25365 + Interview Questions in Mathematics

1.	Question 124(ii) Name the property used in each of the following: −23×[34+−12]=[−23×34]+[−23×−12]
Answer» Question 124(ii) Name the property used in each of the following: $\frac{- 2}{3} \times [\frac{3}{4} + \frac{- 1}{2}] = [\frac{- 2}{3} \times \frac{3}{4}] + [\frac{- 2}{3} \times \frac{- 1}{2}]$

Discussion

2.	How to draw a 105-degree angle?
Answer» How to draw a 105-degree angle?

Discussion

3.	Tick (✓) the correct answer in each of the following: (2x+3)(3x−1)=? (a) (6x2+8x−3) (b) (6x2+7x−3) (c) 6x2−7x−3 (d) (6x2−7x+3)
Answer» Tick $(✓)$ the correct answer in each of the following: $(2 x + 3) (3 x - 1) = ?$ (a) $(6 x^{2} + 8 x - 3)$ (b) $(6 x^{2} + 7 x - 3)$ (c) $6 x^{2} - 7 x - 3$ (d) $(6 x^{2} - 7 x + 3)$

3.

Tick (✓) the correct answer in each of the following: (2x+3)(3x−1)=? (a) (6x2+8x−3) (b) (6x2+7x−3) (c) 6x2−7x−3 (d) (6x2−7x+3)

Answer»

Tick $(✓)$ the correct answer in each of the following:
$(2 x + 3) (3 x - 1) = ?$

(a) $(6 x^{2} + 8 x - 3)$
(b) $(6 x^{2} + 7 x - 3)$
(c) $6 x^{2} - 7 x - 3$
(d) $(6 x^{2} - 7 x + 3)$

Discussion

4.	Question 11 Meenakshee cycles to her school at an average speed of 12 km/h and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be (a)203km/h (b)16 km/h (c)20 km/h (d) 15 km/h
Answer» Question 11 Meenakshee cycles to her school at an average speed of 12 km/h and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be $(a) \frac{20}{3} k m / h$ (b)16 km/h (c)20 km/h (d) 15 km/h

4.

Question 11 Meenakshee cycles to her school at an average speed of 12 km/h and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be (a)203km/h (b)16 km/h (c)20 km/h (d) 15 km/h

Answer»

Question 11

Meenakshee cycles to her school at an average speed of 12 km/h and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be
$(a) \frac{20}{3} k m / h$
(b)16 km/h
(c)20 km/h
(d) 15 km/h

Discussion

5.	9x/7-6x=15
Answer» 9x/7-6x=15

Discussion

6.	Shamshad Ali buys a scooter for Rs. 22000. He pays Rs. 4000 cash and agrees to pay the balance in annual instalment of Rs. 1000 plus 10% interest on the unpaid amount. How mcuh will the scooter cost him ?
Answer» Shamshad Ali buys a scooter for Rs. 22000. He pays Rs. 4000 cash and agrees to pay the balance in annual instalment of Rs. 1000 plus $10 %$ interest on the unpaid amount. How mcuh will the scooter cost him ?

Discussion

7.	Factorise: a3−27a3
Answer» Factorise: $a^{3} - \frac{27}{a^{3}}$

7.

Factorise: a3−27a3

Answer»

Factorise:

$a^{3} - \frac{27}{a^{3}}$

Discussion

8.	Tea set was not for rupees 528 after getting a discount of 12% on its marked price .find the Marked price of the tea set
Answer» Tea set was not for rupees 528 after getting a discount of 12% on its marked price .find the Marked price of the tea set

Discussion

9.	Square has all the properties of
Answer» Square has all the properties of

Discussion

10.	A family went to a restaurant for dinner. The bill amounting to Rs 3000 was handed which was not inclusive of the 4% Value Added Tax (VAT). The new bill would be:
Answer» A family went to a restaurant for dinner. The bill amounting to Rs 3000 was handed which was not inclusive of the 4% Value Added Tax (VAT). The new bill would be:

Discussion

11.	Y=k(x+1) State that is it direct and indirect proportional
Answer» Y=k(x+1) State that is it direct and indirect proportional

Discussion

12.	Question 2(i) A group of 360 people were asked to vote for their favourite season from the seasons rainy, winter and summer. Which season got the most votes?
Answer» Question 2(i) A group of 360 people were asked to vote for their favourite season from the seasons rainy, winter and summer. Which season got the most votes?

