25365 + Interview Questions in Mathematics

1.	Which of the following numbers can be the missing digit in the number 2344_6, if the number is divisible by 4?
Answer» Which of the following numbers can be the missing digit in the number 2344_6, if the number is divisible by 4?

Discussion

2.	Using the factorisation of xy2−xz2, evaluate the value of 6×32−6×22.
Answer» Using the factorisation of $x y^{2} - x z^{2}$ , evaluate the value of $6 \times 3^{2} - 6 \times 2^{2}$ .

Discussion

3.	If the sides of a triangle are 4 cm, 6 cm and 6 cm, then find the height corresponding to the smallest side.
Answer» If the sides of a triangle are $4 c m, 6 c m$ and $6 c m,$ then find the height corresponding to the smallest side.

Discussion

4.	A sum of money is put at compound interest for 2 years at 20% p.a. It would fetch ₹ 241 more, if the interest were payable half-yearly, than if it were payable yearly. The sum is
Answer» A sum of money is put at compound interest for 2 years at $20 %$ p.a. It would fetch ₹ 241 more, if the interest were payable half-yearly, than if it were payable yearly. The sum is

Discussion

5.	(a+b)2+(a−b)2=_______
Answer» $(a + b)^{2} + (a - b)^{2} =$ _______

Discussion

6.	What is the total surface area of a closed hemisphere?
Answer» What is the total surface area of a closed hemisphere?

Discussion

7.	Express 0.00036 in the standard form
Answer» Express 0.00036 in the standard form

Discussion

8.	Two adjacent angles of rhombus are 3x−40∘ and 2x+20∘.Find the measurement of the greater angle.
Answer» $Two adjacent angles of rhombus are 3 x - 40^{\circ} and 2 x + 20^{\circ} . Find the measurement of the greater angle.$

Discussion

9.	By what least number should 648 be multiplied to get a perfect cube? (a) 3 (b) 6 (c) 9 (d) 8
Answer» By what least number should 648 be multiplied to get a perfect cube? (a) 3 (b) 6 (c) 9 (d) 8

9.

By what least number should 648 be multiplied to get a perfect cube? (a) 3 (b) 6 (c) 9 (d) 8

Answer»

By what least number should 648 be multiplied to get a perfect cube?
(a) 3 (b) 6
(c) 9 (d) 8

Discussion

10.	√214=? (a) 212 (b) 112 (c) 114 (d) None of these
Answer» $\sqrt{2 \frac{1}{4}} = ?$ (a) $2 \frac{1}{2}$ (b) $1 \frac{1}{2}$ (c) $1 \frac{1}{4}$ (d) None of these

Discussion

11.	Bill noticed that it was easy to find occupants of the “House of Rational Numbers, Q” if they “dressed up” in their decimal form. He wanted to understand if he could locate the occupants of the house on Numerus Linum if they were in their “pq” form. Bill remembered interacting once with the occupant “29” before. He thought of locating this on the line. Bill knew that this occupant lived between occupants “0” and “1” – both of which had markings on the line. To locate “29”, Bill first mentally divided the part on Numerus Linum between 0 and 1 with required number of markings – which was “x”. Then he navigated to division number “y” after 0 to reach “29”. What is the numerical value of (x+y)? ___
Answer» Bill noticed that it was easy to find occupants of the “House of Rational Numbers, Q” if they “dressed up” in their decimal form. He wanted to understand if he could locate the occupants of the house on Numerus Linum if they were in their “ $\frac{p}{q}$ ” form. Bill remembered interacting once with the occupant “ $\frac{2}{9}$ ” before. He thought of locating this on the line. Bill knew that this occupant lived between occupants “0” and “1” – both of which had markings on the line. To locate “ $\frac{2}{9}$ ”, Bill first mentally divided the part on Numerus Linum between 0 and 1 with required number of markings – which was “x”. Then he navigated to division number “y” after 0 to reach “ $\frac{2}{9}$ ”. What is the numerical value of (x+y)? ___

11.

