25365 + Interview Questions in Mathematics Page 85 InterviewSolution

4201.	In a rhombus with diagonal 10 cm, each side will be ______ 5 cm.
Answer» In a rhombus with diagonal 10 cm, each side will be ______ 5 cm.

Discussion

4202.	If instead of M, L and T; G, h and T were chosen asfundamental units, then which of the following hasdimensions of mass? \lbrack GPlanck's constant\rbrack Gravitational constant, h
Answer» If instead of M, L and T; G, h and T were chosen asfundamental units, then which of the following hasdimensions of mass? \lbrack GPlanck's constant\rbrack Gravitational constant, h

Discussion

4203.	Question 11Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?
Answer» Question 11 Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?

Discussion

4204.	how to find value by binomial theoram if x value is more than 1
Answer» how to find value by binomial theoram if x value is more than 1

Discussion

4205.	Find using distributivity.85×(1524+108)=?
Answer» Find using distributivity. $\frac{8}{5} \times (\frac{15}{24} + \frac{10}{8}) = ?$

Discussion

4206.	Is 0.3 the multiplicative inverse of 313? Why or why not?
Answer» Is 0.3 the multiplicative inverse of $3 \frac{1}{3}$ ? Why or why not?

Discussion

4207.	Find the perimeter of a rectangle whose length is 28 cm and breadth is 21 cm.
Answer» Find the perimeter of a rectangle whose length is 28 cm and breadth is 21 cm.

Discussion

4208.	Find the measure of interior angle of a regular octagon.
Answer» Find the measure of interior angle of a regular octagon.

Discussion

4209.	Give a suitable name for the following figure. Is it a trapezium?
Answer» Give a suitable name for the following figure. Is it a trapezium?

4209.

Give a suitable name for the following figure. Is it a trapezium?

Answer»

Give a suitable name for the following figure. Is it a trapezium?

Discussion

4210.	A refrigerator is available for Rs. 13,750 including VAT. If the rate of VAT is 10%, find the original cost of refrigerator.
Answer» A refrigerator is available for Rs. 13,750 including VAT. If the rate of VAT is $10 %$ , find the original cost of refrigerator.

Discussion

4211.	A particle is moing on a straight line with speed v=(30t2 + 4t +2).The average speed from t=0 to t=5s is
Answer» A particle is moing on a straight line with speed v=(30t2 + 4t +2).The average speed from t=0 to t=5s is

Discussion

4212.	Find Q in the addition 3 1 Q+ 1 Q 3 5 0 1
Answer» Find Q in the addition $\begin{matrix} 31 Q + 1 Q 3 501 \end{matrix}$

Discussion

4213.	If 783842A when divided by 10 leaves a remainder of 6, then A = ______
Answer» If 783842A when divided by 10 leaves a remainder of 6, then A = ______

Discussion

4214.	Arrange the numbers in the ascending order from bottom to top.
Answer» Arrange the numbers in the ascending order from bottom to top.

Discussion

4215.	A car manufacturer also produces exact scale models of the cars. The fuel tank of the real car has a volume of 64 liters, and that of the model car has a volume of 0.512 liters. If the length of the real car is 5 meters , what is the length of the model car?
Answer» A car manufacturer also produces exact scale models of the cars. The fuel tank of the real car has a volume of 64 liters, and that of the model car has a volume of 0.512 liters. If the length of the real car is 5 meters , what is the length of the model car?

Discussion

4216.	Ratna obtained a loan of Rs 25000 from the Syndicate Bank to renovate her house. If the rate of interest is 8% per annum, what amount will she have to pay to the bank after 2 years to discharge her debt ?
Answer» Ratna obtained a loan of Rs 25000 from the Syndicate Bank to renovate her house. If the rate of interest is $8 %$ per annum, what amount will she have to pay to the bank after 2 years to discharge her debt ?