Discussion

13.	Following pictograph shows the number of apples consumed in a family. How many apples are consumed in all?
Answer» Following pictograph shows the number of apples consumed in a family. How many apples are consumed in all?

13.

Following pictograph shows the number of apples consumed in a family. How many apples are consumed in all?

Answer»

Following pictograph shows the number of apples consumed in a family.

How many apples are consumed in all?

Discussion

14.	In a triangle the difference between the lengths of two sides is greater than the third side. Is this statement valid?
Answer» In a triangle the difference between the lengths of two sides is greater than the third side. Is this statement valid?

Discussion

15.	Ranjan got 45% marks in the first paper and 70% in the second paper how much percent should he get in the third paper so as to get 60% as overal score?
Answer» Ranjan got 45% marks in the first paper and 70% in the second paper how much percent should he get in the third paper so as to get 60% as overal score?

Discussion

16.	Asha buys a cycle for ₹720 and sold it for ₹698.40 . find the loss and loss %.
Answer» Asha buys a cycle for ₹720 and sold it for ₹698.40 . find the loss and loss %.

Discussion

17.	Find the value of ‘k’ if x−1 is a factor of P(x) = 4x3 + x2–3x+k.
Answer» Find the value of ‘k’ if $x - 1$ is a factor of P(x) = 4 $x^{3}$ + $x^{2} - 3 x + k$ .

Discussion

18.	A quadrilateral ABCD has AB = 7 cm, BC = 4 cm, CD = 5 cm, and . To construct the quadrilateral ABCD, the first step is to draw AB = 7 cm. Which of the following will be the second step?
Answer» A quadrilateral ABCD has AB = 7 cm, BC = 4 cm, CD = 5 cm, and . To construct the quadrilateral ABCD, the first step is to draw AB = 7 cm. Which of the following will be the second step?

Discussion

19.	Reduce the given algebraic fraction into the lowest form: (a6b6 + a5b5)a3b3, if x= ab
Answer» Reduce the given algebraic fraction into the lowest form: $\frac{(a^{6} b^{6} + a^{5} b^{5})}{a^{3} b^{3}}$ , if x= $a b$

Discussion

20.	A man borrows Rs. 5,000 at 12 percent compound interest payable every six months. He repays Rs. 1,800 at the end of every six months. Calculate the third payment he has to make at the end of 18 months in order to clear the entire loan.
Answer» A man borrows Rs. 5,000 at 12 percent compound interest payable every six months. He repays Rs. 1,800 at the end of every six months. Calculate the third payment he has to make at the end of 18 months in order to clear the entire loan.

Discussion

21.	Why is a rectangle a convex quadrilateral?
Answer» Why is a rectangle a convex quadrilateral?

Discussion

22.	If 5z + 27 = 3z + 33, find the value of Z? [2 MARKS]
Answer» If 5z + 27 = 3z + 33, find the value of Z? [2 MARKS]

Discussion

23.	What are different types of numbers ?
Answer» What are different types of numbers ?

Discussion

24.	If 74z5 is a multiple of 3, where z is a single digit number, what might be the values of z?
Answer» If 74z5 is a multiple of 3, where z is a single digit number, what might be the values of z?

Discussion

25.	x−1yz2(xy−2z+x2yz−2) = _____
Answer» $x^{- 1} y z^{2} (x y^{- 2} z + x^{2} y z^{- 2})$ = _____

Discussion

26.	The diagram shows a triangle ABC. Determine the image of the point C under a reflection in the line AB
Answer» The diagram shows a triangle ABC. Determine the image of the point C under a reflection in the line AB

Discussion

27.	Evaluate : Using expansion of (a+b)2 or (a−b)2 (i) (208)2 (ii) (92)2 (iii) (415)2 (iv) (188)2 (v) (9.4)2 (vi) (20.7)2
Answer» Evaluate : Using expansion of $(a + b)^{2} o r (a - b)^{2}$ (i) $(208)^{2}$ (ii) $(92)^{2}$ (iii) $(415)^{2}$ (iv) $(188)^{2}$ (v) $(9.4)^{2}$ (vi) $(20.7)^{2}$

27.

