25365 + Interview Questions in Mathematics

1.	The value of x in 5x + 10 = 25 is:
Answer» The value of x in 5x + 10 = 25 is:

Discussion

2.	Fill in the blanks : (i) Additive inverse of −5−12=...... .(ii) −5−12+its additive inverse=...... .(iii) Ifabisadditiveinverseof−cd,then−cdisadditiveinverseof..... .Alsoab+(−c)d+ab=...... .
Answer» Fill in the blanks : $(i) Additive inverse of \frac{- 5}{- 12} = . . . . . . . (i i) \frac{- 5}{- 12} + its additive inverse = . . . . . . . (i i i) I f \frac{a}{b} i s a d d i t i v e i n v e r s e o f \frac{- c}{d}, then \frac{- c}{d} i s a d d i t i v e i n v e r s e o f . . . . . . Also \frac{a}{b} + \frac{(- c)}{d} + \frac{a}{b} = . . . . . . .$

Discussion

3.	___ cm is the height of a cylinder whose radius is 14 cm and the total surface area is 2640 sq.cm.
Answer» ___ cm is the height of a cylinder whose radius is 14 cm and the total surface area is 2640 sq.cm.

Discussion

4.	Question 6 (ii) Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after 112 Years if the interest is: (ii) Compounded half yearly.
Answer» Question 6 (ii) Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after $1 \frac{1}{2}$ Years if the interest is: (ii) Compounded half yearly.

Discussion

5.	Are linear equations only in one variable?
Answer» Are linear equations only in one variable?

Discussion

6.	If 4x=64, then which of the following relationship(s) hold true?
Answer» If $4^{x} = 64$ , then which of the following relationship(s) hold true?

Discussion

7.	Question 1(iii) Find the cube root of each of the following numbers by prime factorization method: 10648
Answer» Question 1(iii) Find the cube root of each of the following numbers by prime factorization method: 10648

Discussion

8.	Question 76 Fill in the blanks to make the statements true. A quadrilateral can be constructed uniquely if its three sides and ___ angles are given.
Answer» Question 76 Fill in the blanks to make the statements true. A quadrilateral can be constructed uniquely if its three sides and ___ angles are given.

Discussion

9.	Question 125 (iii) The plan and measurement for a house are given in the figure. The house is surrounded by a path 1 m wide. Find the area of the living room.
Answer» Question 125 (iii) The plan and measurement for a house are given in the figure. The house is surrounded by a path 1 m wide. Find the area of the living room.

9.

Question 125 (iii) The plan and measurement for a house are given in the figure. The house is surrounded by a path 1 m wide. Find the area of the living room.

Answer»

Question 125 (iii)

The plan and measurement for a house are given in the figure. The house is surrounded by a path 1 m wide.

Find the area of the living room.

Discussion

10.	Question 1 In figure, if ∠BAC=90∘ and AD⊥BC. Then, (A) BD.CD=BC2 (B) AB.AC=BC2 (C) BD.CD=AD2 (D) AB.AC=AD2
Answer» Question 1 In figure, if $∠ B A C = 90^{\circ} a n d A D ⊥ B C$ . Then, (A) $B D . C D = B C^{2}$ (B) $A B . A C = B C^{2}$ (C) $B D . C D = A D^{2}$ (D) $A B . A C = A D^{2}$

Discussion

11.	Question 26 Number of factors of (a+b)2 is a) 4 b) 3 c) 2 d) 1
Answer» Question 26 Number of factors of $(a + b)^{2}$ is a) 4 b) 3 c) 2 d) 1

Discussion

12.	Find the multiplicative inverse (i.e., reciprocal) of : (i) 1325 (ii) −1712 (iii) −724 (iv) 18 (v) −16 (vi) −3−5 (vii) −1 (viii) 02 (ix) 2−5 (x) −18
Answer» Find the multiplicative inverse (i.e., reciprocal) of : (i) $\frac{13}{25}$ (ii) $\frac{- 17}{12}$ (iii) $\frac{- 7}{24}$ (iv) $18$ (v) $- 16$ (vi) $\frac{- 3}{- 5}$ (vii) $- 1$ (viii) $\frac{0}{2}$ (ix) $\frac{2}{- 5}$ (x) $\frac{- 1}{8}$

12.

