25365 + Interview Questions in Mathematics

1.	What is the sum of 2sab + 3tba?
Answer» What is the sum of $\frac{2 s}{a b} + \frac{3 t}{b a}$ ?

Discussion

2.	Construct a cumulative frequency distribution table from the frequency table given below. Class Interval0−88−1616−2424−3232−40Frequency91312715
Answer» Construct a cumulative frequency distribution table from the frequency table given below. $\begin{matrix} Class Interval & 0 - 8 & 8 - 16 & 16 - 24 & 24 - 32 & 32 - 40 Frequency & 9 & 13 & 12 & 7 & 15 \end{matrix}$

Discussion

3.	Area of a square is 289 sq. cm. Find the length of the side of the square.
Answer» Area of a square is 289 sq. cm. Find the length of the side of the square.

Discussion

4.	You have deposited Rs 1000.00 in the bank which offers 7% interest on it every year.The interest is calculated as simple interest How much money will you have after 5 years?
Answer» You have deposited Rs 1000.00 in the bank which offers 7% interest on it every year.The interest is calculated as simple interest How much money will you have after 5 years?

Discussion

5.	A factory requires 42 machines to produce a given number of articles in 63 days. How many machenics would be required to produce the same number of articles in 54 days
Answer» A factory requires 42 machines to produce a given number of articles in 63 days. How many machenics would be required to produce the same number of articles in 54 days

Discussion

6.	If a=b^r, b= c^s and c= a^t, then : A) rst= 0 B) rst = -1 C) rst=1 D) r+s+t=1
Answer» If a=b^r, b= c^s and c= a^t, then : A) rst= 0 B) rst = -1 C) rst=1 D) r+s+t=1

6.

If a=b^r, b= c^s and c= a^t, then : A) rst= 0 B) rst = -1 C) rst=1 D) r+s+t=1

Answer»

If a=b^r, b= c^s and c= a^t, then :

A) rst= 0 B) rst = -1 C) rst=1 D) r+s+t=1

Discussion

7.	Question 1(ii) Factorise the following expressions p2−10p+25
Answer» Question 1(ii) Factorise the following expressions $p^{2} - 10 p + 25$

Discussion

8.	Name the property involved in the following example. 2/5+1/3=1/3+2/5
Answer» Name the property involved in the following example. 2/5+1/3=1/3+2/5

Discussion

9.	Why cuboid is a 3- d figure?
Answer» Why cuboid is a 3- d figure?

Discussion

10.	What kind of quadrilateral is ABCD, if its diagonals AC and BD are not equal and the quadrilateral has two lines of symmetry?
Answer» What kind of quadrilateral is ABCD, if its diagonals AC and BD are not equal and the quadrilateral has two lines of symmetry?

Discussion

11.	Find the area of a rhombus in which each side =12 CM and height =7.5 CM
Answer» Find the area of a rhombus in which each side =12 CM and height =7.5 CM

Discussion

12.	The biggest angle of a triangle is 10o more then twice of the smallest angle and the third angle is 10o more then the smallest angle. The three angles add up to 180o. Find the smallest angle?
Answer» The biggest angle of a triangle is 10^o more then twice of the smallest angle and the third angle is 10^o more then the smallest angle. The three angles add up to 180^o. Find the smallest angle?

Discussion

13.	The expression 21b - 32 + 7b - 20b on simplification gives
Answer» The expression 21b - 32 + 7b - 20b on simplification gives

13.

The expression 21b - 32 + 7b - 20b on simplification gives

Answer»

The expression 21b - 32 + 7b - 20b on simplification gives

Discussion

14.	The cost in rupees per tonne of oil moved by rail and road happens to be roughly
Answer» The cost in rupees per tonne of oil moved by rail and road happens to be roughly

14.

The cost in rupees per tonne of oil moved by rail and road happens to be roughly

Answer»

The cost in rupees per tonne of oil moved by rail and road happens to be roughly

Discussion

15.	Directions:- Study the following information carefully to answer the question given below. Twelve persons are sitting in two rows containing six persons each. In row- 1 - A, B, C, D, E and F are sitting facing West but not necessarily in the same order. In row-2 - P, Q, R, S, T and U are sitting facing North but not necessarily in the same order. There is an equal distance between adjacent persons. S sits third to the right of R, S doesn't sit at any extreme. R is not an immediate neighbour of U. Two persons sit between P and Q. T sits third to the left of U. D sits to the left of C, F sits third to the right of D. C doesn't sit at any extreme end. One person sits between B and D. C is not an immediate neighbour of B and A. What is the position of A with respect to E?
Answer» Directions:- Study the following information carefully to answer the question given below. Twelve persons are sitting in two rows containing six persons each. In row- 1 - A, B, C, D, E and F are sitting facing West but not necessarily in the same order. In row-2 - P, Q, R, S, T and U are sitting facing North but not necessarily in the same order. There is an equal distance between adjacent persons. S sits third to the right of R, S doesn't sit at any extreme. R is not an immediate neighbour of U. Two persons sit between P and Q. T sits third to the left of U. D sits to the left of C, F sits third to the right of D. C doesn't sit at any extreme end. One person sits between B and D. C is not an immediate neighbour of B and A. What is the position of A with respect to E?

