32581 + Interview Questions in Mathematics

1.	Sum of the first 14 terms of an AP is 1505 and its first term is 10. Find its 25th term. [CBSE 2012]
Answer» Sum of the first 14 terms of an AP is 1505 and its first term is 10. Find its 25th term. [CBSE 2012]

Discussion

2.	Jayanti travels from A to B, either by walking the straight path AB or walking the zig-zag path. The straight path AB is 200 m long. The zig-zag path forms two equilateral triangles with the straight line path. What will be the length of the zig-zag path?
Answer» Jayanti travels from A to B, either by walking the straight path AB or walking the zig-zag path. The straight path AB is 200 m long. The zig-zag path forms two equilateral triangles with the straight line path. What will be the length of the zig-zag path?

Discussion

3.	In a tomato race, a bucket is placed at the starting point, which is 10 meters from the first tomato, and the other tomatoes are placed 5 meters apart in a straight line. There are nine tomatoes in the line. A competitor starts from the bucket, picks up the nearest tomato, runs back with it, drops it in the bucket and then runs back to pick up the next tomato and runs towards the bucket to drop it in, and he continues in the same way until all the tomatoes are in the bucket. What is the total distance the competitor has to run?
Answer» In a tomato race, a bucket is placed at the starting point, which is 10 meters from the first tomato, and the other tomatoes are placed 5 meters apart in a straight line. There are nine tomatoes in the line. A competitor starts from the bucket, picks up the nearest tomato, runs back with it, drops it in the bucket and then runs back to pick up the next tomato and runs towards the bucket to drop it in, and he continues in the same way until all the tomatoes are in the bucket. What is the total distance the competitor has to run?

Discussion

4.	Fill In the Blanks The mean and mode of a data are 24 and 12 respectively, then median of the data is ___________.
Answer» Fill In the Blanks The mean and mode of a data are 24 and 12 respectively, then median of the data is ___________.

Discussion

5.	How to prove that √2 is irrational
Answer» How to prove that $\sqrt{2}$ is irrational

Discussion

6.	Solve the following system of linear equations graphically: 3x – 5y = 19 3y – 7x +1 = 0 Does the coordinate (4, 9) lie on any of these lines? If yes, which of them?
Answer» Solve the following system of linear equations graphically: 3x – 5y = 19 3y – 7x +1 = 0 Does the coordinate (4, 9) lie on any of these lines? If yes, which of them?

6.

Solve the following system of linear equations graphically: 3x – 5y = 19 3y – 7x +1 = 0 Does the coordinate (4, 9) lie on any of these lines? If yes, which of them?

Answer»

Solve the following system of linear equations graphically:

3x – 5y = 19

3y – 7x +1 = 0

Does the coordinate (4, 9) lie on any of these lines? If yes, which of them?

Discussion

7.	The solution of √x4+16 = x2 – 4 is
Answer» The solution of $\sqrt{x^{4} + 16}$ = $x^{2}$ – 4 is

Discussion

8.	Reframe x=-7 in standard form.
Answer» Reframe x=-7 in standard form.

Discussion

9.	Find the coordinates of the centroid of a triangle whose vertices are (0, 6), (8, 12) and (8, 0).
Answer» Find the coordinates of the centroid of a triangle whose vertices are (0, 6), (8, 12) and (8, 0).

Discussion

10.	If the HCF of 144 and 180 is expressed in form of 13p - 3 find value of p
Answer» If the HCF of 144 and 180 is expressed in form of 13p - 3 find value of p

Discussion

11.	A family has 2 children. What is the probability that both are girls?
Answer» A family has 2 children. What is the probability that both are girls?

Discussion

12.	Any number in which remainder is greater than divisor
Answer» Any number in which remainder is greater than divisor

Discussion

13.	Which of the equations have x = -3 , y = 2 as solutions?
Answer» Which of the equations have x = -3 , y = 2 as solutions?

Discussion

14.	Mr. Singh get Rs. 6455 at the end of one year at the rate of 14% per annum in a Reccuring deposit account. The monthly installment is ___.
Answer» Mr. Singh get Rs. 6455 at the end of one year at the rate of 14% per annum in a Reccuring deposit account. The monthly installment is ___.

