25365 + Interview Questions in Mathematics

1.	Factorise : 6ab−b2+12ac−2bc
Answer» Factorise : $6 a b - b^{2} + 12 a c - 2 b c$

Discussion

2.	Evaluate : 3√4096
Answer» Evaluate : $\sqrt[3]{4096}$

Discussion

3.	Factorize 8a3−27b3−36a2b+54ab2
Answer» Factorize $8 a^{3} - 27 b^{3} - 36 a^{2} b + 54 a b^{2}$

Discussion

4.	According to a survey conducted in a city, 25% were doctors, 30% were engineers, 15% were businessmen and rest were illiterates. Find the number of illiterates if the total population of the city is 5000.
Answer» According to a survey conducted in a city, 25 $%$ were doctors, 30 $%$ were engineers, 15 $%$ were businessmen and rest were illiterates. Find the number of illiterates if the total population of the city is 5000.

Discussion

5.	What is the volume of a cuboidal box of length 8xy units, breadth 3xy units and height xy units?
Answer» What is the volume of a cuboidal box of length $8 x y$ units, breadth $3 x y$ units and height $x y$ units?

Discussion

6.	What are the prime factors of 777?
Answer» What are the prime factors of 777?

Discussion

7.	A cyclist moves with a speed of 45 km\hr. How much distance will he cover in 212 hrs.
Answer» A cyclist moves with a speed of $\frac{4}{5}$ km\hr. How much distance will he cover in $2 \frac{1}{2}$ hrs.

Discussion

8.	Calculate the amount on a sum of ₹4000 for 2 years at an interest rate of 10% per annum compounded half-yearly.
Answer» Calculate the amount on a sum of ₹4000 for 2 years at an interest rate of 10% per annum compounded half-yearly.

Discussion

9.	Question 59 Locate the points A(1,2), B(4,2) and C(1,4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rectangle ABCD.
Answer» Question 59 Locate the points A(1,2), B(4,2) and C(1,4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rectangle ABCD.

Discussion

10.	A fruit seller sells 4 oranges for ₹3. gaining 50%. The cost price of 4 oranges is ₹ ___.
Answer» A fruit seller sells 4 oranges for ₹3. gaining 50%. The cost price of 4 oranges is ₹ ___.

Discussion

11.	Question 53 In the following question, fill in the blanks to make the statements true. The value fo 3×10−7 is equal to ___
Answer» Question 53 In the following question, fill in the blanks to make the statements true. The value fo $3 \times 10^{- 7}$ is equal to ___

11.

Question 53 In the following question, fill in the blanks to make the statements true. The value fo 3×10−7 is equal to ___

Answer»

Question 53

In the following question, fill in the blanks to make the statements true.

The value fo $3 \times 10^{- 7}$ is equal to ___

Discussion

12.	Prepare a bank reconciliation statement as on 30th September 2016 from the following particulars. Amt (Rs.)(i)Bank balance as per passbook10,000(ii)Cheque deposited into the bank but no entry was passed in the cash book 500(iii)Cheque received and entered in the cash book but not sent to bank 1,200(iv)Credit side of the cash book bank column cast short 200(v)Insurance premium paid directly by the bank under the standing advice 600(vi)Bank charges entered twice in the cash book 20(vii)Cheque issued but not presented to the bank for payment 500(viii)Cheque received entered twice in the cash book 1,000(ix)Bill discounted dishonoured, not recorded in the cash book 5,000
Answer» Prepare a bank reconciliation statement as on 30th September 2016 from the following particulars. $\begin{matrix} Amt (Rs.) (i) & Bank balance as per passbook & 10, 000 (i i) & Cheque deposited into the bank but no entry was passed in the cash book & 500 (i i i) & Cheque received and entered in the cash book but not sent to bank & 1, 200 (i v) & Credit side of the cash book bank column cast short & 200 (v) & Insurance premium paid directly by the bank under the standing advice & 600 (v i) & Bank charges entered twice in the cash book & 20 (v i i) & Cheque issued but not presented to the bank for payment & 500 (v i i i) & Cheque received entered twice in the cash book & 1, 000 (i x) & Bill discounted dishonoured, not recorded in the cash book & 5, 000 \end{matrix}$

12.

