25365 + Interview Questions in Mathematics

1.	Question 1(ii)Carry out the division.−36y3÷9y2
Answer» Question 1(ii) Carry out the division. $- 36 y^{3} \div 9 y^{2}$

Discussion

2.	Let A1=[a1]A2=[a2a3a4a5]A3=⎡⎢⎣a6a7a8a9a10a11a12a13a14⎤⎥⎦⋯⋯An=[⋯] where ar=[log2r]([⋅] denotes the greatest integer). Then trace of A10 is
Answer» Let $A_{1} = [a_{1}] A_{2} = [\begin{matrix} a_{2} & a_{3} a_{4} & a_{5} \end{matrix}] A_{3} = ⎡ ⎢ ⎣ \begin{matrix} a_{6} & a_{7} & a_{8} a_{9} & a_{10} & a_{11} a_{12} & a_{13} & a_{14} \end{matrix} ⎤ ⎥ ⎦ \dots \dots A_{n} = [\dots] where a_{r} = [{log}_{2} r]$ $([\cdot]$ denotes the greatest integer $)$ . Then trace of $A_{10}$ is

Discussion

3.	Class-mark of the class-interval 35 - 55 is
Answer» Class-mark of the class-interval 35 - 55 is

Discussion

4.	The sector corresponding to the arc congruent to arc(AB) is
Answer» The sector corresponding to the arc congruent to arc(AB) is

Discussion

5.	Question 18A TV set was bought for Rs 26250 including 5% VAT. The original price of the TV set is(a) Rs. 27562.50(b) Rs. 25000(c) Rs. 24937.50(d) Rs. 26245
Answer» Question 18 A TV set was bought for Rs 26250 including 5% VAT. The original price of the TV set is (a) Rs. 27562.50 (b) Rs. 25000 (c) Rs. 24937.50 (d) Rs. 26245

5.

Question 18A TV set was bought for Rs 26250 including 5% VAT. The original price of the TV set is(a) Rs. 27562.50(b) Rs. 25000(c) Rs. 24937.50(d) Rs. 26245

Answer»

Question 18

A TV set was bought for Rs 26250 including 5% VAT. The original price of the TV set is

(a) Rs. 27562.50

(b) Rs. 25000

(c) Rs. 24937.50

(d) Rs. 26245

Discussion

6.	factorise : a^2x^2-b^2=0
Answer» factorise : a^2x^2-b^2=0

Discussion

7.	The ages of Ragul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their their present ages?
Answer» The ages of Ragul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their their present ages?

Discussion

8.	If one number is x and other number is 3 more than one third of first number, then the other number is
Answer» If one number is x and other number is 3 more than one third of first number, then the other number is

Discussion

9.	Question 89Solve the following question:Show that 500 is not a perfect square.
Answer» Question 89 Solve the following question: Show that 500 is not a perfect square.

9.

Question 89Solve the following question:Show that 500 is not a perfect square.

Answer»

Question 89

Solve the following question:

Show that 500 is not a perfect square.

Discussion

10.	The height from the center of the earth at which the weight of a body becomes 1/16th times its weight on the surface of the earth is - R is the radius of earth.
Answer» The height from the center of the earth at which the weight of a body becomes $1 / 16^{th}$ times its weight on the surface of the earth is - $R$ is the radius of earth.

Discussion

11.	Compute the volume and surface area of rectangular prisms of measurements given below: (i) length 24 centimetres, breadth 15 centimetres, height 32 centimetres (ii) length 42.5 centimetres, breadth 25 centimetres, height 86 centimetres (iii) length 37 centimetres, breadth 23 centimetres, height 58 centimetres
Answer» Compute the volume and surface area of rectangular prisms of measurements given below: (i) length 24 centimetres, breadth 15 centimetres, height 32 centimetres (ii) length 42.5 centimetres, breadth 25 centimetres, height 86 centimetres (iii) length 37 centimetres, breadth 23 centimetres, height 58 centimetres

11.

