25365 + Interview Questions in Mathematics

1.	In parallelogram PQRS, ∠Q=(4x−5)∘ and∠S=(3x+10)∘.Calculate : ∠Q and ∠R.
Answer» $In parallelogram PQRS, ∠ Q = (4 x - 5)^{\circ} a n d ∠ S = (3 x + 10)^{\circ} . Calculate : ∠ Q a n d ∠ R .$

Discussion

2.	The points A (1, 1), B (-1, 1) and the origin form the vertices of
Answer» The points A (1, 1), B (-1, 1) and the origin form the vertices of

Discussion

3.	The rent of flats in a colony is ₹9000. A broker gets a commission of 9% on the rent. The number of flats rented for a month is 16. what is the total commission earned by the broker?
Answer» The rent of flats in a colony is ₹9000. A broker gets a commission of 9% on the rent. The number of flats rented for a month is 16. what is the total commission earned by the broker?

Discussion

4.	Question 5Find and correct the erros in the statement: 5y+2y+y−7y=0
Answer» Question 5 Find and correct the erros in the statement: $5 y + 2 y + y - 7 y = 0$

Discussion

5.	Which of the following has(have) the same value as 7! ?
Answer» Which of the following has(have) the same value as $7! ?$

Discussion

6.	resul†an t of vector a and bector b is perpendicular to a.what is angle between a and b
Answer» resul†an t of vector a and bector b is perpendicular to a.what is angle between a and b

Discussion

7.	Question 4I borrowed Rs 12,000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay?
Answer» Question 4 I borrowed Rs 12,000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay?

Discussion

8.	The number of whole numbers and integers between -2 and 3 are ___and ___ respectively.
Answer» The number of whole numbers and integers between -2 and 3 are ___and ___ respectively.

Discussion

9.	A standing pole of length 20 m casts a shadow of length 30 m. Find the height of a tower if the shadow cast by the tower is 1,260 m long.
Answer» A standing pole of length 20 m casts a shadow of length 30 m. Find the height of a tower if the shadow cast by the tower is 1,260 m long.

Discussion

10.	Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.
Answer» Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.

Discussion

11.	A playground has the shape of a rectangle,with two semi-circles on its smaller sides as diameters,added to its outside.If the sides of the rectangle are 36 m and 24.5 m,find the area of the playground.Take π=227
Answer» A playground has the shape of a rectangle,with two semi-circles on its smaller sides as diameters,added to its outside.If the sides of the rectangle are 36 m and 24.5 m,find the area of the playground. $T a k e π = \frac{22}{7}$

Discussion

12.	In a party my friends start eating a round piece of pizza. They eat in such a way that after each time they have pizza the quantity of pizza reduces by half. What type of decrease is this?
Answer» In a party my friends start eating a round piece of pizza. They eat in such a way that after each time they have pizza the quantity of pizza reduces by half. What type of decrease is this?

Discussion

13.	Observe the Venn diagram and write the given setsU, A, B, A ∪ B, A ∩ B
Answer» Observe the Venn diagram and write the given sets U, A, B, A $\cup$ B, A $\cap$ B

Discussion

14.	AB×ABAAA=___;B=___
Answer» $\begin{matrix} A B \times A B A A \end{matrix}$ A=___;B=___

Discussion

15.	Two sides of a triangle are 7 cm and 10 cm. Which of the following length can be the length of the third side?
Answer» Two sides of a triangle are 7 cm and 10 cm. Which of the following length can be the length of the third side?

Discussion

16.	Question 96State whether the statements are True or False.All rhombuses are squares.
Answer» Question 96 State whether the statements are True or False. All rhombuses are squares.

Discussion

17.	If 25(x−1)=5(2x−1)−100 then find the value of x.
Answer» If $25^{(x - 1)} = 5^{(2 x - 1)} - 100$ then find the value of x.

Discussion

18.	In ΔRST (See figure), what is the value of x?(a) 40(b) 90°(c) 80°(d) 100
Answer» In ΔRST (See figure), what is the value of x? (a) 40 (b) 90° (c) 80° (d) 100

Discussion

19.	If you subtract one upon two from a number and multiply the result by one upon two you get one upon it was what is the number
Answer» If you subtract one upon two from a number and multiply the result by one upon two you get one upon it was what is the number

Discussion

20.	(a+b)^2x^2-4abx-(a-b)^2=0
Answer» (a+b)^2x^2-4abx-(a-b)^2=0

Discussion

21.	Give an example of a hemisphere surmounted on a cone and also draw its image.
Answer» Give an example of a hemisphere surmounted on a cone and also draw its image.

