25365 + Interview Questions in Mathematics Page 260 InterviewSolution

12951.	Question 94 (i)Carry out the following division:51x3y2z ÷ 17xyz
Answer» Question 94 (i) Carry out the following division: $51 x^{3} y^{2} z \div 17 x y z$

12951.

Question 94 (i)Carry out the following division:51x3y2z ÷ 17xyz

Answer»

Question 94 (i)

Carry out the following division:

$51 x^{3} y^{2} z \div 17 x y z$

Discussion

12952.	In the given figure, if AB = AD and CB = CD, then which of the following is true ?
Answer» In the given figure, if AB = AD and CB = CD, then which of the following is true ?

12952.

In the given figure, if AB = AD and CB = CD, then which of the following is true ?

Answer»

In the given figure, if AB = AD and CB = CD, then which of the following is true ?

Discussion

12953.	Does proportionality constants remain always constant or not . Like as the gravitational contant (G) which is universal constant.
Answer» Does proportionality constants remain always constant or not . Like as the gravitational contant (G) which is universal constant.

Discussion

12954.	Evaluate (13+23+33+43)−32.
Answer» Evaluate $(1^{3} + 2^{3} + 3^{3} + 4^{3})^{\frac{- 3}{2}} .$

Discussion

12955.	Turtles are found along the stretch of 2 and 24 km, and 3 and 14 km.Calculate the combined distance.
Answer» Turtles are found along the stretch of $2$ and $\frac{2}{4} k m$ , and $3$ and $\frac{1}{4} k m$ . Calculate the combined distance.

Discussion

12956.	The digit in the units place in the cube of 298 is
Answer» The digit in the units place in the cube of 298 is

Discussion

12957.	Draw the graph of .
Answer» Draw the graph of .

Discussion

12958.	Question 16a2−b2 is equal toa) (a−b)2b) (a−b)(a−b)c) (a+b)(a−b)d) (a+b)(a+b)
Answer» Question 16 $a^{2} - b^{2}$ is equal to a) $(a - b)^{2}$ b) $(a - b) (a - b)$ c) $(a + b) (a - b)$ d) $(a + b) (a + b)$

Discussion

12959.	Find out the wrong number in the series given below :1,4,13,38,121,364
Answer» Find out the wrong number in the series given below : $1, 4, 13, 38, 121, 364$

Discussion

12960.	Using the numbers from 5 to 13, 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 5 to 13, 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

12961.	Shalini deposited ₹4,00,000 in a bank where she was promised an interest of 10%. She deposited it for a period of two years. Find the difference in the amount if the interest is calculated in a compounded manner to the amount interested in a simple manner.
Answer» Shalini deposited ₹4,00,000 in a bank where she was promised an interest of 10%. She deposited it for a period of two years. Find the difference in the amount if the interest is calculated in a compounded manner to the amount interested in a simple manner.

Discussion

12962.	Draw a line segment AB = 5.5 cm. Mark a point P, such that PA = 6 cm and PB = 4.8 cm. From the point P, draw perpendicular to AB.
Answer» Draw a line segment AB = 5.5 cm. Mark a point P, such that PA = 6 cm and PB = 4.8 cm. From the point P, draw perpendicular to AB.

Discussion

12963.	How to represent root 13 apon 2 on number line
Answer» How to represent root 13 apon 2 on number line

Discussion

12964.	(1000×a)+(100×c)+(10×d)+b can also be written as:
Answer» $(1000 \times a) + (100 \times c) + (10 \times d) + b can also be written as:$

Discussion

12965.	One angles of an isosceles triangle is 120°. What are the other two angles?
Answer» One angles of an isosceles triangle is 120°. What are the other two angles?

Discussion

12966.	A three dimensional solid shape has 8 faces and 12 vertices. The number of edges it will have is __.
Answer» A three dimensional solid shape has 8 faces and 12 vertices. The number of edges it will have is __.

12966.

A three dimensional solid shape has 8 faces and 12 vertices. The number of edges it will have is __.

Answer»

A three dimensional solid shape has 8 faces and 12 vertices. The number of edges it will have is

__.

Discussion

12967.	Factorise:16x4 – 1
Answer» Factorise: 16x⁴ – 1

Discussion

12968.	Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, then find the cube root of the larger number.
Answer» Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, then find the cube root of the larger number.

Discussion

12969.	Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm, ∠ABC= 40∘ and ∠BCD= 55∘?
Answer» Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm, $∠ A B C =$ $40^{\circ}$ and $∠ B C D =$ $55^{\circ}$ ?

Discussion

12970.

