25365 + Interview Questions in Mathematics

1.	Factorize 16x³+54
Answer» Factorize 16x³+54

Discussion

2.	Question 6 (vi) 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: 1620
Answer» Question 6 (vi) 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: 1620

2.

Question 6 (vi) 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: 1620

Answer»

Question 6 (vi)

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:

1620

Discussion

3.	If xy=6 and x+x^2y+xy^2+y = 63, then x^2+y^2 =
Answer» If xy=6 and x+x^2y+xy^2+y = 63, then x^2+y^2 =

Discussion

4.	The greatest common divisor of 7x2yz4 and 21x2y5z5 is
Answer» The greatest common divisor of 7x²yz⁴ and 21x²y⁵z⁵ is

Discussion

5.	Can you treat a ring or a hollow cubical box as a point objects? Why/ why not?
Answer» Can you treat a ring or a hollow cubical box as a point objects? Why/ why not?

Discussion

6.	find twenty rational number between -3/7 and 2/3
Answer» find twenty rational number between -3/7 and 2/3

Discussion

7.	Factorise the given expression: ab(x2+y2)+xy(a2+b2)
Answer» $Factorise the given expression: a b (x^{2} + y^{2}) + x y (a^{2} + b^{2})$

Discussion

8.

Question 1(iv) Use a suitable identity to get each of the following products: (3a−12)(3a−12)

Answer»

Question 1(iv)

Use a suitable identity to get each of the following products:
$(3 a - \frac{1}{2}) (3 a - \frac{1}{2})$

Discussion

9.	A polyhedron with 8 edges and 5 faces has ___ vertices.
Answer» A polyhedron with 8 edges and 5 faces has ___ vertices.

Discussion

10.	If A = {1, 2, 3 }, B = {4, 5, 6 }, which of the following is not a relation from A to B
Answer» If A = {1, 2, 3 }, B = {4, 5, 6 }, which of the following is not a relation from A to B

Discussion

11.	3640 is divisible by
Answer» 3640 is divisible by

Discussion

12.	The monthly income of a man is ₹90000. 20% of it is paid as income tax and 75% of the remaining is spent on rent, food, clothing, etc. Total money left with him at the end of the month is ₹___
Answer» The monthly income of a man is ₹90000. 20% of it is paid as income tax and 75% of the remaining is spent on rent, food, clothing, etc. Total money left with him at the end of the month is ₹___

Discussion

13.	When we divide x3+2x2+2x+1 by (x+1) the quotient obtained is ___.
Answer» When we divide $x^{3} + 2 x^{2} + 2 x + 1$ by $(x + 1)$ the quotient obtained is ___.

Discussion

14.	In the figure, sides QP and RQ of ΔPQR are produced to points S and T, respectively. If ∠SPR = 135∘ and ∠PQT = 110∘, find 2∠PRQ.
Answer» In the figure, sides QP and RQ of $Δ$ PQR are produced to points S and T, respectively. If $∠$ SPR = $135^{\circ}$ and $∠$ PQT = $110^{\circ}$ , find 2 $∠$ PRQ.

14.

In the figure, sides QP and RQ of ΔPQR are produced to points S and T, respectively. If ∠SPR = 135∘ and ∠PQT = 110∘, find 2∠PRQ.

Answer»

In the figure, sides QP and RQ of $Δ$ PQR are produced to points S and T, respectively. If $∠$ SPR = $135^{\circ}$ and $∠$ PQT = $110^{\circ}$ , find 2 $∠$ PRQ.

Discussion

15.	Question 7 (i) Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangle ABC. (a) The median from A meets BC at D. Find the coordinates of point D.
Answer» Question 7 (i) Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangle ABC. (a) The median from A meets BC at D. Find the coordinates of point D.

Discussion

16.	In the given figure, ABQP and ABCD are two parallelograms on the same base AB. Area of parallelogram ABCDArea of triangle PAB is equal to:
Answer» In the given figure, ABQP and ABCD are two parallelograms on the same base AB. $\frac{A r e a o f p a r a l l e l o g r a m A B C D}{A r e a o f t r i a n g l e P A B}$ is equal to:

16.

