19743 + Interview Questions in Mathematics Page 305 InterviewSolution

15201.	What geometrical figure would be obtained on moving a point along a straight line?
Answer» What geometrical figure would be obtained on moving a point along a straight line?

Discussion

15202.	The sum of two rational numbers is −35. If one of them is −910, find the other number.
Answer» The sum of two rational numbers is $\frac{- 3}{5}$ . If one of them is $\frac{- 9}{10}$ , find the other number.

Discussion

15203.	The cost of a bottle and a bowl together is 92 rupees. If the bottle costs 20 rupees more than the bowl, then what is the price of one bottle is
Answer» The cost of a bottle and a bowl together is 92 rupees. If the bottle costs 20 rupees more than the bowl, then what is the price of one bottle is

Discussion

15204.	Solve for x: 5x−46=2+3x2
Answer» Solve for $x$ : $\frac{5 x - 4}{6} = 2 + \frac{3 x}{2}$

Discussion

15205.	P and Q started a business and invested for the same time. If the ratio of their investment is 4 : 5, then, their profit is also in the ratio of 4 : 5. Is this statement true?
Answer» P and Q started a business and invested for the same time. If the ratio of their investment is 4 : 5, then, their profit is also in the ratio of 4 : 5. Is this statement true?

Discussion

15206.	In a triangle if angle P = 55 degrees and angle Q = 65 degrees, find the shortest and the longest side of the triangle.
Answer» In a triangle if angle P = 55 degrees and angle Q = 65 degrees, find the shortest and the longest side of the triangle.

Discussion

15207.	What is the result if the line PQ is moved horizontally towards the right?
Answer» What is the result if the line PQ is moved horizontally towards the right?

15207.

What is the result if the line PQ is moved horizontally towards the right?

Answer»

What is the result if the line PQ is moved horizontally towards the right?

Discussion

15208.	Prove if 3/(a2+b2). then ,3/a. and 3/b , a€N, b€N.
Answer» Prove if 3/(a²+b²). then ,3/a. and 3/b , a€N, b€N.

Discussion

15209.	1)In a class of25 students, there are15 boys. What is the percentage of girls ? 2)what percentage of 50 is20 ? 3). The picnic spot is 55 km away from a school. The first stop is taken at 22km from the school . What percentage of the distance is remaining to reach the destination? 4) true or false The distance between two places is10 km . A person travel 4km ,which is 50% of the entire journey? 5) According to survey conducted in a city, 25%were doctors ,30% Engineers,15%businessman and rest were illiterates . What is the number of illiterates if the total population of the city is5000?
Answer» 1)In a class of25 students, there are15 boys. What is the percentage of girls ? 2)what percentage of 50 is20 ? 3). The picnic spot is 55 km away from a school. The first stop is taken at 22km from the school . What percentage of the distance is remaining to reach the destination? 4) true or false The distance between two places is10 km . A person travel 4km ,which is 50% of the entire journey? 5) According to survey conducted in a city, 25%were doctors ,30% Engineers,15%businessman and rest were illiterates . What is the number of illiterates if the total population of the city is5000?

15209.

1)In a class of25 students, there are15 boys. What is the percentage of girls ? 2)what percentage of 50 is20 ? 3). The picnic spot is 55 km away from a school. The first stop is taken at 22km from the school . What percentage of the distance is remaining to reach the destination? 4) true or false The distance between two places is10 km . A person travel 4km ,which is 50% of the entire journey? 5) According to survey conducted in a city, 25%were doctors ,30% Engineers,15%businessman and rest were illiterates . What is the number of illiterates if the total population of the city is5000?

Answer»

1)In a class of25 students, there are15 boys. What is the percentage of girls ?

2)what percentage of 50 is20 ?

3). The picnic spot is 55 km away from a school. The first stop is taken at 22km from the school . What percentage of the distance is remaining to reach the destination?

4) true or false

The distance between two places is10 km . A person travel 4km ,which is 50% of the entire journey?

5) According to survey conducted in a city, 25%were doctors ,30% Engineers,15%businessman and rest were illiterates . What is the number of illiterates if the total population of the city is5000?

