25365 + Interview Questions in Mathematics Page 243 InterviewSolution

12101.	Find the value of each of the following [4 MARKS] (i)(5)12×(5)32 (ii)(7)43×(7)23 (iii)4×(9)52×(9)−32
Answer» Find the value of each of the following [4 MARKS] $(i) (5)^{\frac{1}{2}} \times (5)^{\frac{3}{2}}$ $(i i) (7)^{\frac{4}{3}} \times (7)^{\frac{2}{3}}$ $(i i i) 4 \times (9)^{\frac{5}{2}} \times (9)^{- \frac{3}{2}}$

Discussion

12102.	A school conducted 5 terminals. The average score of John in first two terminals is 90, while in the remaining terminals his average score is 120. What will be his average score in all the 5 terminals?
Answer» A school conducted $5$ terminals. The average score of John in first two terminals is $90$ , while in the remaining terminals his average score is $120$ . What will be his average score in all the $5$ terminals?

Discussion

12103.	For triangles below, complete the congruence statement.ΔKJI≅
Answer» For triangles below, complete the congruence statement. $Δ K J I$ ≅

Discussion

12104.	Solve the following:A. 15 ÷ 37B. 240 ÷ 152
Answer» Solve the following: A. $15 \div \frac{3}{7}$ B. $240 \div \frac{15}{2}$

Discussion

12105.	(9+2√18)^1/2Simplify this
Answer» (9+2√18)^1/2 Simplify this

Discussion

12106.	Find 1072−752.
Answer» Find $107^{2} - 75^{2}$ .

Discussion

12107.	If A is a subset of B, then A ⋃ B ___.
Answer» If A is a subset of B, then A ⋃ B ___.

Discussion

12108.	A godwan measures 40 m ×25 m ×15 m. Find the maximum number of wooden cretes each measuring 1.5 m ×1.25 m ×0.5 m, that can be stored in the godown.
Answer» A godwan measures 40 m $\times$ 25 m $\times$ 15 m. Find the maximum number of wooden cretes each measuring 1.5 m $\times$ 1.25 m $\times$ 0.5 m, that can be stored in the godown.

Discussion

12109.	The measure of angle subtended by an arc at the centre of a circle is (double/ half) the measure of the angle subtended by the arc at any point on the circle.
Answer» The measure of angle subtended by an arc at the centre of a circle is (double/ half) the measure of the angle subtended by the arc at any point on the circle.

Discussion

12110.	Expand: [1/x + y/3]3
Answer» Expand: [1/x + y/3]³

Discussion

12111.	State true or false. (i) Cube of any odd number is even. (ii) A perfect cube does not end with two zeroes. (iii) If square of a number ends with 5, then its cube ends with 25. (iv) There is no perfect cube which ends with 8. (v) The cube of a two digit number may be a three digit number. (vi) The cube of a two digit number may have seven or more digits. (vii) The cube of a single digit number may be a single digit number.
Answer» State true or false. (i) Cube of any odd number is even. (ii) A perfect cube does not end with two zeroes. (iii) If square of a number ends with 5, then its cube ends with 25. (iv) There is no perfect cube which ends with 8. (v) The cube of a two digit number may be a three digit number. (vi) The cube of a two digit number may have seven or more digits. (vii) The cube of a single digit number may be a single digit number.

12111.

State true or false. (i) Cube of any odd number is even. (ii) A perfect cube does not end with two zeroes. (iii) If square of a number ends with 5, then its cube ends with 25. (iv) There is no perfect cube which ends with 8. (v) The cube of a two digit number may be a three digit number. (vi) The cube of a two digit number may have seven or more digits. (vii) The cube of a single digit number may be a single digit number.

Answer»

State true or false.

(i) Cube of any odd number is even.

(ii) A perfect cube does not end with two zeroes.

(iii) If square of a number ends with 5, then its cube ends with
25.

(iv) There is no perfect cube which ends with 8.

(v) The cube of a two digit number may be a three digit number.

(vi) The cube of a two digit number may have seven or more digits.

(vii) The cube of a single digit number may be a single digit
number.

