25365 + Interview Questions in Mathematics

1.	Question 66 In the following question, state whether the statement is True (T) or False (F): The factors of a2−2ab+b2 are (a+b) and (a+b).
Answer» Question 66 In the following question, state whether the statement is True (T) or False (F): The factors of $a^{2} - 2 a b + b^{2}$ are (a+b) and (a+b).

1.

Question 66 In the following question, state whether the statement is True (T) or False (F): The factors of a2−2ab+b2 are (a+b) and (a+b).

Answer»

Question 66

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

The factors of $a^{2} - 2 a b + b^{2}$ are (a+b) and (a+b).

2.	Question 149 Here is a table which gives the information about the total rainfall for several months compared to the average monthly rains of a town. Write each decimal in the form of rational number pq. MonthsAbove/Below normal (in cm)May2.6924June0.6096July−6.9088August−8.636
Answer» Question 149 Here is a table which gives the information about the total rainfall for several months compared to the average monthly rains of a town. Write each decimal in the form of rational number $\frac{p}{q}$ . $\begin{matrix} Months & Above/Below normal (in cm) May & 2.6924 June & 0.6096 July & - 6.9088 August & - 8.636 \end{matrix}$

Discussion

3.	Which of these set(s) is/are closed under subtraction?
Answer» Which of these set(s) is/are closed under subtraction?

Discussion

4.	Bacterial population doubles every hour. If there are 1000 bacteria now, when were 125 bacteria present?
Answer» Bacterial population doubles every hour. If there are 1000 bacteria now, when were 125 bacteria present?

Discussion

5.	Q. यदि राहुल ने 25 एकल बैडमिंटन मैच खेले और उनमें से 17 में जीत दर्ज की और यदि कोई मैच ड्रा या टाई नहीं था, तो राहुल के द्वारा जीते गए मैचों की संख्या और उसके द्वारा हारे हुए मैचों की संख्या का अनुपात क्या है?
Answer» Q. यदि राहुल ने $25$ एकल बैडमिंटन मैच खेले और उनमें से $17$ में जीत दर्ज की और यदि कोई मैच ड्रा या टाई नहीं था, तो राहुल के द्वारा जीते गए मैचों की संख्या और उसके द्वारा हारे हुए मैचों की संख्या का अनुपात क्या है?

Discussion

6.	Simplify: (x+1)(x−1)(2x−3)
Answer» Simplify: $(x + 1) (x - 1) (2 x - 3)$

Discussion

7.	A parallelogram has sides of 20 cm and 30 cm. If the distance between Its shorter sides is 15 cm; find the distance between the longer sides.
Answer» A parallelogram has sides of 20 cm and 30 cm. If the distance between Its shorter sides is 15 cm; find the distance between the longer sides.

Discussion

8.	Factorise: a2+6a−91
Answer» Factorise: $a^{2} + 6 a - 91$

Discussion

9.	EVALUATE: 1. 49 X 51 2. 30 X 32
Answer» EVALUATE: 1. 49 X 51 2. 30 X 32

9.

EVALUATE: 1. 49 X 51 2. 30 X 32

Answer»

EVALUATE:

1. 49 X 51

2. 30 X 32

Discussion

10.	Factorise: 4x2+9y2+16z2+12xy–24yz–16xz.
Answer» Factorise: $4 x^{2} + 9 y^{2} + 16 z^{2} + 12 x y - 24 y z - 16 x z .$

Discussion

11.	Simplify: ((15)−3−(13)−4(14)−3)
Answer» Simplify: $(\frac{(\frac{1}{5})^{- 3} - (\frac{1}{3})^{- 4}}{(\frac{1}{4})^{- 3}})$

Discussion

12.	Find the product of 5abc,7ab2and−2a3.
Answer» Find the product of $5 a b c, 7 a b^{2} a n d - 2 a^{3} .$

Discussion

13.	Question 7 Which of the following is a binomial? a) 7×a+a b) 6a2+7b+2c c) 4a×3b×2c d) 6(a2+b)
Answer» Question 7 Which of the following is a binomial? a) $7 \times a + a$ b) $6 a^{2} + 7 b + 2 c$ c) $4 a \times 3 b \times 2 c$ d) $6 (a^{2} + b)$

Discussion

14.	Find the value of X and total e.m.f.
Answer» Find the value of X and total e.m.f.

14.