Discussion

15210.	Two friends Harry and Larry who are very fond of Indian cuisine went to Hotel A for having lunch. Harry and Larry had 3 and 5 rotis respectively. For dinner, they went to Hotel B where the size of the roti was relatively small. Assuming that they have the same amount of hunger as before and Larry ate 10 rotis, how many rotis did Harry ate?
Answer» Two friends Harry and Larry who are very fond of Indian cuisine went to Hotel A for having lunch. Harry and Larry had 3 and 5 rotis respectively. For dinner, they went to Hotel B where the size of the roti was relatively small. Assuming that they have the same amount of hunger as before and Larry ate 10 rotis, how many rotis did Harry ate?

Discussion

15211.	Question 2 (i) 1500 families with 2 children were selected randomly, and the following data was recorded: Number of girls in a family210Number of families475814211 Compute the probability of a family,chosen at random ,having 2 girls.
Answer» Question 2 (i) 1500 families with 2 children were selected randomly, and the following data was recorded: $\begin{matrix} N u m b e r o f g i r l s i n a f a m i l y & 2 & 1 & 0 N u m b e r o f f a m i l i e s & 475 & 814 & 211 \end{matrix}$ Compute the probability of a family,chosen at random ,having 2 girls.

Discussion

15212.	If the angles of a triangle are in the ratio 1:2:3 then determine the three angles.
Answer» If the angles of a triangle are in the ratio 1:2:3 then determine the three angles.

Discussion

15213.	Question 52 Fill in the blanks to make the statement true. The longest side of a right-angled triangle is called its ___
Answer» Question 52 Fill in the blanks to make the statement true. The longest side of a right-angled triangle is called its ___

15213.

Question 52 Fill in the blanks to make the statement true. The longest side of a right-angled triangle is called its ___

Answer»

Question 52

Fill in the blanks to make the statement true.

The longest side of a right-angled triangle is called its ___

Discussion

15214.	Question 23 Fill in the blanks to make the statement true. Like terms in the expression n(n+1) + 6(n-1) are ___ and ___.
Answer» Question 23 Fill in the blanks to make the statement true. Like terms in the expression n(n+1) + 6(n-1) are ___ and ___.

15214.

Question 23 Fill in the blanks to make the statement true. Like terms in the expression n(n+1) + 6(n-1) are _ and _.

Answer»

Question 23

Fill in the blanks to make the statement true.

Like terms in the expression n(n+1) + 6(n-1) are ___ and ___.

Discussion

15215.	Question 1 Construct the right angled Δ PQR, where ∠ Q = 90∘, QR = 8 cm and PR = 10 cm.
Answer» Question 1 Construct the right angled $Δ$ PQR, where $∠$ Q = $90^{\circ}$ , QR = 8 cm and PR = 10 cm.

Discussion

15216.	Question 1 (ii) Is it possible to have a triangle with the following sides? 3 cm, 6 cm, 7cm
Answer» Question 1 (ii) Is it possible to have a triangle with the following sides? 3 cm, 6 cm, 7cm

Discussion

15217.	Shikha deposited ₹2000 in a bank which pays 6% simple interest. She withdrew ₹ 700 at the end of the first year . What will be her balance after 3 years? My solution : P1 = ₹2000 R=6% T=1yr SI =( 200061)÷100 SI = (120) P2 = ₹2000-₹700 = ₹1300 SI = (130062)÷100 SI = 156 Amt = 1300+156+120 Amt = ₹1576 Other solution P1 = ₹2000 R=6% T=1yr SI =( 200061)÷100 SI = (120) Amt = 2000 + 120 =₹2120 P2 = 2120-700=1420 SI = (142062)÷100 SI = 170.4 Amt = 1420+170.4=1590.4 I am not able to understand why do we have to subtract ₹700 from initial amount ₹2000 . Shikha withdrew ₹700 at the end of the first year .
Answer» Shikha deposited ₹2000 in a bank which pays 6% simple interest. She withdrew ₹ 700 at the end of the first year . What will be her balance after 3 years? My solution : P₁= ₹2000 R=6% T=1yr SI =( 200061)÷100 SI = (120) P₂= ₹2000-₹700 = ₹1300 SI = (130062)÷100 SI = 156 Amt = 1300+156+120 Amt = ₹1576 Other solution P₁= ₹2000 R=6% T=1yr SI =( 200061)÷100 SI = (120) Amt = 2000 + 120 =₹2120 P_{2 =}2120-700=1420 SI = (142062)÷100 SI = 170.4 Amt = 1420+170.4=1590.4 I am not able to understand why do we have to subtract ₹700 from initial amount ₹2000 . Shikha withdrew ₹700 at the end of the first year .