Discussion

12112.	Question 4In figure, BA⊥AC,DE⊥DF such that BA =DE and BF =EC. Show that ΔABC≅ΔDEF
Answer» Question 4 In figure, $B A ⊥ A C, D E ⊥ D F$ such that BA =DE and BF =EC. Show that $Δ A B C ≅ Δ D E F$

Discussion

12113.	Joy Ltd. company bought a Building for ₹ 9,00,000 and the consideration was paid by issuing 10% Debentures of the normal (face) value of ₹ 100 each at a discount of 10%.Give Journal entries.
Answer» Joy Ltd. company bought a Building for ₹ 9,00,000 and the consideration was paid by issuing 10% Debentures of the normal (face) value of ₹ 100 each at a discount of 10%. Give Journal entries.

Discussion

12114.	Check whether 46656 is a perfect cube or not.
Answer» Check whether 46656 is a perfect cube or not.

Discussion

12115.	If x:y=2:3 and y:z=5:7, find x:y:z
Answer» If $x : y = 2 : 3$ and $y : z = 5 : 7$ , find $x : y : z$

Discussion

12116.	Find the square root of 31.36.
Answer» Find the square root of 31.36.

Discussion

12117.	What is the order of the symmetry of the given figure about its centre?
Answer» What is the order of the symmetry of the given figure about its centre?

Discussion

12118.	Observe the given pattern. 992 = 9801 9992 = 998001 Using the pattern, we get 99992 =
Answer» Observe the given pattern. 992 = 9801 9992 = 998001 Using the pattern, we get 99992 =

12118.

Observe the given pattern. 992 = 9801 9992 = 998001 Using the pattern, we get 99992 =

Answer»

Observe the given pattern.

992 = 9801

9992 = 998001

Using the pattern, we get 99992 =

Discussion

12119.	Find the compound interest to the nearest rupee on Rs 1200 for 2 ½ years at 10% per annum.
Answer» Find the compound interest to the nearest rupee on Rs 1200 for 2 ½ years at 10% per annum.

Discussion

12120.	If the median of the distribution given below is 28.5, find the values of x and y. Class intervalFrequency0−10510−20x20−302030−401540−50y50−605Total60
Answer» If the median of the distribution given below is 28.5, find the values of x and y. $\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 0 - 10 & 5 10 - 20 & x 20 - 30 & 20 30 - 40 & 15 40 - 50 & y 50 - 60 & 5 T o t a l & 60 \end{matrix}$

12120.

If the median of the distribution given below is 28.5, find the values of x and y. Class intervalFrequency0−10510−20x20−302030−401540−50y50−605Total60

Answer»

If the median of the distribution given below is 28.5, find the values of x and y.

$\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 0 - 10 & 5 10 - 20 & x 20 - 30 & 20 30 - 40 & 15 40 - 50 & y 50 - 60 & 5 T o t a l & 60 \end{matrix}$

Discussion

12121.	Question 43(iii)Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.(4,2),(2,4),(3,3),(5,4)
Answer» Question 43(iii) Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order. (4,2),(2,4),(3,3),(5,4)

Discussion

12122.	Using the numbers from 9 to 17, construct a 3 × 3 magic square. What is the magic sum here? What relation is there between the magic sum and the number in the central cell?
Answer» Using the numbers from 9 to 17, construct a 3 × 3 magic square. What is the magic sum here? What relation is there between the magic sum and the number in the central cell?

Discussion

12123.	I construct quadrilateral with 3 sides and 2 included angles being 75∘ and 105∘ respectively and no sides are equal. What is the type of quadrilateral I am constructing?
Answer» I construct quadrilateral with 3 sides and 2 included angles being $75^{\circ}$ and $105^{\circ}$ respectively and no sides are equal. What is the type of quadrilateral I am constructing?

Discussion

12124.	Question 50(i)Draw a graph for the radius and circumference of circles using a suitable scale.[Hint Take radius=7, 14, 21 units and so on.]From the graph,Find the circumference of the circle when the radius is 42 units.
Answer» Question 50(i) Draw a graph for the radius and circumference of circles using a suitable scale. [Hint Take radius=7, 14, 21 units and so on.] From the graph, Find the circumference of the circle when the radius is 42 units.

