25365 + Interview Questions in Mathematics Page 128 InterviewSolution

6351.	पाठ में दिए गए दोहों की कोई पंक्ति कथन है और कोई कथन को प्रमाणित करने वाला उदाहरण। इन दोनों प्रकार की पंक्तियों को पहचान कर अलग-अलग लिखिए।
Answer» पाठ में दिए गए दोहों की कोई पंक्ति कथन है और कोई कथन को प्रमाणित करने वाला उदाहरण। इन दोनों प्रकार की पंक्तियों को पहचान कर अलग-अलग लिखिए।

Discussion

6352.	If y = 7x -1, what is the value of y when x = 0?
Answer» If y = 7x -1, what is the value of y when x = 0?

Discussion

6353.	Question 31The surface area of a cuboid formed by joining two cubes of side a face-to-face, is ___
Answer» Question 31 The surface area of a cuboid formed by joining two cubes of side a face-to-face, is ___

6353.

Question 31The surface area of a cuboid formed by joining two cubes of side a face-to-face, is ___

Answer»

Question 31

The surface area of a cuboid formed by joining two cubes of side a face-to-face, is ___

Discussion

6354.	Can sum of opposite angles of a quadrilateral be 350?
Answer» Can sum of opposite angles of a quadrilateral be 350?

Discussion

6355.	The expression (2+\sqrt2)^4 has value, lying between
Answer» The expression (2+\sqrt2)^4 has value, lying between

Discussion

6356.	Find the area of the right triangle PQY, right-angled at Q, having P as the center of the circle of radius 5 units. The length of the chord ZY is 8 units. square units
Answer» Find the area of the right triangle PQY, right-angled at Q, having P as the center of the circle of radius 5 units. The length of the chord ZY is 8 units. square units

Discussion

6357.	If (mn−1)2=(mn)2+1+2y, then y is equal to
Answer» If $(m n - 1)^{2} = (m n)^{2} + 1 + 2 y$ , then y is equal to

Discussion

6358.	Calculate the value of the expression using suitable identity (12×6)2
Answer» Calculate the value of the expression using suitable identity $(12 \times 6)^{2}$

Discussion

6359.	Volume of a cube having side 92 cm=
Answer» Volume of a cube having side 92 cm=

Discussion

6360.	Question 92 (iii) Factorise the following using the identity a2−b2=(a+b)(a−b).4x2−49y2
Answer» Question 92 (iii) Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$ $4 x^{2} - 49 y^{2}$

6360.

Question 92 (iii) Factorise the following using the identity a2−b2=(a+b)(a−b).4x2−49y2

Answer»

Question 92 (iii)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$4 x^{2} - 49 y^{2}$

Discussion

6361.	Let U be the universal set and A∪B∪C=U. Then [(A−B)∪(B−C)∪(C−A)]c is equal to
Answer» Let U be the universal set and $A \cup B \cup C = U$ . Then $[(A - B) \cup (B - C) \cup (C - A)]^{c}$ is equal to

Discussion

6362.	x^2-8x-1280 factorise
Answer» x^2-8x-1280 factorise

Discussion

6363.	Find the sum invested if the difference between S.I. and C.I. on a sum for 2 years at 8% per annum is ₹160.
Answer» Find the sum invested if the difference between S.I. and C.I. on a sum for 2 years at $8 %$ per annum is ₹160.

Discussion

6364.	Factorise Completely : 5b2+45b+90
Answer» Factorise Completely : $5 b^{2} + 45 b + 90$

Discussion

6365.	Observe the tables given below and in each case find whether x and y are inversely proportional : (i) x6101416y9152124 (ii) x5915345y18106302 (iii) x93636y41291
Answer» Observe the tables given below and in each case find whether x and y are inversely proportional : (i) $\begin{matrix} x & 6 & 10 & 14 & 16 y & 9 & 15 & 21 & 24 \end{matrix}$ (ii) $\begin{matrix} x & 5 & 9 & 15 & 3 & 45 y & 18 & 10 & 6 & 30 & 2 \end{matrix}$ (iii) $\begin{matrix} x & 9 & 3 & 6 & 36 y & 4 & 12 & 9 & 1 \end{matrix}$

6365.