Discussion

15.	If cot A=125, then the value of (sin A+cos A)×cosec A is
Answer» If $cot A = \frac{12}{5}$ , then the value of $(sin A + cos A) \times c o s e c A$ is

Discussion

16.	Consider the following events: E1: Six fair dice are rolled and at least one die shows six. E2: Twelve fair dice are rolled and at least two dice show six. Let p1 be the probability of E1 and p2 be the probability of E2. Which of the following is true?
Answer» Consider the following events: $E_{1} :$ Six fair dice are rolled and at least one die shows six. $E_{2} :$ Twelve fair dice are rolled and at least two dice show six. Let $p_{1}$ be the probability of $E_{1}$ and $p_{2}$ be the probability of $E_{2} .$ Which of the following is true?

Discussion

17.	Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q.
Answer» Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q.

Discussion

18.	The data obtained from the register with a security guard regarding the number of people present at different times of the day will be classified under
Answer» The data obtained from the register with a security guard regarding the number of people present at different times of the day will be classified under

Discussion

19.	AB is a chord of a circle with centre O and radius 4 cm. AB is of length 4 cm. Find the area of the sector of the circle formed by chord AB.
Answer» AB is a chord of a circle with centre O and radius 4 cm. AB is of length 4 cm. Find the area of the sector of the circle formed by chord AB.

Discussion

20.	A man invests Rs 12,500 partly in shares of face value Rs 100 each paying 6% at Rs 140 and the remaining in shares paying 5% at Rs 125. If his total income is Rs 520, how much has he invested in each? [4 MARKS]
Answer» A man invests Rs 12,500 partly in shares of face value Rs 100 each paying $6 %$ at Rs 140 and the remaining in shares paying $5 %$ at Rs 125. If his total income is Rs 520, how much has he invested in each? [4 MARKS]

Discussion

21.	Find the value of tan35°tan40°tan45°tan50°tan55°
Answer» Find the value of tan35°tan40°tan45°tan50°tan55°

Discussion

22.	Can we get the value of F1 and F2 in points in statistics chapter using any formula
Answer» Can we get the value of F1 and F2 in points in statistics chapter using any formula

Discussion

23.	Show that any positive odd integer is of the form (4m + 1) or (4m + 3), where m is some integer.
Answer» Show that any positive odd integer is of the form (4m + 1) or (4m + 3), where m is some integer.

Discussion

24.	(ma+nb):b::(mc+nd):d, prove a,b,c,d are in proportion by using componendo and dividendo
Answer» (ma+nb):b::(mc+nd):d, prove a,b,c,d are in proportion by using componendo and dividendo

Discussion

25.	The value of k if (2, 3) lies on 2x=3y-k
Answer» The value of k if (2, 3) lies on 2x=3y-k

Discussion

26.	Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
Answer» Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40 $%$ , 50 $%$ and 75 $%$ respectively. What will be the ratio of increased seats?

Discussion

27.	Find the slope of equation of the straight line passing through origin and the point of intersection of the lines x+2y=7 and x–y=4.0.2
Answer» Find the slope of equation of the straight line passing through origin and the point of intersection of the lines $x + 2 y = 7 a n d x - y = 4$ . 0.2

Discussion

28.	A 6 feet tall man sees an apple on the ground, 6√3 feet away from him. What is the angle of depression when he is looking at the apple?
Answer» A 6 feet tall man sees an apple on the ground, $6 \sqrt{3}$ feet away from him. What is the angle of depression when he is looking at the apple?

Discussion

29.	A hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl.
Answer» A hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl.

Discussion

30.	A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that (i) all will be blue? (ii) atleast one will be green?
Answer» A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that (i) all will be blue? (ii) atleast one will be green?

Discussion

31.	The sum of the first 100 natural numbers is greater than the sum of the even numbers between 1 and 100 (included) by _____.
Answer» The sum of the first 100 natural numbers is greater than the sum of the even numbers between 1 and 100 (included) by _____.