Discussion

12125.	Question 106State whether the statements are True or False.If diagonals of a quadrilateral are equal, it must be a rectangle.
Answer» Question 106 State whether the statements are True or False. If diagonals of a quadrilateral are equal, it must be a rectangle.

Discussion

12126.	The number of chlorine atoms in 20 mL of chlorine gas at STP is 1021. (Round off to the Nearest Integer).[Assume chlorine is an ideal gas at STPR=0.083 L bar mol−1K−1, NA=6.023×1023]
Answer» The number of chlorine atoms in 20 mL of chlorine gas at STP is $10^{21}$ . (Round off to the Nearest Integer). $[A s s u m e c h l o r i n e i s a n i d e a l g a s a t S T P R = 0.083 L b a r m o l^{- 1} K^{- 1}, N_{A} = 6.023 \times 10^{23}]$

Discussion

12127.	100 gms of a chicken dish has 75 gms of chicken, 20 gms of spices and 5 gms of salt in it. Draw a pie chart representing the given composition. [2 MARKS]
Answer» 100 gms of a chicken dish has 75 gms of chicken, 20 gms of spices and 5 gms of salt in it. Draw a pie chart representing the given composition. [2 MARKS]

Discussion

12128.	What are the properites of Parallelogram ?
Answer» What are the properites of Parallelogram ?

Discussion

12129.	The point of intersection of line x−34=y+2−1=z−6−2 and the plane x−7y+3z=15 is:
Answer» The point of intersection of line $\frac{x - 3}{4} = \frac{y + 2}{- 1} = \frac{z - 6}{- 2}$ and the plane $x - 7 y + 3 z = 15$ is:

Discussion

12130.	Find the value of x in the equationx3+4=2
Answer» Find the value of $x$ in the equation $\frac{x}{3} + 4 = 2$

Discussion

12131.	Root of (8+ 3*root7)
Answer» Root of (8+ 3*root7)

Discussion

12132.	The bar graph shows the percentage of valid voters in 5 villages in two years 2001 and 2005. Study the graph carefully to answer questions. Q. If the ratio of valid voters of village B in 2001 and invalid voters of village D in 2005 was 16:3, then total voters of village D in 2005 were what percent more or less than those of village B in 2001
Answer» The bar graph shows the percentage of valid voters in 5 villages in two years 2001 and 2005. Study the graph carefully to answer questions. Q. If the ratio of valid voters of village B in 2001 and invalid voters of village D in 2005 was 16:3, then total voters of village D in 2005 were what percent more or less than those of village B in 2001

Discussion

12133.	Question 6During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at Rs 1450 and two shirts marked at Rs 850 each?
Answer» Question 6 During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at Rs 1450 and two shirts marked at Rs 850 each?

Discussion

12134.	How many vertices does a decagon have?
Answer» How many vertices does a decagon have?

Discussion

12135.	Question 102Draw a histogram for the following data. ?Class interval10−1515−2020−2525−3030−3535−40Frequency309880582950
Answer» Question 102 Draw a histogram for the following data. ? $\begin{matrix} C l a s s i n t e r v a l & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 & 30 - 35 & 35 - 40 F r e q u e n c y & 30 & 98 & 80 & 58 & 29 & 50 \end{matrix}$

12135.

Question 102Draw a histogram for the following data. ?Class interval10−1515−2020−2525−3030−3535−40Frequency309880582950

Answer»

Question 102

Draw a histogram for the following data. ?

$\begin{matrix} C l a s s i n t e r v a l & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 & 30 - 35 & 35 - 40 F r e q u e n c y & 30 & 98 & 80 & 58 & 29 & 50 \end{matrix}$

Discussion

12136.	After getting two discounts, a shirt with a marked price of ₹150 is available at ₹105. If the second discount is 12.5%, find the first discount.
Answer» After getting two discounts, a shirt with a marked price of ₹150 is available at ₹105. If the second discount is 12.5%, find the first discount.

Discussion

12137.	The cube root of 36×48 is
Answer» The cube root of 36×48 is

Discussion

12138.	Solve the following equation: 3(b-4)=2(4-b)
Answer» Solve the following equation: 3(b-4)=2(4-b)

12138.