Observe the tables given below and in each case find whether x and y are inversely proportional : (i) x6101416y9152124 (ii) x5915345y18106302 (iii) x93636y41291

Answer»

Observe the tables given below and in each case find whether x and y are inversely proportional :

(i) $\begin{matrix} x & 6 & 10 & 14 & 16 y & 9 & 15 & 21 & 24 \end{matrix}$

(ii) $\begin{matrix} x & 5 & 9 & 15 & 3 & 45 y & 18 & 10 & 6 & 30 & 2 \end{matrix}$

(iii) $\begin{matrix} x & 9 & 3 & 6 & 36 y & 4 & 12 & 9 & 1 \end{matrix}$

Discussion

6366.	Factorise: 4a2+4ab+b2
Answer» Factorise: $4 a^{2} + 4 a b + b^{2}$

Discussion

6367.	√1764 is
Answer» $\sqrt{1764}$ is

Discussion

6368.	Question 85State whether the following statement is true or false:There is no cube root of a negative integer.
Answer» Question 85 State whether the following statement is true or false: There is no cube root of a negative integer.

6368.

Question 85State whether the following statement is true or false:There is no cube root of a negative integer.

Answer»

Question 85

State whether the following statement is true or false:

There is no cube root of a negative integer.

Discussion

6369.	Number of outcomes when three identical dice are thrown together is
Answer» Number of outcomes when three identical dice are thrown together is

Discussion

6370.	Can you please tell me the formula for finding squares between 25 and 75. Can you also please tell the formula for finding squares between 75 and 125
Answer» Can you please tell me the formula for finding squares between 25 and 75. Can you also please tell the formula for finding squares between 75 and 125

Discussion

6371.	Question 3Decimal representation of a rational number cannot beA) TerminatingB) Non-terminatingC) Non-terminating repeatingD) Non-terminating non-repeating
Answer» Question 3 Decimal representation of a rational number cannot be A) Terminating B) Non-terminating C) Non-terminating repeating D) Non-terminating non-repeating

Discussion

6372.	There is a 2 - D plane filled with 3 digit, 2 digit and single digit numbers. A, B and C are 3 digit numbers. The digit at the hundreds place is the head and the digit at units place is tail of the number. There are no mirrors in this plane. So, no number can see its own tail. A, B and C are good friends. Since, A can see B's and C's tail, it tells them that they both are divisible by 4. B and C tell A that it is divisible by 2. One day a 3D Mathematician comes and adds A, B and C to form a 4 digit number. This new number (A + B + C), must be divisible by:
Answer» There is a 2 - D plane filled with 3 digit, 2 digit and single digit numbers. A, B and C are 3 digit numbers. The digit at the hundreds place is the head and the digit at units place is tail of the number. There are no mirrors in this plane. So, no number can see its own tail. A, B and C are good friends. Since, A can see B's and C's tail, it tells them that they both are divisible by 4. B and C tell A that it is divisible by 2. One day a 3D Mathematician comes and adds A, B and C to form a 4 digit number. This new number (A + B + C), must be divisible by:

Discussion

6373.	The area of following figure is:
Answer» The area of following figure is:

6373.

The area of following figure is:

Answer»

The area of following figure is:

Discussion

6374.	Question 111(i) At a birthday party, the children spin a wheel to get a gift. Find the probability of getting a ball ?
Answer» Question 111(i) At a birthday party, the children spin a wheel to get a gift. Find the probability of getting a ball ?

6374.

Question 111(i) At a birthday party, the children spin a wheel to get a gift. Find the probability of getting a ball ?

Answer»

Question 111(i)

At a birthday party, the children spin a wheel to get a gift.

Find the probability of getting a ball ?