Discussion

16.	Without actually calculating the cubes, find the value of (−12)3+(7)3+(5)3.
Answer» Without actually calculating the cubes, find the value of ${(- 12)}^{3} + {(7)}^{3} + {(5)}^{3}$ .

Discussion

17.	We have a parallelogram ABCD with AC and BD as diagonals. In parallelogram ABCD, ∠ ABC = 110∘, ∠ DAC = 15∘, ∠ CAB=25∘, AB = 5cm, CD = 7cm. Can we construct this parallelogram?
Answer» We have a parallelogram ABCD with AC and BD as diagonals. In parallelogram ABCD, $∠$ ABC = $110^{\circ}$ , $∠$ DAC = $15^{\circ}$ , $∠$ CAB= $25^{\circ}$ , AB = 5cm, CD = 7cm. Can we construct this parallelogram?

Discussion

18.	1.666666...... is a rational number and can be expressed in simplest pq form. Then p + q is 8
Answer» 1.666666...... is a rational number and can be expressed in simplest $\frac{p}{q}$ form. Then p + q is 8

Discussion

19.	−736÷2118×−1215 is equal to .
Answer» −736÷2118×−1215 is equal to .

Discussion

20.	The length , breadth and height of a rectangular block are in the ratio 5 : 3 : 4. It's Volume is 3840 cc. Find the breadth.
Answer» The length , breadth and height of a rectangular block are in the ratio 5 : 3 : 4. It's Volume is 3840 cc. Find the breadth.

20.

The length , breadth and height of a rectangular block are in the ratio 5 : 3 : 4. It's Volume is 3840 cc. Find the breadth.

Answer»

The length , breadth and height of a rectangular block are in the ratio 5 : 3 : 4. It's Volume is 3840 cc.

Find the breadth.

Discussion

21.	Two coins tossed together. What is the probability of getting at least one head?
Answer» Two coins tossed together. What is the probability of getting at least one head?

Discussion

22.	What is the square of 234 ?
Answer» What is the square of $2 \frac{3}{4}$ ?

Discussion

23.	Which of the following rational number is equivalent to 94 ?
Answer» Which of the following rational number is equivalent to $\frac{9}{4}$ ?

Discussion

24.	Prove that opposite sides and angles of a parallelogram are equal
Answer» Prove that opposite sides and angles of a parallelogram are equal

Discussion

25.	A shopkeeper offers 2.5% discount on cash purchases. What amount will Rohan pay for a cycle, which is marked price at ₹650?
Answer» A shopkeeper offers $2.5 %$ discount on cash purchases. What amount will Rohan pay for a cycle, which is marked price at ₹650?

Discussion

26.	A is 25% older than B. By what percent is B younger than A ?
Answer» A is 25% older than B. By what percent is B younger than A ?

Discussion

27.	(a−b)(b−c)+(b−c)(c−a)= ________
Answer» $(a - b) (b - c) + (b - c) (c - a) =$ ________

Discussion

28.	If x2+1x2=18, find the values of x+1x and x−1x.
Answer» $I f x^{2} + \frac{1}{x^{2}} = 18, find the values of x + \frac{1}{x} a n d x - \frac{1}{x} .$

Discussion

29.	Find the value of t which satisfies the following equation. 6(t−2)+7(3−8t)=4(t−2)−4(4−t)
Answer» Find the value of t which satisfies the following equation. $6 (t - 2) + 7 (3 - 8 t) = 4 (t - 2) - 4 (4 - t)$

Discussion

30.	Find six rational numbers between -2/5 and1/2
Answer» Find six rational numbers between -2/5 and1/2

Discussion

31.	Factorise: x2−7x−30
Answer» Factorise: $x^{2} - 7 x - 30$

Discussion

32.	Question 1 Find the values of the letters in the following and give reasons for the steps involved. 3 A+2 5––––––––B 2–––––––
Answer» Question 1 Find the values of the letters in the following and give reasons for the steps involved. $3 A + 25 - ------ - B 2 - ----- -$

Discussion

33.	A circle has an integral radius of 5 cm. What is the nature of its perimeter?
Answer» A circle has an integral radius of 5 cm. What is the nature of its perimeter?