Discussion

15218.	Given is a quadrilateral ABCD in which ΔADC≅ΔABC. Which congruency criteria is used?
Answer» Given is a quadrilateral ABCD in which $Δ A D C ≅ Δ A B C$ . Which congruency criteria is used?

15218.

Given is a quadrilateral ABCD in which ΔADC≅ΔABC. Which congruency criteria is used?

Answer»

Given is a quadrilateral ABCD in which $Δ A D C ≅ Δ A B C$ . Which congruency criteria is used?

Discussion

15219.	Which of the following should be the LAST sentence after rearrangement?
Answer» Which of the following should be the LAST sentence after rearrangement?

Discussion

15220.	Question 45 State whether the statements are True or False. Mean can never be a fraction.
Answer» Question 45 State whether the statements are True or False. Mean can never be a fraction.

Discussion

15221.	Which number is not a part of prime factor form of 90?
Answer» Which number is not a part of prime factor form of 90?

Discussion

15222.	Which of the following is an algebraic expression(s)?
Answer» Which of the following is an algebraic expression(s)?

Discussion

15223.	The sum of 11x2−8x+4 and 6x2+7x−10 is:
Answer» The sum of $11 x^{2} - 8 x + 4$ and $6 x^{2} + 7 x - 10$ is:

Discussion

15224.	If Sam goes 6 m to the left from a point taken as 0, and then further 2 m to the left, he has travelled ___ m.-8
Answer» If Sam goes 6 m to the left from a point taken as 0, and then further 2 m to the left, he has travelled ___ m. -8

Discussion

15225.	How many times a circular wheel of diameter 56 CM must rotate to go 704 m?
Answer» How many times a circular wheel of diameter 56 CM must rotate to go 704 m?

Discussion

15226.	What is terminating?
Answer» What is terminating?

Discussion

15227.	Find the value of -8-2[6+4{7-(2.8+1.4)}]
Answer» Find the value of -8-2[6+4{7-(2.8+1.4)}]

15227.

Find the value of -8-2[6+4{7-(2.8+1.4)}]

Answer»

Find the value of

-8-2[6+4{7-(2.8+1.4)}]

Discussion

15228.	What is additive inverse of-6/8
Answer» What is additive inverse of-6/8

Discussion

15229.	The circumference of a circle of diameter 10 cm is _____.
Answer» The circumference of a circle of diameter 10 cm is _____.

Discussion

15230.	For the given right-angled triangle, which of the following is/are true? (h=hypotenuse, a and b are the perpendicular sides)
Answer» For the given right-angled triangle, which of the following is/are true? (h=hypotenuse, a and b are the perpendicular sides)

15230.

For the given right-angled triangle, which of the following is/are true? (h=hypotenuse, a and b are the perpendicular sides)

Answer»

For the given right-angled triangle, which of the following is/are true?

(h=hypotenuse, a and b are the perpendicular sides)

Discussion

15231.	Statements: J # R, R © D, D F Conclusions: a) F $ R b) F % R
Answer» Statements: J # R, R © D, D F Conclusions: a) F $ R b) F % R

15231.

Statements: J # R, R © D, D F Conclusions: a) F $ R b) F % R

Answer»

Statements: J # R, R © D, D F

Conclusions:

a) F $ R

b) F % R

Discussion

15232.	Question 4 (iii) If a = 2, b = -2, find the value of: a2−b2
Answer» Question 4 (iii) If a = 2, b = -2, find the value of: $a^{2} - b^{2}$

15232.

