25365 + Interview Questions in Mathematics Page 100 InterviewSolution

4951.	In triangle ABC, if angle C=90 degree. What is the value of (a+c)/b + (b+c)/a ?OPTIONS:a. c/rb. 1/2Rrc. 2d. R/r
Answer» In triangle ABC, if angle C=90 degree. What is the value of (a+c)/b + (b+c)/a ? OPTIONS: a. c/r b. 1/2Rr c. 2 d. R/r

Discussion

4952.	Evaluate:(i) 23×42(ii) 23×52
Answer» Evaluate: (i) $2^{3} \times 4^{2}$ (ii) $2^{3} \times 5^{2}$

Discussion

4953.	45. If }3^{2n+2}-8n-9 is divided by }64, then remainder is}
Answer» 45. If }3^{2n+2}-8n-9 is divided by }64, then remainder is}

Discussion

4954.	Determine the angle ∠FCE for the regular polygon ABCDEF. degrees.
Answer» Determine the angle ∠FCE for the regular polygon ABCDEF. degrees.

Discussion

4955.	There are 40 students in Joe's class. In a 20 marks class test, 10 students got 16 marks, 20 students got 15 marks and rest 10 students got 10 marks. The weighted average of marks in Joe's class is .
Answer» There are $40$ students in Joe's class. In a $20$ marks class test, $10$ students got $16$ marks, $20$ students got $15$ marks and rest $10$ students got $10$ marks. The weighted average of marks in Joe's class is .

Discussion

4956.	The value of a flat worth Rs 500000 is depreciating at the rate of 10% per annum. In how many years will its value be reduced to Rs. 364500? [4 MARKS]
Answer» The value of a flat worth Rs 500000 is depreciating at the rate of $10 %$ per annum. In how many years will its value be reduced to Rs. 364500? [4 MARKS]

Discussion

4957.	Solve : 8x−33x=2
Answer» Solve : $\frac{8 x - 3}{3 x} = 2$

4957.

Solve : 8x−33x=2

Answer»

Solve :

$\frac{8 x - 3}{3 x} = 2$

Discussion

4958.	Question 70In the following question, state whether the statement is True (T) or False (F):x2+(a+b)x+ab=(a+b)(x+ab)
Answer» Question 70 In the following question, state whether the statement is True (T) or False (F): $x^{2} + (a + b) x + a b = (a + b) (x + a b)$

4958.

Question 70In the following question, state whether the statement is True (T) or False (F):x2+(a+b)x+ab=(a+b)(x+ab)

Answer»

Question 70

In the following question, state whether the statement is True (T) or False (F):

$x^{2} + (a + b) x + a b = (a + b) (x + a b)$

Discussion

4959.	The locus of centroid of triangle formed by co-ordinate axes and the line segment whose point of trisection on co-ordinate axes is (a,2a), is a straight line. Then possible slope(s) of the line is/are
Answer» The locus of centroid of triangle formed by co-ordinate axes and the line segment whose point of trisection on co-ordinate axes is $(a, 2 a)$ , is a straight line. Then possible slope(s) of the line is/are

Discussion

4960.	Décrivez l'image en 5-6 lignes.
Answer» Décrivez l'image en 5-6 lignes.

Discussion

4961.	Write the following statement in five different ways, conveying the same meaning. p : If a triangle is equiangular, then it is an obtuse angled triangle.
Answer» Write the following statement in five different ways, conveying the same meaning. p : If a triangle is equiangular, then it is an obtuse angled triangle.

Discussion

4962.	Factorise the trinomial x2−x−12.
Answer» Factorise the trinomial $x^{2} - x - 12$ .

Discussion

4963.	Question 6In the given question, out of four options, only one is correct. Write the correct answer.A four-digit number aabb is divisible by 55. Then, possible value(s) of b is/are(a) 0 and 2(b) 2 and 5(c) 0 and 5(d) 7
Answer» Question 6 In the given question, out of four options, only one is correct. Write the correct answer. A four-digit number aabb is divisible by 55. Then, possible value(s) of b is/are (a) 0 and 2 (b) 2 and 5 (c) 0 and 5 (d) 7

Discussion

4964.	The greatest number under 10000 which is divisible by 7 ? What is the formula to find it?
Answer» The greatest number under 10000 which is divisible by 7 ? What is the formula to find it?