Prepare a bank reconciliation statement as on 30th September 2016 from the following particulars. Amt (Rs.)(i)Bank balance as per passbook10,000(ii)Cheque deposited into the bank but no entry was passed in the cash book 500(iii)Cheque received and entered in the cash book but not sent to bank 1,200(iv)Credit side of the cash book bank column cast short 200(v)Insurance premium paid directly by the bank under the standing advice 600(vi)Bank charges entered twice in the cash book 20(vii)Cheque issued but not presented to the bank for payment 500(viii)Cheque received entered twice in the cash book 1,000(ix)Bill discounted dishonoured, not recorded in the cash book 5,000

Answer»

Prepare a bank reconciliation statement as on 30th September 2016 from the following particulars.

$\begin{matrix} Amt (Rs.) (i) & Bank balance as per passbook & 10, 000 (i i) & Cheque deposited into the bank but no entry was passed in the cash book & 500 (i i i) & Cheque received and entered in the cash book but not sent to bank & 1, 200 (i v) & Credit side of the cash book bank column cast short & 200 (v) & Insurance premium paid directly by the bank under the standing advice & 600 (v i) & Bank charges entered twice in the cash book & 20 (v i i) & Cheque issued but not presented to the bank for payment & 500 (v i i i) & Cheque received entered twice in the cash book & 1, 000 (i x) & Bill discounted dishonoured, not recorded in the cash book & 5, 000 \end{matrix}$

Discussion

13.	What is the sentence type? Mridul gave up his favourite sport because his back injury was serious.
Answer» What is the sentence type? Mridul gave up his favourite sport because his back injury was serious.

13.

What is the sentence type? Mridul gave up his favourite sport because his back injury was serious.

Answer»

What is the sentence type?

Mridul gave up his favourite sport because his back injury was serious.

Discussion

14.	Find the maximum possible exterior angle for a regular polygon
Answer» Find the maximum possible exterior angle for a regular polygon

Discussion

15.	A farmer bought 100 hens for ₹4000, sells 20 of them at a gain of 5%. At what gain % must he sell so as to gain 20% on the whole?
Answer» A farmer bought $100$ hens for $₹ 4000$ , sells $20$ of them at a gain of $5 %$ . At what gain $%$ must he sell so as to gain $20 %$ on the whole?

Discussion

16.	Find the cube roots of the following perfect cubes using estimation 592704
Answer» Find the cube roots of the following perfect cubes using estimation 592704

Discussion

17.	The value of x satisfying the equation x−75=135 is___.___
Answer» $The value of x satisfying the equation x - \frac{7}{5} = \frac{13}{5} is___.$ ___

Discussion

18.	Who among the following is seated exactly between C and E?
Answer» Who among the following is seated exactly between C and E?

Discussion

19.	Factorise: m4+m2+1.
Answer» Factorise: $m^{4} + m^{2} + 1.$

Discussion

20.	The second multiple of 108 is
Answer» The second multiple of 108 is

Discussion

21.	The ratio between the curved surface area and the total surface area of cylinder is 2:5. Then the ratio between the height and radius of cylinder will be:
Answer» The ratio between the curved surface area and the total surface area of cylinder is 2:5. Then the ratio between the height and radius of cylinder will be:

21.