Find the multiplicative inverse (i.e., reciprocal) of : (i) 1325 (ii) −1712 (iii) −724 (iv) 18 (v) −16 (vi) −3−5 (vii) −1 (viii) 02 (ix) 2−5 (x) −18

Answer»

Find the multiplicative inverse (i.e., reciprocal) of :

(i) $\frac{13}{25}$ (ii) $\frac{- 17}{12}$ (iii) $\frac{- 7}{24}$ (iv) $18$ (v) $- 16$

(vi) $\frac{- 3}{- 5}$ (vii) $- 1$ (viii) $\frac{0}{2}$ (ix) $\frac{2}{- 5}$ (x) $\frac{- 1}{8}$

Discussion

13.	If you toss a 5 rupees coin in the air, which of the outcomes has high probability of occuring?
Answer» If you toss a 5 rupees coin in the air, which of the outcomes has high probability of occuring?

Discussion

14.	12 {(sum of parallel sides) × h}. Area of which of these figures could be calculated using this formula?
Answer» $\frac{1}{2}$ {(sum of parallel sides) × h}. Area of which of these figures could be calculated using this formula?

Discussion

15.	Express the following in usual form. 1.75×10−3
Answer» Express the following in usual form. $1.75 \times 10^{- 3}$

15.

Express the following in usual form. 1.75×10−3

Answer»

Express the following in usual form.

$1.75 \times 10^{- 3}$

Discussion

16.	If the selling price of an article is 1 1/3 of its cost price find the gain per cent
Answer» If the selling price of an article is 1 1/3 of its cost price find the gain per cent

Discussion

17.	Find the equation of radical axis of two circle x2 + y2 − 4x − 2y = 4 and x2 + y2 − 12x − 8y = 12.
Answer» Find the equation of radical axis of two circle $x^{2} + y^{2} - 4 x - 2 y = 4$ and $x^{2} + y^{2} - 12 x - 8 y = 12.$

Discussion

18.	The factorisation of 3a5−108a3 is equal to
Answer» The factorisation of $3 a^{5} - 108 a^{3}$ is equal to

Discussion

19.	38^2-37^2 Is there any additional method, if there can you please show
Answer» 38^2-37^2 Is there any additional method, if there can you please show

19.

38^2-37^2 Is there any additional method, if there can you please show

Answer»

38^2-37^2

Is there any additional method, if there can you please show

Discussion

20.	A carpenter needs to drill a hole in the wooden plank using a drilling machine. The depth of the hole to be drilled is 20cm. Find the time required to drill the hole if the machine drills at a speed of 0.3 m/min.
Answer» A carpenter needs to drill a hole in the wooden plank using a drilling machine. The depth of the hole to be drilled is 20cm. Find the time required to drill the hole if the machine drills at a speed of 0.3 m/min.

Discussion

21.	x^2+1/x^2=6, find the value of x^4+1/x^4
Answer» x^2+1/x^2=6, find the value of x^4+1/x^4

Discussion

22.	Hoe many sides does a regular polygon have if each of its interior angle is 165 degree.
Answer» Hoe many sides does a regular polygon have if each of its interior angle is 165 degree.

Discussion

23.	Question 3 Length of the fence of a trapezium-shaped field ABCD is 120 m. If BC = 48 m, CD = 17 m and AD = 40 m, find the area of this field. Side AB is perpendicular to the parallel sides AD and BC.
Answer» Question 3 Length of the fence of a trapezium-shaped field ABCD is 120 m. If BC = 48 m, CD = 17 m and AD = 40 m, find the area of this field. Side AB is perpendicular to the parallel sides AD and BC.

Discussion

24.	Question 6 (a) (a) What is the minimum interior angle possible for a regular polygon? Why?
Answer» Question 6 (a) (a) What is the minimum interior angle possible for a regular polygon? Why?

Discussion

25.	If all the persons are asked to stand in alphabetical order from left to right, the positions of how many will remain unchanged?
Answer» If all the persons are asked to stand in alphabetical order from left to right, the positions of how many will remain unchanged?