Bill noticed that it was easy to find occupants of the “House of Rational Numbers, Q” if they “dressed up” in their decimal form. He wanted to understand if he could locate the occupants of the house on Numerus Linum if they were in their “pq” form. Bill remembered interacting once with the occupant “29” before. He thought of locating this on the line. Bill knew that this occupant lived between occupants “0” and “1” – both of which had markings on the line. To locate “29”, Bill first mentally divided the part on Numerus Linum between 0 and 1 with required number of markings – which was “x”. Then he navigated to division number “y” after 0 to reach “29”. What is the numerical value of (x+y)? ___

Answer»

Bill noticed that it was easy to find occupants of the “House of Rational Numbers, Q” if they “dressed up” in their decimal form. He wanted to understand if he could locate the occupants of the house on Numerus Linum if they were in their “ $\frac{p}{q}$ ” form. Bill remembered interacting once with the occupant “ $\frac{2}{9}$ ” before. He thought of locating this on the line. Bill knew that this occupant lived between occupants “0” and “1” – both of which had markings on the line. To locate “ $\frac{2}{9}$ ”, Bill first mentally divided the part on Numerus Linum between 0 and 1 with required number of markings – which was “x”. Then he navigated to division number “y” after 0 to reach “ $\frac{2}{9}$ ”.

What is the numerical value of (x+y)?

___

Discussion

12.	1 mm = ___ cm
Answer» 1 mm = ___ cm

Discussion

13.	Which figure is a polygon with 9 sides?
Answer» Which figure is a polygon with 9 sides?

Discussion

14.	Factorise x^4+x^2 y^2+y^4
Answer» Factorise x^4+x^2 y^2+y^4

Discussion

15.	A boy covers a distance of 25km in 4h partly on foot at the rate of 3.5kmph and partly on cycle at 9kmph. Find the distance covered on foot.
Answer» A boy covers a distance of 25km in 4h partly on foot at the rate of 3.5kmph and partly on cycle at 9kmph. Find the distance covered on foot.

Discussion

16.	Amit borrowed Rs. 16000 at 1712% per annum simple interest on the same day, he lent it to Ashu at the same rate but compounded annually. What does he gain at the end of 2 years?
Answer» Amit borrowed Rs. 16000 at $17 \frac{1}{2} %$ per annum simple interest on the same day, he lent it to Ashu at the same rate but compounded annually. What does he gain at the end of 2 years?

Discussion

17.	What are the resultant coordinates of (x, y) when it is reflected through X axis?
Answer» What are the resultant coordinates of (x, y) when it is reflected through X axis?

Discussion

18.	Question 64(a) The following table gives the growth chart of a child. Height (in cm)7590110120130Age (in years)246810 Draw a line graph for the table and answer the question that follows. (a) What is the height at the age of 5 years?
Answer» Question 64(a) The following table gives the growth chart of a child. $\begin{matrix} H e i g h t (i n c m) & 75 & 90 & 110 & 120 & 130 A g e (i n y e a r s) & 2 & 4 & 6 & 8 & 10 \end{matrix}$ Draw a line graph for the table and answer the question that follows. (a) What is the height at the age of 5 years?

Discussion

19.	Solve: 43÷(1−13) 2
Answer» Solve: $\frac{4}{3} \div (1 - \frac{1}{3})$ 2

Discussion

20.	Solve the following inequalities graphically in two dimensional plane: 2x -3y > 6
Answer» Solve the following inequalities graphically in two dimensional plane: 2x -3y > 6

20.

Solve the following inequalities graphically in two dimensional plane: 2x -3y > 6

Answer»

Solve the following inequalities graphically in two dimensional plane:

2x -3y > 6

Discussion

21.	Anna deposited Rs 200 per month for 36 months in a bank's recurring deposit account. If the bank pays interest at the rate of 11% per annum, what is the amount she gets on maturity (i.e. at the end of 36 months). ?
Answer» Anna deposited Rs 200 per month for 36 months in a bank's recurring deposit account. If the bank pays interest at the rate of 11% per annum, what is the amount she gets on maturity (i.e. at the end of 36 months). ?

Discussion

22.	If the sum of the age of A and B is 30 years. Just after the five years A age will be three time older than B . Find thier present age.
Answer» If the sum of the age of A and B is 30 years. Just after the five years A age will be three time older than B . Find thier present age.

Discussion

23.	The difference between simple interest and compound interest on ₹ 1200 for one year at 10 per annum reckoned half-yearly is ₹ ___ .
Answer» The difference between simple interest and compound interest on ₹ $1200$ for one year at $10$ per annum reckoned half-yearly is ₹ ___ .