The ratio between the curved surface area and the total surface area of cylinder is 2:5. Then the ratio between the height and radius of cylinder will be:

Answer»

The ratio between the curved surface area and the total surface area of cylinder is 2:5. Then the ratio between the height and radius of cylinder will be:

Discussion

22.	In cricket, run rate is defined as the number of runs scored divided number of overs bowled. Team 'A' scores 260 runs in 50 overs batting first. The team "B" bat at half the run rate of the team "A" who bat first and plays entire 50 overs. Find the run scored by team "B". ___
Answer» In cricket, run rate is defined as the number of runs scored divided number of overs bowled. Team 'A' scores 260 runs in 50 overs batting first. The team "B" bat at half the run rate of the team "A" who bat first and plays entire 50 overs. Find the run scored by team "B". ___

Discussion

23.	Factorise : 1−100a2
Answer» Factorise : $1 - 100 a^{2}$

Discussion

24.	Rekha bought a saree for Rs. 1240 and sold it for Rs. 1147. Find her loss and loss percent.
Answer» Rekha bought a saree for Rs. 1240 and sold it for Rs. 1147. Find her loss and loss percent.

Discussion

25.	Verify associativity of addition of rational numbers i.e., (x+y)+z=x+(y+z) when: (i) x=12,y=23,z=−15 (ii) x=−25,y=43,z=−710 (iii) x=−711,y=2−5,z=−322 (iv) x=−2,y=35,z=−43
Answer» Verify associativity of addition of rational numbers i.e., $(x + y) + z = x + (y + z)$ when: (i) $x = \frac{1}{2}, y = \frac{2}{3}, z = - \frac{1}{5}$ (ii) $x = \frac{- 2}{5}, y = \frac{4}{3}, z = \frac{- 7}{10}$ (iii) $x = \frac{- 7}{11}, y = \frac{2}{- 5}, z = \frac{- 3}{22}$ (iv) $x = - 2, y = \frac{3}{5}, z = \frac{- 4}{3}$

25.

Verify associativity of addition of rational numbers i.e., (x+y)+z=x+(y+z) when: (i) x=12,y=23,z=−15 (ii) x=−25,y=43,z=−710 (iii) x=−711,y=2−5,z=−322 (iv) x=−2,y=35,z=−43

Answer»

Verify associativity of addition of rational numbers i.e., $(x + y) + z = x + (y + z)$

when:

(i) $x = \frac{1}{2}, y = \frac{2}{3}, z = - \frac{1}{5}$

(ii) $x = \frac{- 2}{5}, y = \frac{4}{3}, z = \frac{- 7}{10}$

(iii) $x = \frac{- 7}{11}, y = \frac{2}{- 5}, z = \frac{- 3}{22}$

(iv) $x = - 2, y = \frac{3}{5}, z = \frac{- 4}{3}$

Discussion

26.	A and B can do piece of work in 18 days; B and C in 24 days and A and C in 36 days. In what time can they do it, all working together?
Answer» A and B can do piece of work in 18 days; B and C in 24 days and A and C in 36 days. In what time can they do it, all working together?

Discussion

27.	If 4 cubes of side 2 cm are joined together side by side to form a cuboid, then the total surface area of cuboid formed is.
Answer» If 4 cubes of side 2 cm are joined together side by side to form a cuboid, then the total surface area of cuboid formed is.

Discussion

28.	The sum of the squares of two numbers is 13 and their product is 6. Find : (i) the sum of the two numbers. (ii) the difference between them.
Answer» The sum of the squares of two numbers is 13 and their product is 6. Find : (i) the sum of the two numbers. (ii) the difference between them.

28.

The sum of the squares of two numbers is 13 and their product is 6. Find : (i) the sum of the two numbers. (ii) the difference between them.

Answer»

The sum of the squares of two numbers is 13 and their product is 6. Find :

(i) the sum of the two numbers.

(ii) the difference between them.

Discussion

29.	Which of hte following numbers are cubes of negative integers. (i) -64 (ii) -1056 (iii) -2197 (iv) -2744 (v) -42875
Answer» Which of hte following numbers are cubes of negative integers. (i) -64 (ii) -1056 (iii) -2197 (iv) -2744 (v) -42875

Discussion

30.	Consider the following calendar. The Nine numbers form a square as shown below. The difference between the product of the diagonal numbers will be equal to
Answer» Consider the following calendar. The Nine numbers form a square as shown below. The difference between the product of the diagonal numbers will be equal to

30.