Discussion

4217.	Cube root of 76 is
Answer» Cube root of $7^{6}$ is

Discussion

4218.	Compound interest on a sum of ₹ 15000 in 2.5 years when interest is compounded half-yearly at the rate 10% per annum is
Answer» Compound interest on a sum of ₹ 15000 in 2.5 years when interest is compounded half-yearly at the rate 10% per annum is

Discussion

4219.	Q. If the length of a rectangular plot is increased by 60%, by what percentage should it’s breadth be increased so that its area may increase by 75%?Q. यदि एक आयताकार भूखंड की लंबाई में 60% की वृद्धि की जाती है, तो इसकी चौड़ाई में कितने प्रतिशत की वृद्धि की जानी चाहिए ताकि इसके क्षेत्रफल में 75% की वृद्धि हो सके?
Answer» Q. If the length of a rectangular plot is increased by $60 %$ , by what percentage should it’s breadth be increased so that its area may increase by $75 %$ ? Q. यदि एक आयताकार भूखंड की लंबाई में $60 %$ की वृद्धि की जाती है, तो इसकी चौड़ाई में कितने प्रतिशत की वृद्धि की जानी चाहिए ताकि इसके क्षेत्रफल में $75 %$ की वृद्धि हो सके?

4219.

Q. If the length of a rectangular plot is increased by 60%, by what percentage should it’s breadth be increased so that its area may increase by 75%?Q. यदि एक आयताकार भूखंड की लंबाई में 60% की वृद्धि की जाती है, तो इसकी चौड़ाई में कितने प्रतिशत की वृद्धि की जानी चाहिए ताकि इसके क्षेत्रफल में 75% की वृद्धि हो सके?

Answer»

Q. If the length of a rectangular plot is increased by $60 %$ , by what percentage should it’s breadth be increased so that its area may increase by $75 %$ ?

Q. यदि एक आयताकार भूखंड की लंबाई में $60 %$ की वृद्धि की जाती है, तो इसकी चौड़ाई में कितने प्रतिशत की वृद्धि की जानी चाहिए ताकि इसके क्षेत्रफल में $75 %$ की वृद्धि हो सके?

Discussion

4220.

Enter the following transactions in sales (journal) book of M/s. Bansal electronics:2014September 01 Sold to Amit Traders as per bill no.4321 20 Pocket Radio 70 per Radio 2, T.V. set, B&W.(6'') 800 Per T.V. 10. Sold to Arun Electronics as per bill no.4351 5 T.V. sets (20'') B&W Rs 3,000 per T.V. 2 T.V. sets (21'') Colour Rs 4,800 per T.V. 22 Sold to Handa Electronics as per bill no.4,399 10 Tape recorders Rs 600 each 5 Walkman Rs 300 each 28 Sold to Harish Trader as per bill no.4430 10 Mixer Juicer Grinder Rs 800 each.

Answer» Enter the following transactions in sales (journal) book of M/s. Bansal electronics:

2014

September

01	Sold to Amit Traders as per bill no.4321
	20 Pocket Radio 70 per Radio
	2, T.V. set, B&W.(6'') 800 Per T.V.
	10. Sold to Arun Electronics as per bill no.4351
	5 T.V. sets (20'') B&W Rs 3,000 per T.V.
	2 T.V. sets (21'') Colour Rs 4,800 per T.V.
22	Sold to Handa Electronics as per bill no.4,399
	10 Tape recorders Rs 600 each
	5 Walkman Rs 300 each
28	Sold to Harish Trader as per bill no.4430
	10 Mixer Juicer Grinder Rs 800 each.

Discussion

4221.	Question 1 In the given question, out of four options, only one is correct. Write the correct answer. Generalised form of a four- digit number abdc is (a) 1000a + 100b + 10c + d (b) 1000a + 100c + 10b + d (c) 1000a + 100b + 10d + c (d) a×b×c×d
Answer» Question 1 In the given question, out of four options, only one is correct. Write the correct answer. Generalised form of a four- digit number abdc is (a) 1000a + 100b + 10c + d (b) 1000a + 100c + 10b + d (c) 1000a + 100b + 10d + c (d) $a \times b \times c \times d$

Discussion

4222.	Which of the following is true in a right-angled triangle?
Answer» Which of the following is true in a right-angled triangle?

Discussion

4223.	A car has to travel 0.121 km to reach from A to B. If the radius of the tyre is 7 cm. How many times will the tire rotate while the car travels from A to B ? (Use π = 227) ___
Answer» A car has to travel 0.121 km to reach from A to B. If the radius of the tyre is 7 cm. How many times will the tire rotate while the car travels from A to B ? (Use π = $\frac{22}{7}$ ) ___

Discussion

4224.	Find the cube of 1+(110). [2 MARKS]
Answer» Find the cube of $1 + (\frac{1}{10})$ . [2 MARKS]

Discussion

4225.	16 The shadow of a tower standing on a level ground is found to be 40m longer when Sun's altitude is 30^° than when it was 60^° . Find the height of the tower.
Answer» 16 The shadow of a tower standing on a level ground is found to be 40m longer when Sun's altitude is 30^° than when it was 60^° . Find the height of the tower.