Compute the volume and surface area of rectangular prisms of measurements given below: (i) length 24 centimetres, breadth 15 centimetres, height 32 centimetres (ii) length 42.5 centimetres, breadth 25 centimetres, height 86 centimetres (iii) length 37 centimetres, breadth 23 centimetres, height 58 centimetres

Answer»

Compute the volume and surface area of rectangular prisms of measurements given below:

(i) length 24 centimetres, breadth 15 centimetres, height 32 centimetres

(ii) length 42.5 centimetres, breadth 25 centimetres, height 86 centimetres

(iii) length 37 centimetres, breadth 23 centimetres, height 58 centimetres

Discussion

12.	8 For the triangle formed by the points A (4,-6) and B (3,-2) and C (5,2), verify that the median divides the triangle into two triangles of equal area.
Answer» 8 For the triangle formed by the points A (4,-6) and B (3,-2) and C (5,2), verify that the median divides the triangle into two triangles of equal area.

Discussion

13.	Estimate the square root of 536 to the nearest whole number.
Answer» Estimate the square root of 536 to the nearest whole number.

Discussion

14.	Question 83 (viii) Multiply the following: x2y2z2 and (xy - yz + zx)
Answer» Question 83 (viii) Multiply the following: $x^{2} y^{2} z^{2}$ and (xy - yz + zx)

Discussion

15.	A tank, which is cuboidal in shape, has volume 6.4 m3. The length and breadth of the base are 2 m and 1.6 m respectively. Find the depth of the tank.
Answer» A tank, which is cuboidal in shape, has volume 6.4 m³. The length and breadth of the base are 2 m and 1.6 m respectively. Find the depth of the tank.

Discussion

16.	x2 + 5x + 6 = 0 y2 + 3y + 2 = 0
Answer» x $^{2}$ + 5x + 6 = 0 y $^{2}$ + 3y + 2 = 0

16.

x2 + 5x + 6 = 0 y2 + 3y + 2 = 0

Answer»

x $^{2}$ + 5x + 6 = 0

y $^{2}$ + 3y + 2 = 0

Discussion

17.	Prove that in the sequence 1, 2, 3, ….. of natural numbers, 1 added to the product of any two alternatives numbers perfect square.
Answer» Prove that in the sequence 1, 2, 3, ….. of natural numbers, 1 added to the product of any two alternatives numbers perfect square.

Discussion

18.	find the common †an gent of x^2+y^2=2a^2 and y^2=8ax
Answer» find the common †an gent of x^2+y^2=2a^2 and y^2=8ax

Discussion

19.	If 12% of a kitten's weight is 108 grams, then find its total weight.
Answer» If $12 %$ of a kitten's weight is 108 grams, then find its total weight.

Discussion

20.	A cone and a cylinder have a radius and height of 3 cm and 5 cm respectively. The ratio of the volume of cone to that of the cylinder is equal to
Answer» A cone and a cylinder have a radius and height of 3 cm and 5 cm respectively. The ratio of the volume of cone to that of the cylinder is equal to

Discussion

21.	Question 3 n2−1 is divisible by 8, if n is A) An integer B) A natural number C) An odd integer D) An even integer
Answer» Question 3 $n^{2} - 1$ is divisible by 8, if n is A) An integer B) A natural number C) An odd integer D) An even integer

Discussion

22.	The value of limx→0 ( X COSX -log(1+ X)/Xsquare is equal to
Answer» The value of limx→0 ( X COSX -log(1+ X)/Xsquare is equal to

Discussion

23.	Question 1Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities(i) C >S(ii) C =S(iii) C < SThen,(a) only (i) is correct(b) either (i) or (ii) correct(c) either (ii) or (iii) is correct(d) only (iii) is correct
Answer» Question 1 Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities (i) C >S (ii) C =S (iii) C < S Then, (a) only (i) is correct (b) either (i) or (ii) correct (c) either (ii) or (iii) is correct (d) only (iii) is correct

23.