Discussion

22.	If the compound interest earned on ₹30,000 at 7% per annum is ₹4,347, then find the time period (in years).
Answer» If the compound interest earned on ₹30,000 at 7% per annum is ₹4,347, then find the time period (in years).

Discussion

23.	A mixture of 70 litres of juice and water contains 10% of water. How much water must be added to make the water content 12.5% of the resulting mixture?
Answer» A mixture of 70 litres of juice and water contains $10 %$ of water. How much water must be added to make the water content $12.5 %$ of the resulting mixture?

Discussion

24.	34. Define the relation H = U + ngRT
Answer» 34. Define the relation H = U + ngRT

Discussion

25.	In a random experiment with sample space S, two events A and B are said to be equally likely, if
Answer» In a random experiment with sample space $S,$ two events $A$ and $B$ are said to be equally likely, if

Discussion

26.	A chord of length 14 units subtends a ∠120∘ in a circle with radius r=9 units. What is the perimeter of the segment?
Answer» A chord of length $14$ units subtends a $∠ 120^{\circ}$ in a circle with radius $r = 9$ units. What is the perimeter of the segment?

Discussion

27.	The largest coefficient in (1 + x)41 is ___________.
Answer» The largest coefficient in (1 + x)⁴¹ is ___________.

Discussion

28.	What is the value of the given expression?[[3×{(−5)×(−4)}]÷{27+(−13−4)}]+[{27×(−2)}÷(−3−3)]+[{(−3)×(−3)×5}÷(−3)]]
Answer» What is the value of the given expression? $[[3 \times {(- 5) \times (- 4)}] \div {27 + (- 13 - 4)}]$ $+ [{27 \times (- 2)} \div (- 3 - 3)]$ $+ [{(- 3) \times (- 3) \times 5} \div (- 3)]]$

Discussion

29.	Question 07.A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?
Answer» Question 07. A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?

Discussion

30.	Give the formula to find the total surface area of a cuboid.
Answer» Give the formula to find the total surface area of a cuboid.

Discussion

31.	9. If 2 vertices of an equilateral triangle are (3,0) and (6,0) then find its 3rd vertex.
Answer» 9. If 2 vertices of an equilateral triangle are (3,0) and (6,0) then find its 3rd vertex.

Discussion

32.	A father wants to divide 1800 rupees among his sons in the ratio of their ages. One of his sons is 12 years old while the other is 15 years old. Their respective shares would be:
Answer» A father wants to divide 1800 rupees among his sons in the ratio of their ages. One of his sons is 12 years old while the other is 15 years old. Their respective shares would be:

Discussion

33.	The density of a gas A is four times that of gas Bat the same temperature. Molar mass of gas A ishalf of gas B. The ratio of the pressure acting onA and B will be
Answer» The density of a gas A is four times that of gas Bat the same temperature. Molar mass of gas A ishalf of gas B. The ratio of the pressure acting onA and B will be

Discussion

34.	A graph showing two sets of data simultaneously (using bars) is known as ______.
Answer» A graph showing two sets of data simultaneously (using bars) is known as ______.

Discussion

35.	Question 134 From a rope 40m long, pieces of equal size are cut. If the length of one piece is 103m, find the number of such pieces.
Answer» Question 134 From a rope 40m long, pieces of equal size are cut. If the length of one piece is $\frac{10}{3} m$ , find the number of such pieces.

Discussion

36.	Below given is the pulse count of 40 patients.66, 79, 89, 67, 72, 82, 85, 80, 82, 81, 67, 87, 71, 68, 63, 74, 73, 86, 84, 75, 85, 80, 85, 61, 75, 85, 80, 85, 61, 75, 68, 69, 64, 75, 73, 72, 82, 76, 74, 77.Group the data first in discontinuous class intervals such that one of the class intervals is 70-74.Next, group the data in continuous class intervals such that one of the class intervals is 85-90.Find the second class interval and the corresponding frequency of the class for both the groupings of the data.
Answer» Below given is the pulse count of 40 patients. 66, 79, 89, 67, 72, 82, 85, 80, 82, 81, 67, 87, 71, 68, 63, 74, 73, 86, 84, 75, 85, 80, 85, 61, 75, 85, 80, 85, 61, 75, 68, 69, 64, 75, 73, 72, 82, 76, 74, 77. Group the data first in discontinuous class intervals such that one of the class intervals is 70-74. Next, group the data in continuous class intervals such that one of the class intervals is 85-90. Find the second class interval and the corresponding frequency of the class for both the groupings of the data.

Discussion

37.	Findthe side of a cube whose surface area is 600 cm2.
Answer» Find the side of a cube whose surface area is 600 cm².

Discussion

38.	If an isosceles triangle has a perimeter of 18 cm and base 8 cm, then its area is ___ .
Answer» If an isosceles triangle has a perimeter of $18 c m$ and base $8 c m$ , then its area is ___ .