Find the value of X and total e.m.f.

Answer»

Find the value of X and total e.m.f.

Discussion

15.	The measure of the angle of a quadrilateral are in the ratio 2:3:2:3. What type of quadrilateral is it?
Answer» The measure of the angle of a quadrilateral are in the ratio 2:3:2:3. What type of quadrilateral is it?

Discussion

16.	what should we take 64 as? A cube of 4 or square of 8 ?
Answer» what should we take 64 as? A cube of 4 or square of 8 ?

Discussion

17.	Sarita purchases biscuits costing Rs.158 on which the rate of tax is 6%. She also purchases some cosmetic goods costing Rs.354 on which the rate of tax is 9%. Find the total amount to be paid by Sarita.
Answer» Sarita purchases biscuits costing Rs.158 on which the rate of tax is 6%. She also purchases some cosmetic goods costing Rs.354 on which the rate of tax is 9%. Find the total amount to be paid by Sarita.

Discussion

18.	If ₹ 500 amounts to ₹ 583.20 in two years compounded annually, find the rate of interest per annum.
Answer» If ₹ 500 amounts to ₹ 583.20 in two years compounded annually, find the rate of interest per annum.

Discussion

19.	If 10 horses consume 18 bushels in 36 days. How long will 24 bushels last for 30 horses?
Answer» If 10 horses consume 18 bushels in 36 days. How long will 24 bushels last for 30 horses?

Discussion

20.	Evaluate : 3√729
Answer» Evaluate : $\sqrt[3]{729}$

Discussion

21.	Rachna borrowed a certain sum at the rate of 15% per annum. If she paid at the end of two years Rs. 1290 as interest compounded annually, find the sum she borrowed.
Answer» Rachna borrowed a certain sum at the rate of $15 %$ per annum. If she paid at the end of two years Rs. 1290 as interest compounded annually, find the sum she borrowed.

Discussion

22.	A shopkeeper allows 23% commission on his advertised price and still makes a profit of 10%. If he gains Rs. 56 on one item, find his advertised price.
Answer» A shopkeeper allows $23 %$ commission on his advertised price and still makes a profit of $10 %$ . If he gains Rs. 56 on one item, find his advertised price.

Discussion

23.	Question 82(v) The graph given below compares the price ( in Rs.) and weight of 6 bags ( in kg) of sugar of different brands A, B, C, D, E, F. Which bag is the lightest?
Answer» Question 82(v) The graph given below compares the price ( in Rs.) and weight of 6 bags ( in kg) of sugar of different brands A, B, C, D, E, F. Which bag is the lightest?

Discussion

24.	___ is the units digit of the cube of the number whose unit digit is 7.
Answer» ___ is the units digit of the cube of the number whose unit digit is 7.

Discussion

25.	A bicycle is available for Rs. 1,664 including tax. If the list price of the bicycle is Rs. 1,600, find : (i) the rate of Tax. (ii) the price, a customer will pay for the bicycle if the tax is increased by 6%.
Answer» A bicycle is available for Rs. 1,664 including tax. If the list price of the bicycle is Rs. 1,600, find : (i) the rate of Tax. (ii) the price, a customer will pay for the bicycle if the tax is increased by 6%.

Discussion

26.	Find the area of a rhombus whose diogonals are 40cm and 25 CM.
Answer» Find the area of a rhombus whose diogonals are 40cm and 25 CM.

Discussion

27.	Question 106 Write 390000000 in the standard form.
Answer» Question 106 Write 390000000 in the standard form.

27.

Question 106 Write 390000000 in the standard form.

Answer»

Question 106

Write 390000000 in the standard form.

Discussion

28.	(i) x2+y2+z2−xy+x+yz by x+y−z (ii) x2+4y2+z2+2xy+xz−2yz by x−2y−z (iii) x2+4y2+2xy−3x+6y+9 by x−2y+3 (iv) 9x2+25y2+15xy+2x−20y+16 by 3x−5y+4
Answer» (i) $x^{2} + y^{2} + z^{2} - x y + x + y z by x + y - z$ (ii) $x^{2} + 4 y^{2} + z^{2} + 2 x y + x z - 2 y z by x - 2 y - z$ (iii) $x^{2} + 4 y^{2} + 2 x y - 3 x + 6 y + 9 by x - 2 y + 3$ (iv) $9 x^{2} + 25 y^{2} + 15 x y + 2 x - 20 y + 16 by 3 x - 5 y + 4$

28.

