25365 + Interview Questions in Mathematics

1.	Is the multiplicative inverse of? Why or why not?
Answer» Is the multiplicative inverse of? Why or why not?

Discussion

2.	35 inches of a cardboard sheet is lost as scrap. What is the useful length in inches if the sheet is 6 meters long?
Answer» $35 inches of a cardboard sheet is lost$ $as scrap.$ $What is the useful length in inches if$ $the sheet is 6 meters long?$

Discussion

3.	Identify whether the given pattern is an arithmatic pattern or not. Answer in Yes/No.57, 62, 72, 87, 107
Answer» Identify whether the given pattern is an arithmatic pattern or not. Answer in Yes/No. 57, 62, 72, 87, 107

Discussion

4.	Express the following in exponential form:(i) 5 × 5 × 5 × 5 × 5(ii) 4 × 4 × 4 × 5 × 5 × 5(iii) (-1) × (-1) × (-1) × (-1) × (-1)(iv) a × a × a × b × c × c × c × d × d
Answer» Express the following in exponential form: (i) 5 × 5 × 5 × 5 × 5 (ii) 4 × 4 × 4 × 5 × 5 × 5 (iii) (-1) × (-1) × (-1) × (-1) × (-1) (iv) a × a × a × b × c × c × c × d × d

Discussion

5.	Let and be two lines intersecting at a point O. Let be a ray bisecting ∠BOD. Prove that the extension of to the left of O bisects ∠AOC.
Answer» Let and be two lines intersecting at a point O. Let be a ray bisecting ∠BOD. Prove that the extension of to the left of O bisects ∠AOC.

5.

Let and be two lines intersecting at a point O. Let be a ray bisecting ∠BOD. Prove that the extension of to the left of O bisects ∠AOC.

Answer»

Let and be two lines intersecting at a point O. Let be a ray bisecting ∠BOD. Prove that the extension of to the left of O bisects ∠AOC.

Discussion

6.	Ali and Cassim need to cross the forest, which is rectangular in shape, to reach the treasure cave. The forest's side lengths are (5.6×108) and (3.3×106). What is the area of the forest?
Answer» Ali and Cassim need to cross the forest, which is rectangular in shape, to reach the treasure cave. The forest's side lengths are $(5.6 \times 10^{8}) and (3.3 \times 10^{6})$ . What is the area of the forest?

Discussion

7.	Question 1The class mark of class 90 - 120 is:A) 90B) 105C) 115D) 120
Answer» Question 1 The class mark of class 90 - 120 is: A) 90 B) 105 C) 115 D) 120

Discussion

8.	Aasheesh can paint his doll in 20 minutes and his sister Chinki can do so in 25 minutes. They paint the doll together for five minutes. At this juncture they have a quarral and Chinki withdraws from painting. In how many minutes will Aasheesh finish the painting of the remaining doll?
Answer» Aasheesh can paint his doll in 20 minutes and his sister Chinki can do so in 25 minutes. They paint the doll together for five minutes. At this juncture they have a quarral and Chinki withdraws from painting. In how many minutes will Aasheesh finish the painting of the remaining doll?

Discussion

9.	Question 7 A chord of a circle of radius 12 cm subtends an angle of 120∘ at the center. Find the area of the corresponding segment of the circle. (Use π=3.14 and √3=1.73)
Answer» Question 7 A chord of a circle of radius 12 cm subtends an angle of $120^{\circ}$ at the center. Find the area of the corresponding segment of the circle. (Use $π = 3.14 a n d \sqrt{3} = 1.73)$

Discussion

10.	If the perimeter of a rectangle is 23 cm and its width is 4 cm, then find the length of the rectangle.
Answer» If the perimeter of a rectangle is 23 cm and its width is 4 cm, then find the length of the rectangle.

Discussion

11.	12. if the segment joining the points (a,b),(c,d) subtends a right angle at the origin then prove ab+cd=0
Answer» 12. if the segment joining the points (a,b),(c,d) subtends a right angle at the origin then prove ab+cd=0

Discussion

12.	Find the value of 2−4
Answer» Find the value of $2^{- 4}$

Discussion

13.	Ruth wants to buy even number of candies upto 10 and she has $25 in her pocket. If each candy costs $1.5, then which of the following is the correct mapping diagram?
Answer» Ruth wants to buy even number of candies upto 10 and she has $$ 25$ in her pocket. If each candy costs $$ 1.5$ , then which of the following is the correct mapping diagram?

Discussion

14.	Let L1 be a straight line passing through the origin and L2 be the straight line x + y = 1. If the intercepts made by the circle x2+y2−x+3y=0 on L1 and L2 are equal, then which of the following equations can represent L1
Answer» Let $L_{1}$ be a straight line passing through the origin and $L_{2}$ be the straight line x + y = 1. If the intercepts made by the circle $x^{2} + y^{2} - x + 3 y = 0$ on $L_{1}$ and $L_{2}$ are equal, then which of the following equations can represent $L_{1}$

14.