Discussion

26.	Factorise 4x2y6+16x3y2+24x4y3
Answer» Factorise $4 x^{2} y^{6} + 16 x^{3} y^{2} + 24 x^{4} y^{3}$

Discussion

27.	A two digit natural number leaves 1 and 3 as remainders when divided by 2 and 9 respectively. If the number is multiple of 5, what is the digit at its ten's place?
Answer» A two digit natural number leaves 1 and 3 as remainders when divided by 2 and 9 respectively. If the number is multiple of 5, what is the digit at its ten's place?

27.

A two digit natural number leaves 1 and 3 as remainders when divided by 2 and 9 respectively. If the number is multiple of 5, what is the digit at its ten's place?

Answer»

A two digit natural number leaves 1 and 3 as remainders when divided by 2 and 9 respectively. If the number is multiple of 5, what is the digit at its ten's place?

Discussion

28.	Find the surface area of a cube whose volume is 216 cm3.
Answer» Find the surface area of a cube whose volume is $216 c m^{3}$ .

Discussion

29.	The sides of a rectangle are in the ratio of 6 : 5 and its area is 750 sq.m. Find the perimeter of rectangle (in m).
Answer» The sides of a rectangle are in the ratio of 6 : 5 and its area is 750 sq.m. Find the perimeter of rectangle (in m).

Discussion

30.	(a) In a marathon, you started from checkpoint A and ran 5 km towards West. The checkpoint you reached was B. Then, you again ran for 12 km towards North and reached checkpoint C. Find the length of the shortest path which you must take to reach the finishing checkpoint A. (b) Show that the angles of an equilateral triangle are 60° each. [4 MARKS]
Answer» (a) In a marathon, you started from checkpoint A and ran 5 km towards West. The checkpoint you reached was B. Then, you again ran for 12 km towards North and reached checkpoint C. Find the length of the shortest path which you must take to reach the finishing checkpoint A. (b) Show that the angles of an equilateral triangle are 60° each. [4 MARKS]

Discussion

31.	If 25 men earn Rs. 1000 in 10 days, how much will 15 men earn in 15 days?
Answer» If 25 men earn Rs. 1000 in 10 days, how much will 15 men earn in 15 days?

Discussion

32.	Construct a frequency distribution table for the following marks obtained by 25 students in a history test in calss VIII of a school : 9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9, 12, 18, 17, 19, 20, 25, 9, 12, 17, 19, 19, 20, 9 (i) What is the range of marks ? (ii) What is the highest mark ? (iii) Which mark is occurring more frequently ?
Answer» Construct a frequency distribution table for the following marks obtained by 25 students in a history test in calss VIII of a school : 9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9, 12, 18, 17, 19, 20, 25, 9, 12, 17, 19, 19, 20, 9 (i) What is the range of marks ? (ii) What is the highest mark ? (iii) Which mark is occurring more frequently ?

32.

Construct a frequency distribution table for the following marks obtained by 25 students in a history test in calss VIII of a school : 9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9, 12, 18, 17, 19, 20, 25, 9, 12, 17, 19, 19, 20, 9 (i) What is the range of marks ? (ii) What is the highest mark ? (iii) Which mark is occurring more frequently ?

Answer»

Construct a frequency distribution table for the following marks obtained by 25 students in a history test in calss VIII of a school :

9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9, 12, 18, 17, 19, 20, 25, 9, 12, 17, 19, 19, 20, 9

(i) What is the range of marks ?

(ii) What is the highest mark ?

(iii) Which mark is occurring more frequently ?

Discussion

33.	The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 17 and the denominator is decreased by 6, the new number becomes 2. Find the original number.
Answer» The denominator of a rational number is greater than its numerator by $7.$ If the numerator is increased by $17$ and the denominator is decreased by $6,$ the new number becomes $2.$ Find the original number.

Discussion

34.	If the simple interest for a certain investment is Rs 240 for the first year, then find the compound interest for the same.
Answer» If the simple interest for a certain investment is Rs 240 for the first year, then find the compound interest for the same.