(i) x2+y2+z2−xy+x+yz by x+y−z (ii) x2+4y2+z2+2xy+xz−2yz by x−2y−z (iii) x2+4y2+2xy−3x+6y+9 by x−2y+3 (iv) 9x2+25y2+15xy+2x−20y+16 by 3x−5y+4

Answer»

(i) $x^{2} + y^{2} + z^{2} - x y + x + y z by x + y - z$

(ii) $x^{2} + 4 y^{2} + z^{2} + 2 x y + x z - 2 y z by x - 2 y - z$

(iii) $x^{2} + 4 y^{2} + 2 x y - 3 x + 6 y + 9 by x - 2 y + 3$

(iv) $9 x^{2} + 25 y^{2} + 15 x y + 2 x - 20 y + 16 by 3 x - 5 y + 4$

Discussion

29.	Question 85 (vi) Expand the following, using suitable identities. (x+3)(x+7)
Answer» Question 85 (vi) Expand the following, using suitable identities. $(x + 3) (x + 7)$

29.

Question 85 (vi) Expand the following, using suitable identities. (x+3)(x+7)

Answer»

Question 85 (vi)

Expand the following, using suitable identities.

$(x + 3) (x + 7)$

Discussion

30.	The perpendicular distance of a point P from x-axis is 4 units and the perpendicular distance from y-axis is 5 units(assuming in the positive direction). What are the coordinates of P?
Answer» The perpendicular distance of a point P from x-axis is 4 units and the perpendicular distance from y-axis is 5 units(assuming in the positive direction). What are the coordinates of P?

Discussion

31.	Find the value of ((32)−1)−2 .
Answer» $F i n d t h e v a l u e o f ({(\frac{3}{2})^{- 1})}^{- 2}$ .

Discussion

32.	The quadrilateral whose diagonals are equal and bisect each other at right angle?
Answer» The quadrilateral whose diagonals are equal and bisect each other at right angle?

Discussion

33.	In CAT exam, Kevin scored 98% in the first attempt, 82% in the second attempt and 93% in the third attempt. This data can be represented by which if the following :- OPTIONS 1) bar graph 2) linear graph 3) pie chart 4) all of the above
Answer» In CAT exam, Kevin scored 98% in the first attempt, 82% in the second attempt and 93% in the third attempt. This data can be represented by which if the following :- OPTIONS 1) bar graph 2) linear graph 3) pie chart 4) all of the above

33.

In CAT exam, Kevin scored 98% in the first attempt, 82% in the second attempt and 93% in the third attempt. This data can be represented by which if the following :- OPTIONS 1) bar graph 2) linear graph 3) pie chart 4) all of the above

Answer»

In CAT exam, Kevin scored 98% in the first attempt, 82% in the second attempt and 93% in the third attempt. This data can be represented by which if the following :-

OPTIONS

1) bar graph

2) linear graph

3) pie chart

4) all of the above

Discussion

34.	I have doubt in this chapter How to find non perfect squares without actual calculation
Answer» I have doubt in this chapter How to find non perfect squares without actual calculation

34.

I have doubt in this chapter How to find non perfect squares without actual calculation

Answer»

I have doubt in this chapter

How to find non perfect squares without actual calculation

Discussion

35.	In a single throw of two coins, find the progagilit of getting (i) both tails, (ii) at least 1 tail, (iii) at the most 1 tail.
Answer» In a single throw of two coins, find the progagilit of getting (i) both tails, (ii) at least 1 tail, (iii) at the most 1 tail.