Discussion

32.	Six years hence a man’s age will be three times the age of his son and three years ago he was nine times as old as his son. Find their present ages.
Answer» Six years hence a man’s age will be three times the age of his son and three years ago he was nine times as old as his son. Find their present ages.

Discussion

33.	Ritu has Recurring Deposit Account in a bank and deposits Rs 80 per month for 18 months. Find the rate of interest paid by the bank if the maturity value of this account is Rs 1,554.
Answer» Ritu has Recurring Deposit Account in a bank and deposits Rs 80 per month for 18 months. Find the rate of interest paid by the bank if the maturity value of this account is Rs 1,554.

Discussion

34.	Surface area of a sphere A is 300% more that the surface area of another sphere B. If the volume of sphere is p% less than the volume of sphere A. Find the value of P.
Answer» Surface area of a sphere A is $300 %$ more that the surface area of another sphere B. If the volume of sphere is $p %$ less than the volume of sphere A. Find the value of P.

Discussion

35.	In a circle of radius 14 cm, an arc subtends an angle of 120∘ at the centre. If √3 = 1.73 then the area of the segment of the circle is (a) 120.56cm2 (b) 124.63cm2 (c) 118.24cm2 (d) 130.57cm2
Answer» In a circle of radius 14 cm, an arc subtends an angle of $120^{\circ}$ at the centre. If $\sqrt{3}$ = 1.73 then the area of the segment of the circle is (a) $120.56 c m^{2}$ (b) $124.63 c m^{2}$ (c) $118.24 c m^{2}$ (d) $130.57 c m^{2}$

35.

In a circle of radius 14 cm, an arc subtends an angle of 120∘ at the centre. If √3 = 1.73 then the area of the segment of the circle is (a) 120.56cm2 (b) 124.63cm2 (c) 118.24cm2 (d) 130.57cm2

Answer»

In a circle of radius 14 cm, an arc subtends an angle of $120^{\circ}$ at the centre. If $\sqrt{3}$ = 1.73 then the area of the segment of the circle is

(a) $120.56 c m^{2}$ (b) $124.63 c m^{2}$ (c) $118.24 c m^{2}$ (d) $130.57 c m^{2}$

Discussion

36.	2tan30/1+tan^2 30
Answer» 2tan30/1+tan^2 30

Discussion

37.	The 7th term of an AP is -4 and its 13th term is - 16. Find the AP.
Answer» The 7th term of an AP is -4 and its 13th term is - 16. Find the AP.

Discussion

38.	What is Algorithm
Answer» What is Algorithm

Discussion

39.	In an A.P., the first term is 8, nth term is -33 and the sum to first n terms is 123. Find n and d, the common difference.
Answer» In an A.P., the first term is 8, nth term is -33 and the sum to first n terms is 123. Find n and d, the common difference.

Discussion

40.	In fig., OP is equal to diameter of the circle. Prove that ΔABP is an equilateral triangle.
Answer» In fig., OP is equal to diameter of the circle. Prove that ΔABP is an equilateral triangle.

40.

In fig., OP is equal to diameter of the circle. Prove that ΔABP is an equilateral triangle.

Answer»

In fig., OP is equal to diameter of the circle. Prove that ΔABP is an equilateral triangle.

Discussion

41.	The printed price of an article is Rs 60,000. The wholesaler allows a discount of 20% to the shopkeeper. The shopkeeper sells the article to the customer at the printed price. Sales tax (under VAT) is charged at the rate of 6% at every stage. Find : (i) The cost to the shopkeeper inclusive of tax. (ii) VAT paid by the shopkeeper to the Government. (iii) The cost to the customer inclusive of tax [3 MARKS]
Answer» The printed price of an article is Rs 60,000. The wholesaler allows a discount of $20 %$ to the shopkeeper. The shopkeeper sells the article to the customer at the printed price. Sales tax (under VAT) is charged at the rate of $6 %$ at every stage. Find : (i) The cost to the shopkeeper inclusive of tax. (ii) VAT paid by the shopkeeper to the Government. (iii) The cost to the customer inclusive of tax [3 MARKS]

Discussion

42.	Through any given set of four distinct points P, Q, R and S, it is possible to draw at most ___circle(s).
Answer» Through any given set of four distinct points P, Q, R and S, it is possible to draw at most ___circle(s).