Question 4 (iii) If a = 2, b = -2, find the value of: a2−b2

Answer»

Question 4 (iii)

If a = 2, b = -2, find the value of:
$a^{2} - b^{2}$

Discussion

15233.	Find the square of (101)2
Answer» Find the square of $(101)^{2}$

Discussion

15234.	Question 14 Simplify (i)(13+23+33)12(ii)(35)4(85)−12(325)6(iii)(127)−23(iv)⎡⎣((625)−12)−14⎤⎦2(v)913×27−12316×3−23 (vi)64−13[6413−6423](vii)813×161332−13
Answer» Question 14 Simplify $(i) (1^{3} + 2^{3} + 3^{3})^{\frac{1}{2}} (i i) {(\frac{3}{5})}^{4} {(\frac{8}{5})}^{- 12} {(\frac{32}{5})}^{6} (i i i) {(\frac{1}{27})}^{\frac{- 2}{3}} (i v) {⎡ ⎣ {((625)^{- \frac{1}{2}})}^{\frac{- 1}{4}} ⎤ ⎦}^{2} (v) \frac{9^{\frac{1}{3}} \times 27^{- \frac{1}{2}}}{3^{\frac{1}{6}} \times 3^{\frac{- 2}{3}}}$ $(v i) 64^{\frac{- 1}{3}} [64^{\frac{1}{3}} - 64^{\frac{2}{3}}] (v i i) \frac{8^{\frac{1}{3}} \times 16^{\frac{1}{3}}}{32^{\frac{- 1}{3}}}$

Discussion

15235.	If the angles of a triangle are in the ratio 2:3:4, then the difference between the largest and the smallest angle is
Answer» If the angles of a triangle are in the ratio 2:3:4, then the difference between the largest and the smallest angle is

Discussion

15236.	Three cannons fire shots at intervals of 12 seconds, 18 seconds and 60 seconds respectively. If they start firing at the same time, then after how many seconds will they fire together again?
Answer» Three cannons fire shots at intervals of 12 seconds, 18 seconds and 60 seconds respectively. If they start firing at the same time, then after how many seconds will they fire together again?

Discussion

15237.	The diagram represents two inequations A and B on real number lines. Find A ∩ B’
Answer» The diagram represents two inequations A and B on real number lines. Find A ∩ B’

15237.

The diagram represents two inequations A and B on real number lines. Find A ∩ B’

Answer»

The diagram represents two inequations A and B on real number lines.

Find A ∩ B’

Discussion

15238.	Bill realizes that the room contained natural numbers and hence the room was named Room N. He infers that in this world, the names of rooms depended on their occupants. As he goes around inspecting the numbers, he hears someone knocking the door and after a little bit of exploring, he finds a door in Room N. On opening the door, he sees a new occupant, ‘0’. When ‘0’ comes inside the Room N, the walls disappeared making the room bigger.The nameplate then read Room W. (Think of the relevance of the “W” in the name of this room) The occupants of this newly formed room are called __ numbers.
Answer» Bill realizes that the room contained natural numbers and hence the room was named Room N. He infers that in this world, the names of rooms depended on their occupants. As he goes around inspecting the numbers, he hears someone knocking the door and after a little bit of exploring, he finds a door in Room N. On opening the door, he sees a new occupant, ‘0’. When ‘0’ comes inside the Room N, the walls disappeared making the room bigger.The nameplate then read Room W. (Think of the relevance of the “W” in the name of this room) The occupants of this newly formed room are called __ numbers.

15238.

Bill realizes that the room contained natural numbers and hence the room was named Room N. He infers that in this world, the names of rooms depended on their occupants. As he goes around inspecting the numbers, he hears someone knocking the door and after a little bit of exploring, he finds a door in Room N. On opening the door, he sees a new occupant, ‘0’. When ‘0’ comes inside the Room N, the walls disappeared making the room bigger.The nameplate then read Room W. (Think of the relevance of the “W” in the name of this room) The occupants of this newly formed room are called __ numbers.