Discussion

24.	There are 4 right triangles the ratio if perpendicular sides 3:4 in each. One more fact about each is given below. Find the lengths of the sides of each triangle.i) the different in the length of the perpendiclular sides is 24 meters.ii)the hypotension is 24mtrs. iii) the perimeter is 24 meters. IV the area is 24square metres
Answer» There are 4 right triangles the ratio if perpendicular sides 3:4 in each. One more fact about each is given below. Find the lengths of the sides of each triangle.i) the different in the length of the perpendiclular sides is 24 meters.ii)the hypotension is 24mtrs. iii) the perimeter is 24 meters. IV the area is 24square metres

Discussion

25.	The regular polygon whose exterior angle is 40∘ is
Answer» The regular polygon whose exterior angle is $40^{\circ}$ is

Discussion

26.	To find the cube of a two-digit number using column method, which of the following identity is used?
Answer» To find the cube of a two-digit number using column method, which of the following identity is used?

Discussion

27.	Question 115 Solve the following question: If one side of a cube is 15 m in length, then find its volume.
Answer» Question 115 Solve the following question: If one side of a cube is 15 m in length, then find its volume.

27.

Question 115 Solve the following question: If one side of a cube is 15 m in length, then find its volume.

Answer»

Question 115

Solve the following question:

If one side of a cube is 15 m in length, then find its volume.

Discussion

28.	Find the square root of 14+6√5
Answer» Find the square root of 14+6√5

Discussion

29.	a cylindrical pillar of height 7.5m and diameter 3.5m is to be painted. at the top and the bottom, 25cm of the pillar is covered by bras plate and the remaining portion is to be painted . find the area of the pillar which is to be painted
Answer» a cylindrical pillar of height 7.5m and diameter 3.5m is to be painted. at the top and the bottom, 25cm of the pillar is covered by bras plate and the remaining portion is to be painted . find the area of the pillar which is to be painted

Discussion

30.	The number of measurements required to construct a quadrilateral is ___. Choose the most appropriate answer to fill in the blank.
Answer» The number of measurements required to construct a quadrilateral is ___. Choose the most appropriate answer to fill in the blank.

30.

The number of measurements required to construct a quadrilateral is ___. Choose the most appropriate answer to fill in the blank.

Answer»

The number of measurements required to construct a quadrilateral is ___.

Choose the most appropriate answer to fill in the blank.

Discussion

31.	(4pq+3q)2 − (4pq−3q)2= ____________.
Answer» ${(4 p q + 3 q)}^{2} - {(4 p q - 3 q)}^{2} =$ ____________.

Discussion

32.	To express the number 0.00000000837 in standard form- with what number should 8.37 be devided by
Answer» To express the number 0.00000000837 in standard form- with what number should 8.37 be devided by

Discussion

33.	In parallelogram ABCD, AB = 16 cm. The altitudes corresponding to sides AB and AD are respectively 8 cm and 10 cm. Then AD is equal to
Answer» In parallelogram ABCD, AB = 16 cm. The altitudes corresponding to sides AB and AD are respectively 8 cm and 10 cm. Then AD is equal to

Discussion

34.	A field in the form of parallelogram has sides 30 m and 20 m and one of its diagonals is 40 m long. Find the area of parallelogram.
Answer» A field in the form of parallelogram has sides 30 m and 20 m and one of its diagonals is 40 m long. Find the area of parallelogram.

Discussion

35.	If the length of a rectangle is "l” and width is "b”, then the perimeter of the rectangle will be
Answer» If the length of a rectangle is "l” and width is "b”, then the perimeter of the rectangle will be

Discussion

36.	Using the given Number Line , The points A, B and C represent the Rational numbers :
Answer» Using the given Number Line , The points A, B and C represent the Rational numbers :

36.

Using the given Number Line , The points A, B and C represent the Rational numbers :

Answer»

Using the given Number Line , The points A, B and C represent the Rational numbers :

Discussion

37.	ABCD is a rectangle having length 30 cm and breadth 25 cm. P, Q, R and S are midpoints of AB, BC, CD and AD respectively. What is the area of the shaded part?
Answer» ABCD is a rectangle having length 30 cm and breadth 25 cm. P, Q, R and S are midpoints of AB, BC, CD and AD respectively. What is the area of the shaded part?

Discussion

38.	Which of the following angles cannot be constructed with a ruler and compass ?
Answer» Which of the following angles cannot be constructed with a ruler and compass ?

Discussion

39.	In the given figure, by how much should the length of DC be increased so that △ ABC ≅ △ DBC? Given that AB= 6 cm, AC= 5cm, BC= 4cm and BD= 6cm.
Answer» In the given figure, by how much should the length of DC be increased so that $△$ ABC $≅$ $△$ DBC? Given that AB= 6 cm, AC= 5cm, BC= 4cm and BD= 6cm.

39.

In the given figure, by how much should the length of DC be increased so that △ ABC ≅ △ DBC? Given that AB= 6 cm, AC= 5cm, BC= 4cm and BD= 6cm.