Question 1Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities(i) C >S(ii) C =S(iii) C < SThen,(a) only (i) is correct(b) either (i) or (ii) correct(c) either (ii) or (iii) is correct(d) only (iii) is correct

Answer»

Question 1

Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities

(i) C >S

(ii) C =S

(iii) C < S

Then,

(a) only (i) is correct

(b) either (i) or (ii) correct

(c) either (ii) or (iii) is correct

(d) only (iii) is correct

Discussion

24.	As per the adjoining pictograph _______ flags were sold in March
Answer» As per the adjoining pictograph _______ flags were sold in March

24.

As per the adjoining pictograph _______ flags were sold in March

Answer»

As per the adjoining pictograph _______ flags were sold in March

Discussion

25.	What must be subtracted from (x4 + 2x3 – 2x2 + 4x + 6) so that the result is exactly divisible by (x2 + 2x – 3)?
Answer» What must be subtracted from (x⁴+ 2x³– 2x² + 4x + 6) so that the result is exactly divisible by (x²+ 2x – 3)?

Discussion

26.	Write the following in the normal form: (i) (5 × 10) + (6 × 1); (ii) (7 × 100) + (5 × 10) + (8 × 1); (iii) (6 × 1000) + (5 × 10) + (8 × 1); (iv) (7 × 1000) + (6 × 1); (v) (1 × 1000) + (1 × 10) .
Answer» Write the following in the normal form: (i) (5 × 10) + (6 × 1); (ii) (7 × 100) + (5 × 10) + (8 × 1); (iii) (6 × 1000) + (5 × 10) + (8 × 1); (iv) (7 × 1000) + (6 × 1); (v) (1 × 1000) + (1 × 10) .

26.

Write the following in the normal form: (i) (5 × 10) + (6 × 1); (ii) (7 × 100) + (5 × 10) + (8 × 1); (iii) (6 × 1000) + (5 × 10) + (8 × 1); (iv) (7 × 1000) + (6 × 1); (v) (1 × 1000) + (1 × 10) .

Answer»

Write the following in the normal form:

(i) (5 × 10) + (6 × 1); (ii) (7 × 100) + (5 × 10) + (8 × 1); (iii) (6 × 1000) + (5 × 10) + (8 × 1); (iv) (7 × 1000) + (6 × 1); (v) (1 × 1000) + (1 × 10) .

Discussion

27.	The daily wages of 50 workers in a factory are given below :Daily340−380380−420420−460460−500500−540540−580wages inrupeesNumber of16912274workersConstruct a histogram to represent the above frequency distribution.
Answer» The daily wages of 50 workers in a factory are given below : $\begin{matrix} Daily & 340 - 380 & 380 - 420 & 420 - 460 & 460 - 500 & 500 - 540 & 540 - 580 wages in rupees Number of & 16 & 9 & 12 & 2 & 7 & 4 workers \end{matrix}$ Construct a histogram to represent the above frequency distribution.

Discussion

28.	If x=5+25-2 and y=5-25+2, show that 3x2+4xy-3y2=4+56310.
Answer» If $x = \frac{\sqrt{5} + \sqrt{2}}{\sqrt{5} - \sqrt{2}} and y = \frac{\sqrt{5} - \sqrt{2}}{\sqrt{5} + \sqrt{2}}$ , show that $3 x^{2} + 4 x y - 3 y^{2} = 4 + \frac{56}{3} \sqrt{10}$ .

Discussion

29.	If f(x) and g(x) are two polynomials such that the polynomial P(x)=f(x3)+xg(x3) is divisible by x2+x+1, then P(1) is equal to
Answer» If $f (x)$ and $g (x)$ are two polynomials such that the polynomial $P (x) = f (x^{3}) + x g (x^{3})$ is divisible by $x^{2} + x + 1,$ then $P (1)$ is equal to

Discussion

30.	In a colony, 40 people read the Hindu, 10 read the Times of India, 20 read the Economics times while 30 read some local newspaper. Draw a pie chart for different newspaper readers in the colony along with central angle. [4 MARKS]
Answer» In a colony, 40 people read the Hindu, 10 read the Times of India, 20 read the Economics times while 30 read some local newspaper. Draw a pie chart for different newspaper readers in the colony along with central angle. [4 MARKS]

Discussion

31.	The product of successor and predecessor of 1001 is
Answer» The product of successor and predecessor of $1001$ is

Discussion

32.	What should be added to 1−x+x2–2x3 to get x3?
Answer» What should be added to $1 - x + x^{2} - 2 x^{3}$ to get $x^{3}$ ?