Consider the following calendar. The Nine numbers form a square as shown below. The difference between the product of the diagonal numbers will be equal to

Answer»

Consider the following calendar.

The Nine numbers form a square as shown below.

The difference between the product of the diagonal numbers will be equal to

Discussion

31.	Solve the following equations and verify your answer : (2x+3)−(5x−7)6x+11=−83
Answer» Solve the following equations and verify your answer : $\frac{(2 x + 3) - (5 x - 7)}{6 x + 11} = - \frac{8}{3}$

31.

Solve the following equations and verify your answer : (2x+3)−(5x−7)6x+11=−83

Answer»

Solve the following equations and verify your answer :

$\frac{(2 x + 3) - (5 x - 7)}{6 x + 11} = - \frac{8}{3}$

Discussion

32.	A pump can fill a tank in 2 hours. Due to a leak in the tank It takes 213 hours to fill the tank. The leak can empty the full tank in (a) 21 hours (b) 7 hours (c) 8 hours (d) 14 hours
Answer» A pump can fill a tank in 2 hours. Due to a leak in the tank It takes $2 \frac{1}{3}$ hours to fill the tank. The leak can empty the full tank in (a) 21 hours (b) 7 hours (c) 8 hours (d) 14 hours

32.

A pump can fill a tank in 2 hours. Due to a leak in the tank It takes 213 hours to fill the tank. The leak can empty the full tank in (a) 21 hours (b) 7 hours (c) 8 hours (d) 14 hours

Answer»

A pump can fill a tank in 2 hours. Due to a leak in the tank It takes $2 \frac{1}{3}$ hours to fill the tank. The leak can empty the full tank in

(a) 21 hours

(b) 7 hours

(c) 8 hours

(d) 14 hours

Discussion

33.	How to find the value of root 5.5
Answer» How to find the value of root 5.5

Discussion

34.	Find the value of k for which the system of equations 6x+7y=0,kx+21y=0 has infinitely many solutions. ____
Answer» Find the value of k for which the system of equations $6 x + 7 y = 0, k x + 21 y = 0$ has infinitely many solutions. ____

Discussion

35.	If one of the angles of a parallelogram is 80°, the other non-adjacent angle is ___degrees.
Answer» If one of the angles of a parallelogram is 80°, the other non-adjacent angle is ___degrees.

Discussion

36.	The value of (6xy+3y)2−(6xy−3y)2 is .
Answer» The value of $(6 x y + 3 y)^{2} - (6 x y - 3 y)^{2}$ is .

Discussion

37.	How many vertices are there in a (i) cuboid (ii) tetrahedron (iii) pentagonal prism (iv) square pyramid ?
Answer» How many vertices are there in a (i) cuboid (ii) tetrahedron (iii) pentagonal prism (iv) square pyramid ?

Discussion

38.	Question 87: Express the given information in scientific notation and then arrange them in descending order of their size. S.N. Name of the Planet Mass(in kg) 1. Mercury 330000000000000000000000 2. Venus 4870000000000000000000000 3. Earth 5980000000000000000000000 4. Mars 642000000000000000000000 5. Jupiter 1900000000000000000000000000 6. Saturn 569000000000000000000000000 7. Uranus 86900000000000000000000000 8. Neptune 102000000000000000000000000 9. Pluto 13100000000000000000000
Answer» Question 87: Express the given information in scientific notation and then arrange them in descending order of their size. $\begin{matrix} S . N . & N a m e o f t h e P l a n e t & M a s s (i n k g) 1. & M e r c u r y & 330000000000000000000000 2. & V e n u s & 4870000000000000000000000 3. & E a r t h & 5980000000000000000000000 4. & M a r s & 642000000000000000000000 5. & J u p i t e r & 1900000000000000000000000000 6. & S a t u r n & 569000000000000000000000000 7. & U r a n u s & 86900000000000000000000000 8. & N e p t u n e & 102000000000000000000000000 9. & P l u t o & 13100000000000000000000 \end{matrix}$

Discussion

39.	What is the term used for an educated guess which is based on logic, fact, or even experience?
Answer» What is the term used for an educated guess which is based on logic, fact, or even experience?

