19743 + Interview Questions in Mathematics Page 240 InterviewSolution

11951.	Match these parts of laws of exponents with their equivalent counterparts.
Answer» Match these parts of laws of exponents with their equivalent counterparts.

Discussion

11952.	A handloom weaver takes 6 hours 20 minutes 30 seconds and 5 hours 50 minutes 45 seconds to weave two silk sarees. What is the total time to weave the two silk sarees ?
Answer» A handloom weaver takes 6 hours 20 minutes 30 seconds and 5 hours 50 minutes 45 seconds to weave two silk sarees. What is the total time to weave the two silk sarees ?

Discussion

11953.	The sum of 3x+9y+7z and 6x+2y is .
Answer» The sum of $3 x + 9 y + 7 z$ and $6 x + 2 y$ is .

Discussion

11954.	Decide whether set A and B are equal sets. Give reason for your answer. A = Even prime numbersB = { x \| 7 x -1 = 13}
Answer» Decide whether set A and B are equal sets. Give reason for your answer. A = Even prime numbers B = { x \| 7 x -1 = 13}

Discussion

11955.	Solve the following problems:A Scooter covers a certain distance at a speed 40km/hr in 6 hours. How long does it take to travel the same distance at the speed of 60 km/hr?
Answer» Solve the following problems: A Scooter covers a certain distance at a speed 40km/hr in 6 hours. How long does it take to travel the same distance at the speed of 60 km/hr?

11955.

Solve the following problems:A Scooter covers a certain distance at a speed 40km/hr in 6 hours. How long does it take to travel the same distance at the speed of 60 km/hr?

Answer»

Solve the following problems:

A Scooter covers a certain distance at a speed 40km/hr in 6 hours. How long does it take to travel the same distance at the speed of 60 km/hr?

Discussion

11956.	Prove that the area of a trapezium ABCD = 12× (AB + DC) × h square units.
Answer» Prove that the area of a trapezium ABCD = $\frac{1}{2}$ × (AB + DC) × h square units.

Discussion

11957.	x2 - 2x + 3 - A = -3x2 + 4x - 9, then A =
Answer» x² - 2x + 3 - A = -3x² + 4x - 9, then A =

Discussion

11958.	5. Given trapezium ABCD.AB//CD.A and B are complements.Given AB=20,CD=18.Evaluate FM where F bisect AB,M bisect CD
Answer» 5. Given trapezium ABCD.AB//CD.A and B are complements.Given AB=20,CD=18.Evaluate FM where F bisect AB,M bisect CD

Discussion

11959.	In the given figure, BD = AD and DC = AC, If ∠ABC=35∘, then x∘ = ___.
Answer» In the given figure, BD = AD and DC = AC, If $∠ A B C = 35^{\circ},$ then $x^{\circ}$ = ___.

Discussion

11960.	The area of a rectangle 144 cm long is same as that of a square of side 84 cm. The width of the rectangle is(a) 7 cm (b) 14 cm (c) 49 cm (d) 28 cm
Answer» The area of a rectangle 144 cm long is same as that of a square of side 84 cm. The width of the rectangle is (a) 7 cm (b) 14 cm (c) 49 cm (d) 28 cm

Discussion

11961.	17 Prove that altitudes of a triangle are concurrent
Answer» 17 Prove that altitudes of a triangle are concurrent

Discussion

11962.	If }\operatorname{log}_{12}18=a and }\operatorname{log}_{24}54=b, then find ab }+5(a-b)
Answer» If }\operatorname{log}_{12}18=a and }\operatorname{log}_{24}54=b, then find ab }+5(a-b)

Discussion

11963.	36 find the sum of products of the ten numbers +_1,+_2,+_3,+_4,+_5 taking two at a time.(+_ indicates plus or minus sign)
Answer» 36 find the sum of products of the ten numbers +_1,+_2,+_3,+_4,+_5 taking two at a time.(+_ indicates plus or minus sign)

Discussion

11964.	Question 89 (i) Factorise the following, using the identity, a2+2ab+b2=(a+b)2 x2+6x+9
Answer» Question 89 (i) Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ $x^{2} + 6 x + 9$

Discussion

11965.	In an isosceles triangle, which of the following is not true:
Answer» In an isosceles triangle, which of the following is not true:

Discussion

11966.	The angle is impossible to draw using the set squares given in the geometry box.
Answer» The angle is impossible to draw using the set squares given in the geometry box.

Discussion

11967.	The population of a town increased by 10%, then by 20% and then decreased by 30% due to migrattion. the final population is what percent of the original?
Answer» The population of a town increased by 10%, then by 20% and then decreased by 30% due to migrattion. the final population is what percent of the original?

Discussion

11968.	If 3 is multiplied 'a' times with itself and equals 81, then a = __
Answer» If 3 is multiplied 'a' times with itself and equals 81, then a = __

Discussion

11969.	A goldsmith can choose between 3 metals A, B or C to make an artefact. What is the probability that he chooses C?
Answer» A goldsmith can choose between 3 metals A, B or C to make an artefact. What is the probability that he chooses C?

Discussion

11970.	The area of a triangle is equal to 28 sq cm. If its base is 7 cm long, calculate the height of the triangle.
Answer» The area of a triangle is equal to 28 sq cm. If its base is 7 cm long, calculate the height of the triangle.

Discussion

11971.	The value of x in the above figure is
Answer» The value of $x$ in the above figure is

Discussion

11972.	If alpha and beta are the roots of the equation x^2+6x+lamda=0 and 3alpha+2beta=-20,then lamda=
Answer» If alpha and beta are the roots of the equation x^2+6x+lamda=0 and 3alpha+2beta=-20,then lamda=

Discussion

11973.	5. How to draw root 2 uding square root spiral method
Answer» 5. How to draw root 2 uding square root spiral method

Discussion

11974.	What is Radius of Gyration?
Answer» What is Radius of Gyration?

Discussion

11975.	Statements: P Q, M # N, N**Q Conclusions: I. P $ M II. N # P
Answer» Statements: P Q, M # N, N**Q Conclusions: I. P $ M II. N # P

11975.

Statements: P Q, M # N, N**Q Conclusions: I. P $ M II. N # P

Answer»

Statements: P Q, M # N, N**Q

Conclusions:

I. P $ M

II. N # P

Discussion

11976.

Let X be a discrete random variable. The probability distribution of X is given below: X: 30 10 –10 P(X): 15 310 12 Then E(X) is equal to(a) 6(b) 4(c) 3(d) –5

Answer» Let X be a discrete random variable. The probability distribution of X is given below:

X:	30	10	–10
P(X):	$\frac{1}{5}$	$\frac{3}{10}$	$\frac{1}{2}$

Then E(X) is equal to

(a) 6

(b) 4

(c) 3

(d) –5

Discussion

11977.	Priya's father age is twice as old as her daughter.. After 16 years he will be twice as old as her daughter. Find their present ages
Answer» Priya's father age is twice as old as her daughter.. After 16 years he will be twice as old as her daughter. