25365 + Interview Questions in Mathematics Page 74 InterviewSolution

3651.	Simplify: a(2a+4a2−6a3).
Answer» Simplify: $a (2 a + 4 a^{2} - 6 a^{3})$ .

Discussion

3652.	The adjacent figure PQRS is a trapezium in which SP∥RQ, find the measures of ∠P and ∠R.
Answer» The adjacent figure PQRS is a trapezium in which $S P ∥ R Q$ , find the measures of $∠ P$ and $∠ R$ .

Discussion

3653.	148. Find some of square of first 100even numbers
Answer» 148. Find some of square of first 100even numbers

Discussion

3654.	Show that A∪B=A∩B implies A=B.
Answer» Show that $A \cup B = A \cap B$ implies $A = B$ .

Discussion

3655.	13.why can the triangles dividing a parallelogram into 2 equal parts proved congruent with sss congruence criteria
Answer» 13.why can the triangles dividing a parallelogram into 2 equal parts proved congruent with sss congruence criteria

Discussion

3656.	at present, Wasim's age (in years) is 5 more than the square of his son Zyan's age. whe Zyan grows to his father's present age, Wasim's age would be 16 years more than 10 times the present age of Zyan. find the present ages of both wasim and zyan
Answer» at present, Wasim's age (in years) is 5 more than the square of his son Zyan's age. whe Zyan grows to his father's present age, Wasim's age would be 16 years more than 10 times the present age of Zyan. find the present ages of both wasim and zyan

Discussion

3657.	Factorise : 1−(2x+3y)−6(2x+3y)2
Answer» Factorise : $1 - (2 x + 3 y) - 6 (2 x + 3 y)^{2}$

Discussion

3658.	The ratio of Vimal’s age and Arun’s age is 3:5 and sum of their ages is 80 years. The ratio of their ages after 10 years will be ____.
Answer» The ratio of Vimal’s age and Arun’s age is $3 : 5$ and sum of their ages is $80$ years. The ratio of their ages after $10$ years will be ____.

Discussion

3659.	Find the value of 3/ √0.09
Answer» Find the value of 3/ √0.09

Discussion

3660.	Let and be two parallel lines and be a transversal. Let intersect in L. suppose the bisector of ∠ALP intersect in R and the bisector of ∠PLB intersect in S. Prove that ∠LRS + ∠RSL = 90°
Answer» Let and be two parallel lines and be a transversal. Let intersect in L. suppose the bisector of ∠ALP intersect in R and the bisector of ∠PLB intersect in S. Prove that ∠LRS + ∠RSL = 90°

3660.

Let and be two parallel lines and be a transversal. Let intersect in L. suppose the bisector of ∠ALP intersect in R and the bisector of ∠PLB intersect in S. Prove that ∠LRS + ∠RSL = 90°

Answer»

Let and be two parallel lines and be a transversal. Let intersect in L. suppose the bisector of ∠ALP intersect in R and the bisector of ∠PLB intersect in S. Prove that ∠LRS + ∠RSL = 90°

Discussion

3661.	If m∠AOC=135∘, then x=?
Answer» If $m ∠ AOC = 135^{\circ}$ , then $x = ?$

Discussion

3662.	During the construction of a quadrilateral for which 2 sides and 3 angles are known, how is the 4th point plotted?
Answer» During the construction of a quadrilateral for which 2 sides and 3 angles are known, how is the 4th point plotted?

Discussion

3663.	What is the median of the following data: 1, 4, 7, 3, 9, 5, 3, 2, 7, 5.
Answer» What is the median of the following data: 1, 4, 7, 3, 9, 5, 3, 2, 7, 5.

Discussion

3664.	Can you work the multiplication out in your head?(i) 3 × (−4)(ii) 4 × (−3)(iii) (iv) (v) (vi) 3 × (−0.3)(vii) 20 × (−0.4)(viii) 9 × (−0.1)
Answer» Can you work the multiplication out in your head? (i) 3 × (−4) (ii) 4 × (−3) (iii) (iv) (v) (vi) 3 × (−0.3) (vii) 20 × (−0.4) (viii) 9 × (−0.1)

3664.

Can you work the multiplication out in your head?(i) 3 × (−4)(ii) 4 × (−3)(iii) (iv) (v) (vi) 3 × (−0.3)(vii) 20 × (−0.4)(viii) 9 × (−0.1)

Answer»

Can you work the multiplication out in your head?

(i) 3 × (−4)

(ii) 4 × (−3)

(iii)

(iv)

(v)

(vi) 3 × (−0.3)

(vii) 20 × (−0.4)

(viii) 9 × (−0.1)

Discussion

3665.	37.(X-1/2)1-2=1/8
Answer» 37.(X-1/2)1-2=1/8

Discussion

3666.	Fill in the blanks with appropriate answers:
Answer» Fill in the blanks with appropriate answers:

3666.