Solve the following equation: 3(b-4)=2(4-b)

Answer»

Solve the following equation:

3(b-4)=2(4-b)

Discussion

12139.	ab×pq×xy =
Answer» $\frac{a}{b} \times \frac{p}{q} \times \frac{x}{y}$ =

Discussion

12140.	36. The number of points having both coordinates as integers that lie in the interior of the triangle formled by (0,0),(0.41) and (41,0) is a) 901 b) 861 c) 820 d) 780
Answer» 36. The number of points having both coordinates as integers that lie in the interior of the triangle formled by (0,0),(0.41) and (41,0) is a) 901 b) 861 c) 820 d) 780

Discussion

12141.	25a2−4=
Answer» $25 a^{2} - 4 =$

Discussion

12142.	Question 10(b)In a college out of 4320 students, 2300 are girls. Find the ratio of:Number of boys to the number of girls.
Answer» Question 10(b) In a college out of 4320 students, 2300 are girls. Find the ratio of: Number of boys to the number of girls.

12142.

Question 10(b)In a college out of 4320 students, 2300 are girls. Find the ratio of:Number of boys to the number of girls.

Answer»

Question 10(b)

In a college out of 4320 students, 2300 are girls. Find the ratio of:

Number of boys to the number of girls.

Discussion

12143.	If the Euler load for a steel column is 1000 kN and crushing load is 1500 kN, the Rankine load is equal to
Answer» If the Euler load for a steel column is $1000 k N$ and crushing load is $1500 k N$ , the Rankine load is equal to

Discussion

12144.	Find the multiplicative inverse of each of the following numbers:
Answer» Find the multiplicative inverse of each of the following numbers:

12144.

Find the multiplicative inverse of each of the following numbers:

Answer»

Find the multiplicative inverse of each of the following numbers:

Discussion

12145.	Question 178(iii) If a = -1, b = 2, then find the value of the following. ab×ba
Answer» Question 178(iii) If a = -1, b = 2, then find the value of the following. $a^{b} \times b^{a}$

12145.

Question 178(iii) If a = -1, b = 2, then find the value of the following. ab×ba

Answer»

Question 178(iii)

If a = -1, b = 2, then find the value of the following.
$a^{b} \times b^{a}$

Discussion

12146.	Two adjacent sides of a rectangle are 3x2+4y2+4xy and −x2−2x−4xy. The perimeter of the rectangle is .
Answer» Two adjacent sides of a rectangle are $3 x^{2} + 4 y^{2} + 4 x y a n d - x^{2} - 2 x - 4 x y .$ The perimeter of the rectangle is .

Discussion

12147.	Water and Acid are mixed in the ratio 3 : 4 to make a liquid. On mixing 20 more litres of water , the ratio changed to 7 : 4. Find the original quantity of water content in the mixture.
Answer» Water and Acid are mixed in the ratio 3 : 4 to make a liquid. On mixing 20 more litres of water , the ratio changed to 7 : 4. Find the original quantity of water content in the mixture.

12147.

Water and Acid are mixed in the ratio 3 : 4 to make a liquid. On mixing 20 more litres of water , the ratio changed to 7 : 4. Find the original quantity of water content in the mixture.

Answer»

Water and Acid are mixed in the ratio 3 : 4 to make a liquid. On mixing 20 more litres of water , the ratio changed to 7 : 4.

Find the original quantity of water content in the mixture.

Discussion

12148.	Use long division to divide 3x4−5x2+3 by x+2.
Answer» Use long division to divide $3 x^{4} - 5 x^{2} + 3$ by x+2.

Discussion

12149.	What is rational number?
Answer» What is rational number?

Discussion

12150.	Simplify:
Answer» Simplify:

12150.

Simplify:

Answer»

Simplify:

Discussion

Explore topic-wise InterviewSolutions in .

Find the value of each of the following [4 MARKS] (i)(5)12×(5)32 (ii)(7)43×(7)23 (iii)4×(9)52×(9)−32

A school conducted 5 terminals. The average score of John in first two terminals is 90, while in the remaining terminals his average score is 120. What will be his average score in all the 5 terminals?

For triangles below, complete the congruence statement.ΔKJI≅

Solve the following:A. 15 ÷ 37B. 240 ÷ 152

(9+2√18)^1/2Simplify this

Find 1072−752.