Discussion

4226.	Suppose ABC is an equilateral triangle. Its base BC is produced to D such that BC = CD. Calculate (i) ∠ACD and (ii) ∠ADC.
Answer» Suppose ABC is an equilateral triangle. Its base BC is produced to D such that BC = CD. Calculate (i) ∠ACD and (ii) ∠ADC.

Discussion

4227.	25-a^2-b^2-2ab
Answer» 25-a^2-b^2-2ab

Discussion

4228.	Is √24/√6 a rational no. because it cannot be expressed in the form p/q
Answer» Is √24/√6 a rational no. because it cannot be expressed in the form p/q

Discussion

4229.	Find the perimeter and area of the quadrilateral ABCD in which AB = 21 cm, ∠BAC = 90°, AC = 20 cm, CD = 42 cm and AD = 34 cm.
Answer» Find the perimeter and area of the quadrilateral ABCD in which AB = 21 cm, ∠BAC = 90°, AC = 20 cm, CD = 42 cm and AD = 34 cm.

Discussion

4230.	If logx/root 8=6 .,find the value of `x`
Answer» If logx/root 8=6 .,find the value of `x`

Discussion

4231.	Question 5(ii)Find five rational numbers between:−32 and 53
Answer» Question 5(ii) Find five rational numbers between: $\frac{- 3}{2} a n d \frac{5}{3}$

Discussion

4232.	Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0.if the equation of one diagonal is11x+7y=9 find the equation of the other diagonal.
Answer» Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0.if the equation of one diagonal is11x+7y=9 find the equation of the other diagonal.

Discussion

4233.	is P ,V and T state variables or state functtions
Answer» is P ,V and T state variables or state functtions

Discussion

4234.	If we have measures of 2 adjacent sides and minimum __ angles, we can construct a unique quadrilateral. (Answer in numbers)
Answer» If we have measures of 2 adjacent sides and minimum __ angles, we can construct a unique quadrilateral. (Answer in numbers)

Discussion

4235.	Find the length of each side of a square whose area is equal to the area of the rectangle of length 98 m and breadth 18 m.
Answer» Find the length of each side of a square whose area is equal to the area of the rectangle of length 98 m and breadth 18 m.

Discussion

4236.	Margo Ltd, issued 1,00,000 equity shares of Rs 10 each at a premium of Rs 2 per share payable on call money, to the public for which they got full subscription. A shareholder holding 2,500 shares failed to pay call money of Rs 5 per share, and his shares were forfeited. Later on 70% of the forfeited shares were re-issued to Mr. Shyam for Rs 8 per share as fully paid up. Find out the capital reserve and also pass the necessary Journal entries.
Answer» Margo Ltd, issued 1,00,000 equity shares of Rs 10 each at a premium of Rs 2 per share payable on call money, to the public for which they got full subscription. A shareholder holding 2,500 shares failed to pay call money of Rs 5 per share, and his shares were forfeited. Later on 70% of the forfeited shares were re-issued to Mr. Shyam for Rs 8 per share as fully paid up. Find out the capital reserve and also pass the necessary Journal entries.

Discussion

4237.	The value of (64.328)2−(35.672)228.656=
Answer» The value of $\frac{(64.328)^{2} - (35.672)^{2}}{28.656} =$

Discussion

4238.	2(\sqrt2 +\sqrt6 )÷3\sqrt{2+\sqrt3} +\sqrt{2+\sqrt3} +\sqrt{2 -\sqrt3} i
Answer» 2(\sqrt2 +\sqrt6 )÷3\sqrt{2+\sqrt3} +\sqrt{2+\sqrt3} +\sqrt{2 -\sqrt3} i

Discussion

4239.	Question 13 Find and correct the errors in the statement: (2a+3b)(a−b)=2a2−3b2
Answer» Question 13 Find and correct the errors in the statement: $(2 a + 3 b) (a - b) = 2 a^{2} - 3 b^{2}$

Discussion

4240.	Match the following: (i) 425 × 136 = 425 × (6 + 30 + 100) (a) Commutativity under multiplication (ii) 2 × 49 × 50 = 2 × 50 × 49 (b) Commutativity under addition (iii) 80 + 2005 + 20 = 80 + 20 + 2005 (c) Distributivity of multiplication over addition
Answer» Match the following: (i) 425 × 136 = 425 × (6 + 30 + 100) (a) Commutativity under multiplication (ii) 2 × 49 × 50 = 2 × 50 × 49 (b) Commutativity under addition (iii) 80 + 2005 + 20 = 80 + 20 + 2005 (c) Distributivity of multiplication over addition

4240.