Fill in the blanks with appropriate answers:

Answer»

Fill in the blanks with appropriate answers:

Discussion

3667.	Simple interest on a sum of money is ₹ x after one year. The compound interest (compounded annually) at the same rate after one year is ₹ y. Which of the following is correct?
Answer» Simple interest on a sum of money is ₹ x after one year. The compound interest (compounded annually) at the same rate after one year is ₹ y. Which of the following is correct?

Discussion

3668.	In the given figure, AD is the bisector of ∠A and AB = AC. Prove that △ACD and △ABD are congruent.
Answer» In the given figure, AD is the bisector of $∠$ A and AB = AC. Prove that $△$ ACD and $△$ ABD are congruent.

3668.

In the given figure, AD is the bisector of ∠A and AB = AC. Prove that △ACD and △ABD are congruent.

Answer»

In the given figure, AD is the bisector of $∠$ A and AB = AC. Prove that $△$ ACD and $△$ ABD are congruent.

Discussion

3669.	Write down different method for finding square root.
Answer» Write down different method for finding square root.

Discussion

3670.	If a and b not divisible by 3. Find the reminder, if a cube+b cube is divisible by 3?
Answer» If a and b not divisible by 3. Find the reminder, if a cube+b cube is divisible by 3?

Discussion

3671.	Which of the following graph shows the equation y - x = 4?
Answer» Which of the following graph shows the equation y - x = 4?

Discussion

3672.	Question 34The marked price of an article when it is sold for Rs 880 after a discount of 12%, is ___
Answer» Question 34 The marked price of an article when it is sold for Rs 880 after a discount of 12%, is ___

3672.

Question 34The marked price of an article when it is sold for Rs 880 after a discount of 12%, is ___

Answer»

Question 34

The marked price of an article when it is sold for Rs 880 after a discount of 12%, is ___

Discussion

3673.	Determine the square of the fraction 56.
Answer» Determine the square of the fraction $\frac{5}{6}$ .

Discussion

3674.	Question 1A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?
Answer» Question 1 A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?

Discussion

3675.	Find the area of trapezium with base 15 cm and height 8 cm.If the side parallel to the given base is 9 cm long.
Answer» Find the area of trapezium with base 15 cm and height 8 cm.If the side parallel to the given base is 9 cm long.

Discussion

3676.	What will be the value of y for the point a?
Answer» What will be the value of $y$ for the point a?

Discussion

3677.	You select a t-shirt as a gift, through an online shop, which costs ₹1,625 with 40% discount. What is the final amount to be paid for the t-shirt?
Answer» You select a t-shirt as a gift, through an online shop, which costs ₹1,625 with 40% discount. What is the final amount to be paid for the t-shirt?

Discussion

3678.	The value of 3√3375×115 is
Answer» The value of $\sqrt[3]{3375} \times \frac{1}{15}$ is

Discussion

3679.	The number of persons in various age groups in a town is given in the following table:Draw a bar graph to represent the above information and answer the following question. (Take 1 unit length = 20 thousand)Which two age groups have the same population?
Answer» The number of persons in various age groups in a town is given in the following table: Draw a bar graph to represent the above information and answer the following question. (Take 1 unit length = 20 thousand) Which two age groups have the same population?

3679.

The number of persons in various age groups in a town is given in the following table:Draw a bar graph to represent the above information and answer the following question. (Take 1 unit length = 20 thousand)Which two age groups have the same population?

Answer»

The number of persons in various age groups in a town is given in the following table:

Draw a bar graph to represent the above information and answer the following question. (Take 1 unit length = 20 thousand)

Which two age groups have the same population?

Discussion

3680.	In the given figure, AC ⊥ CE and ∠A : ∠B : ∠C = 3 : 2 : 1, find the value of ∠ECD.
Answer» In the given figure, AC ⊥ CE and ∠A : ∠B : ∠C = 3 : 2 : 1, find the value of ∠ECD.

Discussion

3681.	Why 5% is equal to multiplying by 1.05?
Answer» Why 5% is equal to multiplying by 1.05?

Discussion

3682.	Find the value of (√49+√0.49+√0.0049 )×√10000.
Answer» $Find the value of (\sqrt{49} + \sqrt{0.49} + \sqrt{0.0049}) \times \sqrt{10000} .$

Discussion

3683.	Question 6 (iv) For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained: 2645
Answer» Question 6 (iv) For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained: 2645

3683.