If A is a subset of B, then A ⋃ B ___.

A godwan measures 40 m ×25 m ×15 m. Find the maximum number of wooden cretes each measuring 1.5 m ×1.25 m ×0.5 m, that can be stored in the godown.

The measure of angle subtended by an arc at the centre of a circle is (double/ half) the measure of the angle subtended by the arc at any point on the circle.

Expand: [1/x + y/3]3

Question 4In figure, BA⊥AC,DE⊥DF such that BA =DE and BF =EC. Show that ΔABC≅ΔDEF

Joy Ltd. company bought a Building for ​₹ 9,00,000 and the consideration was paid by issuing 10% Debentures of the normal (face) value of ​₹ 100 each at a discount of 10%.Give Journal entries.

Check whether 46656 is a perfect cube or not.

If x:y=2:3 and y:z=5:7, find x:y:z

Find the square root of 31.36.

What is the order of the symmetry of the given figure about its centre?

Observe the given pattern. 992 = 9801 9992 = 998001 Using the pattern, we get 99992 =

Find the compound interest to the nearest rupee on Rs 1200 for 2 ½ years at 10% per annum.

If the median of the distribution given below is 28.5, find the values of x and y. Class intervalFrequency0−10510−20x20−302030−401540−50y50−605Total60

Question 43(iii)Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.(4,2),(2,4),(3,3),(5,4)

Using the numbers from 9 to 17, construct a 3 × 3 magic square. What is the magic sum here? What relation is there between the magic sum and the number in the central cell?

I construct quadrilateral with 3 sides and 2 included angles being 75∘ and 105∘ respectively and no sides are equal. What is the type of quadrilateral I am constructing?

Question 50(i)Draw a graph for the radius and circumference of circles using a suitable scale.[Hint Take radius=7, 14, 21 units and so on.]From the graph,Find the circumference of the circle when the radius is 42 units.

Question 106State whether the statements are True or False.If diagonals of a quadrilateral are equal, it must be a rectangle.

The number of chlorine atoms in 20 mL of chlorine gas at STP is 1021. (Round off to the Nearest Integer).[Assume chlorine is an ideal gas at STPR=0.083 L bar mol−1K−1, NA=6.023×1023]

100 gms of a chicken dish has 75 gms of chicken, 20 gms of spices and 5 gms of salt in it. Draw a pie chart representing the given composition. [2 MARKS]

What are the properites of Parallelogram ?

The point of intersection of line x−34=y+2−1=z−6−2 and the plane x−7y+3z=15 is:

Find the value of x in the equationx3+4=2

Root of (8+ 3*root7)

Question 6During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at Rs 1450 and two shirts marked at Rs 850 each?

How many vertices does a decagon have?

Question 102Draw a histogram for the following data. ?Class interval10−1515−2020−2525−3030−3535−40Frequency309880582950

After getting two discounts, a shirt with a marked price of ₹150 is available at ₹105. If the second discount is 12.5%, find the first discount.

The cube root of 36×48 is

Solve the following equation: 3(b-4)=2(4-b)

ab×pq×xy =

36. The number of points having both coordinates as integers that lie in the interior of the triangle formled by (0,0),(0.41) and (41,0) is a) 901 b) 861 c) 820 d) 780

25a2−4=

Question 10(b)In a college out of 4320 students, 2300 are girls. Find the ratio of:Number of boys to the number of girls.

If the Euler load for a steel column is 1000 kN and crushing load is 1500 kN, the Rankine load is equal to

Find the multiplicative inverse of each of the following numbers:

Question 178(iii) If a = -1, b = 2, then find the value of the following. ab×ba

Two adjacent sides of a rectangle are 3x2+4y2+4xy and −x2−2x−4xy. The perimeter of the rectangle is .

Water and Acid are mixed in the ratio 3 : 4 to make a liquid. On mixing 20 more litres of water , the ratio changed to 7 : 4. Find the original quantity of water content in the mixture.

Use long division to divide 3x4−5x2+3 by x+2.

What is rational number?

Simplify:

Joy Ltd. company bought a Building for ₹ 9,00,000 and the consideration was paid by issuing 10% Debentures of the normal (face) value of ₹ 100 each at a discount of 10%.Give Journal entries.