Discussion

33.	In a rhombus ABCD the altitude from D to side AB, bisects AB . Find the angles of the rhombus.
Answer» In a rhombus ABCD the altitude from D to side AB, bisects AB . Find the angles of the rhombus.

Discussion

34.	If we have measurments of 2 adjacent sides and minimum of __ angles, we can construct a unique quadrilateral. Fill in the blank.
Answer» If we have measurments of 2 adjacent sides and minimum of __ angles, we can construct a unique quadrilateral. Fill in the blank.

Discussion

35.	(4pq+3q)2−(4pq−3q)2 =
Answer» (4pq+3q)2−(4pq−3q)2 =

Discussion

36.	Question 37 From the given graph, choose the letters that indicate the location of the points given below.
Answer» Question 37 From the given graph, choose the letters that indicate the location of the points given below.

Discussion

37.	Question 52The number of milk teeth in human beings is 20 and the number of permanent teeth is 32. Find the ratio of the number of milk teeth to the number of permanent teeth.
Answer» Question 52 The number of milk teeth in human beings is 20 and the number of permanent teeth is 32. Find the ratio of the number of milk teeth to the number of permanent teeth.

37.

Question 52The number of milk teeth in human beings is 20 and the number of permanent teeth is 32. Find the ratio of the number of milk teeth to the number of permanent teeth.

Answer»

Question 52

The number of milk teeth in human beings is 20 and the number of permanent teeth is 32. Find the ratio of the number of milk teeth to the number of permanent teeth.

Discussion

38.	Question 72 Ajita starts off from home at 07.00 h with her father on a scooter that goes at a uniform speed of 30 km/h and drops her at her school after half an hour. She stays in the school till 13.30 h and takes an auto rickshaw to return home. The rickshaw has a uniform speed of 10km/h. Draw the graph of the above situation and also determine the distance of Ajita's school from her house.
Answer» Question 72 Ajita starts off from home at 07.00 h with her father on a scooter that goes at a uniform speed of 30 km/h and drops her at her school after half an hour. She stays in the school till 13.30 h and takes an auto rickshaw to return home. The rickshaw has a uniform speed of 10km/h. Draw the graph of the above situation and also determine the distance of Ajita's school from her house.

Discussion

39.	What will be the compound interest (in ₹) on ₹8,000 at 20% per annum for 9 months compounded quarterly?1261
Answer» What will be the compound interest (in ₹) on ₹8,000 at $20 %$ per annum for 9 months compounded quarterly? 1261

Discussion

40.	Mettez le dialogue en ordre. Ah! Je n'ai pas de choix mais c'est très dur. Je suis mannequin. Je peux comprendre. Bonne chance ma chérie. C'est génial. C'est pourquoi tu es toujours au regime. Oui mais pour ça je dois travailler toute la journée comme âne. Salut Anne! Quelle est ta profession? Mais tu gagnes beaucoup d'argent!
Answer» Mettez le dialogue en ordre. Ah! Je n'ai pas de choix mais c'est très dur. Je suis mannequin. Je peux comprendre. Bonne chance ma chérie. C'est génial. C'est pourquoi tu es toujours au regime. Oui mais pour ça je dois travailler toute la journée comme âne. Salut Anne! Quelle est ta profession? Mais tu gagnes beaucoup d'argent!