In the given figure, ABQP and ABCD are two parallelograms on the same base AB. Area of parallelogram ABCDArea of triangle PAB is equal to:

Answer»

In the given figure, ABQP and ABCD are two parallelograms on the same base AB. $\frac{A r e a o f p a r a l l e l o g r a m A B C D}{A r e a o f t r i a n g l e P A B}$ is equal to:

Discussion

17.	Question 3 A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.
Answer» Question 3 A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.

Discussion

18.	A motorboat goes downstream in river and covers a distance between two coastal towns in 6 hours. It covers this distance upstream in 8 hours. If the speed of the stream is 2 km/hr, find the speed of the boat in still water. [4 MARKS]
Answer» A motorboat goes downstream in river and covers a distance between two coastal towns in 6 hours. It covers this distance upstream in 8 hours. If the speed of the stream is 2 km/hr, find the speed of the boat in still water. [4 MARKS]

Discussion

19.	Write six pairs of number (a, b) such that a×(−b)=c, where c is a positive integer. [4 MARKS]
Answer» Write six pairs of number (a, b) such that $a \times (- b) = c$ , where c is a positive integer. [4 MARKS]

Discussion

20.	The cost of a car depreciates at the rate of 20% every year. If its present worth is ₹315600, find the purchase value of the car, if it was purchased two years back.
Answer» The cost of a car depreciates at the rate of $20 %$ every year. If its present worth is ₹315600, find the purchase value of the car, if it was purchased two years back.

Discussion

21.	What is the cube root of 2744?
Answer» What is the cube root of 2744?

Discussion

22.	Which of these numbers is divisible by 6?
Answer» Which of these numbers is divisible by 6?

Discussion

23.	If the difference between a two- digit number 'ab' and the new number obtained by reversing its digits is taken as cd, then express cd in terms of a and b.
Answer» If the difference between a two- digit number 'ab' and the new number obtained by reversing its digits is taken as cd, then express cd in terms of a and b.

Discussion

24.	If a coin is tossed 3 times, what is the probability of getting no head?
Answer» If a coin is tossed 3 times, what is the probability of getting no head?

Discussion

25.	Cube root of a number x can also be written as ___
Answer» Cube root of a number $x$ can also be written as ___

Discussion

26.	Factorise (2x2+13x+15)
Answer» Factorise $(2 x^{2} + 13 x + 15)$

Discussion

27.	The monthly income of a person is ₹ 15,000. The central angle of the sector representing his expenses on food(in a month) on a pie chart showing the distribution of his monthly income is 60∘. What is the amount he spends on food in a month?
Answer» The monthly income of a person is ₹ 15,000. The central angle of the sector representing his expenses on food(in a month) on a pie chart showing the distribution of his monthly income is $60^{\circ}$ . What is the amount he spends on food in a month?

Discussion

28.	Calculate the compound interest on Rs. 5000 in 2 years; if the rates of interest for successive years be 10% and 12% respectively.
Answer» Calculate the compound interest on Rs. 5000 in 2 years; if the rates of interest for successive years be 10% and 12% respectively.

Discussion

29.	If the simple interest on ₹ 2400 be more than the interest on ₹ 2000 by ₹ 60 in 3 years at the same rate percent; Find the rate.
Answer» If the simple interest on ₹ 2400 be more than the interest on ₹ 2000 by ₹ 60 in 3 years at the same rate percent; Find the rate.

Discussion

30.	Chris bought a pen for ₹ 120. For how much should he sell it in order to make a profit of 25%?
Answer» Chris bought a pen for ₹ 120. For how much should he sell it in order to make a profit of 25%?

Discussion

31.	If the sum of the interior angles of a polygon is 1440∘, then it has ___ sides.
Answer» If the sum of the interior angles of a polygon is $1440^{\circ}$ , then it has ___ sides.

Discussion

32.	Choose the rational numbers whose numerator is (−5)×6, and the denominator is (34−23)×(7−5).
Answer» Choose the rational numbers whose numerator is $(- 5) \times 6$ , and the denominator is $(34 - 23) \times (7 - 5)$ .

Discussion

33.	Subtract 7x−3x2 from 4x+8x2
Answer» Subtract $7 x - 3 x^{2}$ from $4 x + 8 x^{2}$

Discussion

34.	The point which lies on the x-axis at a distance of 4 units in the negative direction of x-axis is?
Answer» The point which lies on the x-axis at a distance of 4 units in the negative direction of x-axis is?