Let L1 be a straight line passing through the origin and L2 be the straight line x + y = 1. If the intercepts made by the circle x2+y2−x+3y=0 on L1 and L2 are equal, then which of the following equations can represent L1

Answer»

Let $L_{1}$ be a straight line passing through the origin and $L_{2}$ be the straight line x + y = 1. If the intercepts made by

the circle $x^{2} + y^{2} - x + 3 y = 0$ on $L_{1}$ and $L_{2}$ are equal, then which of the following equations can represent $L_{1}$

Discussion

15.	On subtracting − 5 from 0, we get(a) − 5 (b) 5 (c) 50 (d) 0
Answer» On subtracting − 5 from 0, we get (a) − 5 (b) 5 (c) 50 (d) 0

Discussion

16.	If each exterior angle of a regular polygon measures 36∘, then it has ___ sides.
Answer» If each exterior angle of a regular polygon measures $36^{\circ}$ , then it has ___ sides.

Discussion

17.	Among the numbers 2250,3200,4150 and 5100, the greatest number is
Answer» Among the numbers $2^{250}, 3^{200}, 4^{150}$ and $5^{100}$ , the greatest number is

Discussion

18.	If the ratio of angles (taken in order) of a quadrilateral is 1 : 2 : 3 : 4, then it could be a:
Answer» If the ratio of angles (taken in order) of a quadrilateral is 1 : 2 : 3 : 4, then it could be a:

Discussion

19.	A piece of equipment cost a certain factory Rs 60,000. If it depreciates in value, 15% the first, 13.5% the next year, 12% the third year, and so on. What will be its value at the end of 10 years, all percentages applying to the original cost?
Answer» A piece of equipment cost a certain factory Rs 60,000. If it depreciates in value, 15% the first, 13.5% the next year, 12% the third year, and so on. What will be its value at the end of 10 years, all percentages applying to the original cost?

Discussion

20.	What is the value of x+3y in the given figure?
Answer» What is the value of $x + 3 y$ in the given figure?

Discussion

21.	the value of (3 root 5 -5 root 2) (4 root 5+3 root 2)
Answer» the value of (3 root 5 -5 root 2) (4 root 5+3 root 2)

Discussion

22.	Which of the following is a measure of central tendency?
Answer» Which of the following is a measure of central tendency?

Discussion

23.	The sum of the digits of a two-digit number is 6 and the difference of the digits is 2. How many such numbers are there? What are they?
Answer» The sum of the digits of a two-digit number is 6 and the difference of the digits is 2. How many such numbers are there? What are they?

23.

The sum of the digits of a two-digit number is 6 and the difference of the digits is 2. How many such numbers are there? What are they?

Answer»

The sum of the digits of a two-digit number is 6 and the difference of the digits is 2. How many such numbers are there? What are they?

Discussion

24.	Find the value of (−25)7÷(−25)2.
Answer» Find the value of $(\frac{- 2}{5})^{7} \div (\frac{- 2}{5})^{2} .$

Discussion

25.	If akhil sold an article for ₹500 and gained 25% on it, find the cost price of the article
Answer» If akhil sold an article for ₹500 and gained 25% on it, find the cost price of the article

Discussion

26.	Question 1(iv) Express the following numbers in standard form: 0.00000000837
Answer» Question 1(iv) Express the following numbers in standard form: 0.00000000837

Discussion

27.	If a sequence follows the pattern 2.5n−10, then find the 10th term of the sequence.
Answer» If a sequence follows the pattern $2.5 n - 10$ , then find the $10^{t h}$ term of the sequence.

Discussion

28.	From the digits 36,37,…50, a digit is selected at random. Choosing an even number has a probability
Answer» From the digits $36, 37, \dots 50,$ a digit is selected at random. Choosing an even number has a probability

Discussion

29.	Convert into improper fractions.(i) 725(ii) 516(iii) 434(iv) 259(v) 157
Answer» Convert into improper fractions. (i) $7 \frac{2}{5}$ (ii) $5 \frac{1}{6}$ (iii) $4 \frac{3}{4}$ (iv) $2 \frac{5}{9}$ (v) $1 \frac{5}{7}$

Discussion

30.	11. Prove that any point on an angle bisector is equivalent from the arm of the angle.
Answer» 11. Prove that any point on an angle bisector is equivalent from the arm of the angle.

Discussion

31.	The following figures are congruent by ____________ congruency .
Answer» The following figures are congruent by ____________ congruency .

Discussion

32.	Question 75State whether the following statement is true or false:A number having 7 at its one's place will have 3 at the one's place of its cube.
Answer» Question 75 State whether the following statement is true or false: A number having 7 at its one's place will have 3 at the one's place of its cube.