Discussion

4965.	114. If \|x\|-1/\|x\|-2
Answer» 114. If \|x\|-1/\|x\|-2 <=0 then x lies in the interval

Discussion

4966.	How to make 256 a perfect cube?
Answer» How to make 256 a perfect cube?

Discussion

4967.	Question 114A real estate agent receives Rs. 50000 as commission, which is 4 % of the selling price. At what price does the agent sell the property?
Answer» Question 114 A real estate agent receives Rs. 50000 as commission, which is 4 % of the selling price. At what price does the agent sell the property?

4967.

Question 114A real estate agent receives Rs. 50000 as commission, which is 4 % of the selling price. At what price does the agent sell the property?

Answer»

Question 114

A real estate agent receives Rs. 50000 as commission, which is 4 % of the selling price. At what price does the agent sell the property?

Discussion

4968.	Profit and loss
Answer» Profit and loss

Discussion

4969.	Write 5 rational numbers which are smaller than 2. Kindly explain with detailed steps.
Answer» Write 5 rational numbers which are smaller than 2. Kindly explain with detailed steps.

4969.

Write 5 rational numbers which are smaller than 2. Kindly explain with detailed steps.

Answer»

Write 5 rational numbers which are smaller than 2.

Kindly explain with detailed steps.

Discussion

4970.	The rectangle shown here is made up of identical squares. If the perimeter of the rectangle is 18 cm, what will be its area(in sq. cm)?20
Answer» The rectangle shown here is made up of identical squares. If the perimeter of the rectangle is 18 cm, what will be its area(in sq. cm)? 20

Discussion

4971.	Question 4 (ii) If a = 2, b = -2,find the value of: a2+ab+b2
Answer» Question 4 (ii) If a = 2, b = -2,find the value of: $a^{2} + a b + b^{2}$

4971.

Question 4 (ii) If a = 2, b = -2,find the value of: a2+ab+b2

Answer»

Question 4 (ii)

If a = 2, b = -2,find the value of:
$a^{2} + a b + b^{2}$

Discussion

4972.	Ifx+1/x=2 prove that x²+1/x²=3
Answer» Ifx+1/x=2 prove that x²+1/x²=3

Discussion

4973.	Dinesh received from Shridhar an acceptance for ₹ 3,000 on 1st September, 2018 at 3 months. Dinesh got the acceptance discounted at 9% p.a. from his bank. On the due date, Shridhar paid the required amount.Give the Journal entries in the books of Dinesh and Shridhar.
Answer» Dinesh received from Shridhar an acceptance for ₹ 3,000 on 1st September, 2018 at 3 months. Dinesh got the acceptance discounted at 9% p.a. from his bank. On the due date, Shridhar paid the required amount. Give the Journal entries in the books of Dinesh and Shridhar.

Discussion

4974.	The digit at the tens place of a two digit number is three times the digit at the units’ place. If the sum of this number and the number formed by reversing its digits is 88, find the number.
Answer» The digit at the tens place of a two digit number is three times the digit at the units’ place. If the sum of this number and the number formed by reversing its digits is 88, find the number.

Discussion

4975.	How many different (non-congruent) isosceles triangles can be drawn with one angle 80° and one side 8 centimetres.
Answer» How many different (non-congruent) isosceles triangles can be drawn with one angle 80° and one side 8 centimetres.

Discussion

4976.	Number of critical points of f(x)=x4e−x2 is
Answer» Number of critical points of $f (x) = x^{4} e^{- x^{2}}$ is

Discussion

4977.	(i) Find the smallest number by which 2592 be multiplied so that the product is a perfect square. (ii) Find the smallest number by which 12748 be multiplied so that the product is a perfect square ?
Answer» (i) Find the smallest number by which 2592 be multiplied so that the product is a perfect square. (ii) Find the smallest number by which 12748 be multiplied so that the product is a perfect square ?