Discussion

34.	A number is such that it is as much greater than 84 as it less than 108. The number is
Answer» A number is such that it is as much greater than 84 as it less than 108. The number is

Discussion

35.	A sold goods to B for Rs.4,000 and drew a bill for the amount due. B after giving his acceptance returned the bill to A. A discounted it form his bank for Rs.3,900. On due date, bill returned dishonoured and bank paid Rs.50 as noting charges. After one week B paid the full amount of the bill including the noting charges. Give journal entries in the books of A only.
Answer» A sold goods to B for Rs.4,000 and drew a bill for the amount due. B after giving his acceptance returned the bill to A. A discounted it form his bank for Rs.3,900. On due date, bill returned dishonoured and bank paid Rs.50 as noting charges. After one week B paid the full amount of the bill including the noting charges. Give journal entries in the books of A only.

Discussion

36.	If the length of a cube becomes 2 times the initial value, Find the Increase in the volume of the cube.
Answer» If the length of a cube becomes 2 times the initial value, Find the Increase in the volume of the cube.

Discussion

37.	The marks obtained by 40 students in class X of a certain school in a math paper of 50 marks total, are presented in the table. Find the mean using direct method. Marks obtainedNumber of students0−10310−20420−301330−401540−505
Answer» The marks obtained by 40 students in class X of a certain school in a math paper of 50 marks total, are presented in the table. Find the mean using direct method. $\begin{matrix} Marks obtained & Number of students 0 - 10 & 3 10 - 20 & 4 20 - 30 & 13 30 - 40 & 15 40 - 50 & 5 \end{matrix}$

Discussion

38.	For the expressions 'ab' and 'cd'. HCF is___
Answer» For the expressions 'ab' and 'cd'. HCF is___

Discussion

39.	In a isoceles traingle each base angle is 30' greater than the vertical angle . Find the measure of all the three angles of the triangles.
Answer» In a isoceles traingle each base angle is 30' greater than the vertical angle . Find the measure of all the three angles of the triangles.

Discussion

40.	Cube root of 216 is:
Answer» Cube root of 216 is:

Discussion

41.	Which sports is played by an equal number of girls and boys?
Answer» Which sports is played by an equal number of girls and boys?

41.

Which sports is played by an equal number of girls and boys?

Answer»

Which sports is played by an equal number of girls and boys?

Discussion

42.	Question 7 (ii) Without adding, find the sum: 1 +3 + 5+7 + 9 +11 +13+ 15 + 17+19
Answer» Question 7 (ii) Without adding, find the sum: 1 +3 + 5+7 + 9 +11 +13+ 15 + 17+19

42.

Question 7 (ii) Without adding, find the sum: 1 +3 + 5+7 + 9 +11 +13+ 15 + 17+19

Answer»

Question 7 (ii)
Without adding, find the sum:

1 +3 + 5+7 + 9 +11 +13+ 15 + 17+19

Discussion

43.	Divide the sum of the rational number 3/4 and -5/6 by the absolute of their difference
Answer» Divide the sum of the rational number 3/4 and -5/6 by the absolute of their difference

Discussion

44.	In a triangle ABC, if AC2 + BC2 = AB2, then which of the following sides are perpendicular?
Answer» In a triangle ABC, if AC² + BC² = AB², then which of the following sides are perpendicular?

Discussion

45.	In the figure, CAKE and LAKS are rectangles. P,O,L and S are the midpoints of CE,AK,CA and KE. Which of the following statements are true for the given figure?
Answer» In the figure, CAKE and LAKS are rectangles. P,O,L and S are the midpoints of CE,AK,CA and KE. Which of the following statements are true for the given figure?

Discussion

46.	Question 118 A rectangular examination hall having seats for 500 candidates has to be built so, as to allow 4 cubic metres of air and 0.5 square metres of floor area per candidate. If the length of hall be 25m, find the height and breadth of the hall.
Answer» Question 118 A rectangular examination hall having seats for 500 candidates has to be built so, as to allow 4 cubic metres of air and 0.5 square metres of floor area per candidate. If the length of hall be 25m, find the height and breadth of the hall.

46.

Question 118 A rectangular examination hall having seats for 500 candidates has to be built so, as to allow 4 cubic metres of air and 0.5 square metres of floor area per candidate. If the length of hall be 25m, find the height and breadth of the hall.

Answer»

Question 118

A rectangular examination hall having seats for 500 candidates has to be built so, as to allow 4 cubic metres of air and 0.5 square metres of floor area per candidate. If the length of hall be 25m, find the height and breadth of the hall.