Discussion

35.	Fill in the Blanks Question 19 For the point (5,2), the distance from the X-axis is ___ units.
Answer» Fill in the Blanks Question 19 For the point (5,2), the distance from the X-axis is ___ units.

Discussion

36.	Herman scored 40 marks in a test, getting 4 marks for each right answer and losing 1 mark for each wrong answer. If the number of wrong answers is 1 less than his number of correct answers, then how many questions did he answer correctly?
Answer» Herman scored 40 marks in a test, getting 4 marks for each right answer and losing 1 mark for each wrong answer. If the number of wrong answers is 1 less than his number of correct answers, then how many questions did he answer correctly?

Discussion

37.	The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3a is
Answer» The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3a is

Discussion

38.	If x:32::4:16, then value of x is:
Answer» If $x : 32 :: 4 : 16$ , then value of $x$ is:

38.

If x:32::4:16, then value of x is:

Answer»

If $x : 32 :: 4 : 16$ , then value of $x$ is:

Discussion

39.	Which operations on whole numbers are commutative?
Answer» Which operations on whole numbers are commutative?

Discussion

40.	In a straight line, what is the first basic angle that would be obtained?
Answer» In a straight line, what is the first basic angle that would be obtained?

Discussion

41.	A _______ is a parallelogram with equal sides.
Answer» A _______ is a parallelogram with equal sides.

Discussion

42.	In the given figure, ABCD is a parallelogram. If AM bisects ∠A and DM bisects ∠D, then ∠AMD = ____.
Answer» In the given figure, ABCD is a parallelogram. If AM bisects $∠ A$ and DM bisects $∠ D$ , then $∠ A M D$ = ____.

42.

In the given figure, ABCD is a parallelogram. If AM bisects ∠A and DM bisects ∠D, then ∠AMD = ____.

Answer»

In the given figure, ABCD is a parallelogram. If AM bisects $∠ A$ and DM bisects $∠ D$ , then $∠ A M D$ = ____.

Discussion

43.	In the given figure, ∠E > ∠A and ∠C > ∠D, then
Answer» In the given figure, ∠E > ∠A and ∠C > ∠D, then

Discussion

44.	Following are the marks scored by students in an English test worth 45 marks. 31, 26, 23, 26, 33, 34, 32, 33, 33, 37, 33, 54, 30, 45, 25
Answer» Following are the marks scored by students in an English test worth 45 marks. 31, 26, 23, 26, 33, 34, 32, 33, 33, 37, 33, 54, 30, 45, 25

Discussion

45.	Question 94 (iii) Carry out the following division: 17ab2c3÷(−abc2)
Answer» Question 94 (iii) Carry out the following division: $17 a b^{2} c^{3} \div (- a b c^{2})$

45.

Question 94 (iii) Carry out the following division: 17ab2c3÷(−abc2)

Answer»

Question 94 (iii)

Carry out the following division:

$17 a b^{2} c^{3} \div (- a b c^{2})$

Discussion

46.	A number is said to be an irrational number if its decimal form is
Answer» A number is said to be an irrational number if its decimal form is

Discussion

47.	Question 58 In the class intervals 10-20 and 20-30 respectively, 20 lies in the class___.
Answer» Question 58 In the class intervals 10-20 and 20-30 respectively, 20 lies in the class___.

47.

Question 58 In the class intervals 10-20 and 20-30 respectively, 20 lies in the class___.

Answer»

Question 58

In the class intervals 10-20 and 20-30 respectively, 20 lies in the class___.

Discussion

48.	A coin is tossed twice. Find the probability of getting: (i) exactly one head (ii) exactly one tail (iii) two tails (iv) two heads
Answer» A coin is tossed twice. Find the probability of getting: (i) exactly one head (ii) exactly one tail (iii) two tails (iv) two heads

Discussion

49.	13A6 is divisible by 9, find the value of A
Answer» 13A6 is divisible by 9, find the value of A

Discussion

50.	Two triangles are congruent if they have
Answer» Two triangles are congruent if they have

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Factorize 16x³+54

Question 6 (vi) 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: 1620

If xy=6 and x+x^2y+xy^2+y = 63, then x^2+y^2 =

The greatest common divisor of 7x2yz4 and 21x2y5z5 is

Can you treat a ring or a hollow cubical box as a point objects? Why/ why not?

find twenty rational number between -3/7 and 2/3

Factorise the given expression: ab(x2+y2)+xy(a2+b2)

Question 1(iv) Use a suitable identity to get each of the following products: (3a−12)(3a−12)

A polyhedron with 8 edges and 5 faces has ___ vertices.