Discussion

35.	Hello. In have a doubt on quadrilaterals. PQRS is a quadrilateral such that angle P = to angle Q , angle R= angle S. If angle P = 2 angle R, find the angles of the quadrilateral Thanks!
Answer» Hello. In have a doubt on quadrilaterals. PQRS is a quadrilateral such that angle P = to angle Q , angle R= angle S. If angle P = 2 angle R, find the angles of the quadrilateral Thanks!

35.

Hello. In have a doubt on quadrilaterals. PQRS is a quadrilateral such that angle P = to angle Q , angle R= angle S. If angle P = 2 angle R, find the angles of the quadrilateral Thanks!

Answer»

Hello. In have a doubt on quadrilaterals.

PQRS is a quadrilateral such that angle P = to angle Q , angle R= angle S.

If angle P = 2 angle R, find the angles of the quadrilateral

Thanks!

Discussion

36.	What must be subtracted from (x3−3x2+5x−1) to get (2x3+x2−4x+2) ?
Answer» What must be subtracted from $(x^{3} - 3 x^{2} + 5 x - 1)$ to get $(2 x^{3} + x^{2} - 4 x + 2)$ ?

Discussion

37.	The degree of the polynomial obtained when 8−6x+x2−7x3+x5 is subtracted from x4−6x3+x2−3x+1 is
Answer» The degree of the polynomial obtained when $8 - 6 x + x^{2} - 7 x^{3} + x^{5}$ is subtracted from $x^{4} - 6 x^{3} + x^{2} - 3 x + 1$ is

Discussion

38.	If a+1a=3, then find the value of (a2+1a2)(a3+1a3)
Answer» If $a + \frac{1}{a} = 3$ , then find the value of $(a^{2} + \frac{1}{a^{2}}) (a^{3} + \frac{1}{a^{3}})$

Discussion

39.	Rationalize and simplify the expression 12+√3
Answer» Rationalize and simplify the expression $\frac{1}{2 + \sqrt{3}}$

Discussion

40.	Gabriella is x years old her brother is 8 years older n her sister is 12 years younger than she is if their total age is 5p years how old r they
Answer» Gabriella is x years old her brother is 8 years older n her sister is 12 years younger than she is if their total age is 5p years how old r they

Discussion

41.	Suppose a certain sum doubles in 2 year at r%rate of simple interest per annum and R% rate of interest per annum compounded annually. Then, (a) r<R (b) R<r (c) R=r (d) Cannot be determined
Answer» Suppose a certain sum doubles in $2$ year at $r %$ rate of simple interest per annum and $R %$ rate of interest per annum compounded annually. Then, (a) $r < R$ (b) $R < r$ (c) $R = r$ (d) Cannot be determined

41.

Suppose a certain sum doubles in 2 year at r%rate of simple interest per annum and R% rate of interest per annum compounded annually. Then, (a) r<R (b) R<r (c) R=r (d) Cannot be determined

Answer»

Suppose a certain sum doubles in $2$ year at $r %$ rate of simple interest per annum and $R %$ rate of interest per annum compounded annually.

Then,
(a) $r < R$
(b) $R < r$
(c) $R = r$
(d) Cannot be determined

Discussion

42.	There is a bag which contains 50 balls of same size. 20 of those balls are red in colour and remaining 30 are white. Now, if you take a ball out from the bag what can be said about its colour?
Answer» There is a bag which contains 50 balls of same size. 20 of those balls are red in colour and remaining 30 are white. Now, if you take a ball out from the bag what can be said about its colour?

Discussion

43.	[(129×129×387)+(187×187×561)][129×129−129×187+187×187]=
Answer» $\frac{[(129 \times 129 \times 387) + (187 \times 187 \times 561)]}{[129 \times 129 - 129 \times 187 + 187 \times 187]} =$

Discussion

44.	Question 15 In the given question, out of four options, only one is correct. Write the correct answer. If 5A×A=399, then the value of A is (a) 3 (b) 6 (c) 7 (d) 9
Answer» Question 15 In the given question, out of four options, only one is correct. Write the correct answer. If $5 A \times A = 399$ , then the value of A is (a) 3 (b) 6 (c) 7 (d) 9

Discussion

45.	Which of the following are in descending order of their value?
Answer» Which of the following are in descending order of their value?