Discussion

43.	Solve the following inequalities graphically in two dimensional plane: 2x+y≥6
Answer» Solve the following inequalities graphically in two dimensional plane: $2 x + y \geq 6$

43.

Solve the following inequalities graphically in two dimensional plane: 2x+y≥6

Answer»

Solve the following inequalities graphically in two dimensional plane:

$2 x + y \geq 6$

Discussion

44.	A shopkeeper sells an article at the listed price of Rs 1,500 and the rate of VAT is 12% at each stage of sale. If the shopkeeper pays a VAT of Rs 36 to the government, what was the price, inclusive of tax, at which the shopkeeper purchased the article from the wholesaler? [3 MARKS]
Answer» A shopkeeper sells an article at the listed price of Rs 1,500 and the rate of VAT is 12% at each stage of sale. If the shopkeeper pays a VAT of Rs 36 to the government, what was the price, inclusive of tax, at which the shopkeeper purchased the article from the wholesaler? [3 MARKS]

Discussion

45.	Four years ago , rahim's age was three times Ramu's age .after two years ,it would be just double . What are their ages now?
Answer» Four years ago , rahim's age was three times Ramu's age .after two years ,it would be just double . What are their ages now?

Discussion

46.	What is the shape of the graph of a odd powered polynomial (like x3,x5) called?
Answer» What is the shape of the graph of a odd powered polynomial (like x³,x⁵) called?

Discussion

47.	Use the given figure to find ∠ DQB
Answer» Use the given figure to find $∠ D Q B$

47.

Use the given figure to find ∠ DQB

Answer»

Use the given figure to find $∠ D Q B$

Discussion

48.	Tan3 A/ 1+tan2A + cot3A / 1+ cot2A = secA cosecA - 2sinA cosA
Answer» Tan³ A/ 1+tan²A + cot³A / 1+ cot²A = secA cosecA - 2sinA cosA

Discussion

49.	Find 4 terms in GP whise product of first three terms is 8 and the sum of last three terms is 14
Answer» Find 4 terms in GP whise product of first three terms is 8 and the sum of last three terms is 14

Discussion

50.	In the given figure, PQ is a diameter of the circle whose centre is O. Given ∠ ROS=42∘, ∠ RTS = ____________
Answer» In the given figure, PQ is a diameter of the circle whose centre is O. Given $∠ R O S = 42^{\circ}$ , $∠ R T S$ = ____________

50.

In the given figure, PQ is a diameter of the circle whose centre is O. Given ∠ ROS=42∘, ∠ RTS = ____________

Answer»

In the given figure, PQ is a diameter of the circle whose centre is O. Given $∠ R O S = 42^{\circ}$ , $∠ R T S$ = ____________

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Sum of the first 14 terms of an AP is 1505 and its first term is 10. Find its 25th term. [CBSE 2012]

Jayanti travels from A to B, either by walking the straight path AB or walking the zig-zag path. The straight path AB is 200 m long. The zig-zag path forms two equilateral triangles with the straight line path. What will be the length of the zig-zag path?

Fill In the Blanks The mean and mode of a data are 24 and 12 respectively, then median of the data is ___________.

How to prove that √2 is irrational

Solve the following system of linear equations graphically: 3x – 5y = 19 3y – 7x +1 = 0 Does the coordinate (4, 9) lie on any of these lines? If yes, which of them?

The solution of √x4+16 = x2 – 4 is

Reframe x=-7 in standard form.

Find the coordinates of the centroid of a triangle whose vertices are (0, 6), (8, 12) and (8, 0).

If the HCF of 144 and 180 is expressed in form of 13p - 3 find value of p

A family has 2 children. What is the probability that both are girls?

