19743 + Interview Questions in Mathematics Page 96 InterviewSolution

4751.	If ΔABC and ΔPQR are congruent to each other, then the measure of ∠R is degrees.
Answer» If ΔABC and ΔPQR are congruent to each other, then the measure of ∠R is degrees.

Discussion

4752.	If on a particular stretch of road, vehicles are moving at a speed of 40,45,48,54 and 60 kmph, then the space mean speed is ____kmph.48.43
Answer» If on a particular stretch of road, vehicles are moving at a speed of $40, 45, 48, 54$ and $60 k m p h$ , then the space mean speed is ____kmph. 48.43

Discussion

4753.	Match these parts of laws of exponents with their equivalent counterparts.
Answer» Match these parts of laws of exponents with their equivalent counterparts.

Discussion

4754.	137. a+b+c=0 , (a(b-c)) +(b(c-a))+(c(a-b))=0 prove that
Answer» 137. a+b+c=0 , (a(b-c)) +(b(c-a))+(c(a-b))=0 prove that

Discussion

4755.	33. A bicycle makes 5000 revolutions in moving 11 km. Find the diameter of the wheel]
Answer» 33. A bicycle makes 5000 revolutions in moving 11 km. Find the diameter of the wheel]

Discussion

4756.	Match the fractions on number lines with respect to fractions represented in numericals.
Answer» Match the fractions on number lines with respect to fractions represented in numericals.

Discussion

4757.	Simplify: 4912÷18
Answer» Simplify: $49 \frac{1}{2} \div 18$

Discussion

4758.	Four corners of the square of the area 15 cm2 are folded as shown in the first two figures. It is unfolded and cut along the creases to get a new square. Find the area of the new square.
Answer» Four corners of the square of the area $15 c m^{2}$ are folded as shown in the first two figures. It is unfolded and cut along the creases to get a new square. Find the area of the new square.

4758.

Four corners of the square of the area 15 cm2 are folded as shown in the first two figures. It is unfolded and cut along the creases to get a new square. Find the area of the new square.

Answer»

Four corners of the square of the area $15 c m^{2}$ are folded as shown in the first two figures. It is unfolded and cut along the creases to get a new square. Find the area of the new square.

Discussion

4759.	2x2yz×5xy2z2= ___________________
Answer» $2 x^{2} y z \times 5 x y^{2} z^{2}$ = ___________________

Discussion

4760.	Simplify and express the answer in exponential form((72)4 × 78) ÷ (74)2
Answer» Simplify and express the answer in exponential form $({(7^{2})}^{4} \times 7^{8}) \div {(7^{4})}^{2}$

Discussion

4761.	The perimeter of a square is 32 cm and perimeter of a rectangle is 40 cm. If the breadth of the rectangle is 4 cm, do they have same area?
Answer» The perimeter of a square is 32 cm and perimeter of a rectangle is 40 cm. If the breadth of the rectangle is 4 cm, do they have same area?

Discussion

4762.	Question 9 : Rafiq exercised for 36 of an hour, while Rohit exercised for 34 of an hour. Who exercised for a longer time?
Answer» Question 9 : Rafiq exercised for $\frac{3}{6}$ of an hour, while Rohit exercised for $\frac{3}{4}$ of an hour. Who exercised for a longer time?

4762.

Question 9 : Rafiq exercised for 36 of an hour, while Rohit exercised for 34 of an hour. Who exercised for a longer time?

Answer»

Question 9 :

Rafiq exercised for $\frac{3}{6}$ of an hour, while Rohit exercised for $\frac{3}{4}$ of an hour. Who exercised for a longer time?

Discussion

4763.	Which one of the following statements are true?
Answer» Which one of the following statements are true?

Discussion

4764.	The value of isA. 1B. 0C. − 1D.
Answer» The value of is A. 1 B. 0 C. − 1 D.

4764.

The value of isA. 1B. 0C. − 1D.

Answer»

The value of
is

A. 1

B. 0

C. − 1

D.

Discussion

4765.	If the side of a triangle are produced as shown in the figure, then x + y + z = ____.
Answer» If the side of a triangle are produced as shown in the figure, then x + y + z = ____.

4765.

If the side of a triangle are produced as shown in the figure, then x + y + z = ____.

Answer»

If the side of a triangle are produced as shown in the figure, then x + y + z = ____.

Discussion

4766.	Three rays originates from a point as shown. ∠AOB is 145∘ and ∠AOC is 45∘. Then ∠BOC is ___.
Answer» Three rays originates from a point as shown. $∠$ AOB is $145^{\circ}$ and ∠AOC is $45^{\circ}$ . Then $∠$ BOC is ___.

4766.

Three rays originates from a point as shown. ∠AOB is 145∘ and ∠AOC is 45∘. Then ∠BOC is ___.

Answer»

Three rays originates from a point as shown. $∠$ AOB is $145^{\circ}$ and ∠AOC is $45^{\circ}$ . Then $∠$ BOC is ___.

Discussion

4767.	Apoint on the hypotenuse of a triangle is at distance aand bfrom the sides of the triangle.Showthat the minimum length of the hypotenuse is
Answer» A point on the hypotenuse of a triangle is at distance a and b from the sides of the triangle. Show that the minimum length of the hypotenuse is

4767.

Apoint on the hypotenuse of a triangle is at distance aand bfrom the sides of the triangle.Showthat the minimum length of the hypotenuse is

Answer»

A
point on the hypotenuse of a triangle is at distance a
and b
from the sides of the triangle.

Show
that the minimum length of the hypotenuse is

Discussion

4768.	Mark the correct alternative in the following question:The product of a and b is added to their sum is written as(a) ab + a + b (b) a + b - ab (c) a + ab (d) b + ab
Answer» Mark the correct alternative in the following question: The product of a and b is added to their sum is written as (a) ab + a + b (b) a + b $-$ ab (c) a + ab (d) b + ab

Discussion

4769.	Take any point O in the interior of a triangle PQR. Is(i) OP+OQ>PQ?(ii) OQ+OR>QR?(iii) OR+OP>RP?
Answer» Take any point $O$ in the interior of a triangle $P Q R$ . Is $(i) O P + O Q > P Q$ ? $(i i) O Q + O R > Q R$ ? $(i i i) O R + O P > R P$ ?

4769.

Take any point O in the interior of a triangle PQR. Is(i) OP+OQ>PQ?(ii) OQ+OR>QR?(iii) OR+OP>RP?

Answer»

Take any point $O$ in the interior of a triangle $P Q R$ .

Is

$(i) O P + O Q > P Q$ ?

$(i i) O Q + O R > Q R$ ?

$(i i i) O R + O P > R P$ ?

Discussion

4770.	Find the pairs of numbers in which square of one number is square root of the other number.
Answer» Find the pairs of numbers in which square of one number is square root of the other number.

Discussion

4771.	A consumer spends Rs. 60 on a good priced at Rs. 1 per unit. When the price rises by 100 per cent, he continues to spend Rs. 60 on the good. Calculate the price elasticity of demand by percentage method.
Answer» A consumer spends Rs. 60 on a good priced at Rs. 1 per unit. When the price rises by 100 per cent, he continues to spend Rs. 60 on the good. Calculate the price elasticity of demand by percentage method.

Discussion

4772.	if the value of x+y3 = 7, find the value of x+y
Answer» if the value of x+y3 = 7, find the value of x+y

Discussion

4773.	Ms. Anita has to drive from Jhareda to Ganwari. She measures a distance of 3.5 cm between these villages on the map. What is the actual distance between the villages if the map scale is 1 cm = 10 km?
Answer» Ms. Anita has to drive from Jhareda to Ganwari. She measures a distance of 3.5 cm between these villages on the map. What is the actual distance between the villages if the map scale is 1 cm = 10 km?

Discussion

4774.	In a box, 5 cherries are arranged in a row. Find the total number of cherries arranged in a box with 6 rows.
Answer» In a box, 5 cherries are arranged in a row. Find the total number of cherries arranged in a box with 6 rows.

Discussion

4775.	Which of the following should be the FOURTH sentence after rearrangement?
Answer» Which of the following should be the FOURTH sentence after rearrangement?

Discussion

4776.	In the figure below, lines XY and MN intersect at point O. If ∠POY=90∘ and A:B=2:3, find C2.
Answer» In the figure below, lines XY and MN intersect at point O. If $∠ P O Y = 90^{\circ}$ and $A : B = 2 : 3$ , find $\frac{C}{2}$ .

4776.

In the figure below, lines XY and MN intersect at point O. If ∠POY=90∘ and A:B=2:3, find C2.

Answer»

In the figure below, lines XY and MN intersect at point O. If $∠ P O Y = 90^{\circ}$ and $A : B = 2 : 3$ , find $\frac{C}{2}$ .