Discussion

39.	Question 85(ii)The pie chart given below shows the result of a survey carried out to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow.What fraction of children travel by car ?
Answer» Question 85(ii) The pie chart given below shows the result of a survey carried out to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow. What fraction of children travel by car ?

39.

Question 85(ii)The pie chart given below shows the result of a survey carried out to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow.What fraction of children travel by car ?

Answer»

Question 85(ii)

The pie chart given below shows the result of a survey carried out to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow.

What fraction of children travel by car ?

Discussion

40.	Which of the following is quadrilateral?
Answer» Which of the following is quadrilateral?

Discussion

41.	30. parallelogram ABCD and parallelogram PQCD are 2 parallelograms having same base CD and lying between same parallel lines AQ and CD prove that : area(parallelogram ABCD)=area(parallelogram PQCD)
Answer» 30. parallelogram ABCD and parallelogram PQCD are 2 parallelograms having same base CD and lying between same parallel lines AQ and CD prove that : area(parallelogram ABCD)=area(parallelogram PQCD)

Discussion

42.	Factorize x^2-pxy+qy^2, if x^2-px+q = (x-a)(x-b).
Answer» Factorize x^2-pxy+qy^2, if x^2-px+q = (x-a)(x-b).

Discussion

43.	(x+1)(x^2-7x+10)+0Why 0 is written at last?
Answer» (x+1)(x^2-7x+10)+0 Why 0 is written at last?

Discussion

44.	Find the number of faces, vertices and edges in each of these polyhedral solids and verify Euler’s formula.(a) (b)(c)(d) (e)(f) (g) (h)
Answer» Find the number of faces, vertices and edges in each of these polyhedral solids and verify Euler’s formula. (a) (b) (c) (d) (e) (f) (g) (h)

44.

Find the number of faces, vertices and edges in each of these polyhedral solids and verify Euler’s formula.(a) (b)(c)(d) (e)(f) (g) (h)

Answer»

Find the number of faces, vertices and edges in each of these polyhedral solids and verify Euler’s formula.

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

Discussion

45.	55 × 55 = 2500 + 2 × 5 × 50 + ________.
Answer» 55 × 55 = 2500 + 2 × 5 × 50 + ________.

Discussion

46.	Dice are cubes where the sum of the numbers on the opposite faces is 7. Find the missing numbers a, b and c.
Answer» Dice are cubes where the sum of the numbers on the opposite faces is 7. Find the missing numbers a, b and c.

46.

Dice are cubes where the sum of the numbers on the opposite faces is 7. Find the missing numbers a, b and c.

Answer»

Dice are cubes where the sum of the numbers on the opposite faces is 7. Find the missing numbers a, b and c.

Discussion

47.	Question 9If the mean of the following data is 20.2, then find the value of p.x1015202530f68p106
Answer» Question 9 If the mean of the following data is 20.2, then find the value of p. $\begin{matrix} x & 10 & 15 & 20 & 25 & 30 f & 6 & 8 & p & 10 & 6 \end{matrix}$

Discussion

48.	the sum of all edges of a cuboid is 48 cm and the total surface area is 98 cm^2. the sum of squares of its length, breadth and height is equal to(1)16 cm^2(2)50 cm^2(3)25 cm^2(4)60 cm^2correct option is
Answer» the sum of all edges of a cuboid is 48 cm and the total surface area is 98 cm^2. the sum of squares of its length, breadth and height is equal to (1)16 cm^2 (2)50 cm^2 (3)25 cm^2 (4)60 cm^2 correct option is

Discussion

49.	38. Convert 7.127 into a rational number by using long form ( do not use short-cut method)
Answer» 38. Convert 7.127 into a rational number by using long form ( do not use short-cut method)

Discussion

50.	The vertices of a triangle are (0, 0), (2, 0) and (0, 2) find distance between its orthocentre and circumcentre? (A) 2 (B) 1 2 (C) 2 (D) 1 2
Answer» The vertices of a triangle are (0, 0), (2, 0) and (0, 2) find distance between its orthocentre and circumcentre? (A) 2 (B) 1 2 (C) 2 (D) 1 2

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

In parallelogram PQRS, ∠Q=(4x−5)∘ and∠S=(3x+10)∘.Calculate : ∠Q and ∠R.

The points A (1, 1), B (-1, 1) and the origin form the vertices of

The rent of flats in a colony is ₹9000. A broker gets a commission of 9% on the rent. The number of flats rented for a month is 16. what is the total commission earned by the broker?