Discussion

36.	Question 2(v) Factorise (l+m)2−(l−m)2
Answer» Question 2(v) Factorise $(l + m)^{2} - (l - m)^{2}$

Discussion

37.	If ΔABC≅ΔPQR , then AB is equal to
Answer» If $Δ A B C ≅ Δ P Q R$ , then AB is equal to

Discussion

38.	Arif took a loan of ₹80,000 from a bank. If the rate of interest is 10% per annum, find the amount he would be paying after 112 years if the interest is compounded annually.
Answer» Arif took a loan of ₹80,000 from a bank. If the rate of interest is 10% per annum, find the amount he would be paying after $1 \frac{1}{2}$ years if the interest is compounded annually.

Discussion

39.	Factorise: (a+b)2−a2+b2
Answer» Factorise: $(a + b)^{2} - a^{2} + b^{2}$

39.

Factorise: (a+b)2−a2+b2

Answer»

Factorise:

$(a + b)^{2} - a^{2} + b^{2}$

Discussion

40.	Which of the rational numbers given in the options is/are equivalent to 23
Answer» Which of the rational numbers given in the options is/are equivalent to $\frac{2}{3}$

Discussion

41.	Construct a 3 * 3 magic square to get a magic sum of 93
Answer» Construct a 3 * 3 magic square to get a magic sum of 93

Discussion

42.	If I had drawn an quadrilateral with measurements and another student diagram is different from me but with correct measurements so I will get marks or not
Answer» If I had drawn an quadrilateral with measurements and another student diagram is different from me but with correct measurements so I will get marks or not

Discussion

43.	The following table gives the information regarding the number of persons employed to a piece of work and time taken to complete the work: Number of persons:2468Time taken in days:12643 Plot a graph of this information.
Answer» The following table gives the information regarding the number of persons employed to a piece of work and time taken to complete the work: $\begin{matrix} Number of persons : & 2 & 4 & 6 & 8 Time taken in days : & 12 & 6 & 4 & 3 \end{matrix}$ Plot a graph of this information.

Discussion

44.	The formula for amount A when the principal P is compounded annually at r% per year for t years is ______ .
Answer» The formula for amount A when the principal P is compounded annually at r% per year for t years is ______ .

Discussion

45.	Identify the term whose irreducible factor form is: -11 x p x p x p x q x q x q x q x r x r
Answer» Identify the term whose irreducible factor form is: -11 x p x p x p x q x q x q x q x r x r

45.

Identify the term whose irreducible factor form is: -11 x p x p x p x q x q x q x q x r x r

Answer»

Identify the term whose irreducible factor form is:

-11 x p x p x p x q x q x q x q x r x r

Discussion

46.	If the volume of a cubical tank is 125 m3, then its side is:
Answer» If the volume of a cubical tank is 125 m³, then its side is:

Discussion

47.	What will be the number of edges if there are 6 faces and 12 vertices?
Answer» What will be the number of edges if there are $6$ faces and $12$ vertices?

Discussion

48.	A dice is thrown once. Find the probability of getting a number less than 3.
Answer» A dice is thrown once. Find the probability of getting a number less than 3.

Discussion

49.	An isosceles triangle has perimeter 36 cm. If each of the equal sides is 10 cm, then the area of the triangle is _____cm2
Answer» An isosceles triangle has perimeter 36 cm. If each of the equal sides is 10 cm, then the area of the triangle is _____ ${cm}^{2}$

Discussion

50.	One of the diagonal of a rhombus is equal to one of its side. Find the angles of the rhombus
Answer» One of the diagonal of a rhombus is equal to one of its side. Find the angles of the rhombus

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 66 In the following question, state whether the statement is True (T) or False (F): The factors of a2−2ab+b2 are (a+b) and (a+b).

Question 149 Here is a table which gives the information about the total rainfall for several months compared to the average monthly rains of a town. Write each decimal in the form of rational number pq. MonthsAbove/Below normal (in cm)May2.6924June0.6096July−6.9088August−8.636

Which of these set(s) is/are closed under subtraction?

Bacterial population doubles every hour. If there are 1000 bacteria now, when were 125 bacteria present?

Simplify: (x+1)(x−1)(2x−3)

A parallelogram has sides of 20 cm and 30 cm. If the distance between Its shorter sides is 15 cm; find the distance between the longer sides.

Factorise: a2+6a−91

EVALUATE: 1. 49 X 51 2. 30 X 32

Factorise: 4x2+9y2+16z2+12xy–24yz–16xz.