Evaluate : Using expansion of (a+b)2 or (a−b)2 (i) (208)2 (ii) (92)2 (iii) (415)2 (iv) (188)2 (v) (9.4)2 (vi) (20.7)2

Answer»

Evaluate :

Using expansion of $(a + b)^{2} o r (a - b)^{2}$

(i) $(208)^{2}$

(ii) $(92)^{2}$

(iii) $(415)^{2}$

(iv) $(188)^{2}$

(v) $(9.4)^{2}$

(vi) $(20.7)^{2}$

Discussion

28.	The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the end of the year 2000.
Answer» The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the end of the year 2000.

Discussion

29.	Question 19 In the given question, fill in the blanks to make the statement true. 20x3 is a multiple of 3, if the digit x is ___ or ___ or ___.
Answer» Question 19 In the given question, fill in the blanks to make the statement true. 20x3 is a multiple of 3, if the digit x is ___ or ___ or ___.

Discussion

30.	Question 42 When a die is rolled, the six possible outcomes are ___.
Answer» Question 42 When a die is rolled, the six possible outcomes are ___.

30.

Question 42 When a die is rolled, the six possible outcomes are ___.

Answer»

Question 42

When a die is rolled, the six possible outcomes are ___.

Discussion

31.	The previous question is an example of: (The graph is shown again for your convenience)
Answer» The previous question is an example of: (The graph is shown again for your convenience)

Discussion

32.	Question 86 (xviii) Using suitable identities, evaluate the following: (9.7)2−(0.3)2
Answer» Question 86 (xviii) Using suitable identities, evaluate the following: $(9.7)^{2} - (0.3)^{2}$

32.

Question 86 (xviii) Using suitable identities, evaluate the following: (9.7)2−(0.3)2

Answer»

Question 86 (xviii)

Using suitable identities, evaluate the following:

$(9.7)^{2} - (0.3)^{2}$

Discussion

33.	The lateral surface area of a cylinder of length 14 m is 220m2. Find the volume of the cylinder.
Answer» The lateral surface area of a cylinder of length 14 m is $220 m^{2}$ . Find the volume of the cylinder.

Discussion

34.	Kamala borrowed ₹26,400 from a bank to buy a scooter at a rate of 15% interest p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?
Answer» Kamala borrowed ₹26,400 from a bank to buy a scooter at a rate of 15% interest p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?

Discussion

35.	Find the two digit number such that it is an even number and when divided by 3 leaves remainder of 2 and lies between 80 and 90.
Answer» Find the two digit number such that it is an even number and when divided by 3 leaves remainder of 2 and lies between 80 and 90.

Discussion

36.	How to find an angle on equilateral angle by easy way
Answer» How to find an angle on equilateral angle by easy way

Discussion

37.	Question 4 How many sides does a regular polygon have if each of its interior angles is 165∘?
Answer» Question 4 How many sides does a regular polygon have if each of its interior angles is $165^{\circ}$ ?

Discussion

38.	Pawan is a cashier in a bank. He has currency notes of denominations 1000, 500 and 100 respectively. The ratio of the number of these notes is 2:3:5. If the total cash with Pawan is Rs. 5,00,000, then how many notes of Rs. 1000 denomination does he have?
Answer» Pawan is a cashier in a bank. He has currency notes of denominations 1000, 500 and 100 respectively. The ratio of the number of these notes is 2:3:5. If the total cash with Pawan is Rs. 5,00,000, then how many notes of Rs. 1000 denomination does he have?

Discussion

39.	Six people - P, Q, R, S, T and U - sit around a circular table, not necessarily in the same order. Q and T sit opposite to each other. Does R sit opposite to S? I. If R and T interchange their positions, then T will be to the immediate left of Q. II. If P and Q interchange their positions, then Q will be to the immediate left of T.
Answer» Six people - P, Q, R, S, T and U - sit around a circular table, not necessarily in the same order. Q and T sit opposite to each other. Does R sit opposite to S? I. If R and T interchange their positions, then T will be to the immediate left of Q. II. If P and Q interchange their positions, then Q will be to the immediate left of T.