Question 5Find and correct the erros in the statement: 5y+2y+y−7y=0

Which of the following has(have) the same value as 7! ?

resul†an t of vector a and bector b is perpendicular to a.what is angle between a and b

Question 4I borrowed Rs 12,000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay?

The number of whole numbers and integers between -2 and 3 are ___and ___ respectively.

A standing pole of length 20 m casts a shadow of length 30 m. Find the height of a tower if the shadow cast by the tower is 1,260 m long.

Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.

A playground has the shape of a rectangle,with two semi-circles on its smaller sides as diameters,added to its outside.If the sides of the rectangle are 36 m and 24.5 m,find the area of the playground.Take π=227

In a party my friends start eating a round piece of pizza. They eat in such a way that after each time they have pizza the quantity of pizza reduces by half. What type of decrease is this?

Observe the Venn diagram and write the given setsU, A, B, A ∪ B, A ∩ B

AB×ABAAA=___;B=___

Two sides of a triangle are 7 cm and 10 cm. Which of the following length can be the length of the third side?

Question 96State whether the statements are True or False.All rhombuses are squares.

If 25(x−1)=5(2x−1)−100 then find the value of x.

In ΔRST (See figure), what is the value of x?(a) 40(b) 90°(c) 80°(d) 100

If you subtract one upon two from a number and multiply the result by one upon two you get one upon it was what is the number

(a+b)^2x^2-4abx-(a-b)^2=0

Give an example of a hemisphere surmounted on a cone and also draw its image.

If the compound interest earned on ₹30,000 at 7% per annum is ₹4,347, then find the time period (in years).

A mixture of 70 litres of juice and water contains 10% of water. How much water must be added to make the water content 12.5% of the resulting mixture?

34. Define the relation H = U + ngRT

In a random experiment with sample space S, two events A and B are said to be equally likely, if

A chord of length 14 units subtends a ∠120∘ in a circle with radius r=9 units. What is the perimeter of the segment?

The largest coefficient in (1 + x)41 is ___________.

What is the value of the given expression?[[3×{(−5)×(−4)}]÷{27+(−13−4)}]+[{27×(−2)}÷(−3−3)]+[{(−3)×(−3)×5}÷(−3)]]

Question 07.A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?

Give the formula to find the total surface area of a cuboid.

9. If 2 vertices of an equilateral triangle are (3,0) and (6,0) then find its 3rd vertex.

A father wants to divide 1800 rupees among his sons in the ratio of their ages. One of his sons is 12 years old while the other is 15 years old. Their respective shares would be:

The density of a gas A is four times that of gas Bat the same temperature. Molar mass of gas A ishalf of gas B. The ratio of the pressure acting onA and B will be

A graph showing two sets of data simultaneously (using bars) is known as ______.

Question 134 From a rope 40m long, pieces of equal size are cut. If the length of one piece is 103m, find the number of such pieces.

Findthe side of a cube whose surface area is 600 cm2.

If an isosceles triangle has a perimeter of 18 cm and base 8 cm, then its area is ___ .

Question 85(ii)The pie chart given below shows the result of a survey carried out to find the modes of travel used by the children to go school. Study the pie chart and answer the questions that follow.What fraction of children travel by car ?

Which of the following is quadrilateral?

30. parallelogram ABCD and parallelogram PQCD are 2 parallelograms having same base CD and lying between same parallel lines AQ and CD prove that : area(parallelogram ABCD)=area(parallelogram PQCD)

Factorize x^2-pxy+qy^2, if x^2-px+q = (x-a)(x-b).

(x+1)(x^2-7x+10)+0Why 0 is written at last?

Find the number of faces, vertices and edges in each of these polyhedral solids and verify Euler’s formula.(a) (b)(c)(d) (e)(f) (g) (h)

55 × 55 = 2500 + 2 × 5 × 50 + ________.

Dice are cubes where the sum of the numbers on the opposite faces is 7. Find the missing numbers a, b and c.

Question 9If the mean of the following data is 20.2, then find the value of p.x1015202530f68p106

the sum of all edges of a cuboid is 48 cm and the total surface area is 98 cm^2. the sum of squares of its length, breadth and height is equal to(1)16 cm^2(2)50 cm^2(3)25 cm^2(4)60 cm^2correct option is

38. Convert 7.127 into a rational number by using long form ( do not use short-cut method)

The vertices of a triangle are (0, 0), (2, 0) and (0, 2) find distance between its orthocentre and circumcentre? (A) 2 (B) 1 2 (C) 2 (D) 1 2

The number of whole numbers and integers between -2 and 3 are _and _ respectively.

AB×ABAAA=_;B=_