Discussion

4777.	Simplify and write the expression in exponential form: 43 x 4−2 x 162
Answer» Simplify and write the expression in exponential form: $4^{3}$ x $4^{- 2}$ x $16^{2}$

Discussion

4778.	Write the complement of an angle of measure x0
Answer» Write the complement of an angle of measure $x^{0}$

Discussion

4779.	Which of the following pair of quantities cannot be simultaneously
Answer» Which of the following pair of quantities cannot be simultaneously

Discussion

4780.	In a triangle ABC, E is the mid-point of median AD. Show that ar(BED) =14ar(ABC).
Answer» $In a triangle ABC, E is the mid-point of median AD. Show that ar(BED) = \frac{1}{4} a r (A B C) .$

Discussion

4781.	Question 3‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, than the two triangles must be congruent’. Is the statement true? Why?
Answer» Question 3 ‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, than the two triangles must be congruent’. Is the statement true? Why?

Discussion

4782.	Solve the following(a) p+4=15(b) m−9=4(c) x+2x+1=4x+6(d) 9a−3a−4a−6=0
Answer» Solve the following (a) $p + 4 = 15$ (b) $m - 9 = 4$ (c) $x + 2 x + 1 = 4 x + 6$ (d) $9 a - 3 a - 4 a - 6 = 0$

4782.

Solve the following(a) p+4=15(b) m−9=4(c) x+2x+1=4x+6(d) 9a−3a−4a−6=0

Answer»

Solve the following

(a) $p + 4 = 15$

(b) $m - 9 = 4$

(c) $x + 2 x + 1 = 4 x + 6$

(d) $9 a - 3 a - 4 a - 6 = 0$

Discussion

4783.	It’s Earth 2. Everything here is the same as on our planet Earth, but the only difference is that here, the occupants are numbers form our world. Bill is the only human from Earth 1 to travel to Earth 2. As you progress along the chapter, Bill observes the way the occupants (numbers) of Earth 2 behave and would eventually realize that the laws of numbers hold good everywhere in the universe! So, Bill enters a room, whose nameplate read, Room N. He notices that, inside the room, the occupants were numbers which he used on a daily basis to count stuff around. If Bill calls the smallest number among them, which number would turn up? ___
Answer» It’s Earth 2. Everything here is the same as on our planet Earth, but the only difference is that here, the occupants are numbers form our world. Bill is the only human from Earth 1 to travel to Earth 2. As you progress along the chapter, Bill observes the way the occupants (numbers) of Earth 2 behave and would eventually realize that the laws of numbers hold good everywhere in the universe! So, Bill enters a room, whose nameplate read, Room N. He notices that, inside the room, the occupants were numbers which he used on a daily basis to count stuff around. If Bill calls the smallest number among them, which number would turn up? ___

4783.

It’s Earth 2. Everything here is the same as on our planet Earth, but the only difference is that here, the occupants are numbers form our world. Bill is the only human from Earth 1 to travel to Earth 2. As you progress along the chapter, Bill observes the way the occupants (numbers) of Earth 2 behave and would eventually realize that the laws of numbers hold good everywhere in the universe! So, Bill enters a room, whose nameplate read, Room N. He notices that, inside the room, the occupants were numbers which he used on a daily basis to count stuff around. If Bill calls the smallest number among them, which number would turn up? ___

Answer»

It’s Earth 2. Everything here is the same as on our planet Earth, but the only difference is that here, the occupants are numbers form our world. Bill is the only human from Earth 1 to travel to Earth 2. As you progress along the chapter, Bill observes the way the occupants (numbers) of Earth 2 behave and would eventually realize that the laws of numbers hold good everywhere in the universe!

So, Bill enters a room, whose nameplate read, Room N. He notices that, inside the room, the occupants were numbers which he used on a daily basis to count stuff around.

If Bill calls the smallest number among them, which number would turn up?

___

Discussion

4784.	Ramanuja was born in which century?
Answer» Ramanuja was born in which century?

Discussion

4785.	Which of the following quadrilateral is a parallelogram with all sides equal?
Answer» Which of the following quadrilateral is a parallelogram with all sides equal?

