25365 + Interview Questions in Mathematics Page 58 InterviewSolution

2851.	P and Q are the points on the sides AB and AC respectivelyof the triangle ABC. if AP=4cm PB=6cm AQ=10cm and QC=15cm then BC i
Answer» P and Q are the points on the sides AB and AC respectivelyof the triangle ABC. if AP=4cm PB=6cm AQ=10cm and QC=15cm then BC i

Discussion

2852.	Simplify: 24×32
Answer» Simplify: $2^{4} \times 3^{2}$

Discussion

2853.	What is (3 - 1)^2 + (4 - 1)^2 equal to?
Answer» What is (3 - 1)^2 + (4 - 1)^2 equal to?

Discussion

2854.	What is the difference between the fraction and rational numbers?
Answer» What is the difference between the fraction and rational numbers?

Discussion

2855.	Estimate the value √300 to the nearest whole number.
Answer» Estimate the value $\sqrt{300}$ to the nearest whole number.

Discussion

2856.	(i) Find the area of a rectangle of length 98 m and breadth 18 m.(ii) Find the length of each side of a square whose area is equal to the area of the rectangle in (i)
Answer» (i) Find the area of a rectangle of length 98 m and breadth 18 m. (ii) Find the length of each side of a square whose area is equal to the area of the rectangle in (i)

Discussion

2857.	How much gas was used up (gallons):
Answer» How much gas was used up (gallons):

Discussion

2858.	If pq=(23)2÷(67)0 then the value of (qp)3 is-
Answer» If $\frac{p}{q} = {(\frac{2}{3})}^{2} \div {(\frac{6}{7})}^{0}$ then the value of ${(\frac{q}{p})}^{3}$ is-

Discussion

2859.	Find the median for the distribution given below.Wages200−300300−400400−500500−600600−700Number of labourers3520106470
Answer» Find the median for the distribution given below. $\begin{matrix} Wages & 200 - 300 & 300 - 400 & 400 - 500 & 500 - 600 & 600 - 700 Number of labourers & 3 & 5 & 20 & 10 & 6 \end{matrix}$ 470

2859.

Find the median for the distribution given below.Wages200−300300−400400−500500−600600−700Number of labourers3520106470

Answer»

Find the median for the distribution given below.

$\begin{matrix} Wages & 200 - 300 & 300 - 400 & 400 - 500 & 500 - 600 & 600 - 700 Number of labourers & 3 & 5 & 20 & 10 & 6 \end{matrix}$

470

Discussion

2860.	If dividend = x4+x3−2x2+x+1, divisor =x−1 and remainder = 2. Find the quotient q(x)
Answer» If dividend = $x^{4} + x^{3} - 2 x^{2} + x + 1$ , divisor = $x - 1$ and remainder = 2. Find the quotient q(x)

Discussion

2861.	Question 1(e):From the figure, identify:Two points in the interior
Answer» Question 1(e): From the figure, identify: Two points in the interior

2861.

Question 1(e):From the figure, identify:Two points in the interior

Answer»

Question 1(e):

From the figure, identify:

Two points in the interior

Discussion

2862.	Find 211.02 × 4
Answer» Find 211.02 $\times$ 4

Discussion

2863.	About Euclid's division lemma,if we have to apply this on 2 numbers in which 1st number is less than 2nd number, will the procedure be the same?
Answer» About Euclid's division lemma, if we have to apply this on 2 numbers in which 1st number is less than 2nd number, will the procedure be the same?

Discussion

2864.	In the figure below, ΔABC is anequilateral triangle and EC = CD. What is the measure of ∠EDC?
Answer» $In the figure below, Δ A B C is an equilateral triangle and EC = CD. What is the measure of ∠ E D C ?$

2864.

In the figure below, ΔABC is anequilateral triangle and EC = CD. What is the measure of ∠EDC?

Answer»

$In the figure below, Δ A B C is an equilateral triangle and EC = CD. What is the measure of ∠ E D C ?$

Discussion

2865.	If area of a parallelogram is 29.6 sq cm and its base is 8 cm, find its height.
Answer» If area of a parallelogram is 29.6 sq cm and its base is 8 cm, find its height.

Discussion

2866.	Let pqr be a three digit number. Then, pqr+qrp+rpq is not divisible by
Answer» Let $p q r$ be a three digit number. Then, $p q r + q r p + r p q$ is not divisible by

Discussion

2867.	The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are1 m and 1.2 m and the perpendicular distance between them is 0.8 m.
Answer» The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are $1 m$ and $1.2 m$ and the perpendicular distance between them is $0.8 m$ .

