25365 + Interview Questions in Mathematics Page 208 InterviewSolution

10351.	The points of intersection of the edges of a polyhedron is called its _________.
Answer» The points of intersection of the edges of a polyhedron is called its _________.

Discussion

10352.	If a+1a=-2, then a2+1a2= _________.
Answer» If $a + \frac{1}{a} = - 2, then a^{2} + \frac{1}{a^{2}} =_________.$

Discussion

10353.	Which of the following is the side view of the given figure?
Answer» Which of the following is the side view of the given figure?

10353.

Which of the following is the side view of the given figure?

Answer»

Which of the following is the side view of the given figure?

Discussion

10354.	The altitude and the base of a triangular field are in the ratio 6 : 5. If its cost is Rs 49,57,200 at the rate of Rs 36,720 per hectare and 1 hectare =10,000 sq. m, find (in metre) dimensions of the field. Area of the given triangular field =CostofthefieldRate=49,57,20036,720 hectare =135 hectare =135×10,000 sq. m=1350000 m2.
Answer» The altitude and the base of a triangular field are in the ratio 6 : 5. If its cost is Rs 49,57,200 at the rate of Rs 36,720 per hectare and 1 hectare =10,000 sq. m, find (in metre) dimensions of the field. Area of the given triangular field $= \frac{C o s t o f t h e f i e l d}{R a t e} = \frac{49, 57, 200}{36, 720}$ hectare =135 hectare $= 135 \times 10, 000$ sq. m=1350000 $m^{2} .$

10354.

The altitude and the base of a triangular field are in the ratio 6 : 5. If its cost is Rs 49,57,200 at the rate of Rs 36,720 per hectare and 1 hectare =10,000 sq. m, find (in metre) dimensions of the field. Area of the given triangular field =CostofthefieldRate=49,57,20036,720 hectare =135 hectare =135×10,000 sq. m=1350000 m2.

Answer»

The altitude and the base of a triangular field are in the ratio 6 : 5. If its cost is Rs 49,57,200 at the rate of Rs 36,720 per hectare and 1 hectare =10,000 sq. m, find (in metre) dimensions of the field.

Area of the given triangular field $= \frac{C o s t o f t h e f i e l d}{R a t e} = \frac{49, 57, 200}{36, 720}$ hectare

=135 hectare

$= 135 \times 10, 000$ sq. m=1350000 $m^{2} .$

Discussion

10355.	If xy and yx are rational numbers, then which of the following is correct?
Answer» If $\frac{x}{y}$ and $\frac{y}{x}$ are rational numbers, then which of the following is correct?

Discussion

10356.	Write down the unit digits of the following squares. a) 782 b) 332 c) 422 d) 352
Answer» Write down the unit digits of the following squares. a) $78^{2}$ b) $33^{2}$ c) $42^{2}$ d) $35^{2}$

Discussion

10357.	The number of visitors in a trekking arena on a public holiday was 600. On the next day, which was a working day, if there were only 240 visitors, then what was the percentage decrease in number of visitors on the working day?
Answer» The number of visitors in a trekking arena on a public holiday was 600. On the next day, which was a working day, if there were only 240 visitors, then what was the percentage decrease in number of visitors on the working day?

Discussion

10358.	Which of the following numbers is farthest from the number 1 on the number line? 2312/213123+12312312√213123
Answer» Which of the following numbers is farthest from the number 1 on the number line? 2312/213123+12312312√213123

Discussion

10359.	If the interior angles of a triangle are (x - 20)°, (2x - 10)°, and (x + 50)°, find the value of x.40
Answer» If the interior angles of a triangle are (x - 20)°, (2x - 10)°, and (x + 50)°, find the value of x. 40

Discussion

10360.	11. Two finite sets A and B have P and Q elements respectively such that P is greater than Q the number of subsets of the power set of A 240 more than the total number of subsets of power Set B then what is the value of P + q
Answer» 11. Two finite sets A and B have P and Q elements respectively such that P is greater than Q the number of subsets of the power set of A 240 more than the total number of subsets of power Set B then what is the value of P + q

Discussion

10361.	A circular field of radius 105 m has a circular path of uniform width of 5 m along and inside its boundary. Find the area of the path.
Answer» A circular field of radius 105 m has a circular path of uniform width of 5 m along and inside its boundary. Find the area of the path.

Discussion

10362.	A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?
Answer» A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?