4977.

(i) Find the smallest number by which 2592 be multiplied so that the product is a perfect square. (ii) Find the smallest number by which 12748 be multiplied so that the product is a perfect square ?

Answer»

(i) Find the smallest number by which 2592 be multiplied so that the product is a perfect square.

(ii) Find the smallest number by which 12748 be multiplied so that the product is a perfect square ?

Discussion

4978.	Question 10In the given question, out of four options, only one is correct. Write the correct answer.A six- digit number is formed by repeating a three-digit number. For example, 256256, 678678 etc. Any number of this form is divisible by(a) 7 only(b) 11 only(c) 13 only(d) 1001
Answer» Question 10 In the given question, out of four options, only one is correct. Write the correct answer. A six- digit number is formed by repeating a three-digit number. For example, 256256, 678678 etc. Any number of this form is divisible by (a) 7 only (b) 11 only (c) 13 only (d) 1001

Discussion

4979.	1) Find the no. of boys in a class strength of 30 with 60% no. of girls 2) On selling an article for 8100, a shopkeeper suffers a loss of 10%. Find the price at which the article was brought.
Answer» 1) Find the no. of boys in a class strength of 30 with 60% no. of girls 2) On selling an article for 8100, a shopkeeper suffers a loss of 10%. Find the price at which the article was brought.

Discussion

4980.	Here AB ∥ CD. If the altitude of △ACD is 6 cm and CD is 8 cm then the area of △BCD is:
Answer» Here AB $∥$ CD. If the altitude of $△$ ACD is 6 cm and CD is 8 cm then the area of $△$ BCD is:

4980.

Here AB ∥ CD. If the altitude of △ACD is 6 cm and CD is 8 cm then the area of △BCD is:

Answer»

Here AB $∥$ CD. If the altitude of $△$ ACD is 6 cm and CD is 8 cm then the area of $△$ BCD is:

Discussion

4981.	Use a suitable identity to get each of the following products (3a - 1\2) (3a- 1/2)
Answer» Use a suitable identity to get each of the following products (3a - 1\2) (3a- 1/2)

Discussion

4982.	Which of the following are squares of odd numbers? (i) 484 (ii) 961 (iii) 7396 (iv) 8649 (v) 4225
Answer» Which of the following are squares of odd numbers? (i) 484 (ii) 961 (iii) 7396 (iv) 8649 (v) 4225

Discussion

4983.	The pie diagram in figure shows the proportions of different workers in a town. Answer the following questions with its help.(1) If the total workers is 10,000; how many of them are in the field of construction ?(2) How many workers are working in the administration ?(3) What is the percentage of workers in production ?
Answer» The pie diagram in figure shows the proportions of different workers in a town. Answer the following questions with its help. (1) If the total workers is 10,000; how many of them are in the field of construction ? (2) How many workers are working in the administration ? (3) What is the percentage of workers in production ?

Discussion

4984.	In the given figure, AE and BD are two medians of △ABC meeting at F. The ratio of the area of △ABF and the quadrilateral FDCE is:
Answer» In the given figure, AE and BD are two medians of $△$ ABC meeting at F. The ratio of the area of $△$ ABF and the quadrilateral FDCE is:

4984.

In the given figure, AE and BD are two medians of △ABC meeting at F. The ratio of the area of △ABF and the quadrilateral FDCE is:

Answer»

In the given figure, AE and BD are two medians of $△$ ABC meeting at F. The ratio of the area of $△$ ABF and the quadrilateral FDCE is:

Discussion

4985.	Which of the following is not a prism?
Answer» Which of the following is not a prism?

Discussion

4986.	If the circumference of a circle is 40π m, then its radius is (in m)
Answer» If the circumference of a circle is $40 π m,$ then its radius is (in $m$ )

Discussion

4987.	Find the total area of a metal sheet which is in the form of a square of side 5 m.
Answer» Find the total area of a metal sheet which is in the form of a square of side $5 m$ .