2867.

The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are1 m and 1.2 m and the perpendicular distance between them is 0.8 m.

Answer»

The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are
$1 m$ and $1.2 m$ and the perpendicular distance between them is $0.8 m$ .

Discussion

2868.	Illustrate the steps of construction to construct a ∠ABC in which ∠B=75∘,∠C=60∘ and AB + BC + AC = 12 cm.
Answer» Illustrate the steps of construction to construct a $∠ A B C$ in which $∠ B = 75^{\circ}, ∠ C = 60^{\circ}$ and AB + BC + AC = 12 cm.

Discussion

2869.	15y3÷5y= _____.
Answer» $15 y^{3} \div 5 y =$ _____.

Discussion

2870.	There are two spheres. If the radius of second sphere is four times the radius of first spheres, then what will be the ratio of the surface area of second sphere to first sphere?
Answer» There are two spheres. If the radius of second sphere is four times the radius of first spheres, then what will be the ratio of the surface area of second sphere to first sphere?

Discussion

2871.	Calculate the sum of the squares of 10 and 15.
Answer» Calculate the sum of the squares of 10 and 15.

Discussion

2872.	Using the factorisation of xy2−xz2, evaluate the value of 6×32−6×22.
Answer» Using the factorisation of $x y^{2} - x z^{2}$ , evaluate the value of $6 \times 3^{2} - 6 \times 2^{2}$ .

Discussion

2873.	Factorise: x2+x−132
Answer» Factorise: $x^{2} + x - 132$

Discussion

2874.	Question 8744 cows can graze a field in 9 days. How many less/more cows will graze the same field in 12 days?
Answer» Question 87 44 cows can graze a field in 9 days. How many less/more cows will graze the same field in 12 days?

2874.

Question 8744 cows can graze a field in 9 days. How many less/more cows will graze the same field in 12 days?

Answer»

Question 87

44 cows can graze a field in 9 days. How many less/more cows will graze the same field in 12 days?

Discussion

2875.	Question 8(iv) Using (x+a)(x+b)=x2+(a+b)x+ab, find 9.7×9.8
Answer» Question 8(iv) Using $(x + a) (x + b) = x^{2} + (a + b) x + a b$ , find $9.7 \times 9.8$

Discussion

2876.	What is the sum of weights of 650g and 145g?
Answer» What is the sum of weights of 650g and 145g?

Discussion

2877.	A dice having numbers from 5 to 10 is thrown once. What is the probability of getting 6.
Answer» A dice having numbers from 5 to 10 is thrown once. What is the probability of getting 6.

Discussion

2878.	Question 89 (xiii)Factorise the following, using the identity, a2+2ab+b2=(a+b)22x3+24x2+72x
Answer» Question 89 (xiii) Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ $2 x^{3} + 24 x^{2} + 72 x$

Discussion

2879.	Identify the region in which the elements are divisible by 6.
Answer» Identify the region in which the elements are divisible by 6.

Discussion

2880.	(2y+5)(2y+5) =
Answer» $(2 y + 5) (2 y + 5)$ =

Discussion

2881.	The value of a car, bought for ₹4,40,000 depreciates each year by 10% of its value at the beginning of that year. So, its value becomes ₹3,08,000 after three years.
Answer» The value of a car, bought for ₹4,40,000 depreciates each year by 10% of its value at the beginning of that year. So, its value becomes ₹3,08,000 after three years.

Discussion

2882.	11. If z1 and z2 are complex numbers such that \|5z1 - 3z2\|² + \|3z1 + 5z2\|² = ¥(\|z1\|² + \|z2\|²) then ¥ is equal to Its of Target pg 110, Section F Q11
Answer» 11. If z1 and z2 are complex numbers such that \|5z1 - 3z2\|² + \|3z1 + 5z2\|² = ¥(\|z1\|² + \|z2\|²) then ¥ is equal to Its of Target pg 110, Section F Q11

Discussion

2883.

Electricity consumed by different households on a particular day are tabulated below. Number of Persons in House Consumption of Electricity (units) 486138151018Choose the correct scatter plot from the following which correctly represents the given data set.

Answer»

Electricity consumed by different households on a particular day are tabulated below.