Discussion

40.	The least number that must be multiplied by 72 to make it a cube number is:
Answer» The least number that must be multiplied by 72 to make it a cube number is:

Discussion

41.	Question 2(a) Find the number from each of the following expanded forms: a) 8×104+6×103+0×102+4×101+5×100
Answer» Question 2(a) Find the number from each of the following expanded forms: a) $8 \times 10^{4} + 6 \times 10^{3} + 0 \times 10^{2} + 4 \times 10^{1} + 5 \times 10^{0}$

Discussion

42.	Find the surface area of a cube whose volume is (i) 343 m3 (ii) 216 dm3
Answer» Find the surface area of a cube whose volume is (i) $343 m^{3}$ (ii) $216 d m^{3}$

Discussion

43.	What will be the units digit of the squares of the following numbers? (i) 52 (ii) 977 (iii) 4583 (iv) 78367 (v) 52698 (vi) 99880 (vii) 12796 (viii) 55555 (ix) 53924
Answer» What will be the units digit of the squares of the following numbers? (i) 52 (ii) 977 (iii) 4583 (iv) 78367 (v) 52698 (vi) 99880 (vii) 12796 (viii) 55555 (ix) 53924

Discussion

44.	X^2-y^2/100
Answer» X^2-y^2/100

Discussion

45.	The curved surface area of a cylinder is 4400cm2 and the circumference of its base is 110 cm. Find the volume of the cylinder.
Answer» The curved surface area of a cylinder is $4400 c m^{2}$ and the circumference of its base is 110 cm. Find the volume of the cylinder.

Discussion

46.	If x7y5 is exactly divisible by 3, then the least value of (x + y) is (a) 6 (b) 0 (c) 4 (d) 3
Answer» If x7y5 is exactly divisible by 3, then the least value of (x + y) is (a) 6 (b) 0 (c) 4 (d) 3

46.

If x7y5 is exactly divisible by 3, then the least value of (x + y) is (a) 6 (b) 0 (c) 4 (d) 3

Answer»

If x7y5 is exactly divisible by 3, then the least value of (x + y) is

(a) 6

(b) 0

(c) 4

(d) 3

Discussion

47.	A car is travelling at a uniform speed of 75 km/hr. How much distance will it cover in 20 minutes ? (a) 25 km (b) 15 km (c) 30 km (d) 20 km
Answer» A car is travelling at a uniform speed of $75$ km/hr. How much distance will it cover in $20$ minutes ? (a) $25$ km (b) $15$ km (c) $30$ km (d) $20$ km

47.

A car is travelling at a uniform speed of 75 km/hr. How much distance will it cover in 20 minutes ? (a) 25 km (b) 15 km (c) 30 km (d) 20 km

Answer»

A car is travelling at a uniform speed of $75$ km/hr. How much distance will it cover in $20$ minutes ?

(a) $25$ km (b) $15$ km (c) $30$ km (d) $20$ km

Discussion

48.	Question 2(vi) State True or False. The cube of a two digit number may have seven or more digits.
Answer» Question 2(vi) State True or False. The cube of a two digit number may have seven or more digits.

48.

Question 2(vi) State True or False. The cube of a two digit number may have seven or more digits.

Answer»

Question 2(vi)

State True or False.
The cube of a two digit number may have seven or more digits.

Discussion

49.	The ratio of the sides of a triangle are 3:5:7 and its perimetre is 45 cm. What are the length of the sides?
Answer» The ratio of the sides of a triangle are 3:5:7 and its perimetre is 45 cm. What are the length of the sides?

Discussion

50.	If 16 toys cost rupees 48 find the cost of 48 toys.
Answer» If 16 toys cost rupees 48 find the cost of 48 toys.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 124(ii) Name the property used in each of the following: −23×[34+−12]=[−23×34]+[−23×−12]

How to draw a 105-degree angle?

Tick (✓) the correct answer in each of the following: (2x+3)(3x−1)=? (a) (6x2+8x−3) (b) (6x2+7x−3) (c) 6x2−7x−3 (d) (6x2−7x+3)

Question 11 Meenakshee cycles to her school at an average speed of 12 km/h and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be (a)203km/h (b)16 km/h (c)20 km/h (d) 15 km/h

9x/7-6x=15

Shamshad Ali buys a scooter for Rs. 22000. He pays Rs. 4000 cash and agrees to pay the balance in annual instalment of Rs. 1000 plus 10% interest on the unpaid amount. How mcuh will the scooter cost him ?