Discussion

10363.	Find The Value of X 17x=128^2 -77^2
Answer» Find The Value of X 17x=128^2 -77^2

Discussion

10364.	In the given figure, ABCD and EFGH are two squares of sides 4 cm and 10 cm respectively. What additional information do you require to construct this combination of quadrilaterals? Select all that apply.
Answer» In the given figure, ABCD and EFGH are two squares of sides 4 cm and 10 cm respectively. What additional information do you require to construct this combination of quadrilaterals? Select all that apply.

10364.

In the given figure, ABCD and EFGH are two squares of sides 4 cm and 10 cm respectively. What additional information do you require to construct this combination of quadrilaterals? Select all that apply.

Answer»

In the given figure, ABCD and EFGH are two squares of sides 4 cm and 10 cm respectively.

What additional information do you require to construct this combination of quadrilaterals?

Select all that apply.

Discussion

10365.	The area of the trapezium having parallel side as 27 cm and 13 cm and distance between them as 8 cm is
Answer» The area of the trapezium having parallel side as 27 cm and 13 cm and distance between them as 8 cm is

Discussion

10366.	Write a statement for each of the equations given below:(a) 5x=40(b) 25−x=7(c) x8=7(d) 6x=x+5
Answer» Write a statement for each of the equations given below: $(a) 5 x = 40$ $(b) 25 - x = 7$ $(c) \frac{x}{8} = 7$ $(d) 6 x = x + 5$

Discussion

10367.	If we know that one side of the rectangle is 8 cm, can we construct a unique rectangle?
Answer» If we know that one side of the rectangle is 8 cm, can we construct a unique rectangle?

Discussion

10368.	The perimeter of a rectangular swimming pool is 64 m. If its length and breadth are in the ratio of 5 : 3, then find the length of the pool (in metre).
Answer» The perimeter of a rectangular swimming pool is $64 m$ . If its length and breadth are in the ratio of $5 : 3$ , then find the length of the pool (in metre).

Discussion

10369.	Find th H.C.F of 3xy2z3, 3yz2x2 and x2y2z
Answer» Find th H.C.F of $3 x y^{2} z^{3}$ , $3 y z^{2} x^{2}$ and $x^{2} y^{2} z$

Discussion

10370.	Find the value of 3√6×3√60×3√600
Answer» Find the value of $\sqrt[3]{6} \times \sqrt[3]{60} \times \sqrt[3]{600}$

Discussion

10371.	Question 4(ii) Simplify: (2x+5)2−(2x−5)2
Answer» Question 4(ii) Simplify: $(2 x + 5)^{2} - (2 x - 5)^{2}$

Discussion

10372.	A rectangle with sides of length (2n-1) and (2m-1) units is divided into squared of unit length.Find the number of rectangles which can be formed with the sides of odd length.
Answer» A rectangle with sides of length (2n-1) and (2m-1) units is divided into squared of unit length.Find the number of rectangles which can be formed with the sides of odd length.

Discussion

10373.	Question 41(ii)Write the X-coordinate (abscissa) of the given point.(5,7)
Answer» Question 41(ii) Write the X-coordinate (abscissa) of the given point. (5,7)

Discussion

10374.	A loan of rs. 2000 is to be paid in 3 equal annual installments . How much is each installment to the nearest whole rupees , if the interest is compounded annually at 10%p.a?How to solve this?
Answer» A loan of rs. 2000 is to be paid in 3 equal annual installments . How much is each installment to the nearest whole rupees , if the interest is compounded annually at 10%p.a? How to solve this?

Discussion

10375.	Write down the steps of construction of a triangle from two angles of 60⁰ and 30⁰ and included side of 4 cm.
Answer» Write down the steps of construction of a triangle from two angles of 60⁰ and 30⁰ and included side of 4 cm.

Discussion

10376.	Question 111(iv)Use the distributivity of multiplication of rational numbers over addition to simplify.34×[89−40]
Answer» Question 111(iv) Use the distributivity of multiplication of rational numbers over addition to simplify. $\frac{3}{4} \times [\frac{8}{9} - 40]$

Discussion

10377.	A line makes an angle alpha, beta, gamma and delta with the diagonals of a cube, prove that cos^2alpha + cos^2beta + cos^2gamma + cos^2delta =4/3
Answer» A line makes an angle alpha, beta, gamma and delta with the diagonals of a cube, prove that cos^2alpha + cos^2beta + cos^2gamma + cos^2delta =4/3

Discussion

10378.	Narendra borrowed rupees 50000 at 12 p.c.p.a. for a year. What amount will he have to return to the bank at the end of the year?
Answer» Narendra borrowed rupees 50000 at 12 p.c.p.a. for a year. What amount will he have to return to the bank at the end of the year?