Number of Persons in House
Consumption of Electricity (units)

$4$	$8$
$6$	$13$
$8$	$15$
$10$	$18$

Choose the correct scatter plot from the following which correctly represents the given data set.

Discussion

2884.	Question 3 (ii)The squares of which of the following would be odd number:2826
Answer» Question 3 (ii) The squares of which of the following would be odd number: 2826

2884.

Question 3 (ii)The squares of which of the following would be odd number:2826

Answer»

Question 3 (ii)

The squares of which of the following would be odd number:

2826

Discussion

2885.	The list price of a refrigerator is Rs. 9700. If a value added tax of 6% is to be chared on it, how much one has to pay to buy the refrigerator?
Answer» The list price of a refrigerator is Rs. 9700. If a value added tax of $6 %$ is to be chared on it, how much one has to pay to buy the refrigerator?

Discussion

2886.	A 2 cm diameter coin rests flat on the bottom of a bowl in which the water is 20 cm deep (μ=43). If the coin is viewed directly from above, what is its apparent diameter?
Answer» A $2 c m$ diameter coin rests flat on the bottom of a bowl in which the water is $20 c m$ deep $(μ = \frac{4}{3})$ . If the coin is viewed directly from above, what is its apparent diameter?

Discussion

2887.	If a set has 8 subsets, then it contains ___ elements
Answer» If a set has 8 subsets, then it contains ___ elements

Discussion

2888.	Question 53(vi)The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow.In which test was the performance better?
Answer» Question 53(vi) The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow. In which test was the performance better?

Discussion

2889.	What is the value x and y?
Answer» What is the value $x$ and $y$ ?

Discussion

2890.	Find the value of the product 1\2xy(7x^2 +6xy-y^2)when x=2 and y =-2
Answer» Find the value of the product 1\2xy(7x^2 +6xy-y^2)when x=2 and y =-2

Discussion

2891.	Question 35(213×657)−1=(213)−1× ___.
Answer» Question 35 $(213 \times 657)^{- 1} = (213)^{- 1} \times$ ___.

Discussion

2892.	Solve : 9x−73x+5=3x−4x+6
Answer» Solve : $\frac{9 x - 7}{3 x + 5} = \frac{3 x - 4}{x + 6}$

2892.

Solve : 9x−73x+5=3x−4x+6

Answer»

Solve :

$\frac{9 x - 7}{3 x + 5} = \frac{3 x - 4}{x + 6}$

Discussion

2893.	Factorise:a2 – b2 + 2bc – c2
Answer» Factorise: a²– b²+ 2bc – c²

Discussion

2894.	What is the volume of a cube (in cu cm) of side 6 cm?216
Answer» What is the volume of a cube (in cu cm) of side 6 cm? 216

Discussion

2895.	Question 2(vii)Use the identity (x+a)(x+b)=x2+(a+b)x+ab to find the following products:(xyz−4)(xyz−2)
Answer» Question 2(vii) Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the following products: $(x y z - 4) (x y z - 2)$

Discussion

2896.	Question 33Find the following products:(i) (x2+2y)(x24−xy+4y2)(ii) (x2−1)(x4+x2+1)
Answer» Question 33 Find the following products: (i) $(\frac{x}{2} + 2 y) (\frac{x^{2}}{4} - x y + 4 y^{2})$ (ii) $(x^{2} - 1) (x^{4} + x^{2} + 1)$

Discussion

2897.	how to solve 10 to the power 9 x 10 to the power minus 19
Answer» how to solve 10 to the power 9 x 10 to the power minus 19

Discussion

2898.	What is the compound interest earned on a principal of ₹ 5000 at the rate of 20% p.a in 2 years?
Answer» What is the compound interest earned on a principal of ₹ 5000 at the rate of 20% p.a in 2 years?

Discussion

2899.	In an isosceles triangle, he vertex angle is twice the sum of the base angles. Find the angles of the triangle.
Answer» In an isosceles triangle, he vertex angle is twice the sum of the base angles. Find the angles of the triangle.

Discussion

2900.	Find a proper positive factor of 48 and a proper positive multiple of 48 which add up to a perfect square. Can you prove that there are infinitely many such pairs?
Answer» Find a proper positive factor of 48 and a proper positive multiple of 48 which add up to a perfect square. Can you prove that there are infinitely many such pairs?

Discussion

Explore topic-wise InterviewSolutions in .