Discussion

41.	A retailer allows a trade discount of 20% and a cash discount of 614% on the market price of the products and gets a net profit of 20% on the cost. By how much above the cost, should the products be labelled for sale?
Answer» A retailer allows a trade discount of $20 %$ and a cash discount of $6 \frac{1}{4} %$ on the market price of the products and gets a net profit of $20 %$ on the cost. By how much above the cost, should the products be labelled for sale?

Discussion

42.	There are 6 types of teddy bears and 4 types of barbie dolls available in a toy shop. Find the number of ways a child can buy one toy of both kind?
Answer» There are 6 types of teddy bears and 4 types of barbie dolls available in a toy shop. Find the number of ways a child can buy one toy of both kind?

Discussion

43.	The value of 2×16 is .
Answer» The value of $2 \times 16$ is .

Discussion

44.	Question 3(ii)Verify that - (-x) = x for :x=−1317
Answer» Question 3(ii) Verify that - (-x) = x for : $x = \frac{- 13}{17}$

Discussion

45.	The smallest number among −23,−96,−52 and −34 is .
Answer» The smallest number among $- \frac{2}{3}$ , $- \frac{9}{6}$ , $- \frac{5}{2}$ and $- \frac{3}{4}$ is .

Discussion

46.	64a^3 - 27b^3 - 144a^2b + 108ab^2
Answer» 64a^3 - 27b^3 - 144a^2b + 108ab^2

Discussion

47.	Mariam found a box of puzzles in her attic. One of them had a bunch of numbers arranged in the order shown below.She wants to arrange the numbers such that there are no prime numbers in the list, and they follow a descending order.Find the correct order of the series.
Answer» Mariam found a box of puzzles in her attic. One of them had a bunch of numbers arranged in the order shown below. She wants to arrange the numbers such that there are no prime numbers in the list, and they follow a descending order. Find the correct order of the series.

Discussion

48.	the ratio of two sides of a parallelogram is 4:3. if its perimeter is 56 cm find the length of its side.
Answer» the ratio of two sides of a parallelogram is 4:3. if its perimeter is 56 cm find the length of its side.

Discussion

49.	The set {78,89,910,1011,1112} expressed in set-builder form is ____. (Here, N represents the set of natural numbers.)
Answer» The set ${\frac{7}{8}, \frac{8}{9}, \frac{9}{10}, \frac{10}{11}, \frac{11}{12}}$ expressed in set-builder form is ____. (Here, N represents the set of natural numbers.)

Discussion

50.	What is tetrahedron ?
Answer» What is tetrahedron ?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 1(ii)Carry out the division.−36y3÷9y2

Let A1=[a1]A2=[a2a3a4a5]A3=⎡⎢⎣a6a7a8a9a10a11a12a13a14⎤⎥⎦⋯⋯An=[⋯] where ar=[log2r]([⋅] denotes the greatest integer). Then trace of A10 is

Class-mark of the class-interval 35 - 55 is

The sector corresponding to the arc congruent to arc(AB) is

Question 18A TV set was bought for Rs 26250 including 5% VAT. The original price of the TV set is(a) Rs. 27562.50(b) Rs. 25000(c) Rs. 24937.50(d) Rs. 26245

factorise : a^2x^2-b^2=0

The ages of Ragul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their their present ages?

If one number is x and other number is 3 more than one third of first number, then the other number is

Question 89Solve the following question:Show that 500 is not a perfect square.

The height from the center of the earth at which the weight of a body becomes 1/16th times its weight on the surface of the earth is - R is the radius of earth.

8 For the triangle formed by the points A (4,-6) and B (3,-2) and C (5,2), verify that the median divides the triangle into two triangles of equal area.

Estimate the square root of 536 to the nearest whole number.

Question 83 (viii) Multiply the following: x2y2z2 and (xy - yz + zx)

A tank, which is cuboidal in shape, has volume 6.4 m3. The length and breadth of the base are 2 m and 1.6 m respectively. Find the depth of the tank.

x2 + 5x + 6 = 0 y2 + 3y + 2 = 0

Prove that in the sequence 1, 2, 3, ….. of natural numbers, 1 added to the product of any two alternatives numbers perfect square.

find the common †an gent of x^2+y^2=2a^2 and y^2=8ax

If 12% of a kitten's weight is 108 grams, then find its total weight.