Answer»

Bill realizes that the room contained natural numbers and hence the room was named Room N. He infers that in this world, the names of rooms depended on their occupants. As he goes around inspecting the numbers, he hears someone knocking the door and after a little bit of exploring, he finds a door in Room N. On opening the door, he sees a new occupant, ‘0’. When ‘0’ comes inside the Room N, the walls disappeared making the room bigger.The nameplate then read Room W. (Think of the relevance of the “W” in the name of this room)

The occupants of this newly formed room are called __ numbers.

Discussion

15239.	Which is the equivalent fraction of 1218?
Answer» Which is the equivalent fraction of $\frac{12}{18}$ ?

Discussion

15240.	Which of the following could represent length of sides of a triangle?
Answer» Which of the following could represent length of sides of a triangle?

Discussion

15241.	Arjun: The amount of rope required to surround a figure exactly is called its area. Shubh: The amount of cloth required to cover a figure is called its area. Pick the correct option from the given options.
Answer» Arjun: The amount of rope required to surround a figure exactly is called its area. Shubh: The amount of cloth required to cover a figure is called its area. Pick the correct option from the given options.

15241.

Arjun: The amount of rope required to surround a figure exactly is called its area. Shubh: The amount of cloth required to cover a figure is called its area. Pick the correct option from the given options.

Answer»

Arjun: The amount of rope required to surround a figure exactly is called its area.

Shubh: The amount of cloth required to cover a figure is called its area.

Pick the correct option from the given options.

Discussion

15242.	A circle is divided into four equal parts. One of the parts is again divided into two equal parts. If the area of the given circle is 400 metre square. What is the area of the shaded region? [3 MARKS]
Answer» A circle is divided into four equal parts. One of the parts is again divided into two equal parts. If the area of the given circle is 400 metre square. What is the area of the shaded region? [3 MARKS]

Discussion

15243.	If a set has n elements, then it has subsets.
Answer» If a set has $n$ elements, then it has subsets.

Discussion

15244.	Express 32000 as a product of powers of prime factors.
Answer» Express 32000 as a product of powers of prime factors.

Discussion

15245.	In the given figure, prove that: [3 MARKS] (i) ΔACB≅ΔECD (ii) AB=ED
Answer» In the given figure, prove that: [3 MARKS] (i) $Δ A C B ≅ Δ E C D$ (ii) $A B = E D$

Discussion

15246.	Check weather themset of numbers from a PYTHAGOREAN TRIPLETS or not a)( 7,24,25) b)(40,42,58)
Answer» Check weather themset of numbers from a PYTHAGOREAN TRIPLETS or not a)( 7,24,25) b)(40,42,58)

Discussion

15247.	Definition of commutative property
Answer» Definition of commutative property

Discussion

15248.	Satyakam walks 17/12 km towards North from his house and then he takes right turn and walks 9/4 km to reach his office. How far is his office from his house?
Answer» Satyakam walks 17/12 km towards North from his house and then he takes right turn and walks 9/4 km to reach his office. How far is his office from his house?

Discussion

15249.	Two complementary angles are in the ratio 3: 2. Then the measure of the bigger angle is ___ degrees.
Answer» Two complementary angles are in the ratio 3: 2. Then the measure of the bigger angle is ___ degrees.

Discussion

15250.	Rahul covers a part of the journey at 20 km/hr and the remaining at 70 km/hr, taking total of 8 hours to cover the distance of 410 km. How many hours he has been driving at 20 km/hr?
Answer» Rahul covers a part of the journey at 20 km/hr and the remaining at 70 km/hr, taking total of 8 hours to cover the distance of 410 km. How many hours he has been driving at 20 km/hr?

Discussion

Explore topic-wise InterviewSolutions in .

What geometrical figure would be obtained on moving a point along a straight line?

The sum of two rational numbers is −35. If one of them is −910, find the other number.

The cost of a bottle and a bowl together is 92 rupees. If the bottle costs 20 rupees more than the bowl, then what is the price of one bottle is

Solve for x: 5x−46=2+3x2

P and Q started a business and invested for the same time. If the ratio of their investment is 4 : 5, then, their profit is also in the ratio of 4 : 5. Is this statement true?