Question 6 (iv) For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained: 2645

Answer»

Question 6 (iv)

For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

2645

Discussion

3684.	Question 88 (i) Factorise the following expression. 6ab+12bc
Answer» Question 88 (i) Factorise the following expression. $6 a b + 12 b c$

Discussion

3685.	Two equal chords of the circle maketriangles when their end points are joined to the center of circle with radii.
Answer» Two equal chords of the circle maketriangles when their end points are joined to the center of circle with radii.

Discussion

3686.	Mr. D has an account in the union bank of India. Calculate the interest from Jan to June 4% p.a.
Answer» Mr. D has an account in the union bank of India. Calculate the interest from Jan to June 4% p.a.

3686.

Mr. D has an account in the union bank of India. Calculate the interest from Jan to June 4% p.a.

Answer»

Mr. D has an account in the union bank of India. Calculate the interest from Jan to June 4% p.a.

Discussion

3687.	Find the ratio of the following:(a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.(b) 5 m to 10 km(c) 50 paise to Rs 5
Answer» Find the ratio of the following: (a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour. (b) 5 m to 10 km (c) 50 paise to Rs 5

3687.

Find the ratio of the following:(a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.(b) 5 m to 10 km(c) 50 paise to Rs 5

Answer»

Find the ratio of the following:

(a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.

(b) 5 m to 10 km

(c) 50 paise to Rs 5

Discussion

3688.	The quadrilateral formed by the lines x = 0, y = 0, x = 4 and y = 4 is a
Answer» The quadrilateral formed by the lines x = 0, y = 0, x = 4 and y = 4 is a

Discussion

3689.	Question 10(iii)Find and correct the errors in the following mathematical statement. Substituting x=−3 inx2+5x gives (−3)2+5(−3)=−9−15=−24
Answer» Question 10(iii) Find and correct the errors in the following mathematical statement. Substituting $x = - 3$ in $x^{2} + 5 x g i v e s (- 3)^{2} + 5 (- 3) = - 9 - 15 = - 24$

Discussion

3690.	Question 1(vii)Find the common factors of the terms10pq,20pr,30rp
Answer» Question 1(vii) Find the common factors of the terms 10pq,20pr,30rp

Discussion

3691.	Arational number is such that when you multiply it by andadd tothe product, you get.What is the number?
Answer» A rational number is such that when you multiply it by and add to the product, you get. What is the number?

Discussion

3692.	Question 86The rational number 7−4 lies to the right of zero on the number line.
Answer» Question 86 The rational number $\frac{7}{- 4}$ lies to the right of zero on the number line.

Discussion

3693.	If a chord of the circle x2+y2−4x−2y−c=0 is trisected at the points (1/3, 1/3) and (8/3, 8/3), then
Answer» If a chord of the circle $x^{2} + y^{2} - 4 x - 2 y - c = 0$ is trisected at the points (1/3, 1/3) and (8/3, 8/3), then

Discussion

3694.	A flooring tile is in the shape of a parallelogram of base is 24 cm and height is 10 cm. The number of such tiles required to cover a floor of area 1080 m2 is___ .
Answer» A flooring tile is in the shape of a parallelogram of base is 24 cm and height is 10 cm. The number of such tiles required to cover a floor of area 1080 $m^{2}$ is___ .

Discussion

3695.	Suppose in a quadrilateral ABCD, AC = BD and AD = BC. Prove that ABCD is a trapezium.
Answer» Suppose in a quadrilateral ABCD, AC = BD and AD = BC. Prove that ABCD is a trapezium.

Discussion

3696.	Question 16 In the given question, out of four options, only one is correct. Write the correct answer. If 6A × B = A8B, then the value of A - B is (a) -2 (b) 2 (c) -3 (d) 3
Answer» Question 16 In the given question, out of four options, only one is correct. Write the correct answer. If 6A $\times$ B = A8B, then the value of A - B is (a) -2 (b) 2 (c) -3 (d) 3

Discussion

3697.	The number of arbitrary constants in the general solution of the differential equation of order three is __________________.
Answer» The number of arbitrary constants in the general solution of the differential equation of order three is __________________.

Discussion

3698.	Express the following rational number in its standard form:−1535
Answer» Express the following rational number in its standard form: $\frac{- 15}{35}$

Discussion

3699.	A radio was bought at a price of Rs 200. After one year the value of radio was depreciated by 10%. Find the value of the radio after one year.
Answer» A radio was bought at a price of Rs 200. After one year the value of radio was depreciated by 10%. Find the value of the radio after one year.

Discussion

3700.	Find the least number added to 6203 to obtain a perfect squares .find this perfect square and its square root
Answer» Find the least number added to 6203 to obtain a perfect squares .find this perfect square and its square root

Discussion

Explore topic-wise InterviewSolutions in .

Simplify: a(2a+4a2−6a3).