A cone and a cylinder have a radius and height of 3 cm and 5 cm respectively. The ratio of the volume of cone to that of the cylinder is equal to

Question 3 n2−1 is divisible by 8, if n is A) An integer B) A natural number C) An odd integer ​​​​​​​D) An even integer

The value of limx→0 ( X COSX -log(1+ X)/Xsquare is equal to

Question 1Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities(i) C &gt;S(ii) C =S(iii) C &lt; SThen,(a) only (i) is correct(b) either (i) or (ii) correct(c) either (ii) or (iii) is correct(d) only (iii) is correct

As per the adjoining pictograph _______ flags were sold in March

What must be subtracted from (x4 + 2x3 – 2x2 + 4x + 6) so that the result is exactly divisible by (x2 + 2x – 3)?

Write the following in the normal form: (i) (5 × 10) + (6 × 1); (ii) (7 × 100) + (5 × 10) + (8 × 1); (iii) (6 × 1000) + (5 × 10) + (8 × 1); (iv) (7 × 1000) + (6 × 1); (v) (1 × 1000) + (1 × 10) .

The daily wages of 50 workers in a factory are given below :Daily340−380380−420420−460460−500500−540540−580wages inrupeesNumber of16912274workersConstruct a histogram to represent the above frequency distribution.

If x=5+25-2 and y=5-25+2, show that 3x2+4xy-3y2=4+56310.

If f(x) and g(x) are two polynomials such that the polynomial P(x)=f(x3)+xg(x3) is divisible by x2+x+1, then P(1) is equal to

In a colony, 40 people read the Hindu, 10 read the Times of India, 20 read the Economics times while 30 read some local newspaper. Draw a pie chart for different newspaper readers in the colony along with central angle. [4 MARKS]

The product of successor and predecessor of 1001 is

What should be added to 1−x+x2–2x3 to get x3?

In a rhombus ABCD the altitude from D to side AB, bisects AB . Find the angles of the rhombus.

If we have measurments of 2 adjacent sides and minimum of __ angles, we can construct a unique quadrilateral. Fill in the blank.

(4pq+3q)2−(4pq−3q)2 =

Question 37 From the given graph, choose the letters that indicate the location of the points given below.

Question 52The number of milk teeth in human beings is 20 and the number of permanent teeth is 32. Find the ratio of the number of milk teeth to the number of permanent teeth.

What will be the compound interest (in ₹) on ₹8,000 at 20% per annum for 9 months compounded quarterly?1261

A retailer allows a trade discount of 20% and a cash discount of 614% on the market price of the products and gets a net profit of 20% on the cost. By how much above the cost, should the products be labelled for sale?

There are 6 types of teddy bears and 4 types of barbie dolls available in a toy shop. Find the number of ways a child can buy one toy of both kind?

The value of 2×16 is .

Question 3(ii)Verify that - (-x) = x for :x=−1317

The smallest number among −23,−96,−52 and −34 is .

64a^3 - 27b^3 - 144a^2b + 108ab^2

Mariam found a box of puzzles in her attic. One of them had a bunch of numbers arranged in the order shown below.She wants to arrange the numbers such that there are no prime numbers in the list, and they follow a descending order.Find the correct order of the series.

the ratio of two sides of a parallelogram is 4:3. if its perimeter is 56 cm find the length of its side.

The set {78,89,910,1011,1112} expressed in set-builder form is ____. (Here, N represents the set of natural numbers.)

What is tetrahedron ?

Question 3 n2−1 is divisible by 8, if n is A) An integer B) A natural number C) An odd integer D) An even integer

Question 1Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities(i) C >S(ii) C =S(iii) C < SThen,(a) only (i) is correct(b) either (i) or (ii) correct(c) either (ii) or (iii) is correct(d) only (iii) is correct