Answer»

In the given figure, by how much should the length of DC be increased so that $△$ ABC $≅$ $△$ DBC?

Given that AB= 6 cm, AC= 5cm, BC= 4cm and BD= 6cm.

Discussion

40.	Find the area of a rectangular plot which is 425 m long and 635 m broad
Answer» Find the area of a rectangular plot which is 4 $\frac{2}{5}$ m long and 6 $\frac{3}{5}$ m broad

Discussion

41.	Question 5 In ΔPQR and ΔMST,∠P=55∘,∠Q=25∘,∠M=100∘ and ∠S=25∘. Is ΔQPR∼ΔTSM? Why?
Answer» Question 5 In $Δ P Q R a n d Δ M S T, ∠ P = 55^{\circ}, ∠ Q = 25^{\circ}, ∠ M = 100^{\circ} a n d ∠ S = 25^{\circ} . I s Δ Q P R \sim Δ T S M$ ? Why?

Discussion

42.	Ravi walks at the uniform rate of 5 km/hr. What distance would he cover in 2 hours 24 minutes ?
Answer» Ravi walks at the uniform rate of $5 k m / h r$ . What distance would he cover in $2$ hours $24$ minutes ?

Discussion

43.	In a fraction, twice the numerator is 2 more than the denominator. If 3 is added to the numerator and to the denominator, the new fraction is 23. Find the original fraction.
Answer» In a fraction, twice the numerator is $2$ more than the denominator. If $3$ is added to the numerator and to the denominator, the new fraction is $\frac{2}{3} .$ Find the original fraction.

Discussion

44.	Question 87 (vii) Write the greatest common factor in the following terms. 3x3y2z,−6xy3z2,12x2yz3
Answer» Question 87 (vii) Write the greatest common factor in the following terms. $3 x^{3} y^{2} z, - 6 x y^{3} z^{2}, 12 x^{2} y z^{3}$

Discussion

45.	Question 91 The rational numbers can be represented on the number line.
Answer» Question 91 The rational numbers can be represented on the number line.

Discussion

46.	A cubical box with a lid has a length 30 cm. Find the cost of painting the outside and inside of the box at Rs. 2 per m. sq.
Answer» A cubical box with a lid has a length 30 cm. Find the cost of painting the outside and inside of the box at Rs. 2 per m. sq.

Discussion

47.	Compute the value of following expression 125×75
Answer» Compute the value of following expression $125 \times 75$

Discussion

48.	AB, BC and CD are three consecutive sides of a regular polygon. If angle BAC = 20o ; find : (i) its each interior angle, (ii) its each exterior angle (iii) the number of sides in the polygon.
Answer» AB, BC and CD are three consecutive sides of a regular polygon. If angle BAC = $20^{o}$ ; find : (i) its each interior angle, (ii) its each exterior angle (iii) the number of sides in the polygon.

48.

AB, BC and CD are three consecutive sides of a regular polygon. If angle BAC = 20o ; find : (i) its each interior angle, (ii) its each exterior angle (iii) the number of sides in the polygon.

Answer»

AB, BC and CD are three consecutive sides of a regular polygon. If angle BAC = $20^{o}$ ; find :

(i) its each interior angle,

(ii) its each exterior angle

(iii) the number of sides in the polygon.

Discussion

49.	The angles of a pentagon are x∘,(x−10)∘,(x+20)∘,(2x−44)∘ and (2x−70)∘, then x=___
Answer» The angles of a pentagon are $x^{\circ}, (x - 10)^{\circ}, (x + 20)^{\circ}, (2 x - 44)^{\circ}$ and $(2 x - 70)^{\circ}$ , then x=___

Discussion

50.	18 x 7 = ?126
Answer» 18 x 7 = ? 126

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Which of the following numbers can be the missing digit in the number 2344_6, if the number is divisible by 4?

Using the factorisation of xy2−xz2, evaluate the value of 6×32−6×22.

If the sides of a triangle are 4 cm, 6 cm and 6 cm, then find the height corresponding to the smallest side.

A sum of money is put at compound interest for 2 years at 20% p.a. It would fetch ₹ 241 more, if the interest were payable half-yearly, than if it were payable yearly. The sum is

(a+b)2+(a−b)2=_______

What is the total surface area of a closed hemisphere?

Express 0.00036 in the standard form

Two adjacent angles of rhombus are 3x−40∘ and 2x+20∘.Find the measurement of the greater angle.