Match the following: (i) 425 × 136 = 425 × (6 + 30 + 100) (a) Commutativity under multiplication (ii) 2 × 49 × 50 = 2 × 50 × 49 (b) Commutativity under addition (iii) 80 + 2005 + 20 = 80 + 20 + 2005 (c) Distributivity of multiplication over addition

Answer»

Match the following:

(i) 425 ×
136 = 425 × (6 + 30 + 100)

(a)
Commutativity under multiplication

(ii) 2 × 49 ×
50 = 2 × 50 ×
49

(b)
Commutativity under addition

(iii) 80 + 2005 + 20 = 80 + 20 + 2005

(c)
Distributivity of multiplication over addition

Discussion

4241.	unity such that a(b+c-a)÷\log a =b(c+a-b) ÷ \log b =c(a+b-c) ÷ \log c, to prove a^{b }× b^{a = }b^{c× }c^{b }=c^a × a^{
Answer» unity such that a(b+c-a)÷\log a =b(c+a-b) ÷ \log b =c(a+b-c) ÷ \log c, to prove a^{b }× b^{a = }b^{c× }c^{b }=c^a × a^{

Discussion

4242.	AB+ AB+ B BB A = ___ ; B = ___
Answer» $\begin{matrix} A B + A B + B B B \end{matrix}$ A = ___ ; B = ___

4242.

AB+ AB+ B BB A = _ ; B = _

Answer»

$\begin{matrix} A B + A B + B B B \end{matrix}$

A = ___ ; B = ___

Discussion

4243.	If (x, y) are the coordinates of any point P, at the same time if (x, y) = (y, x), which of following options must hold true?
Answer» If (x, y) are the coordinates of any point P, at the same time if (x, y) = (y, x), which of following options must hold true?

Discussion

4244.	The midpoint of the line segment joining the point (−3,−3) to the origin is
Answer» The midpoint of the line segment joining the point $(- 3, - 3)$ to the origin is

Discussion

4245.	Factorise : (i) x2+8x+16 (ii) 4a2−4a+1
Answer» Factorise : $(i) x^{2} + 8 x + 16$ $(i i) 4 a^{2} - 4 a + 1$

Discussion

4246.	Find the amount and the compound interest on Rs. 24000 for 2 years at 10% per annum compounded yearly.
Answer» Find the amount and the compound interest on $R s . 24000$ for $2$ years at $10 %$ per annum compounded yearly.

Discussion

4247.	Question 3(iv)Find the following squares by using identities: (23m+32n)2
Answer» Question 3(iv) Find the following squares by using identities: ${(\frac{2}{3} m + \frac{3}{2} n)}^{2}$

Discussion

4248.	Question 55(vii) Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow. Calculate the average speed of the man from A to B and B to C.
Answer» Question 55(vii) Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow. Calculate the average speed of the man from A to B and B to C.

Discussion

4249.	Question 3(i) For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph. How high was Plant A after (i) 2 weeks (ii) 3weeks?
Answer» Question 3(i) For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph. How high was Plant A after (i) 2 weeks (ii) 3weeks?

Discussion

4250.	Question 2 ABCD is a trapezium in which AB∥ DC and ∠A=∠B=45∘. Find angles C and D of the trapezium.
Answer» Question 2 ABCD is a trapezium in which AB∥ DC and $∠ A = ∠ B = 45^{\circ}$ . Find angles C and D of the trapezium.

Discussion

Explore topic-wise InterviewSolutions in .

In a rhombus with diagonal 10 cm, each side will be ______ 5 cm.

If instead of M, L and T; G, h and T were chosen asfundamental units, then which of the following hasdimensions of mass? \lbrack GPlanck's constant\rbrack Gravitational constant, h

Question 11Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?

how to find value by binomial theoram if x value is more than 1

Find using distributivity.85×(1524+108)=?

Is 0.3 the multiplicative inverse of 313? Why or why not?

Find the perimeter of a rectangle whose length is 28 cm and breadth is 21 cm.