In a triangle if angle P = 55 degrees and angle Q = 65 degrees, find the shortest and the longest side of the triangle.

What is the result if the line PQ is moved horizontally towards the right?

Prove if 3/(a2+b2). then ,3/a. and 3/b , a€N, b€N.

Question 2 (i) 1500 families with 2 children were selected randomly, and the following data was recorded: Number of girls in a family210Number of families475814211 Compute the probability of a family,chosen at random ,having 2 girls.

If the angles of a triangle are in the ratio 1:2:3 then determine the three angles.

Question 52 Fill in the blanks to make the statement true. The longest side of a right-angled triangle is called its ___

Question 23 Fill in the blanks to make the statement true. Like terms in the expression n(n+1) + 6(n-1) are ___ and ___.

Question 1 Construct the right angled Δ PQR, where ∠ Q = 90∘, QR = 8 cm and PR = 10 cm.

Question 1 (ii) Is it possible to have a triangle with the following sides? 3 cm, 6 cm, 7cm

Given is a quadrilateral ABCD in which ΔADC≅ΔABC. Which congruency criteria is used?

Which of the following should be the LAST sentence after rearrangement?

Question 45 State whether the statements are True or False. Mean can never be a fraction.

Which number is not a part of prime factor form of 90?

Which of the following is an algebraic expression(s)?

The sum of 11x2−8x+4 and 6x2+7x−10 is:

If Sam goes 6 m to the left from a point taken as 0, and then further 2 m to the left, he has travelled ___ m.-8

How many times a circular wheel of diameter 56 CM must rotate to go 704 m?

What is terminating?

Find the value of -8-2[6+4{7-(2.8+1.4)}]

What is additive inverse of-6/8

The circumference of a circle of diameter 10 cm is _____.

For the given right-angled triangle, which of the following is/are true? (h=hypotenuse, a and b are the perpendicular sides)

Statements: J # R, R © D, D F Conclusions: a) F $ R b) F % R

Question 4 (iii) If a = 2, b = -2, find the value of: a2−b2

Find the square of (101)2

Question 14 Simplify (i)(13+23+33)12(ii)(35)4(85)−12(325)6(iii)(127)−23(iv)⎡⎣((625)−12)−14⎤⎦2(v)913×27−12316×3−23 (vi)64−13[6413−6423](vii)813×161332−13

If the angles of a triangle are in the ratio 2:3:4, then the difference between the largest and the smallest angle is

Three cannons fire shots at intervals of 12 seconds, 18 seconds and 60 seconds respectively. If they start firing at the same time, then after how many seconds will they fire together again?

The diagram represents two inequations A and B on real number lines. Find A ∩ B’

Which is the equivalent fraction of 1218?

Which of the following could represent length of sides of a triangle?

Arjun: The amount of rope required to surround a figure exactly is called its area. Shubh: The amount of cloth required to cover a figure is called its area. Pick the correct option from the given options.

A circle is divided into four equal parts. One of the parts is again divided into two equal parts. If the area of the given circle is 400 metre square. What is the area of the shaded region? [3 MARKS]

If a set has n elements, then it has subsets.

Express 32000 as a product of powers of prime factors.

In the given figure, prove that: [3 MARKS] (i) ΔACB≅ΔECD (ii) AB=ED

Check weather themset of numbers from a PYTHAGOREAN TRIPLETS or not a)( 7,24,25) b)(40,42,58)

Definition of commutative property

Satyakam walks 17/12 km towards North from his house and then he takes right turn and walks 9/4 km to reach his office. How far is his office from his house?

Two complementary angles are in the ratio 3: 2. Then the measure of the bigger angle is ___ degrees.

Rahul covers a part of the journey at 20 km/hr and the remaining at 70 km/hr, taking total of 8 hours to cover the distance of 410 km. How many hours he has been driving at 20 km/hr?

Question 23 Fill in the blanks to make the statement true. Like terms in the expression n(n+1) + 6(n-1) are _ and _.