Discussion

40.	Question 1(vii) Use a suitable identity to get each of the following products: (6x−7)(6x+7)(6x-7)(6x+7)(6x−7)(6x+7)
Answer» Question 1(vii) Use a suitable identity to get each of the following products: $(6 x - 7) (6 x + 7)$

Discussion

41.	Write the lower limit, upper limit and mid point of first class in each of the following cases. 1)5-10 10-15
Answer» Write the lower limit, upper limit and mid point of first class in each of the following cases. 1)5-10 10-15

41.

Write the lower limit, upper limit and mid point of first class in each of the following cases. 1)5-10 10-15

Answer»

Write the lower limit, upper limit and mid point of first class in each of the following cases.

1)5-10

10-15

Discussion

42.	Factorise Completely : 8x2y−18y3
Answer» Factorise Completely : $8 x^{2} y - 18 y^{3}$

Discussion

43.	Find the volume of a cube whose surface area is 384 square centimetre
Answer» Find the volume of a cube whose surface area is 384 square centimetre

Discussion

44.	The cross-section of a trough of depth 36 cm is a trapezium ABCD where AB = 50 cm as shown. If the area of ABCD is 2250 cm2, find the length of CD in cm.
Answer» The cross-section of a trough of depth 36 cm is a trapezium ABCD where AB = 50 cm as shown. If the area of ABCD is 2250 $c m^{2}$ , find the length of CD in cm.

44.

The cross-section of a trough of depth 36 cm is a trapezium ABCD where AB = 50 cm as shown. If the area of ABCD is 2250 cm2, find the length of CD in cm.

Answer»

The cross-section of a trough of depth 36 cm is a trapezium ABCD where AB = 50 cm as shown. If the area of ABCD is 2250 $c m^{2}$ , find the length of CD in cm.

Discussion

45.	Question 89 (iv) Factorise the following, using the identity, a2+2ab+b2=(a+b)2 x2+2x+1
Answer» Question 89 (iv) Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ $x^{2} + 2 x + 1$

Discussion

46.	Find the equation of a circle with centre (2,2) and which passes through the point (4,5).
Answer» Find the equation of a circle with centre (2,2) and which passes through the point (4,5).

Discussion

47.	if x^3+1/x^3=110 find x+1/x
Answer» if x^3+1/x^3=110 find x+1/x

Discussion

48.	(−1)−3 is __
Answer» $(- 1)^{- 3}$ is __

Discussion

49.	The number 98754256 is divisible by: Select all that apply.
Answer» The number 98754256 is divisible by: Select all that apply.

49.

The number 98754256 is divisible by: Select all that apply.

Answer»

The number 98754256 is divisible by:

Select all that apply.

Discussion

50.	X square - 36
Answer» X square - 36

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Factorise : 6ab−b2+12ac−2bc

Evaluate : 3√4096

Factorize 8a3−27b3−36a2b+54ab2

According to a survey conducted in a city, 25% were doctors, 30% were engineers, 15% were businessmen and rest were illiterates. Find the number of illiterates if the total population of the city is 5000.

What is the volume of a cuboidal box of length 8xy units, breadth 3xy units and height xy units?

What are the prime factors of 777?

A cyclist moves with a speed of 45 km\hr. How much distance will he cover in 212 hrs.

Calculate the amount on a sum of ₹4000 for 2 years at an interest rate of 10% per annum compounded half-yearly.