Discussion

4786.	{ †ext { solve for } } { x , y , z : x y + 2 x - y + 1 = 0 ; y z - 3 y - 2 z } { + 4 = 0 ; z x - 3 x - z + 1 = 0
Answer» { †ext { solve for } } { x , y , z : x y + 2 x - y + 1 = 0 ; y z - 3 y - 2 z } { + 4 = 0 ; z x - 3 x - z + 1 = 0

Discussion

4787.	The minimum value of 3x + 5y such that:3x+5y≤154x+9y≤813x+2y≤2x≥0, y≥0is ........................ 0
Answer» $The minimum value of 3x + 5y such that:$ $3 x + 5 y \leq 15$ $4 x + 9 y \leq 8$ $13 x + 2 y \leq 2$ $x \geq 0, y \geq 0$ $is ........................$ 0

Discussion

4788.	Which of the following is a like term with 10x2?
Answer» Which of the following is a like term with $10 x^{2}$ ?

Discussion

4789.	Question 1 (iv)Find the square roots of each of the following numbers by Division method:529
Answer» Question 1 (iv) Find the square roots of each of the following numbers by Division method: 529

4789.

Question 1 (iv)Find the square roots of each of the following numbers by Division method:529

Answer»

Question 1 (iv)

Find the square roots of each of the following numbers by Division method:

529

Discussion

4790.	Identify the exponent of z in the algebraic expression 8x5y3z+4xy+16.1
Answer» Identify the exponent of $z$ in the algebraic expression $8 x^{5} y^{3} z + 4 x y + 16$ . 1

Discussion

4791.	Tom wants to pour some liquid in a jar. Which of the following options can be used for jar?
Answer» Tom wants to pour some liquid in a jar. Which of the following options can be used for jar?

Discussion

4792.	Using the terms given below form the sets of like terms:
Answer» Using the terms given below form the sets of like terms:

4792.

Using the terms given below form the sets of like terms:

Answer»

Using the terms given below form the sets of like terms:

Discussion

4793.	“When a number in the index form is raised to another index the base is raised to the product of these two indices.” Which law of indices does this statement correspond to?
Answer» “When a number in the index form is raised to another index the base is raised to the product of these two indices.” Which law of indices does this statement correspond to?

Discussion

4794.	A statue 8 meters high standing on the top of a tower 64 meters high, on the bank of a river, subtends at a point A on the opposite bank, directly facing the tower, the same angle as subtended at the same point A by man of height 2 meters standing at the base of the tower, Prove that the breadth of the river is 16√6 meters.
Answer» A statue 8 meters high standing on the top of a tower 64 meters high, on the bank of a river, subtends at a point A on the opposite bank, directly facing the tower, the same angle as subtended at the same point A by man of height 2 meters standing at the base of the tower, Prove that the breadth of the river is $16 \sqrt{6}$ meters.

Discussion

4795.	Rhombus has a perimeter of 28 cm, then what will be the length of its side?
Answer» Rhombus has a perimeter of 28 cm, then what will be the length of its side?

Discussion

4796.	Question 2(iv)Write the additive inverse of each of the following:−29
Answer» Question 2(iv) Write the additive inverse of each of the following: $\frac{- 2}{9}$

Discussion

4797.	(34)5÷(35)5 is equal to
Answer» ${(\frac{3}{4})}^{5} \div {(\frac{3}{5})}^{5}$ is equal to

Discussion

4798.	Weight of 8 identical article is 4.8 kg . what's the weight of 11 such identical?
Answer» Weight of 8 identical article is 4.8 kg . what's the weight of 11 such identical?

Discussion

4799.	A carpenter had a board which measured 3 m by 2m. she cut out a rectangular piece of 250 cm by 90 cm. The ratio of the area of cut out piece and the remaining piece ___ .
Answer» A carpenter had a board which measured 3 m by 2m. she cut out a rectangular piece of 250 cm by 90 cm. The ratio of the area of cut out piece and the remaining piece ___ .

Discussion

4800.	5. A car has wheels whixh is 80 cm in diameter.how many complete revolution does each wheel make in 10 min.when the car is travelling at a speed of 66 km/h
Answer» 5. A car has wheels whixh is 80 cm in diameter.how many complete revolution does each wheel make in 10 min.when the car is travelling at a speed of 66 km/h

Discussion

Explore topic-wise InterviewSolutions in .

If ΔABC and ΔPQR are congruent to each other, then the measure of ∠R is degrees.

If on a particular stretch of road, vehicles are moving at a speed of 40,45,48,54 and 60 kmph, then the space mean speed is ____kmph.48.43

Match these parts of laws of exponents with their equivalent counterparts.

