage is. Find the commission that the agent gets and the net amount Sindhu gets.

Discussion

4436.	Without doing any calculation, find the numbers which are surely not perfect squares. (i) 153 (ii) 257 (iii) 408 (iv) 441
Answer» Without doing any calculation, find the numbers which are surely not perfect squares. (i) 153 (ii) 257 (iii) 408 (iv) 441

4436.

Without doing any calculation, find the numbers which are surely not perfect squares. (i) 153 (ii) 257 (iii) 408 (iv) 441

Answer»

Without doing any calculation, find the numbers which are surely not
perfect squares.

(i) 153 (ii) 257

(iii) 408 (iv) 441

Discussion

4437.	A milkman purchases milk at the rate of ₹12 per litre and then mixes 25% water to it. Find his profit %, if he sells the mixture at ₹15 per litre.
Answer» A milkman purchases milk at the rate of ₹12 per litre and then mixes $25 %$ water to it. Find his profit $%$ , if he sells the mixture at ₹15 per litre.

Discussion

4438.	What is the meaning of zero of circular scale division coincides with 25 divisions above reference level in screw gauge ?what is difference if it was written below in place of above?
Answer» What is the meaning of zero of circular scale division coincides with 25 divisions above reference level in screw gauge ?what is difference if it was written below in place of above?

Discussion

4439.	A motorist travelled 122 kilometres for his first stop . if he had 10% of his journey to complete at this point , how long was the total ride ??
Answer» A motorist travelled 122 kilometres for his first stop . if he had 10% of his journey to complete at this point , how long was the total ride ??

Discussion

4440.	Question 1(iii)Plot the following points on a graph sheet. Verify if they lie on a lineK(2, 3), L(5, 3), M(5,5), N(2, 5)
Answer» Question 1(iii) Plot the following points on a graph sheet. Verify if they lie on a line K(2, 3), L(5, 3), M(5,5), N(2, 5)

Discussion

4441.	How many non-perfect square numbers lie between the squares of 3 and 4?
Answer» How many non-perfect square numbers lie between the squares of 3 and 4?

Discussion

4442.	Find the square root of each of the following numbers by using the method of prime factorisation: (1) 225 (2) 441 (3) 729 (4) 1296 (5) 2025 (6) 4096 (7) 7056 (8) 8100 (9) 9216 (10) 11025 (11) 15876 (12) 17424
Answer» Find the square root of each of the following numbers by using the method of prime factorisation: (1) 225 (2) 441 (3) 729 (4) 1296 (5) 2025 (6) 4096 (7) 7056 (8) 8100 (9) 9216 (10) 11025 (11) 15876 (12) 17424

Discussion

4443.	In a zoological park, there are 500 creatures as per the following table.Out of the total number of creatures, % are birds, % are reptiles, 40% are water animals and % are other land reptiles in the zoological park.
Answer» In a zoological park, there are 500 creatures as per the following table. Out of the total number of creatures, % are birds, % are reptiles, $40 %$ are water animals and % are other land reptiles in the zoological park.

Discussion

4444.	Question 71 1 is the only number which is its own reciprocal.
Answer» Question 71 1 is the only number which is its own reciprocal.

Discussion

4445.	In the given figure, Line l is the bisector of an angle ∠A and B is any point on l. BP and BQ are perpendiculars from B to the arms of ∠A. Show that :(i) ΔAPB ≅ ΔAQB(ii) BP = BQ or B is equidistant from the arms of ∠A.
Answer» In the given figure, Line l is the bisector of an angle ∠A and B is any point on l. BP and BQ are perpendiculars from B to the arms of ∠A. Show that : (i) ΔAPB ≅ ΔAQB (ii) BP = BQ or B is equidistant from the arms of ∠A.