Discussion

46.	The cost of an article is ₹ 15500 and ₹ 450 is spent on its repair. If the article is sold at a profit of 15% , then what is the selling price of the article?
Answer» The cost of an article is ₹ 15500 and ₹ 450 is spent on its repair. If the article is sold at a profit of 15% , then what is the selling price of the article?

Discussion

47.	Hemant and Nishant were partners in a firm sharing profits in the ratio of 3:2. Their capitals were Rs 1,60,000 and Rs 1,00,000 respectively. They admitted Somesh on 1st April, 2013 as new partner for 1/5th share in the future profits. Somesh brought Rs 1,20,000 as his capital. Calculate the value of goodwill of the firm and record necessary Journal entries for the above transactions on Somesh's admission.
Answer» Hemant and Nishant were partners in a firm sharing profits in the ratio of 3:2. Their capitals were Rs 1,60,000 and Rs 1,00,000 respectively. They admitted Somesh on 1st April, 2013 as new partner for 1/5th share in the future profits. Somesh brought Rs 1,20,000 as his capital. Calculate the value of goodwill of the firm and record necessary Journal entries for the above transactions on Somesh's admission.

Discussion

48.	The area of a trapezium shaped field is 480 m2, the distance between two parallel sides is 15 m and one of the parallel side is 20 m. The length of the other parallel side is ______ .
Answer» The area of a trapezium shaped field is 480 m², the distance between two parallel sides is 15 m and one of the parallel side is 20 m. The length of the other parallel side is ______ .

Discussion

49.	If 2.5% of 50 = a. Then the value of 100a is
Answer» If 2.5% of 50 = a. Then the value of 100a is

Discussion

50.	Expand : (i) (3x−4y+5z)2 (ii) (2a−5b−4c)2 (iii) (5x+3y)3 (iv) (6a−7b)3
Answer» Expand : (i) $(3 x - 4 y + 5 z)^{2}$ (ii) $(2 a - 5 b - 4 c)^{2}$ (iii) $(5 x + 3 y)^{3}$ (iv) $(6 a - 7 b)^{3}$

50.

Expand : (i) (3x−4y+5z)2 (ii) (2a−5b−4c)2 (iii) (5x+3y)3 (iv) (6a−7b)3

Answer»

Expand :

(i) $(3 x - 4 y + 5 z)^{2}$

(ii) $(2 a - 5 b - 4 c)^{2}$

(iii) $(5 x + 3 y)^{3}$

(iv) $(6 a - 7 b)^{3}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The value of x in 5x + 10 = 25 is:

Fill in the blanks : (i) Additive inverse of −5−12=...... .(ii) −5−12+its additive inverse=...... .(iii) Ifabisadditiveinverseof−cd,then−cdisadditiveinverseof..... .Alsoab+(−c)d+ab=...... .

___ cm is the height of a cylinder whose radius is 14 cm and the total surface area is 2640 sq.cm.

Question 6 (ii) Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after 112 Years if the interest is: (ii) Compounded half yearly.

Are linear equations only in one variable?

If 4x=64, then which of the following relationship(s) hold true?

Question 1(iii) Find the cube root of each of the following numbers by prime factorization method: 10648

Question 76 Fill in the blanks to make the statements true.​​​​​​​ ​​​​​​​A quadrilateral can be constructed uniquely if its three sides and ___ angles are given.

Question 125 (iii) The plan and measurement for a house are given in the figure. The house is surrounded by a path 1 m wide. Find the area of the living room.

Question 1 In figure, if ∠BAC=90∘ and AD⊥BC. Then, (A) BD.CD=BC2 (B) AB.AC=BC2 (C) BD.CD=AD2 (D) AB.AC=AD2

Question 26 Number of factors of (a+b)2 is a) 4 b) 3 c) 2 d) 1

Find the multiplicative inverse (i.e., reciprocal) of : (i) 1325 (ii) −1712 (iii) −724 (iv) 18 (v) −16 (vi) −3−5 (vii) −1 (viii) 02 (ix) 2−5 (x) −18

If you toss a 5 rupees coin in the air, which of the outcomes has high probability of occuring?