Discussion

10379.	If A and B are two sets, then (A ∩ B') ∪ (B ∩ C) is equal to ____________.
Answer» If A and B are two sets, then (A ∩ B') ∪ (B ∩ C) is equal to ____________.

Discussion

10380.	Referring the adjacent figure of a parallelogram, write the answer of questions given below.(1) If l(WZ) = 4.5 cm then l(XY) = ?(2) If l(YZ) = 8.2 cm then l(XW) = ?(3) If l(OX) = 2.5 cm then l(OZ) = ?(4) If l(WO) = 3.3 cm then l(WY) = ?(5) If m∠WZY = 120° then m∠WXY = ? and m∠XWZ = ?
Answer» Referring the adjacent figure of a parallelogram, write the answer of questions given below. (1) If l(WZ) = 4.5 cm then l(XY) = ? (2) If l(YZ) = 8.2 cm then l(XW) = ? (3) If l(OX) = 2.5 cm then l(OZ) = ? (4) If l(WO) = 3.3 cm then l(WY) = ? (5) If m∠WZY = 120 $°$ then m∠WXY = ? and m∠XWZ = ?

Discussion

10381.	Question 44 Total surface area of a cylinder of radius h and height r is ___
Answer» Question 44 Total surface area of a cylinder of radius h and height r is ___

10381.

Question 44 Total surface area of a cylinder of radius h and height r is ___

Answer»

Question 44

Total surface area of a cylinder of radius h and height r is ___

Discussion

10382.	Consider the following steps. Which would be the correct order to solve the above-mentioned question? 1. Find the area of each unshaded region. 2. Identify the unshaded regions. 3. Subtract the sum total of areas of unshaded regions from the area of the square.
Answer» Consider the following steps. Which would be the correct order to solve the above-mentioned question? 1. Find the area of each unshaded region. 2. Identify the unshaded regions. 3. Subtract the sum total of areas of unshaded regions from the area of the square.

Discussion

10383.	Match the following.
Answer» Match the following.

Discussion

10384.	In a certain code, SUMMER is written as RUNNER. How is WINTER written in that code?
Answer» In a certain code, $S U M M E R$ is written as $R U N N E R .$ How is $W I N T E R$ written in that code?

Discussion

10385.	D and E are points on the sides AB and AC respectively of △ ABC such that DE\parallel BC and divides△ ABC in two parts , equal in area.Find BD/AB
Answer» D and E are points on the sides AB and AC respectively of △ ABC such that DE\parallel BC and divides△ ABC in two parts , equal in area.Find BD/AB

Discussion

10386.	A circle has radius 5 cm. A section of its circumference has length π cm, then the angle subtended by this section at the centre is
Answer» A circle has radius 5 cm. A section of its circumference has length $π$ cm, then the angle subtended by this section at the centre is

Discussion

10387.	When a number is subtracted from a number with digits as the reverse of the original number, we get 27. The sum of the digits is 7. The original number is
Answer» When a number is subtracted from a number with digits as the reverse of the original number, we get 27. The sum of the digits is 7. The original number is

Discussion

10388.	A window frame has one diagonal longer the other. Is the window frame a rectangle? Why or why not?
Answer» A window frame has one diagonal longer the other. Is the window frame a rectangle? Why or why not?

Discussion

10389.	When x2−4x+11 is divided by x−2, find the sum of quotient and remainder.
Answer» When $x^{2} - 4 x + 11$ is divided by $x - 2$ , find the sum of quotient and remainder.

Discussion

10390.	Complete the tablefirst expression second expression product(i)ab+c+d−−−(ii)x+y−55xy−−−(iii)p6p2−7p+5−−−(iv)4p2q2p2−q2−−−(v)a+b+cabc−−−−
Answer» Complete the table $\begin{matrix} first expression & second expression & product (i) & a & b + c + d & - - - (i i) & x + y - 5 & 5 x y & - - - (i i i) & p & 6 p^{2} - 7 p + 5 & - - - (i v) & 4 p^{2} q^{2} & p^{2} - q^{2} & - - - (v) & a + b + c & a b c & - - - - \end{matrix}$

Discussion

10391.	68 boxes of a certain commodity require a shelf length of 13.6 m. How many boxes of the same commodity would occupy a shelf of 20.4 m ?
Answer» 68 boxes of a certain commodity require a shelf length of 13.6 m. How many boxes of the same commodity would occupy a shelf of 20.4 m ?