137. a+b+c=0 , (a(b-c)) +(b(c-a))+(c(a-b))=0 prove that

33. A bicycle makes 5000 revolutions in moving 11 km. Find the diameter of the wheel]

Match the fractions on number lines with respect to fractions represented in numericals.

Simplify: 4912÷18

Four corners of the square of the area 15 cm2 are folded as shown in the first two figures. It is unfolded and cut along the creases to get a new square. Find the area of the new square.

2x2yz×5xy2z2= ___________________

Simplify and express the answer in exponential form((72)4 × 78) ÷ (74)2

The perimeter of a square is 32 cm and perimeter of a rectangle is 40 cm. If the breadth of the rectangle is 4 cm, do they have same area?

Question 9 : Rafiq exercised for 36 of an hour, while Rohit exercised for 34 of an hour. Who exercised for a longer time?

Which one of the following statements are true?

The value of isA. 1B. 0C. − 1D.

If the side of a triangle are produced as shown in the figure, then x + y + z = ____.

Three rays originates from a point as shown. ∠AOB is 145∘ and ∠AOC is 45∘. Then ∠BOC is ___.

Apoint on the hypotenuse of a triangle is at distance aand bfrom the sides of the triangle.Showthat the minimum length of the hypotenuse is

Mark the correct alternative in the following question:The product of a and b is added to their sum is written as(a) ab + a + b (b) a + b - ab (c) a + ab (d) b + ab

Take any point O in the interior of a triangle PQR. Is(i) OP+OQ&gt;PQ?(ii) OQ+OR&gt;QR?(iii) OR+OP&gt;RP?

Find the pairs of numbers in which square of one number is square root of the other number.

A consumer spends Rs. 60 on a good priced at Rs. 1 per unit. When the price rises by 100 per cent, he continues to spend Rs. 60 on the good. Calculate the price elasticity of demand by percentage method.

if the value of x+y3 = 7, find the value of x+y

Ms. Anita has to drive from Jhareda to Ganwari. She measures a distance of 3.5 cm between these villages on the map. What is the actual distance between the villages if the map scale is 1 cm = 10 km?

In a box, 5 cherries are arranged in a row. Find the total number of cherries arranged in a box with 6 rows.

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

In the figure below, lines XY and MN intersect at point O. If ∠POY=90∘ and A:B=2:3, find C2.

Simplify and write the expression in exponential form: 43 x 4−2 x 162

Write the complement of an angle of measure x0

Which of the following pair of quantities cannot be simultaneously

In a triangle ABC, E is the mid-point of median AD. Show that ar(BED) =14ar(ABC).

Question 3‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, than the two triangles must be congruent’. Is the statement true? Why?

Solve the following(a) p+4=15(b) m−9=4(c) x+2x+1=4x+6(d) 9a−3a−4a−6=0

Ramanuja was born in which century?

Which of the following quadrilateral is a parallelogram with all sides equal?

{ †ext { solve for } } { x , y , z : x y + 2 x - y + 1 = 0 ; y z - 3 y - 2 z } { + 4 = 0 ; z x - 3 x - z + 1 = 0

The minimum value of 3x + 5y such that:3x+5y≤154x+9y≤813x+2y≤2x≥0, y≥0is ........................ 0

Which of the following is a like term with 10x2?

Question 1 (iv)Find the square roots of each of the following numbers by Division method:529

Identify the exponent of z in the algebraic expression 8x5y3z+4xy+16.1

Tom wants to pour some liquid in a jar. Which of the following options can be used for jar?

Using the terms given below form the sets of like terms:

“When a number in the index form is raised to another index the base is raised to the product of these two indices.” Which law of indices does this statement correspond to?

Rhombus has a perimeter of 28 cm, then what will be the length of its side?

Question 2(iv)Write the additive inverse of each of the following:−29

(34)5÷(35)5 is equal to

Weight of 8 identical article is 4.8 kg . what's the weight of 11 such identical?

A carpenter had a board which measured 3 m by 2m. she cut out a rectangular piece of 250 cm by 90 cm. The ratio of the area of cut out piece and the remaining piece ___ .

5. A car has wheels whixh is 80 cm in diameter.how many complete revolution does each wheel make in 10 min.when the car is travelling at a speed of 66 km/h

Take any point O in the interior of a triangle PQR. Is(i) OP+OQ>PQ?(ii) OQ+OR>QR?(iii) OR+OP>RP?