Discussion

4446.	Find the square root of only iota
Answer» Find the square root of only iota

Discussion

4447.	{ The construction of a triangle }ABC , given that }}{BC=4cm,\angle B=30^° is not possible when }}{ difference of }AB and }AC is equal to
Answer» { The construction of a triangle }ABC , given that }}{BC=4cm,\angle B=30^° is not possible when }}{ difference of }AB and }AC is equal to

Discussion

4448.	If a cycle is sold of 1120 ,we get 20% loss ,how much we have to sold to get 40% profit
Answer» If a cycle is sold of 1120 ,we get 20% loss ,how much we have to sold to get 40% profit

Discussion

4449.	Q. A bottle is filled 10% in one hour and 8% of the water present in the bottle at the time is emptied in the next one hour. If this process is repeated once again, find the percentage of the bottle filled with water.Q. एक बोतल एक घंटे में 10% भर जाती है और अगले एक घंटे में बोतल में मौजूद पानी का 8% पानी खाली हो जाता है। यदि इस प्रक्रिया को पुनः दोहराया जाता है, तो ज्ञात कीजिए की बोतल का कितना प्रतिशत पानी से भरा हुआ है।
Answer» Q. A bottle is filled $10 %$ in one hour and $8 %$ of the water present in the bottle at the time is emptied in the next one hour. If this process is repeated once again, find the percentage of the bottle filled with water. Q. एक बोतल एक घंटे में $10 %$ भर जाती है और अगले एक घंटे में बोतल में मौजूद पानी का $8 %$ पानी खाली हो जाता है। यदि इस प्रक्रिया को पुनः दोहराया जाता है, तो ज्ञात कीजिए की बोतल का कितना प्रतिशत पानी से भरा हुआ है।

4449.

Q. A bottle is filled 10% in one hour and 8% of the water present in the bottle at the time is emptied in the next one hour. If this process is repeated once again, find the percentage of the bottle filled with water.Q. एक बोतल एक घंटे में 10% भर जाती है और अगले एक घंटे में बोतल में मौजूद पानी का 8% पानी खाली हो जाता है। यदि इस प्रक्रिया को पुनः दोहराया जाता है, तो ज्ञात कीजिए की बोतल का कितना प्रतिशत पानी से भरा हुआ है।

Answer»

Q. A bottle is filled $10 %$ in one hour and $8 %$ of the water present in the bottle at the time is emptied in the next one hour. If this process is repeated once again, find the percentage of the bottle filled with water.

Q. एक बोतल एक घंटे में $10 %$ भर जाती है और अगले एक घंटे में बोतल में मौजूद पानी का $8 %$ पानी खाली हो जाता है। यदि इस प्रक्रिया को पुनः दोहराया जाता है, तो ज्ञात कीजिए की बोतल का कितना प्रतिशत पानी से भरा हुआ है।

Discussion

4450.	How many pair of positive integer p and q satisfy 1p + 4q = 112,where q is a odd integer and q
Answer» How many pair of positive integer p and q satisfy 1p + 4q = 112,where q is a odd integer and q<60.

Discussion

Explore topic-wise InterviewSolutions in .

Question 7Draw the graphs of the equations x - y + 1 = 0 and 3x + 2y - 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.

A soap manufacturer is capable of selling soaps at Rs 6.36 per piece after adding the VAT at the rate of 6%. Still, he will make a profit of 20% on the sale. What is his manufacturing cost per soap ?

The x−intercept of a line is -10. Its y−intercept is 4. What is the slope of the line?

Nora wants to go to a toy shop. She leaves her home at 10:00 AM and reaches the toy shop at 10:40 AM. How many seconds does Nora take to cover the journey.

Find all 2-ding numbers each of which is divisible by the sum of its digits.

Find the value of √103.0225 and hence find the value of i) √10302.25 ii) √1.030225

The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the lengths of the other two sides (in cm).

Question 68(ii) The following graph shows the change in temperature of a block of ice when heated. Use the graph to answer the following questions. For how long was there a change in temperature?

Simplify: 314×4832×2815×40241

Which quadrilateral is equiangular but not equilateral.?

What is the multiplicative inverse of −117?

someone horrendous 38 65 all magazine 71 58 How many steps will be required to complete the re-arrangement?

Question 96A photographer uses a computer program to enlarge a photograph. What is the scale according to which the width has enlarged?