Discussion

10392.	\sqrt{3+\sqrt5}
Answer» \sqrt{3+\sqrt5}

Discussion

10393.	The construction of a triangle ABC in which AB = 4 cm, ∠A = 60° is not possible when difference of BC and AC is equal to(a) 3.5 cm(b) 4.5 cm(c) 3 cm(d) 2.5 cm
Answer» The construction of a triangle ABC in which AB = 4 cm, ∠A = 60° is not possible when difference of BC and AC is equal to (a) 3.5 cm (b) 4.5 cm (c) 3 cm (d) 2.5 cm

Discussion

10394.	Question 18The area of a parallelogram is 60cm2 and one of its altitude is 5 cm. The length of its corresponding side is(a) 12 cm(b) 6 cm(c) 4 cm(d) 2 cm
Answer» Question 18 The area of a parallelogram is $60 c m^{2}$ and one of its altitude is 5 cm. The length of its corresponding side is (a) 12 cm (b) 6 cm (c) 4 cm (d) 2 cm

10394.

Question 18The area of a parallelogram is 60cm2 and one of its altitude is 5 cm. The length of its corresponding side is(a) 12 cm(b) 6 cm(c) 4 cm(d) 2 cm

Answer»

Question 18

The area of a parallelogram is $60 c m^{2}$ and one of its altitude is 5 cm. The length of its corresponding side is

(a) 12 cm

(b) 6 cm

(c) 4 cm

(d) 2 cm

Discussion

10395.	Question 49Compound interest is the interest calculated on the previous year's amount.
Answer» Question 49 Compound interest is the interest calculated on the previous year's amount.

10395.

Question 49Compound interest is the interest calculated on the previous year's amount.

Answer»

Question 49

Compound interest is the interest calculated on the previous year's amount.

Discussion

10396.	Compute the square of 12.8
Answer» Compute the square of 12.8

Discussion

10397.	Consider the cube: Let the number of faces be F, number of edges be E and number of vertices be V. Then find the value of F + E + V. ___
Answer» Consider the cube: Let the number of faces be F, number of edges be E and number of vertices be V. Then find the value of F + E + V. ___

10397.

Consider the cube: Let the number of faces be F, number of edges be E and number of vertices be V. Then find the value of F + E + V. ___

Answer»

Consider the cube:

Let the number of faces be F, number of edges be E and number of vertices be V.

Then find the value of F + E + V.

___

Discussion

10398.	(a) A box contains marbles which are marked with first ten natural numbers. Find the probability of getting a marble marked with a multiple of 2. (b) A bag contains 3 red balls, 6 blue balls, 1 is black and 2 balls are green. If you want to pick out a red ball what is the probability that you will get a red ball? [3 MARKS]
Answer» (a) A box contains marbles which are marked with first ten natural numbers. Find the probability of getting a marble marked with a multiple of 2. (b) A bag contains 3 red balls, 6 blue balls, 1 is black and 2 balls are green. If you want to pick out a red ball what is the probability that you will get a red ball? [3 MARKS]

Discussion

10399.	Question 3(vii)Factorise the expressions5y2−20y−8z+2yz
Answer» Question 3(vii) Factorise the expressions $5 y^{2} - 20 y - 8 z + 2 y z$

Discussion

10400.	Question 83 (iv)Multiply the following :−5a2bc,11ab,13abc2
Answer» Question 83 (iv) Multiply the following : $- 5 a^{2} b c, 11 a b, 13 a b c^{2}$

10400.

Question 83 (iv)Multiply the following :−5a2bc,11ab,13abc2

Answer»

Question 83 (iv)

Multiply the following :

$- 5 a^{2} b c, 11 a b, 13 a b c^{2}$

Discussion

Explore topic-wise InterviewSolutions in .

The points of intersection of the edges of a polyhedron is called its _________.

If a+1a=-2, then a2+1a2= _________.

Which of the following is the side view of the given figure?

If xy and yx are rational numbers, then which of the following is correct?

Write down the unit digits of the following squares. a) 782 b) 332 c) 422 d) 352

The number of visitors in a trekking arena on a public holiday was 600. On the next day, which was a working day, if there were only 240 visitors, then what was the percentage decrease in number of visitors on the working day?

Which of the following numbers is farthest from the number 1 on the number line? 2312/213123+12312312√213123

If the interior angles of a triangle are (x - 20)°, (2x - 10)°, and (x + 50)°, find the value of x.40

11. Two finite sets A and B have P and Q elements respectively such that P is greater than Q the number of subsets of the power set of A 240 more than the total number of subsets of power Set B then what is the value of P + q

A circular field of radius 105 m has a circular path of uniform width of 5 m along and inside its boundary. Find the area of the path.