The following table shows the number of times target was hit by a shooter in a shooting game in each of his 10 games. Game No. of times target was hit first game 1 second game 2 third game 4 fourth game 4 fifth game 7 sixth game 3 seventh game 8 eighth game 8 ninth game 9 tenth game 5 Find the probability that he had exactly hit 8 times.0.2

Answer» The following table shows the number of times target was hit by a shooter in a shooting game in each of his 10 games.

Game	No. of times target was hit
first game	1
second game	2
third game	4
fourth game	4
fifth game	7
sixth game	3
seventh game	8
eighth game	8
ninth game	9
tenth game	5

Find the probability that he had exactly hit 8 times.

0.2

Discussion

12971.	Find angle x if line 'l' is parallel to line 'm' and the line 'n' is a transversal.
Answer» Find angle x if line 'l' is parallel to line 'm' and the line 'n' is a transversal.

12971.

Find angle x if line 'l' is parallel to line 'm' and the line 'n' is a transversal.

Answer»

Find angle x if line 'l' is parallel to line 'm' and the line 'n' is a transversal.

Discussion

12972.	Question 70(ii)Find discount per cent whenMP = Rs. 900 and SP = Rs. 873
Answer» Question 70(ii) Find discount per cent when MP = Rs. 900 and SP = Rs. 873

12972.

Question 70(ii)Find discount per cent whenMP = Rs. 900 and SP = Rs. 873

Answer»

Question 70(ii)

Find discount per cent when

MP = Rs. 900 and SP = Rs. 873

Discussion

12973.	Solve the following equation : a+56−a+19=a+34
Answer» Solve the following equation : $\frac{a + 5}{6} - \frac{a + 1}{9} = \frac{a + 3}{4}$

12973.

Solve the following equation : a+56−a+19=a+34

Answer»

Solve the following equation :

$\frac{a + 5}{6} - \frac{a + 1}{9} = \frac{a + 3}{4}$

Discussion

12974.	A bag contains 8 red balls and some white balls if the probability of drawing a white ball is half that of a red ball , then find the number of white balls in the bag.
Answer» A bag contains 8 red balls and some white balls if the probability of drawing a white ball is half that of a red ball , then find the number of white balls in the bag.

Discussion

12975.	It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square meters of the sheet is required for the same?[Assume π=227]
Answer» It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square meters of the sheet is required for the same? $[A s s u m e π = \frac{22}{7}]$

Discussion

12976.	Question 197 Is it possible to construct a quadrilateral ROAM in which RO = 4 cm, OA = 5 cm, ∠O=120∘,∠R=105∘ and ∠A=135∘? If not, why?
Answer» Question 197 Is it possible to construct a quadrilateral ROAM in which RO = 4 cm, OA = 5 cm, $∠ O = 120^{\circ}, ∠ R = 105^{\circ}$ and $∠ A = 135^{\circ}$ ? If not, why?

Discussion

12977.	Factorise : 25x^2÷4-y^2÷9
Answer» Factorise : 25x^2÷4-y^2÷9

Discussion

12978.	Kaushal Traders purchased a second-hand machinery on 1st April, 2015 for ₹ 23,000 and spent ₹ 2,000 on its repair. It was decided to depreciate the machinery 20% every year on 31st March at Diminishing Balance Method.Prepare the Machinery Account from years ended 31st March, 2016 to 2018 and show Profit or Loss as it was sold on 31st March, 2018 for ₹ 10,800.
Answer» Kaushal Traders purchased a second-hand machinery on 1st April, 2015 for ₹ 23,000 and spent ₹ 2,000 on its repair. It was decided to depreciate the machinery 20% every year on 31st March at Diminishing Balance Method. Prepare the Machinery Account from years ended 31st March, 2016 to 2018 and show Profit or Loss as it was sold on 31st March, 2018 for ₹ 10,800.

Discussion

12979.	The angle of quadrilateral are in the ratio 3 : 5 : 9 :13. Find all the angles of the quadrilateral.
Answer» The angle of quadrilateral are in the ratio 3 : 5 : 9 :13. Find all the angles of the quadrilateral.

Discussion

12980.	If area of a square plate is 100 m2, then what is the side length of the square plate and its perimeter respectively?
Answer» If area of a square plate is 100 m², then what is the side length of the square plate and its perimeter respectively?

Discussion

12981.	Simplify the expression √3−3√6√3+3√6 by rationalizing the denominator.
Answer» Simplify the expression $\frac{\sqrt{3} - 3 \sqrt{6}}{\sqrt{3} + 3 \sqrt{6}}$ by rationalizing the denominator.

Discussion

12982.	Question 41All six faces of a cuboid are ___ in shape and of ___ area.
Answer» Question 41 All six faces of a cuboid are ___ in shape and of ___ area.