If A = {1, 2, 3 }, B = {4, 5, 6 }, which of the following is not a relation from A to B

3640 is divisible by

The monthly income of a man is ₹90000. 20% of it is paid as income tax and 75% of the remaining is spent on rent, food, clothing, etc. Total money left with him at the end of the month is ₹___

When we divide x3+2x2+2x+1 by (x+1) the quotient obtained is ___.

In the figure, sides QP and RQ of ΔPQR are produced to points S and T, respectively. If ∠SPR = 135∘ and ∠PQT = 110∘, find 2∠PRQ.

Question 7 (i) Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangle ABC. (a) The median from A meets BC at D. Find the coordinates of point D.

In the given figure, ABQP and ABCD are two parallelograms on the same base AB. Area of parallelogram ABCDArea of triangle PAB is equal to:

Question 3 A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.

A motorboat goes downstream in river and covers a distance between two coastal towns in 6 hours. It covers this distance upstream in 8 hours. If the speed of the stream is 2 km/hr, find the speed of the boat in still water. [4 MARKS]

Write six pairs of number (a, b) such that a×(−b)=c, where c is a positive integer. [4 MARKS]

The cost of a car depreciates at the rate of 20% every year. If its present worth is ₹315600, find the purchase value of the car, if it was purchased two years back.

What is the cube root of 2744?

Which of these numbers is divisible by 6?

If the difference between a two- digit number 'ab' and the new number obtained by reversing its digits is taken as cd, then express cd in terms of a and b.

If a coin is tossed 3 times, what is the probability of getting no head?

Cube root of a number x can also be written as ___

Factorise (2x2+13x+15)

The monthly income of a person is ₹ 15,000. The central angle of the sector representing his expenses on food(in a month) on a pie chart showing the distribution of his monthly income is 60∘. What is the amount he spends on food in a month?

Calculate the compound interest on Rs. 5000 in 2 years; if the rates of interest for successive years be 10% and 12% respectively.

If the simple interest on ₹ 2400 be more than the interest on ₹ 2000 by ₹ 60 in 3 years at the same rate percent; Find the rate.

Chris bought a pen for ₹ 120. For how much should he sell it in order to make a profit of 25%?

If the sum of the interior angles of a polygon is 1440∘, then it has ___ sides.

Choose the rational numbers whose numerator is (−5)×6, and the denominator is (34−23)×(7−5).

Subtract 7x−3x2 from 4x+8x2

The point which lies on the x-axis at a distance of 4 units in the negative direction of x-axis is?

Fill in the Blanks Question 19 For the point (5,2), the distance from the X-axis is ___ units.

Herman scored 40 marks in a test, getting 4 marks for each right answer and losing 1 mark for each wrong answer. If the number of wrong answers is 1 less than his number of correct answers, then how many questions did he answer correctly?

The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3a is

If x:32::4:16, then value of x is:

Which operations on whole numbers are commutative?

In a straight line, what is the first basic angle that would be obtained?

A _______ is a parallelogram with equal sides.

In the given figure, ABCD is a parallelogram. If AM bisects ∠A and DM bisects ∠D, then ∠AMD = ____.

In the given figure, ∠E &gt; ∠A and ∠C &gt; ∠D, then

Following are the marks scored by students in an English test worth 45 marks. 31, 26, 23, 26, 33, 34, 32, 33, 33, 37, 33, 54, 30, 45, 25

Question 94 (iii) Carry out the following division: 17ab2c3÷(−abc2)

A number is said to be an irrational number if its decimal form is

Question 58 In the class intervals 10-20 and 20-30 respectively, 20 lies in the class___.

A coin is tossed twice. Find the probability of getting: (i) exactly one head (ii) exactly one tail (iii) two tails (iv) two heads

13A6 is divisible by 9, find the value of A

Two triangles are congruent if they have

In the given figure, ∠E > ∠A and ∠C > ∠D, then