Discussion

6375.	Question 145(ii) The table given below shows the distances, in kilometres, between four villages of a state. To find the distance between two villages, locate the square, where the row for one village and the column for the other village intersect If you drove from Himgaon to Sonapur and then from Sonapur to Rawalpur, how far would you drive?
Answer» Question 145(ii) The table given below shows the distances, in kilometres, between four villages of a state. To find the distance between two villages, locate the square, where the row for one village and the column for the other village intersect If you drove from Himgaon to Sonapur and then from Sonapur to Rawalpur, how far would you drive?

Discussion

6376.	Question 46(ii)The cost of a notebook is Rs. 10. Draw a graph after making a table showing the cost of 2,3,4..... notebooks. Use it to find the number of notebooks that can be purchased with Rs. 50.
Answer» Question 46(ii) The cost of a notebook is Rs. 10. Draw a graph after making a table showing the cost of 2,3,4..... notebooks. Use it to find the number of notebooks that can be purchased with Rs. 50.

Discussion

6377.	uising integration, find the area enclosed by the curve y =x- x2 and positive x-axis is is from x=0 to x=
Answer» uising integration, find the area enclosed by the curve y =x- x2 and positive x-axis is is from x=0 to x=

Discussion

6378.	Question 1 (vi)What will be the unit digit of the squares of the following number:26387
Answer» Question 1 (vi) What will be the unit digit of the squares of the following number: 26387

6378.

Question 1 (vi)What will be the unit digit of the squares of the following number:26387

Answer»

Question 1 (vi)

What will be the unit digit of the squares of the following number:

26387

Discussion

6379.	What is −7×−13?
Answer» What is $- 7 \times - 13$ ?

Discussion

6380.	28. What is difference between equations and identities?
Answer» 28. What is difference between equations and identities?

Discussion

6381.	Construct an isosceles triangle ABC in which base BC = 4.5 cm and altitude from A on BC is 3.8 cm.
Answer» Construct an isosceles triangle ABC in which base BC = 4.5 cm and altitude from A on BC is 3.8 cm.

Discussion

6382.	The definition of a polygon is a two-dimensional closed figure formed by ___ lines.
Answer» The definition of a polygon is a two-dimensional closed figure formed by ___ lines.

Discussion

6383.	A steamer goes down stream and covers the distance between two ports in 4 hours while it covers the same distance up stream in 5 hours. If the speed of the steamer upstream is 2 km/hour, find the speed of steamer in still water.
Answer» A steamer goes down stream and covers the distance between two ports in 4 hours while it covers the same distance up stream in 5 hours. If the speed of the steamer upstream is 2 km/hour, find the speed of steamer in still water.

Discussion

6384.	Question 103(ii)Verify - (- x) = x forx=−79
Answer» Question 103(ii) Verify - (- x) = x for $x = \frac{- 7}{9}$

Discussion

6385.	The child is not there..... Ques-How to take out Mark Price and discount if only CP is given or only SP is given.
Answer» The child is not there..... Ques-How to take out Mark Price and discount if only CP is given or only SP is given.

6385.

The child is not there..... Ques-How to take out Mark Price and discount if only CP is given or only SP is given.

Answer»

The child is not there.....

Ques-How to take out Mark Price and discount if only CP is given or only SP is given.

Discussion

6386.	if a no. (m) is chosen at random from the numbers -6,.-5,. -4,-3,-2,-1,0,1,2,3,4,5,6,.the probability such that m^3
Answer» if a no. (m) is chosen at random from the numbers -6,.-5,. -4,-3,-2,-1,0,1,2,3,4,5,6,.the probability such that m^3 <30 is ? 4

Discussion

6387.	The value of 2234 is(a) 2-16(b) 2-6(c) 216(d) 26
Answer» The value of $\sqrt[4]{\sqrt[3]{2^{2}}}$ is (a) $2^{\frac{- 1}{6}}$ (b) $2^{- 6}$ (c) $2^{\frac{1}{6}}$ (d) $2^{6}$

Discussion

6388.	Which of the following is/are concave quadrilaterals?
Answer» Which of the following is/are concave quadrilaterals?