Question 59 Locate the points A(1,2), B(4,2) and C(1,4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rectangle ABCD.

A fruit seller sells 4 oranges for ₹3. gaining 50%. The cost price of 4 oranges is ₹ ___.

Question 53 In the following question, fill in the blanks to make the statements true. The value fo 3×10−7 is equal to ___

What is the sentence type? Mridul gave up his favourite sport because his back injury was serious.

Find the maximum possible exterior angle for a regular polygon

A farmer bought 100 hens for ₹4000, sells 20 of them at a gain of 5%. At what gain % must he sell so as to gain 20% on the whole?

Find the cube roots of the following perfect cubes using estimation 592704

The value of x satisfying the equation x−75=135 is___.___

Who among the following is seated exactly between C and E?

Factorise: m4+m2+1.

The second multiple of 108 is

The ratio between the curved surface area and the total surface area of cylinder is 2:5. Then the ratio between the height and radius of cylinder will be:

In cricket, run rate is defined as the number of runs scored divided number of overs bowled. Team 'A' scores 260 runs in 50 overs batting first. The team "B" bat at half the run rate of the team "A" who bat first and plays entire 50 overs. Find the run scored by team "B". ___

Factorise : 1−100a2

Rekha bought a saree for Rs. 1240 and sold it for Rs. 1147. Find her loss and loss percent.

Verify associativity of addition of rational numbers i.e., (x+y)+z=x+(y+z) when: (i) x=12,y=23,z=−15 (ii) x=−25,y=43,z=−710 (iii) x=−711,y=2−5,z=−322 (iv) x=−2,y=35,z=−43

A and B can do piece of work in 18 days; B and C in 24 days and A and C in 36 days. In what time can they do it, all working together?

If 4 cubes of side 2 cm are joined together side by side to form a cuboid, then the total surface area of cuboid formed is.

The sum of the squares of two numbers is 13 and their product is 6. Find : (i) the sum of the two numbers. (ii) the difference between them.

Which of hte following numbers are cubes of negative integers. (i) -64 (ii) -1056 (iii) -2197 (iv) -2744 (v) -42875

Consider the following calendar. The Nine numbers form a square as shown below. The difference between the product of the diagonal numbers will be equal to

Solve the following equations and verify your answer : (2x+3)−(5x−7)6x+11=−83

A pump can fill a tank in 2 hours. Due to a leak in the tank It takes 213 hours to fill the tank. The leak can empty the full tank in (a) 21 hours (b) 7 hours (c) 8 hours (d) 14 hours

How to find the value of root 5.5

Find the value of k for which the system of equations 6x+7y=0,kx+21y=0 has infinitely many solutions. ____

If one of the angles of a parallelogram is 80°, the other non-adjacent angle is ___degrees.

The value of (6xy+3y)2−(6xy−3y)2 is .

How many vertices are there in a (i) cuboid (ii) tetrahedron (iii) pentagonal prism (iv) square pyramid ?

What is the term used for an educated guess which is based on logic, fact, or even experience?

Question 1(vii) Use a suitable identity to get each of the following products: (6x−7)(6x+7)(6x-7)(6x+7)(6x−7)(6x+7)

Write the lower limit, upper limit and mid point of first class in each of the following cases. 1)5-10 10-15

Factorise Completely : 8x2y−18y3

Find the volume of a cube whose surface area is 384 square centimetre

The cross-section of a trough of depth 36 cm is a trapezium ABCD where AB = 50 cm as shown. If the area of ABCD is 2250 cm2, find the length of CD in cm.

Question 89 (iv) Factorise the following, using the identity, a2+2ab+b2=(a+b)2 x2+2x+1

Find the equation of a circle with centre (2,2) and which passes through the point (4,5).

if x^3+1/x^3=110 find x+1/x

(−1)−3 is __

The number 98754256 is divisible by: Select all that apply.

X square - 36

The value of x satisfying the equation x−75=135 is_._