If ab= 23 then find the values of the following expressions.(i) 4a + 3b3b (ii) 5a2 + 2b25a2 - 2b2 (iii) a3 + b3b3 (iv) 7b - 4a7b + 4a

A number multiplied by 17 gives 204. What is the number?

Question 2(i)The following line graph shows the yearly sales figures for a manufacturing company.What were the sales in (i) 2002 (ii) 2006?

Select quadratic surds from the following:

Find the value of n: 3(n−5)+5n=7(a−n)−2(n−b), where a and b are constants.

A man bought a certain number of oranges; out of which 13 percent were found rotten. He gave 75% of the remaining in charity and still has 522 oranges left. Find how many had he bought ?

Which relation represents the Slope intercept form of a line?

α and β are the zeros of x^2-\sqrt3x+1. Then find the value of α^{200}+α^{194}+β^{50}+β^{44}

Simplify:

The shape of a gilli, in the gilli-danda game, is a combination of _______and a ________.

Diagonals of a rectangle ABCD intersect at point O. If AC = 8 cm then find BO and if ∠CAD = 35° then find ∠ACB

Prove that the point of intersection of the two diagonals of a parallelogram is the midpoint of both the diagonals.

An umbrella has 8 ribs which are equally spaced. Assuming the umbrella to be a flat circle of radius 42 cm, find the area in cm2 between the two consecutive ribs of the umbrella. (Take π=227)

Find the percentage of people in the height range 149.5-159.5.30

Find the number ofdigits in the square root of each of the following numbers (withoutany calculation).(i) 64 (ii) 144 (iii) 4489 (iv) 27225(v) 390625

How many diagonals does each of the following have? (i) A convex quadrilateral (ii) A regular hexagon (iii) A triangle.

In a stack there are 5 books each of thickness 20mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?

The population of a place is 4,000 in the year 1998. If the population of the same place is 16,000 in the year 2000, then the rate of increase in the population is

Which operations on whole numbers are commutative?

Find the value of (30 + 4−1) × 23. ___

Find the area of the sector of a circle if the radius of the circle is 5 cm, and the length of the arc is 4 cm.

Sindhu sells her scooty for Rs 28,000 through a broker. The rate of brokerage is. Find the commission that the agent gets and the net amount Sindhu gets.

Without doing any calculation, find the numbers which are surely not perfect squares. (i) 153 (ii) 257 (iii) 408 (iv) 441

A milkman purchases milk at the rate of ₹12 per litre and then mixes 25% water to it. Find his profit %, if he sells the mixture at ₹15 per litre.

What is the meaning of zero of circular scale division coincides with 25 divisions above reference level in screw gauge ?what is difference if it was written below in place of above?

A motorist travelled 122 kilometres for his first stop . if he had 10% of his journey to complete at this point , how long was the total ride ??

Question 1(iii)Plot the following points on a graph sheet. Verify if they lie on a lineK(2, 3), L(5, 3), M(5,5), N(2, 5)

How many non-perfect square numbers lie between the squares of 3 and 4?

Find the square root of each of the following numbers by using the method of prime factorisation: (1) 225 (2) 441 (3) 729 (4) 1296 (5) 2025 (6) 4096 (7) 7056 (8) 8100 (9) 9216 (10) 11025 (11) 15876 (12) 17424

In a zoological park, there are 500 creatures as per the following table.Out of the total number of creatures, % are birds, % are reptiles, 40% are water animals and % are other land reptiles in the zoological park.

Question 71 1 is the only number which is its own reciprocal.

In the given figure, Line l is the bisector of an angle ∠A and B is any point on l. BP and BQ are perpendiculars from B to the arms of ∠A. Show that :(i) ΔAPB ≅ ΔAQB(ii) BP = BQ or B is equidistant from the arms of ∠A.

Find the square root of only iota

{ The construction of a triangle }ABC , given that }}{BC=4cm,\angle B=30^° is not possible when }}{ difference of }AB and }AC is equal to

If a cycle is sold of 1120 ,we get 20% loss ,how much we have to sold to get 40% profit

How many pair of positive integer p and q satisfy 1p + 4q = 112,where q is a odd integer and q

The shape of a gilli, in the gilli-danda game, is a combination of _and a __.