Discussion

4988.	20. rank of word in dictionary sunny
Answer» 20. rank of word in dictionary sunny

Discussion

4989.	Show that n^3-n is divisible by 8
Answer» Show that n^3-n is divisible by 8

Discussion

4990.	Identify all the quadrilaterals that have (a) four sides of equal length (b) four right angles
Answer» Identify all the quadrilaterals that have (a) four sides of equal length (b) four right angles

4990.

Identify all the quadrilaterals that have (a) four sides of equal length (b) four right angles

Answer»

Identify
all the quadrilaterals that have

(a) four
sides of equal length

(b) four
right angles

Discussion

4991.	Let (1,−2),(−3,4) and (x,y) are the vertices of a triangle whose centroid is (y−23,x+23), then possible co-ordinates of the third vertex (x,y) are
Answer» Let $(1, - 2), (- 3, 4)$ and $(x, y)$ are the vertices of a triangle whose centroid is $(\frac{y - 2}{3}, \frac{x + 2}{3})$ , then possible co-ordinates of the third vertex $(x, y)$ are

Discussion

4992.	For the given quadrilateral, find the angle ∠D. degrees
Answer» For the given quadrilateral, find the angle $∠ D .$ degrees

Discussion

4993.	Question 52(v)The graph given below gives the actual and expected sales of cars of a company for 6 months. Study the graph and answer the questions that follow.What is the average sales of cars in the last three months?
Answer» Question 52(v) The graph given below gives the actual and expected sales of cars of a company for 6 months. Study the graph and answer the questions that follow. What is the average sales of cars in the last three months?

Discussion

4994.	Prove that the quadrilateral formed by the internal angle bisectors of any quadrilateral is cyclic
Answer» Prove that the quadrilateral formed by the internal angle bisectors of any quadrilateral is cyclic

Discussion

4995.	How many natural numbers are therebetween 310 and710?
Answer» How many natural numbers are there $between \frac{3}{10} and \frac{7}{10}$ ?

Discussion

4996.	Which of the following is a front view of a cone?
Answer» Which of the following is a front view of a cone?

Discussion

4997.	Select the number(s) for which factorial is defined.
Answer» Select the number(s) for which factorial is defined.

Discussion

4998.	Prove that a 4-digit palindrome is always divisible by 11.
Answer» Prove that a 4-digit palindrome is always divisible by 11.

Discussion

4999.	The smallest number that is to be multiplied with 6655 so that the product will be a perfect cube is ___.
Answer» The smallest number that is to be multiplied with 6655 so that the product will be a perfect cube is ___.

Discussion

5000.	Simplified result of (√45+√125) is
Answer» $Simplified result of (\sqrt{45} + \sqrt{125}) is$

Discussion

Explore topic-wise InterviewSolutions in .

In triangle ABC, if angle C=90 degree. What is the value of (a+c)/b + (b+c)/a ?OPTIONS:a. c/rb. 1/2Rrc. 2d. R/r

Evaluate:(i) 23×42(ii) 23×52

45. If }3^{2n+2}-8n-9 is divided by }64, then remainder is}

Determine the angle ∠FCE for the regular polygon ABCDEF. degrees.

There are 40 students in Joe's class. In a 20 marks class test, 10 students got 16 marks, 20 students got 15 marks and rest 10 students got 10 marks. The weighted average of marks in Joe's class is .

The value of a flat worth Rs 500000 is depreciating at the rate of 10% per annum. In how many years will its value be reduced to Rs. 364500? [4 MARKS]

Solve : 8x−33x=2

Question 70In the following question, state whether the statement is True (T) or False (F):x2+(a+b)x+ab=(a+b)(x+ab)

The locus of centroid of triangle formed by co-ordinate axes and the line segment whose point of trisection on co-ordinate axes is (a,2a), is a straight line. Then possible slope(s) of the line is/are

Décrivez l'image en 5-6 lignes.