6388.

Which of the following is/are concave quadrilaterals?

Answer»

Which of the following is/are concave quadrilaterals?

Discussion

6389.	Match the following algebraic expressions with their factorised form.
Answer» Match the following algebraic expressions with their factorised form.

Discussion

6390.	If two angles of a quadrilateral are 45o and 75o, sum of the other two angles is _____ .
Answer» If two angles of a quadrilateral are 45^o and 75^o, sum of the other two angles is _____ .

Discussion

6391.	To draw a pie chart, we need to represent each part of the data as a proportion of 360, because there are 360 degrees in a circle. For example, if 55 out of 270 vehicles are vans, we will represent this on the circle as a segment with an angle of: 5527×360=73 degrees. The pie chart below shows the percentages of blood types for a group of 200 people. a) How many people, in this group, have blood type AB? b) How many people, in this group, do not have blood type O? c) How many people, in this group, have blood types A or B?
Answer» To draw a pie chart, we need to represent each part of the data as a proportion of 360, because there are 360 degrees in a circle. For example, if 55 out of 270 vehicles are vans, we will represent this on the circle as a segment with an angle of: $\frac{55}{27} \times 360 = 73$ degrees. The pie chart below shows the percentages of blood types for a group of 200 people. a) How many people, in this group, have blood type AB? b) How many people, in this group, do not have blood type O? c) How many people, in this group, have blood types A or B?

Discussion

6392.	Question 99(i)Playing cardsFrom a pack of cards, the following cards are kept face down :Suhail wins if he picks up face card. Find probability of Suhail winning ?
Answer» Question 99(i) Playing cards From a pack of cards, the following cards are kept face down : Suhail wins if he picks up face card. Find probability of Suhail winning ?

6392.

Question 99(i)Playing cardsFrom a pack of cards, the following cards are kept face down :Suhail wins if he picks up face card. Find probability of Suhail winning ?

Answer»

Question 99(i)

Playing cards

From a pack of cards, the following cards are kept face down :

Suhail wins if he picks up face card. Find probability of Suhail winning ?

Discussion

6393.	Find the measure of ∠PQR, if ∠ZXY = 25°.
Answer» Find the measure of $∠$ PQR, if $∠$ ZXY = 25°.

Discussion

6394.	Find the simple interest for a sum of ₹ 25,000 invested for 2 years at 8 % per annum
Answer» Find the simple interest for a sum of ₹ 25,000 invested for 2 years at 8 % per annum

Discussion

6395.	The collection of all the points in a plane, which are at a fixed distance from a fixed point in the plane is called ______.
Answer» The collection of all the points in a plane, which are at a fixed distance from a fixed point in the plane is called ______.

Discussion

6396.	The length of a cuboid is twice its breadth. The breadth is twice its height. Find the ratio of the lateral surface area to the total surface area of the cuboid. Given that the height of the cuboid is 2 cm.
Answer» The length of a cuboid is twice its breadth. The breadth is twice its height. Find the ratio of the lateral surface area to the total surface area of the cuboid. Given that the height of the cuboid is $2 cm$ .

Discussion

6397.	Which of the following are correct regarding the given figure?
Answer» Which of the following are correct regarding the given figure?

Discussion

6398.	{ What is the sum of the digits of }(9999999999)^3}
Answer» { What is the sum of the digits of }(9999999999)^3}

Discussion

6399.	In the trapezium PQRS shown below, PQ is parallel to RS. Find its area.
Answer» In the trapezium PQRS shown below, PQ is parallel to RS. Find its area.

6399.

In the trapezium PQRS shown below, PQ is parallel to RS. Find its area.

Answer»

In the trapezium PQRS shown below, PQ is parallel to RS. Find its area.

Discussion

6400.	How many cubes of side length 3 can be fit in a cuboid of dimension 3×6×9?
Answer» How many cubes of side length 3 can be fit in a cuboid of dimension 3×6×9?

Discussion

Explore topic-wise InterviewSolutions in .