12 {(sum of parallel sides) × h}. Area of which of these figures could be calculated using this formula?

Express the following in usual form. 1.75×10−3

If the selling price of an article is 1 1/3 of its cost price find the gain per cent

Find the equation of radical axis of two circle x2 + y2 − 4x − 2y = 4 and x2 + y2 − 12x − 8y = 12.

The factorisation of 3a5−108a3 is equal to

38^2-37^2 Is there any additional method, if there can you please show

A carpenter needs to drill a hole in the wooden plank using a drilling machine. The depth of the hole to be drilled is 20cm. Find the time required to drill the hole if the machine drills at a speed of 0.3 m/min.

x^2+1/x^2=6, find the value of x^4+1/x^4

Hoe many sides does a regular polygon have if each of its interior angle is 165 degree.

Question 3 Length of the fence of a trapezium-shaped field ABCD is 120 m. If BC = 48 m, CD = 17 m and AD = 40 m, find the area of this field. Side AB is perpendicular to the parallel sides AD and BC.

Question 6 (a) (a) What is the minimum interior angle possible for a regular polygon? Why?

If all the persons are asked to stand in alphabetical order from left to right, the positions of how many will remain unchanged?

Factorise 4x2y6+16x3y2+24x4y3

A two digit natural number leaves 1 and 3 as remainders when divided by 2 and 9 respectively. If the number is multiple of 5, what is the digit at its ten's place?

Find the surface area of a cube whose volume is 216 cm3.

The sides of a rectangle are in the ratio of 6 : 5 and its area is 750 sq.m. Find the perimeter of rectangle (in m).

If 25 men earn Rs. 1000 in 10 days, how much will 15 men earn in 15 days?

The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 17 and the denominator is decreased by 6, the new number becomes 2. Find the original number.

If the simple interest for a certain investment is Rs 240 for the first year, then find the compound interest for the same.

Hello. In have a doubt on quadrilaterals. PQRS is a quadrilateral such that angle P = to angle Q , angle R= angle S. If angle P = 2 angle R, find the angles of the quadrilateral Thanks!

What must be subtracted from (x3−3x2+5x−1) to get (2x3+x2−4x+2) ?

The degree of the polynomial obtained when 8−6x+x2−7x3+x5 is subtracted from x4−6x3+x2−3x+1 is

If a+1a=3, then find the value of (a2+1a2)(a3+1a3)

Rationalize and simplify the expression 12+√3

Gabriella is x years old her brother is 8 years older n her sister is 12 years younger than she is if their total age is 5p years how old r they

Suppose a certain sum doubles in 2 year at r%rate of simple interest per annum and R% rate of interest per annum compounded annually. Then, (a) r&lt;R (b) R&lt;r (c) R=r (d) Cannot be determined

There is a bag which contains 50 balls of same size. 20 of those balls are red in colour and remaining 30 are white. Now, if you take a ball out from the bag what can be said about its colour?

[(129×129×387)+(187×187×561)][129×129−129×187+187×187]=

Question 15 In the given question, out of four options, only one is correct. Write the correct answer. If 5A×A=399, then the value of A is (a) 3 (b) 6 (c) 7 (d) 9

Which of the following are in descending order of their value?

The cost of an article is ₹ 15500 and ₹ 450 is spent on its repair. If the article is sold at a profit of 15% , then what is the selling price of the article?

The area of a trapezium shaped field is 480 m2, the distance between two parallel sides is 15 m and one of the parallel side is 20 m. The length of the other parallel side is ______ .

If 2.5% of 50 = a. Then the value of 100a is

Expand : (i) (3x−4y+5z)2 (ii) (2a−5b−4c)2 (iii) (5x+3y)3 (iv) (6a−7b)3

Question 76 Fill in the blanks to make the statements true. A quadrilateral can be constructed uniquely if its three sides and ___ angles are given.

Suppose a certain sum doubles in 2 year at r%rate of simple interest per annum and R% rate of interest per annum compounded annually. Then, (a) r<R (b) R<r (c) R=r (d) Cannot be determined