Simplify: ((15)−3−(13)−4(14)−3)

Find the product of 5abc,7ab2and−2a3.

Question 7 Which of the following is a binomial? a) 7×a+a b) 6a2+7b+2c c) 4a×3b×2c d) 6(a2+b)

Find the value of X and total e.m.f.

The measure of the angle of a quadrilateral are in the ratio 2:3:2:3. What type of quadrilateral is it?

what should we take 64 as? A cube of 4 or square of 8 ?

Sarita purchases biscuits costing Rs.158 on which the rate of tax is 6%. She also purchases some cosmetic goods costing Rs.354 on which the rate of tax is 9%. Find the total amount to be paid by Sarita.

If ₹ 500 amounts to ₹ 583.20 in two years compounded annually, find the rate of interest per annum.

If 10 horses consume 18 bushels in 36 days. How long will 24 bushels last for 30 horses?

Evaluate : 3√729

Rachna borrowed a certain sum at the rate of 15% per annum. If she paid at the end of two years Rs. 1290 as interest compounded annually, find the sum she borrowed.

A shopkeeper allows 23% commission on his advertised price and still makes a profit of 10%. If he gains Rs. 56 on one item, find his advertised price.

Question 82(v) The graph given below compares the price ( in Rs.) and weight of 6 bags ( in kg) of sugar of different brands A, B, C, D, E, F. Which bag is the lightest?

___ is the units digit of the cube of the number whose unit digit is 7.

A bicycle is available for Rs. 1,664 including tax. If the list price of the bicycle is Rs. 1,600, find : (i) the rate of Tax. (ii) the price, a customer will pay for the bicycle if the tax is increased by 6%.

Find the area of a rhombus whose diogonals are 40cm and 25 CM.

Question 106 Write 390000000 in the standard form.

(i) x2+y2+z2−xy+x+yz by x+y−z (ii) x2+4y2+z2+2xy+xz−2yz by x−2y−z (iii) x2+4y2+2xy−3x+6y+9 by x−2y+3 (iv) 9x2+25y2+15xy+2x−20y+16 by 3x−5y+4

Question 85 (vi) Expand the following, using suitable identities. (x+3)(x+7)

The perpendicular distance of a point P from x-axis is 4 units and the perpendicular distance from y-axis is 5 units(assuming in the positive direction). What are the coordinates of P?

Find the value of ((32)−1)−2 .

The quadrilateral whose diagonals are equal and bisect each other at right angle?

In CAT exam, Kevin scored 98% in the first attempt, 82% in the second attempt and 93% in the third attempt. This data can be represented by which if the following :- OPTIONS 1) bar graph 2) linear graph 3) pie chart 4) all of the above

I have doubt in this chapter How to find non perfect squares without actual calculation

In a single throw of two coins, find the progagilit of getting (i) both tails, (ii) at least 1 tail, (iii) at the most 1 tail.

Question 2(v) Factorise (l+m)2−(l−m)2

If ΔABC≅ΔPQR , then AB is equal to

Arif took a loan of ₹80,000 from a bank. If the rate of interest is 10% per annum, find the amount he would be paying after 112 years if the interest is compounded annually.

Factorise: (a+b)2−a2+b2

Which of the rational numbers given in the options is/are equivalent to 23​

Construct a 3 * 3 magic square to get a magic sum of 93

If I had drawn an quadrilateral with measurements and another student diagram is different from me but with correct measurements so I will get marks or not

The following table gives the information regarding the number of persons employed to a piece of work and time taken to complete the work: Number of persons:2468Time taken in days:12643 Plot a graph of this information.

The formula for amount A when the principal P is compounded annually at r% per year for t years is ______ .

Identify the term whose irreducible factor form is: -11 x p x p x p x q x q x q x q x r x r

If the volume of a cubical tank is 125 m3, then its side is:

What will be the number of edges if there are 6 faces and 12 vertices?

A dice is thrown once. Find the probability of getting a number less than 3.

An isosceles triangle has perimeter 36 cm. If each of the equal sides is 10 cm, then the area of the triangle is _____cm2

One of the diagonal of a rhombus is equal to one of its side. Find the angles of the rhombus

Which of the rational numbers given in the options is/are equivalent to 23