A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?

Find The Value of X 17x=128^2 -77^2

In the given figure, ABCD and EFGH are two squares of sides 4 cm and 10 cm respectively. What additional information do you require to construct this combination of quadrilaterals? Select all that apply.

The area of the trapezium having parallel side as 27 cm and 13 cm and distance between them as 8 cm is

Write a statement for each of the equations given below:(a) 5x=40(b) 25−x=7(c) x8=7(d) 6x=x+5

If we know that one side of the rectangle is 8 cm, can we construct a unique rectangle?

The perimeter of a rectangular swimming pool is 64 m. If its length and breadth are in the ratio of 5 : 3, then find the length of the pool (in metre).

Find th H.C.F of 3xy2z3, 3yz2x2 and x2y2z

Find the value of 3√6×3√60×3√600

Question 4(ii) Simplify: (2x+5)2−(2x−5)2

A rectangle with sides of length (2n-1) and (2m-1) units is divided into squared of unit length.Find the number of rectangles which can be formed with the sides of odd length.

Question 41(ii)Write the X-coordinate (abscissa) of the given point.(5,7)

A loan of rs. 2000 is to be paid in 3 equal annual installments . How much is each installment to the nearest whole rupees , if the interest is compounded annually at 10%p.a?How to solve this?

Write down the steps of construction of a triangle from two angles of 60⁰ and 30⁰ and included side of 4 cm.

Question 111(iv)Use the distributivity of multiplication of rational numbers over addition to simplify.34×[89−40]

A line makes an angle alpha, beta, gamma and delta with the diagonals of a cube, prove that cos^2alpha + cos^2beta + cos^2gamma + cos^2delta =4/3

Narendra borrowed rupees 50000 at 12 p.c.p.a. for a year. What amount will he have to return to the bank at the end of the year?

If A and B are two sets, then (A ∩ B') ∪ (B ∩ C) is equal to ____________.

Referring the adjacent figure of a parallelogram, write the answer of questions given below.(1) If l(WZ) = 4.5 cm then l(XY) = ?(2) If l(YZ) = 8.2 cm then l(XW) = ?(3) If l(OX) = 2.5 cm then l(OZ) = ?(4) If l(WO) = 3.3 cm then l(WY) = ?(5) If m∠WZY = 120° then m∠WXY = ? and m∠XWZ = ?

Question 44 Total surface area of a cylinder of radius h and height r is ___

Consider the following steps. Which would be the correct order to solve the above-mentioned question? 1. Find the area of each unshaded region. 2. Identify the unshaded regions. 3. Subtract the sum total of areas of unshaded regions from the area of the square.

Match the following.

In a certain code, SUMMER is written as RUNNER. How is WINTER written in that code?

D and E are points on the sides AB and AC respectively of △ ABC such that DE\parallel BC and divides△ ABC in two parts , equal in area.Find BD/AB

A circle has radius 5 cm. A section of its circumference has length π cm, then the angle subtended by this section at the centre is

When a number is subtracted from a number with digits as the reverse of the original number, we get 27. The sum of the digits is 7. The original number is

A window frame has one diagonal longer the other. Is the window frame a rectangle? Why or why not?

When x2−4x+11 is divided by x−2, find the sum of quotient and remainder.

Complete the tablefirst expression second expression product(i)ab+c+d−−−(ii)x+y−55xy−−−(iii)p6p2−7p+5−−−(iv)4p2q2p2−q2−−−(v)a+b+cabc−−−−

68 boxes of a certain commodity require a shelf length of 13.6 m. How many boxes of the same commodity would occupy a shelf of 20.4 m ?

\sqrt{3+\sqrt5}

The construction of a triangle ABC in which AB = 4 cm, ∠A = 60° is not possible when difference of BC and AC is equal to(a) 3.5 cm(b) 4.5 cm(c) 3 cm(d) 2.5 cm

Question 18The area of a parallelogram is 60cm2 and one of its altitude is 5 cm. The length of its corresponding side is(a) 12 cm(b) 6 cm(c) 4 cm(d) 2 cm

Question 49Compound interest is the interest calculated on the previous year's amount.

Compute the square of 12.8

Consider the cube: Let the number of faces be F, number of edges be E and number of vertices be V. Then find the value of F + E + V. ___

Question 3(vii)Factorise the expressions5y2−20y−8z+2yz

Question 83 (iv)Multiply the following :−5a2bc,11ab,13abc2