Any number in which remainder is greater than divisor

Which of the equations have x = -3 , y = 2 as solutions?

Mr. Singh get Rs. 6455 at the end of one year at the rate of 14% per annum in a Reccuring deposit account. The monthly installment is ___.

If cot A=125, then the value of (sin A+cos A)×cosec A is

Consider the following events: E1: Six fair dice are rolled and at least one die shows six. E2: Twelve fair dice are rolled and at least two dice show six. Let p1 be the probability of E1 and p2 be the probability of E2. Which of the following is true?

Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q.

The data obtained from the register with a security guard regarding the number of people present at different times of the day will be classified under

AB is a chord of a circle with centre O and radius 4 cm. AB is of length 4 cm. Find the area of the sector of the circle formed by chord AB.

A man invests Rs 12,500 partly in shares of face value Rs 100 each paying 6% at Rs 140 and the remaining in shares paying 5% at Rs 125. If his total income is Rs 520, how much has he invested in each? [4 MARKS]

Find the value of tan35°tan40°tan45°tan50°tan55°

Can we get the value of F1 and F2 in points in statistics chapter using any formula

Show that any positive odd integer is of the form (4m + 1) or (4m + 3), where m is some integer.

(ma+nb):b::(mc+nd):d, prove a,b,c,d are in proportion by using componendo and dividendo

The value of k if (2, 3) lies on 2x=3y-k

Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

Find the slope of equation of the straight line passing through origin and the point of intersection of the lines x+2y=7 and x–y=4.0.2

A 6 feet tall man sees an apple on the ground, 6√3 feet away from him. What is the angle of depression when he is looking at the apple?

A hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl.

A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that (i) all will be blue? (ii) atleast one will be green?

The sum of the first 100 natural numbers is greater than the sum of the even numbers between 1 and 100 (included) by _____.

Six years hence a man’s age will be three times the age of his son and three years ago he was nine times as old as his son. Find their present ages.

Ritu has Recurring Deposit Account in a bank and deposits Rs 80 per month for 18 months. Find the rate of interest paid by the bank if the maturity value of this account is Rs 1,554.

Surface area of a sphere A is 300% more that the surface area of another sphere B. If the volume of sphere is p% less than the volume of sphere A. Find the value of P.

In a circle of radius 14 cm, an arc subtends an angle of 120∘ at the centre. If √3 = 1.73 then the area of the segment of the circle is (a) 120.56cm2 (b) 124.63cm2 (c) 118.24cm2 (d) 130.57cm2

2tan30/1+tan^2 30

The 7th term of an AP is -4 and its 13th term is - 16. Find the AP.

What is Algorithm

In an A.P., the first term is 8, nth term is -33 and the sum to first n terms is 123. Find n and d, the common difference.

In fig., OP is equal to diameter of the circle. Prove that ΔABP is an equilateral triangle.

Through any given set of four distinct points P, Q, R and S, it is possible to draw at most ___circle(s).

Solve the following inequalities graphically in two dimensional plane: 2x+y≥6

A shopkeeper sells an article at the listed price of Rs 1,500 and the rate of VAT is 12% at each stage of sale. If the shopkeeper pays a VAT of Rs 36 to the government, what was the price, inclusive of tax, at which the shopkeeper purchased the article from the wholesaler? [3 MARKS]

Four years ago , rahim's age was three times Ramu's age .after two years ,it would be just double . What are their ages now?

What is the shape of the graph of a odd powered polynomial (like x3,x​​​​​​5) called?

Use the given figure to find ∠ DQB

Tan​​​​3 A/ 1+tan​​​​2​​​A + cot​3​​​A / 1+ cot​2​​​A = secA cosecA - 2sinA cosA

Find 4 terms in GP whise product of first three terms is 8 and the sum of last three terms is 14

In the given figure, PQ is a diameter of the circle whose centre is O. Given ∠ ROS=42∘, ∠ RTS = ____________

What is the shape of the graph of a odd powered polynomial (like x3,x5) called?

Tan3 A/ 1+tan2A + cot3A / 1+ cot2A = secA cosecA - 2sinA cosA