32.

Question 75State whether the following statement is true or false:A number having 7 at its one's place will have 3 at the one's place of its cube.

Answer»

Question 75

State whether the following statement is true or false:

A number having 7 at its one's place will have 3 at the one's place of its cube.

Discussion

33.	Find the number of cubes in the following structure:
Answer» Find the number of cubes in the following structure:

Discussion

34.	A shop keeper buys an article for Rs 600 and marks 25% above the cost price. Find (i) the selling price if he sells the article at 10% discount; (ii) the percentage of discount if it is sold for Rs 960.
Answer» A shop keeper buys an article for Rs 600 and marks 25% above the cost price. Find (i) the selling price if he sells the article at 10% discount; (ii) the percentage of discount if it is sold for Rs 960.

Discussion

35.	Which of the following doesn't have any vertices or flat faces?
Answer» Which of the following doesn't have any vertices or flat faces?

Discussion

36.	What is the final value of the expression (5 +14) + (5 −14) ?10
Answer» What is the final value of the expression $(5 + \frac{1}{4}) + (5 - \frac{1}{4}) ?$ 10

Discussion

37.	Number of terms in the expression "x4 + 2x2 + 4x - 1" is
Answer» Number of terms in the expression "x⁴ + 2x² + 4x - 1" is

37.

Number of terms in the expression "x4 + 2x2 + 4x - 1" is

Answer»

Number of terms in the expression "x⁴ + 2x² + 4x - 1" is

Discussion

38.	The expression x9−x has:
Answer» The expression $x^{9} - x$ has:

Discussion

39.	Use the following figure to find the value of x.
Answer» Use the following figure to find the value of x.

39.

Use the following figure to find the value of x.

Answer»

Use the following figure to find the value of x.

Discussion

40.	Draw a line AB=6cm. Mark a point P anywhere outside the line AB. Through the point P, construct a line parallel to AB.
Answer» Draw a line AB=6cm. Mark a point P anywhere outside the line AB. Through the point P, construct a line parallel to AB.

Discussion

41.	Evaluate:(i) 6−24−2×3−2(ii) 53×32+(17)0×73
Answer» Evaluate: (i) $\frac{6^{- 2}}{4^{- 2} \times 3^{- 2}}$ (ii) $5^{3} \times 3^{2} + (17)^{0} \times 7^{3}$

Discussion

42.	The dimensions of a cuboid are 6 cm × 4 cm × 2 cm. Draw two different nets of it.
Answer» The dimensions of a cuboid are 6 cm $\times$ 4 cm $\times$ 2 cm. Draw two different nets of it.

Discussion

43.	The value of (109)2 is _______.
Answer» The value of $(109)^{2}$ is _______.

Discussion

44.	24. If the HCF of the polynomials (2x- 1)(5x^2 - ax +3)and (x- 3)(2x^2+x+ b) is (2x - 1)(x- 3), then the values of a and b respectively are (1)-16,1 (2) 16, 1 (3) 16,-1 (4) -16, -1
Answer» 24. If the HCF of the polynomials (2x- 1)(5x^2 - ax +3)and (x- 3)(2x^2+x+ b) is (2x - 1)(x- 3), then the values of a and b respectively are (1)-16,1 (2) 16, 1 (3) 16,-1 (4) -16, -1

Discussion

45.	The compound interest on ₹ 2000 for 9 months at 8% per annum being given when the interest is reckoned quarterly is
Answer» The compound interest on ₹ 2000 for 9 months at 8% per annum being given when the interest is reckoned quarterly is

Discussion

46.	(12a+5b) ³ solve using (a+b) ³ identity
Answer» (12a+5b) ³ solve using (a+b) ³ identity

Discussion

47.	If the height of a cylinder is halved and its diameter is doubled then, the new volume is the initial volume.
Answer» If the height of a cylinder is halved and its diameter is doubled then, the new volume is the initial volume.

Discussion

48.	Area of the following shape is:
Answer» Area of the following shape is:

Discussion

49.	ABCD is a rectangle, if ∠BPC=124∘Calculate: (1)∠BAP(ii) ∠ADP
Answer» $ABCD is a rectangle, if ∠ B P C = 124^{\circ}$ $Calculate: (1) ∠ B A P (ii) ∠ A D P$

Discussion

50.	Question 52 1 is the only number which is its own reciprocal.
Answer» Question 52 1 is the only number which is its own reciprocal.

50.

Question 52 1 is the only number which is its own reciprocal.

Answer»

Question 52

1 is the only number which is its own reciprocal.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Is the multiplicative inverse of? Why or why not?

35 inches of a cardboard sheet is lost as scrap. What is the useful length in inches if the sheet is 6 meters long?