The adjacent figure PQRS is a trapezium in which SP∥RQ, find the measures of ∠P and ∠R.

148. Find some of square of first 100even numbers

Show that A∪B=A∩B implies A=B.

13.why can the triangles dividing a parallelogram into 2 equal parts proved congruent with sss congruence criteria

at present, Wasim's age (in years) is 5 more than the square of his son Zyan's age. whe Zyan grows to his father's present age, Wasim's age would be 16 years more than 10 times the present age of Zyan. find the present ages of both wasim and zyan

Factorise : 1−(2x+3y)−6(2x+3y)2

The ratio of Vimal’s age and Arun’s age is 3:5 and sum of their ages is 80 years. The ratio of their ages after 10 years will be ____.

Find the value of 3/ √0.09

Let and be two parallel lines and be a transversal. Let intersect in L. suppose the bisector of ∠ALP intersect in R and the bisector of ∠PLB intersect in S. Prove that ∠LRS + ∠RSL = 90°

If m∠AOC=135∘, then x=?

During the construction of a quadrilateral for which 2 sides and 3 angles are known, how is the 4th point plotted?

What is the median of the following data: 1, 4, 7, 3, 9, 5, 3, 2, 7, 5.

Can you work the multiplication out in your head?(i) 3 × (−4)(ii) 4 × (−3)(iii) (iv) (v) (vi) 3 × (−0.3)(vii) 20 × (−0.4)(viii) 9 × (−0.1)

37.(X-1/2)1-2=1/8

Fill in the blanks with appropriate answers:

Simple interest on a sum of money is ₹ x after one year. The compound interest (compounded annually) at the same rate after one year is ₹ y. Which of the following is correct?

In the given figure, AD is the bisector of ∠A and AB = AC. Prove that △ACD and △ABD are congruent.

Write down different method for finding square root.

If a and b not divisible by 3. Find the reminder, if a cube+b cube is divisible by 3?

Which of the following graph shows the equation y - x = 4?

Question 34The marked price of an article when it is sold for Rs 880 after a discount of 12%, is ___

Determine the square of the fraction 56.

Question 1A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?

Find the area of trapezium with base 15 cm and height 8 cm.If the side parallel to the given base is 9 cm long.

What will be the value of y for the point a?

You select a t-shirt as a gift, through an online shop, which costs ₹1,625 with 40% discount. What is the final amount to be paid for the t-shirt?

The value of 3√3375×115 is

The number of persons in various age groups in a town is given in the following table:Draw a bar graph to represent the above information and answer the following question. (Take 1 unit length = 20 thousand)Which two age groups have the same population?

In the given figure, AC ⊥ CE and ∠A : ∠B : ∠C = 3 : 2 : 1, find the value of ∠ECD.

Why 5% is equal to multiplying by 1.05?

Find the value of (√49+√0.49+√0.0049 )×√10000.

Question 6 (iv) For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained: 2645

Question 88 (i) Factorise the following expression. 6ab+12bc

Two equal chords of the circle maketriangles when their end points are joined to the center of circle with radii.

Mr. D has an account in the union bank of India. Calculate the interest from Jan to June 4% p.a.

Find the ratio of the following:(a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.(b) 5 m to 10 km(c) 50 paise to Rs 5

The quadrilateral formed by the lines x = 0, y = 0, x = 4 and y = 4 is a

Question 10(iii)Find and correct the errors in the following mathematical statement. Substituting x=−3 inx2+5x gives (−3)2+5(−3)=−9−15=−24

Question 1(vii)Find the common factors of the terms10pq,20pr,30rp

Arational number is such that when you multiply it by andadd tothe product, you get.What is the number?

Question 86The rational number 7−4 lies to the right of zero on the number line.

If a chord of the circle x2+y2−4x−2y−c=0 is trisected at the points (1/3, 1/3) and (8/3, 8/3), then

A flooring tile is in the shape of a parallelogram of base is 24 cm and height is 10 cm. The number of such tiles required to cover a floor of area 1080 m2 is___ .

Suppose in a quadrilateral ABCD, AC = BD and AD = BC. Prove that ABCD is a trapezium.

Question 16 In the given question, out of four options, only one is correct. Write the correct answer. If 6A × B = A8B, then the value of A - B is (a) -2 (b) 2 (c) -3 (d) 3

The number of arbitrary constants in the general solution of the differential equation of order three is __________________.

Express the following rational number in its standard form:−1535

A radio was bought at a price of Rs 200. After one year the value of radio was depreciated by 10%. Find the value of the radio after one year.

Find the least number added to 6203 to obtain a perfect squares .find this perfect square and its square root​​​​​​​

Find the least number added to 6203 to obtain a perfect squares .find this perfect square and its square root