P and Q are the points on the sides AB and AC respectivelyof the triangle ABC. if AP=4cm PB=6cm AQ=10cm and QC=15cm then BC i

Simplify: 24×32

What is (3 - 1)^2 + (4 - 1)^2 equal to?

What is the difference between the fraction and rational numbers?

Estimate the value √300 to the nearest whole number.

(i) Find the area of a rectangle of length 98 m and breadth 18 m.(ii) Find the length of each side of a square whose area is equal to the area of the rectangle in (i)

How much gas was used up (gallons):

If pq=(23)2÷(67)0 then the value of (qp)3 is-

Find the median for the distribution given below.Wages200−300300−400400−500500−600600−700Number of labourers3520106470

If dividend = x4+x3−2x2+x+1, divisor =x−1 and remainder = 2. Find the quotient q(x)

Question 1(e):From the figure, identify:Two points in the interior

Find 211.02 × 4

About Euclid's division lemma,if we have to apply this on 2 numbers in which 1st number is less than 2nd number, will the procedure be the same?

In the figure below, ΔABC is anequilateral triangle and EC = CD. What is the measure of ∠EDC?

If area of a parallelogram is 29.6 sq cm and its base is 8 cm, find its height.

Let pqr be a three digit number. Then, pqr+qrp+rpq is not divisible by

The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are1 m and 1.2 m and the perpendicular distance between them is 0.8 m.

Illustrate the steps of construction to construct a ∠ABC in which ∠B=75∘,∠C=60∘ and AB + BC + AC = 12 cm.

15y3÷5y= _____.

There are two spheres. If the radius of second sphere is four times the radius of first spheres, then what will be the ratio of the surface area of second sphere to first sphere?

Calculate the sum of the squares of 10 and 15.

Using the factorisation of xy2−xz2, evaluate the value of 6×32−6×22.

Factorise: x2+x−132

Question 8744 cows can graze a field in 9 days. How many less/more cows will graze the same field in 12 days?

Question 8(iv) Using (x+a)(x+b)=x2+(a+b)x+ab, find 9.7×9.8

What is the sum of weights of 650g and 145g?

A dice having numbers from 5 to 10 is thrown once. What is the probability of getting 6.

Question 89 (xiii)Factorise the following, using the identity, a2+2ab+b2=(a+b)22x3+24x2+72x

Identify the region in which the elements are divisible by 6.

(2y+5)(2y+5) =

The value of a car, bought for ₹4,40,000 depreciates each year by 10% of its value at the beginning of that year. So, its value becomes ₹3,08,000 after three years.

11. If z1 and z2 are complex numbers such that |5z1 - 3z2|² + |3z1 + 5z2|² = ¥(|z1|² + |z2|²) then ¥ is equal to Its of Target pg 110, Section F Q11

Electricity consumed by different households on a particular day are tabulated below. Number of Persons in House Consumption of Electricity (units) 486138151018Choose the correct scatter plot from the following which correctly represents the given data set.

Question 3 (ii)The squares of which of the following would be odd number:2826

The list price of a refrigerator is Rs. 9700. If a value added tax of 6% is to be chared on it, how much one has to pay to buy the refrigerator?

A 2 cm diameter coin rests flat on the bottom of a bowl in which the water is 20 cm deep (μ=43). If the coin is viewed directly from above, what is its apparent diameter?

If a set has 8 subsets, then it contains ___ elements

Question 53(vi)The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow.In which test was the performance better?

What is the value x and y?

Find the value of the product 1\2xy(7x^2 +6xy-y^2)when x=2 and y =-2

Question 35(213×657)−1=(213)−1× ___.

Solve : 9x−73x+5=3x−4x+6

Factorise:a2 – b2 + 2bc – c2

What is the volume of a cube (in cu cm) of side 6 cm?216

Question 2(vii)Use the identity (x+a)(x+b)=x2+(a+b)x+ab to find the following products:(xyz−4)(xyz−2)

Question 33Find the following products:(i) (x2+2y)(x24−xy+4y2)(ii) (x2−1)(x4+x2+1)

how to solve 10 to the power 9 x 10 to the power minus 19

What is the compound interest earned on a principal of ₹ 5000 at the rate of 20% p.a in 2 years?

In an isosceles triangle, he vertex angle is twice the sum of the base angles. Find the angles of the triangle.

Find a proper positive factor of 48 and a proper positive multiple of 48 which add up to a perfect square. Can you prove that there are infinitely many such pairs?