Identify whether the given pattern is an arithmatic pattern or not. Answer in Yes/No.57, 62, 72, 87, 107

Express the following in exponential form:(i) 5 × 5 × 5 × 5 × 5(ii) 4 × 4 × 4 × 5 × 5 × 5(iii) (-1) × (-1) × (-1) × (-1) × (-1)(iv) a × a × a × b × c × c × c × d × d

Let and be two lines intersecting at a point O. Let be a ray bisecting ∠BOD. Prove that the extension of to the left of O bisects ∠AOC.

Ali and Cassim need to cross the forest, which is rectangular in shape, to reach the treasure cave. The forest's side lengths are (5.6×108) and (3.3×106). What is the area of the forest?

Question 1The class mark of class 90 - 120 is:A) 90B) 105C) 115D) 120

Aasheesh can paint his doll in 20 minutes and his sister Chinki can do so in 25 minutes. They paint the doll together for five minutes. At this juncture they have a quarral and Chinki withdraws from painting. In how many minutes will Aasheesh finish the painting of the remaining doll?

Question 7 A chord of a circle of radius 12 cm subtends an angle of 120∘ at the center. Find the area of the corresponding segment of the circle. (Use π=3.14 and √3=1.73)

If the perimeter of a rectangle is 23 cm and its width is 4 cm, then find the length of the rectangle.

12. if the segment joining the points (a,b),(c,d) subtends a right angle at the origin then prove ab+cd=0

Find the value of 2−4

Ruth wants to buy even number of candies upto 10 and she has $25 in her pocket. If each candy costs $1.5, then which of the following is the correct mapping diagram?

Let L1 be a straight line passing through the origin and L2 be the straight line x + y = 1. If the intercepts made by the circle x2+y2−x+3y=0 on L1 and L2 are equal, then which of the following equations can represent L1

On subtracting − 5 from 0, we get(a) − 5 (b) 5 (c) 50 (d) 0

If each exterior angle of a regular polygon measures 36∘, then it has ___ sides.

Among the numbers 2250,3200,4150 and 5100, the greatest number is

If the ratio of angles (taken in order) of a quadrilateral is 1 : 2 : 3 : 4, then it could be a:

A piece of equipment cost a certain factory Rs 60,000. If it depreciates in value, 15% the first, 13.5% the next year, 12% the third year, and so on. What will be its value at the end of 10 years, all percentages applying to the original cost?

What is the value of x+3y in the given figure?

the value of (3 root 5 -5 root 2) (4 root 5+3 root 2)

Which of the following is a measure of central tendency?

The sum of the digits of a two-digit number is 6 and the difference of the digits is 2. How many such numbers are there? What are they?

Find the value of (−25)7÷(−25)2.

If akhil sold an article for ₹500 and gained 25% on it, find the cost price of the article

Question 1(iv) Express the following numbers in standard form: 0.00000000837

If a sequence follows the pattern 2.5n−10, then find the 10th term of the sequence.

From the digits 36,37,…50, a digit is selected at random. Choosing an even number has a probability

Convert into improper fractions.(i) 725(ii) 516(iii) 434(iv) 259(v) 157

11. Prove that any point on an angle bisector is equivalent from the arm of the angle.

The following figures are congruent by ____________ congruency .

Question 75State whether the following statement is true or false:A number having 7 at its one's place will have 3 at the one's place of its cube.

Find the number of cubes in the following structure:

A shop keeper buys an article for Rs 600 and marks 25% above the cost price. Find (i) the selling price if he sells the article at 10% discount; (ii) the percentage of discount if it is sold for Rs 960.

Which of the following doesn't have any vertices or flat faces?

What is the final value of the expression (5 +14) + (5 −14) ?10

Number of terms in the expression "x4 + 2x2 + 4x - 1" is

The expression x9−x has:

Use the following figure to find the value of x.

Draw a line AB=6cm. Mark a point P anywhere outside the line AB. Through the point P, construct a line parallel to AB.

Evaluate:(i) 6−24−2×3−2(ii) 53×32+(17)0×73

The dimensions of a cuboid are 6 cm × 4 cm × 2 cm. Draw two different nets of it.

The value of (109)2 is _______.

24. If the HCF of the polynomials (2x- 1)(5x^2 - ax +3)and (x- 3)(2x^2+x+ b) is (2x - 1)(x- 3), then the values of a and b respectively are (1)-16,1 (2) 16, 1 (3) 16,-1 (4) -16, -1

The compound interest on ₹ 2000 for 9 months at 8% per annum being given when the interest is reckoned quarterly is

(12a+5b) ³ solve using (a+b) ³ identity

If the height of a cylinder is halved and its diameter is doubled then, the new volume is the initial volume.

Area of the following shape is:

ABCD is a rectangle, if ∠BPC=124∘Calculate: (1)∠BAP(ii) ∠ADP

Question 52 1 is the only number which is its own reciprocal.