By what least number should 648 be multiplied to get a perfect cube? (a) 3 (b) 6 (c) 9 (d) 8

√214=? (a) 212 (b) 112 (c) 114 ​​​​​​​(d) None of these

1 mm = ___ cm

Which figure is a polygon with 9 sides?

Factorise x^4+x^2 y^2+y^4

A boy covers a distance of 25km in 4h partly on foot at the rate of 3.5kmph and partly on cycle at 9kmph. Find the distance covered on foot.

Amit borrowed Rs. 16000 at 1712% per annum simple interest on the same day, he lent it to Ashu at the same rate but compounded annually. What does he gain at the end of 2 years?

What are the resultant coordinates of (x, y) when it is reflected through X axis?

Question 64(a) The following table gives the growth chart of a child. Height (in cm)7590110120130Age (in years)246810 Draw a line graph for the table and answer the question that follows. (a) What is the height at the age of 5 years?

Solve: 43÷(1−13) 2

Solve the following inequalities graphically in two dimensional plane: 2x -3y &gt; 6

Anna deposited Rs 200 per month for 36 months in a bank's recurring deposit account. If the bank pays interest at the rate of 11% per annum, what is the amount she gets on maturity (i.e. at the end of 36 months). ?

If the sum of the age of A and B is 30 years. Just after the five years A age will be three time older than B . Find thier present age.

The difference between simple interest and compound interest on ₹ 1200 for one year at 10 per annum reckoned half-yearly is ₹ ___ .

The regular polygon whose exterior angle is 40∘ is

To find the cube of a two-digit number using column method, which of the following identity is used?

Question 115 Solve the following question: If one side of a cube is 15 m in length, then find its volume.

Find the square root of 14+6√5

a cylindrical pillar of height 7.5m and diameter 3.5m is to be painted. at the top and the bottom, 25cm of the pillar is covered by bras plate and the remaining portion is to be painted . find the area of the pillar which is to be painted

The number of measurements required to construct a quadrilateral is ___. Choose the most appropriate answer to fill in the blank.

(4pq+3q)2 − (4pq−3q)2= ____________.

To express the number 0.00000000837 in standard form- with what number should 8.37 be devided by

In parallelogram ABCD, AB = 16 cm. The altitudes corresponding to sides AB and AD are respectively 8 cm and 10 cm. Then AD is equal to

A field in the form of parallelogram has sides 30 m and 20 m and one of its diagonals is 40 m long. Find the area of parallelogram.

If the length of a rectangle is "l” and width is "b”, then the perimeter of the rectangle will be

Using the given Number Line , The points A, B and C represent the Rational numbers :

ABCD is a rectangle having length 30 cm and breadth 25 cm. P, Q, R and S are midpoints of AB, BC, CD and AD respectively. What is the area of the shaded part?

Which of the following angles cannot be constructed with a ruler and compass ?

In the given figure, by how much should the length of DC be increased so that △ ABC ≅ △ DBC? Given that AB= 6 cm, AC= 5cm, BC= 4cm and BD= 6cm. ​​

Find the area of a rectangular plot which is 425 m long and 635 m broad

Question 5 In ΔPQR and ΔMST,∠P=55∘,∠Q=25∘,∠M=100∘ and ∠S=25∘. Is ΔQPR∼ΔTSM? Why?

Ravi walks at the uniform rate of 5 km/hr. What distance would he cover in 2 hours 24 minutes ?

In a fraction, twice the numerator is 2 more than the denominator. If 3 is added to the numerator and to the denominator, the new fraction is 23. Find the original fraction.

Question 87 (vii) Write the greatest common factor in the following terms. 3x3y2z,−6xy3z2,12x2yz3

Question 91 The rational numbers can be represented on the number line.

A cubical box with a lid has a length 30 cm. Find the cost of painting the outside and inside of the box at Rs. 2 per m. sq.

Compute the value of following expression 125×75

AB, BC and CD are three consecutive sides of a regular polygon. If angle BAC = 20o ; find : (i) its each interior angle, (ii) its each exterior angle (iii) the number of sides in the polygon.

The angles of a pentagon are x∘,(x−10)∘,(x+20)∘,(2x−44)∘ and (2x−70)∘, then x=___

18 x 7 = ?126

√214=? (a) 212 (b) 112 (c) 114 (d) None of these

Solve the following inequalities graphically in two dimensional plane: 2x -3y > 6

In the given figure, by how much should the length of DC be increased so that △ ABC ≅ △ DBC? Given that AB= 6 cm, AC= 5cm, BC= 4cm and BD= 6cm.