Factorise: a3−27a3

Tea set was not for rupees 528 after getting a discount of 12% on its marked price .find the Marked price of the tea set

Square has all the properties of

A family went to a restaurant for dinner. The bill amounting to Rs 3000 was handed which was not inclusive of the 4% Value Added Tax (VAT). The new bill would be:

Y=k(x+1) State that is it direct and indirect proportional

Question 2(i) A group of 360 people were asked to vote for their favourite season from the seasons rainy, winter and summer. Which season got the most votes?

Following pictograph shows the number of apples consumed in a family. How many apples are consumed in all?

In a triangle the difference between the lengths of two sides is greater than the third side. Is this statement valid?

Ranjan got 45% marks in the first paper and 70% in the second paper how much percent should he get in the third paper so as to get 60% as overal score?

Asha buys a cycle for ₹720 and sold it for ₹698.40 . find the loss and loss %.

Find the value of ‘k’ if x−1 is a factor of P(x) = 4x3 + x2–3x+k.

A quadrilateral ABCD has AB = 7 cm, BC = 4 cm, CD = 5 cm, and . To construct the quadrilateral ABCD, the first step is to draw AB = 7 cm. Which of the following will be the second step?

Reduce the given algebraic fraction into the lowest form: (a6b6 + a5b5)a3b3, if x= ab

A man borrows Rs. 5,000 at 12 percent compound interest payable every six months. He repays Rs. 1,800 at the end of every six months. Calculate the third payment he has to make at the end of 18 months in order to clear the entire loan.

Why is a rectangle a convex quadrilateral?

If 5z + 27 = 3z + 33, find the value of Z? [2 MARKS]

What are different types of numbers ?

If 74z5 is a multiple of 3, where z is a single digit number, what might be the values of z?

x−1yz2(xy−2z+x2yz−2) = _____

The diagram shows a triangle ABC. Determine the image of the point C under a reflection in the line AB

Evaluate : Using expansion of (a+b)2 or (a−b)2 (i) (208)2 (ii) (92)2 (iii) (415)2 (iv) (188)2 (v) (9.4)2 (vi) (20.7)2

The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the end of the year 2000.

Question 19 In the given question, fill in the blanks to make the statement true. 20x3 is a multiple of 3, if the digit x is ___ or ___ or ___.

Question 42 When a die is rolled, the six possible outcomes are ___.

The previous question is an example of: (The graph is shown again for your convenience)

Question 86 (xviii) Using suitable identities, evaluate the following: (9.7)2−(0.3)2

The lateral surface area of a cylinder of length 14 m is 220m2. Find the volume of the cylinder.

Kamala borrowed ₹26,400 from a bank to buy a scooter at a rate of 15% interest p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?

Find the two digit number such that it is an even number and when divided by 3 leaves remainder of 2 and lies between 80 and 90.

How to find an angle on equilateral angle by easy way

Question 4 How many sides does a regular polygon have if each of its interior angles is 165∘?

Pawan is a cashier in a bank. He has currency notes of denominations 1000, 500 and 100 respectively. The ratio of the number of these notes is 2:3:5. If the total cash with Pawan is Rs. 5,00,000, then how many notes of Rs. 1000 denomination does he have?

The least number that must be multiplied by 72 to make it a cube number is:

Question 2(a) Find the number from each of the following expanded forms: a) 8×104+6×103+0×102+4×101+5×100

Find the surface area of a cube whose volume is (i) 343 m3 (ii) 216 dm3

What will be the units digit of the squares of the following numbers? (i) 52 (ii) 977 (iii) 4583 (iv) 78367 (v) 52698 (vi) 99880 (vii) 12796 (viii) 55555 (ix) 53924

X^2-y^2/100

The curved surface area of a cylinder is 4400cm2 and the circumference of its base is 110 cm. Find the volume of the cylinder.

If x7y5 is exactly divisible by 3, then the least value of (x + y) is (a) 6 (b) 0 (c) 4 (d) 3

A car is travelling at a uniform speed of 75 km/hr. How much distance will it cover in 20 minutes ? (a) 25 km (b) 15 km (c) 30 km (d) 20 km

Question 2(vi) State True or False. The cube of a two digit number may have seven or more digits.

The ratio of the sides of a triangle are 3:5:7 and its perimetre is 45 cm. What are the length of the sides?

If 16 toys cost rupees 48 find the cost of 48 toys.

Question 19 In the given question, fill in the blanks to make the statement true. 20x3 is a multiple of 3, if the digit x is _ or _ or ___.