12982.

Question 41All six faces of a cuboid are _ in shape and of _ area.

Answer»

Question 41

All six faces of a cuboid are ___ in shape and of ___ area.

Discussion

12983.	if the pth , qth ,rth term of AP be x , y , z resp.show that x(q-x)+y(r-p)+z(p-q)=0
Answer» if the pth , qth ,rth term of AP be x , y , z resp.show that x(q-x)+y(r-p)+z(p-q)=0

Discussion

12984.	The figure shows a regular pentagon and two regular hexagons put together. The measure of ∠ABC is
Answer» The figure shows a regular pentagon and two regular hexagons put together. The measure of $∠ A B C$ is

12984.

The figure shows a regular pentagon and two regular hexagons put together. The measure of ∠ABC is

Answer»

The figure shows a regular pentagon and two regular hexagons put together. The measure of $∠ A B C$ is

Discussion

12985.	Ifyou subtract froma number and multiply the result by,you get.What is the number?
Answer» If you subtract from a number and multiply the result by, you get. What is the number?

Discussion

12986.	The additive inverse of -55 is ___.
Answer» The additive inverse of -55 is ___.

Discussion

12987.	If √0.04×0.4×a=0.4×0.04×√b, the value of ba is
Answer» If $\sqrt{0.04 \times 0.4 \times a} = 0.4 \times 0.04 \times \sqrt{b}$ , the value of $\frac{b}{a}$ is

Discussion

12988.	Name the property involved in the following expression:85+0=85=0+85
Answer» Name the property involved in the following expression: $\frac{8}{5} + 0 = \frac{8}{5} = 0 + \frac{8}{5}$

12988.

Name the property involved in the following expression:85+0=85=0+85

Answer»

Name the property involved in the following expression:

$\frac{8}{5} + 0 = \frac{8}{5} = 0 + \frac{8}{5}$

Discussion

12989.	Find the median of the given data: Wages(in Rs.)200−300300−400400−500500−600600−700No.of Labourers3520106
Answer» Find the median of the given data: $\begin{matrix} W a g e s (i n R s .) & 200 - 300 & 300 - 400 & 400 - 500 & 500 - 600 & 600 - 700 N o . o f L a b o u r e r s & 3 & 5 & 20 & 10 & 6 \end{matrix}$

Discussion

12990.	Find a and b from below 152 + a2 = b2
Answer» Find a and b from below $15^{2}$ + $a^{2}$ = $b^{2}$

Discussion

12991.	The product of two whole numbers is always a:
Answer» The product of two whole numbers is always a:

Discussion

12992.	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

12993.	Find (x+1)6+(x−1)6. Hence, or otherwise, evaluate (√2+1)6+(√2−1)6
Answer» Find $(x + 1)^{6} + (x - 1)^{6}$ . Hence, or otherwise, evaluate $(\sqrt{2} + 1)^{6} + (\sqrt{2} - 1)^{6}$

Discussion

12994.	Which of the following is the coordinate of the origin?
Answer» Which of the following is the coordinate of the origin?

Discussion

12995.	Question 29Factorise the following:(i) 9x2+4y2+16z2+12xy–16yz–24xz(ii) 25x2+16y2+4z2–40xy+16yz–20xz(iii) 16x2+4y2+9z2–16xy–12yz+24xz
Answer» Question 29 Factorise the following: (i) $9 x^{2} + 4 y^{2} + 16 z^{2} + 12 x y - 16 y z - 24 x z$ (ii) $25 x^{2} + 16 y^{2} + 4 z^{2} - 40 x y + 16 y z - 20 x z$ (iii) $16 x^{2} + 4 y^{2} + 9 z^{2} - 16 x y - 12 y z + 24 x z$

Discussion

12996.	Which of the following statements is incorrect?
Answer» Which of the following statements is incorrect?

Discussion

12997.	_______ is a representation of numbers using bars of uniform width.
Answer» _______ is a representation of numbers using bars of uniform width.

Discussion

12998.	Which of the following numbers are perfect squares ? (i) 484 (ii) 625 (iii) 576 (iv) 941 (v) 961 (vi) 2500
Answer» Which of the following numbers are perfect squares ? (i) 484 (ii) 625 (iii) 576 (iv) 941 (v) 961 (vi) 2500

Discussion

12999.	△ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. ∠BCD is equal to ____.
Answer» $△ A B C$ is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. $∠ B C D$ is equal to ____.

12999.

△ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. ∠BCD is equal to ____.

Answer»

$△ A B C$ is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. $∠ B C D$ is equal to ____.