If y = 7x -1, what is the value of y when x = 0?

Question 31The surface area of a cuboid formed by joining two cubes of side a face-to-face, is ___

Can sum of opposite angles of a quadrilateral be 350?

The expression (2+\sqrt2)^4 has value, lying between

Find the area of the right triangle PQY, right-angled at Q, having P as the center of the circle of radius 5 units. The length of the chord ZY is 8 units. square units

If (mn−1)2=(mn)2+1+2y, then y is equal to

Calculate the value of the expression using suitable identity (12×6)2

Volume of a cube having side 92 cm=

Question 92 (iii) Factorise the following using the identity a2−b2=(a+b)(a−b).4x2−49y2

Let U be the universal set and A∪B∪C=U. Then [(A−B)∪(B−C)∪(C−A)]c is equal to

x^2-8x-1280 factorise

Find the sum invested if the difference between S.I. and C.I. on a sum for 2 years at 8% per annum is ₹160.

Factorise Completely : 5b2+45b+90

Observe the tables given below and in each case find whether x and y are inversely proportional : (i) x6101416y9152124 (ii) x5915345y18106302 (iii) x93636y41291

Factorise: 4a2+4ab+b2

√1764 is

Question 85State whether the following statement is true or false:There is no cube root of a negative integer.

Number of outcomes when three identical dice are thrown together is

Can you please tell me the formula for finding squares between 25 and 75. Can you also please tell the formula for finding squares between 75 and 125

Question 3Decimal representation of a rational number cannot beA) TerminatingB) Non-terminatingC) Non-terminating repeatingD) Non-terminating non-repeating

The area of following figure is:

Question 111(i) At a birthday party, the children spin a wheel to get a gift. Find the probability of getting a ball ?

Question 46(ii)The cost of a notebook is Rs. 10. Draw a graph after making a table showing the cost of 2,3,4..... notebooks. Use it to find the number of notebooks that can be purchased with Rs. 50.

uising integration, find the area enclosed by the curve y =x- x2 and positive x-axis is is from x=0 to x=

Question 1 (vi)What will be the unit digit of the squares of the following number:26387

What is −7×−13?

28. What is difference between equations and identities?

Construct an isosceles triangle ABC in which base BC = 4.5 cm and altitude from A on BC is 3.8 cm.

The definition of a polygon is a two-dimensional closed figure formed by ___ lines.

A steamer goes down stream and covers the distance between two ports in 4 hours while it covers the same distance up stream in 5 hours. If the speed of the steamer upstream is 2 km/hour, find the speed of steamer in still water.

Question 103(ii)Verify - (- x) = x forx=−79

The child is not there..... Ques-How to take out Mark Price and discount if only CP is given or only SP is given.

if a no. (m) is chosen at random from the numbers -6,.-5,. -4,-3,-2,-1,0,1,2,3,4,5,6,.the probability such that m^3

The value of 2234 is(a) 2-16(b) 2-6(c) 216(d) 26

Which of the following is/are concave quadrilaterals?

Match the following algebraic expressions with their factorised form.

If two angles of a quadrilateral are 45o and 75o, sum of the other two angles is _____ .

Question 99(i)Playing cardsFrom a pack of cards, the following cards are kept face down :Suhail wins if he picks up face card. Find probability of Suhail winning ?

Find the measure of ∠PQR, if ∠ZXY = 25°.

Find the simple interest for a sum of ₹ 25,000 invested for 2 years at 8 % per annum

The collection of all the points in a plane, which are at a fixed distance from a fixed point in the plane is called ______.

The length of a cuboid is twice its breadth. The breadth is twice its height. Find the ratio of the lateral surface area to the total surface area of the cuboid. Given that the height of the cuboid is 2 cm.

Which of the following are correct regarding the given figure?

{ What is the sum of the digits of }(9999999999)^3}

In the trapezium PQRS shown below, PQ is parallel to RS. Find its area.

How many cubes of side length 3 can be fit in a cuboid of dimension 3×6×9?