Discussion

47.	Construct a parallelogram, whose two adjacent sides AB = 3.6 cm, BC = 4.6 cm and height corresponding to side BC = 2.6 cm. [3 MARKS]
Answer» Construct a parallelogram, whose two adjacent sides AB = 3.6 cm, BC = 4.6 cm and height corresponding to side BC = 2.6 cm. [3 MARKS]

Discussion

48.	Define Factorization?
Answer» Define Factorization?

Discussion

49.	4(x+y)^2-28(x^2-y^2)+49(x-y)^2
Answer» 4(x+y)^2-28(x^2-y^2)+49(x-y)^2

Discussion

50.	Factorise : ab−2b+a2−2a
Answer» Factorise : $a b - 2 b + a^{2} - 2 a$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

What is the sum of 2sab + 3tba?

Construct a cumulative frequency distribution table from the frequency table given below. Class Interval0−88−1616−2424−3232−40Frequency91312715

Area of a square is 289 sq. cm. Find the length of the side of the square.

You have deposited Rs 1000.00 in the bank which offers 7% interest on it every year.The interest is calculated as simple interest How much money will you have after 5 years?

A factory requires 42 machines to produce a given number of articles in 63 days. How many machenics would be required to produce the same number of articles in 54 days

If a=b^r, b= c^s and c= a^t, then : A) rst= 0 B) rst = -1 C) rst=1 D) r+s+t=1

Question 1(ii) Factorise the following expressions p2−10p+25

Name the property involved in the following example. 2/5+1/3=1/3+2/5

Why cuboid is a 3- d figure?

What kind of quadrilateral is ABCD, if its diagonals AC and BD are not equal and the quadrilateral has two lines of symmetry?

Find the area of a rhombus in which each side =12 CM and height =7.5 CM

The biggest angle of a triangle is 10o more then twice of the smallest angle and the third angle is 10o more then the smallest angle. The three angles add up to 180o. Find the smallest angle?

The expression 21b - 32 + 7b - 20b on simplification gives

The cost in rupees per tonne of oil moved by rail and road happens to be roughly

Without actually calculating the cubes, find the value of (−12)3+(7)3+(5)3.

We have a parallelogram ABCD with AC and BD as diagonals. In parallelogram ABCD, ∠ ABC = 110∘, ∠ DAC = 15∘, ∠ CAB=25∘, AB = 5cm, CD = 7cm. Can we construct this parallelogram?

1.666666...... is a rational number and can be expressed in simplest pq form. Then p + q is 8

−736÷2118×−1215 is equal to .

The length , breadth and height of a rectangular block are in the ratio 5 : 3 : 4. It's Volume is 3840 cc. Find the breadth.

Two coins tossed together. What is the probability of getting at least one head?

What is the square of 234 ?

Which of the following rational number is equivalent to 94 ?

Prove that opposite sides and angles of a parallelogram are equal

A shopkeeper offers 2.5% discount on cash purchases. What amount will Rohan pay for a cycle, which is marked price at ₹650?

A is 25% older than B. By what percent is B younger than A ?

(a−b)(b−c)+(b−c)(c−a)= ________

If x2+1x2=18, find the values of x+1x and x−1x.

Find the value of t which satisfies the following equation. 6(t−2)+7(3−8t)=4(t−2)−4(4−t)

Find six rational numbers between -2/5 and1/2

Factorise: x2−7x−30

Question 1 Find the values of the letters in the following and give reasons for the steps involved. 3 A+2 5––––––––B 2–––––––

A circle has an integral radius of 5 cm. What is the nature of its perimeter?

A number is such that it is as much greater than 84 as it less than 108. The number is

If the length of a cube becomes 2 times the initial value, Find the Increase in the volume of the cube.

The marks obtained by 40 students in class X of a certain school in a math paper of 50 marks total, are presented in the table. Find the mean using direct method. Marks obtainedNumber of students0−10310−20420−301330−401540−505

For the expressions 'ab' and 'cd'. HCF is___

In a isoceles traingle each base angle is 30' greater than the vertical angle . Find the measure of all the three angles of the triangles.

Cube root of 216 is:

Which sports is played by an equal number of girls and boys?

Question 7 (ii) Without adding, find the sum: 1 +3 + 5+7 + 9 +11 +13+ 15 + 17+19

Divide the sum of the rational number 3/4 and -5/6 by the absolute of their difference

In a triangle ABC, if AC2 + BC2 = AB2, then which of the following sides are perpendicular?

In the figure, CAKE and LAKS are rectangles. P,O,L and S are the midpoints of CE,AK,CA and KE. Which of the following statements are true for the given figure?

Question 118 A rectangular examination hall having seats for 500 candidates has to be built so, as to allow 4 cubic metres of air and 0.5 square metres of floor area per candidate. If the length of hall be 25m, find the height and breadth of the hall.

Construct a parallelogram, whose two adjacent sides AB = 3.6 cm, BC = 4.6 cm and height corresponding to side BC = 2.6 cm. [3 MARKS]

Define Factorization?

4(x+y)^2-28(x^2-y^2)+49(x-y)^2

Factorise : ab−2b+a2−2a