Discussion

13000.	Which of following options is the correct representation of relation from set A to set B?A={1,2,3,4} & B={1,2,3,5}R={(x,y):x∈A,y∈B & x=y}
Answer» Which of following options is the correct representation of relation from set A to set B? $A = {1, 2, 3, 4} & B = {1, 2, 3, 5} R = {(x, y) : x \in A, y \in B & x = y}$

Discussion

Explore topic-wise InterviewSolutions in .

Question 94 (i)Carry out the following division:51x3y2z ÷ 17xyz

In the given figure, if AB = AD and CB = CD, then which of the following is true ?

Does proportionality constants remain always constant or not . Like as the gravitational contant (G) which is universal constant.

Evaluate (13+23+33+43)−32.

Turtles are found along the stretch of 2 and 24 km, and 3 and 14 km.Calculate the combined distance.

The digit in the units place in the cube of 298 is

Draw the graph of .

Question 16a2−b2 is equal toa) (a−b)2b) (a−b)(a−b)c) (a+b)(a−b)d) (a+b)(a+b)

Find out the wrong number in the series given below :1,4,13,38,121,364

Using the numbers from 5 to 13, 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?

Shalini deposited ₹4,00,000 in a bank where she was promised an interest of 10%. She deposited it for a period of two years. Find the difference in the amount if the interest is calculated in a compounded manner to the amount interested in a simple manner.

Draw a line segment AB = 5.5 cm. Mark a point P, such that PA = 6 cm and PB = 4.8 cm. From the point P, draw perpendicular to AB.

How to represent root 13 apon 2 on number line

(1000×a)+(100×c)+(10×d)+b can also be written as:

One angles of an isosceles triangle is 120°. What are the other two angles?

A three dimensional solid shape has 8 faces and 12 vertices. The number of edges it will have is __.

Factorise:16x4 – 1

Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, then find the cube root of the larger number.

Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm, ∠ABC= 40∘ and ∠BCD= 55∘?

Find angle x if line 'l' is parallel to line 'm' and the line 'n' is a transversal.

Question 70(ii)Find discount per cent whenMP = Rs. 900 and SP = Rs. 873

Solve the following equation : a+56−a+19=a+34

A bag contains 8 red balls and some white balls if the probability of drawing a white ball is half that of a red ball , then find the number of white balls in the bag.

It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square meters of the sheet is required for the same?[Assume π=227]

Question 197 Is it possible to construct a quadrilateral ROAM in which RO = 4 cm, OA = 5 cm, ∠O=120∘,∠R=105∘ and ∠A=135∘? If not, why?

Factorise : 25x^2÷4-y^2÷9

The angle of quadrilateral are in the ratio 3 : 5 : 9 :13. Find all the angles of the quadrilateral.

If area of a square plate is 100 m2, then what is the side length of the square plate and its perimeter respectively?

Simplify the expression √3−3√6√3+3√6 by rationalizing the denominator.

Question 41All six faces of a cuboid are ___ in shape and of ___ area.

if the pth , qth ,rth term of AP be x , y , z resp.show that x(q-x)+y(r-p)+z(p-q)=0

The figure shows a regular pentagon and two regular hexagons put together. The measure of ∠ABC is

Ifyou subtract froma number and multiply the result by,you get.What is the number?

The additive inverse of -55 is ___.

If √0.04×0.4×a=0.4×0.04×√b, the value of ba is

Name the property involved in the following expression:85+0=85=0+85

Find the median of the given data: Wages(in Rs.)200−300300−400400−500500−600600−700No.of Labourers3520106

Find a and b from below 152 + a2 = b2

The product of two whole numbers is always a:

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

Find (x+1)6+(x−1)6. Hence, or otherwise, evaluate (√2+1)6+(√2−1)6

Which of the following is the coordinate of the origin?

Question 29Factorise the following:(i) 9x2+4y2+16z2+12xy–16yz–24xz(ii) 25x2+16y2+4z2–40xy+16yz–20xz(iii) 16x2+4y2+9z2–16xy–12yz+24xz

Which of the following statements is incorrect?

_______ is a representation of numbers using bars of uniform width.

Which of the following numbers are perfect squares ? (i) 484 (ii) 625 (iii) 576 (iv) 941 (v) 961 (vi) 2500

△ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. ∠BCD is equal to ____.

Which of following options is the correct representation of relation from set A to set B?A={1,2,3,4} &amp; B={1,2,3,5}R={(x,y):x∈A,y∈B &amp; x=y}

Question 41All six faces of a cuboid are _ in shape and of _ area.

Which of following options is the correct representation of relation from set A to set B?A={1,2,3,4} & B={1,2,3,5}R={(x,y):x∈A,y∈B & x=y}