Write the following statement in five different ways, conveying the same meaning. p : If a triangle is equiangular, then it is an obtuse angled triangle.

Factorise the trinomial x2−x−12.

Question 6In the given question, out of four options, only one is correct. Write the correct answer.A four-digit number aabb is divisible by 55. Then, possible value(s) of b is/are(a) 0 and 2(b) 2 and 5(c) 0 and 5(d) 7

The greatest number under 10000 which is divisible by 7 ? What is the formula to find it?

114. If |x|-1/|x|-2

How to make 256 a perfect cube?

Question 114A real estate agent receives Rs. 50000 as commission, which is 4 % of the selling price. At what price does the agent sell the property?

Profit and loss

Write 5 rational numbers which are smaller than 2. Kindly explain with detailed steps. ​​​

The rectangle shown here is made up of identical squares. If the perimeter of the rectangle is 18 cm, what will be its area(in sq. cm)?20

Question 4 (ii) If a = 2, b = -2,find the value of: a2+ab+b2

Ifx+1/x=2 prove that x²+1/x²=3

Dinesh received from Shridhar an acceptance for ₹ 3,000 on 1st September, 2018 at 3 months. Dinesh got the acceptance discounted at 9% p.a. from his bank. On the due date, Shridhar paid the required amount.Give the Journal entries in the books of Dinesh and Shridhar.

The digit at the tens place of a two digit number is three times the digit at the units’ place. If the sum of this number and the number formed by reversing its digits is 88, find the number.

How many different (non-congruent) isosceles triangles can be drawn with one angle 80° and one side 8 centimetres.

Number of critical points of f(x)=x4e−x2 is

(i) Find the smallest number by which 2592 be multiplied so that the product is a perfect square. (ii) Find the smallest number by which 12748 be multiplied so that the product is a perfect square ?

Question 10In the given question, out of four options, only one is correct. Write the correct answer.A six- digit number is formed by repeating a three-digit number. For example, 256256, 678678 etc. Any number of this form is divisible by(a) 7 only(b) 11 only(c) 13 only(d) 1001

1) Find the no. of boys in a class strength of 30 with 60% no. of girls 2) On selling an article for 8100, a shopkeeper suffers a loss of 10%. Find the price at which the article was brought.

Here AB ∥ CD. If the altitude of △ACD is 6 cm and CD is 8 cm then the area of △BCD is:

Use a suitable identity to get each of the following products (3a - 1\2) (3a- 1/2)

Which of the following are squares of odd numbers? (i) 484 (ii) 961 (iii) 7396 (iv) 8649 (v) 4225

In the given figure, AE and BD are two medians of △ABC meeting at F. The ratio of the area of △ABF and the quadrilateral FDCE is:

Which of the following is not a prism?

If the circumference of a circle is 40π m, then its radius is (in m)

Find the total area of a metal sheet which is in the form of a square of side 5 m.

20. rank of word in dictionary sunny

Show that n^3-n is divisible by 8

Identify all the quadrilaterals that have (a) four sides of equal length (b) four right angles

Let (1,−2),(−3,4) and (x,y) are the vertices of a triangle whose centroid is (y−23,x+23), then possible co-ordinates of the third vertex (x,y) are

For the given quadrilateral, find the angle ∠D. degrees

Question 52(v)The graph given below gives the actual and expected sales of cars of a company for 6 months. Study the graph and answer the questions that follow.What is the average sales of cars in the last three months?

Prove that the quadrilateral formed by the internal angle bisectors of any quadrilateral is cyclic

How many natural numbers are therebetween 310 and710?

Which of the following is a front view of a cone?

Select the number(s) for which factorial is defined.

Prove that a 4-digit palindrome is always divisible by 11.

The smallest number that is to be multiplied with 6655 so that the product will be a perfect cube is ___.

Simplified result of (√45+√125) is

Write 5 rational numbers which are smaller than 2. Kindly explain with detailed steps.