Find the measure of interior angle of a regular octagon.

Give a suitable name for the following figure. Is it a trapezium?

A refrigerator is available for Rs. 13,750 including VAT. If the rate of VAT is 10%, find the original cost of refrigerator.

A particle is moing on a straight line with speed v=(30t2 + 4t +2).The average speed from t=0 to t=5s is

Find Q in the addition 3 1 Q+ 1 Q 3 5 0 1

If 783842A when divided by 10 leaves a remainder of 6, then A = ______

Arrange the numbers in the ascending order from bottom to top.

A car manufacturer also produces exact scale models of the cars. The fuel tank of the real car has a volume of 64 liters, and that of the model car has a volume of 0.512 liters. If the length of the real car is 5 meters , what is the length of the model car?

Ratna obtained a loan of Rs 25000 from the Syndicate Bank to renovate her house. If the rate of interest is 8% per annum, what amount will she have to pay to the bank after 2 years to discharge her debt ?

Cube root of 76 is

Compound interest on a sum of ₹ 15000 in 2.5 years when interest is compounded half-yearly at the rate 10% per annum is

Question 1 In the given question, out of four options, only one is correct. Write the correct answer. Generalised form of a four- digit number abdc is (a) 1000a + 100b + 10c + d (b) 1000a + 100c + 10b + d (c) 1000a + 100b + 10d + c (d) a×b×c×d

Which of the following is true in a right-angled triangle?

A car has to travel 0.121 km to reach from A to B. If the radius of the tyre is 7 cm. How many times will the tire rotate while the car travels from A to B ? (Use π = 227) ___

Find the cube of 1+(110). [2 MARKS]

16 The shadow of a tower standing on a level ground is found to be 40m longer when Sun's altitude is 30^° than when it was 60^° . Find the height of the tower.

Suppose ABC is an equilateral triangle. Its base BC is produced to D such that BC = CD. Calculate (i) ∠ACD and (ii) ∠ADC.

25-a^2-b^2-2ab

Is √24/√6 a rational no. because it cannot be expressed in the form p/q

Find the perimeter and area of the quadrilateral ABCD in which AB = 21 cm, ∠BAC = 90°, AC = 20 cm, CD = 42 cm and AD = 34 cm.

If logx/root 8=6 .,find the value of `x`

Question 5(ii)Find five rational numbers between:−32 and 53

Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0.if the equation of one diagonal is11x+7y=9 find the equation of the other diagonal.

is P ,V and T state variables or state functtions

If we have measures of 2 adjacent sides and minimum __ angles, we can construct a unique quadrilateral. (Answer in numbers)

Find the length of each side of a square whose area is equal to the area of the rectangle of length 98 m and breadth 18 m.

The value of (64.328)2−(35.672)228.656=

2(\sqrt2 +\sqrt6 )÷3\sqrt{2+\sqrt3} +\sqrt{2+\sqrt3} +\sqrt{2 -\sqrt3} i

Question 13 Find and correct the errors in the statement: (2a+3b)(a−b)=2a2−3b2

Match the following: (i) 425 × 136 = 425 × (6 + 30 + 100) (a) Commutativity under multiplication (ii) 2 × 49 × 50 = 2 × 50 × 49 (b) Commutativity under addition (iii) 80 + 2005 + 20 = 80 + 20 + 2005 (c) Distributivity of multiplication over addition

unity such that a(b+c-a)÷\log a =b(c+a-b) ÷ \log b =c(a+b-c) ÷ \log c, to prove a^{b }× b^{a = }b^{c× }c^{b }=c^a × a^{

AB+ AB+ B BB A = ___ ; B = ___

If (x, y) are the coordinates of any point P, at the same time if (x, y) = (y, x), which of following options must hold true?

The midpoint of the line segment joining the point (−3,−3) to the origin is

Factorise : (i) x2+8x+16 (ii) 4a2−4a+1

Find the amount and the compound interest on Rs. 24000 for 2 years at 10% per annum compounded yearly.

Question 3(iv)Find the following squares by using identities: (23m+32n)2

Question 55(vii) Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow. Calculate the average speed of the man from A to B and B to C.

Question 3(i) For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph. How high was Plant A after (i) 2 weeks (ii) 3weeks?

Question 2 ABCD is a trapezium in which AB∥ DC and ∠A=∠B=45∘. Find angles C and D of the trapezium.

AB+ AB+ B BB A = _ ; B = _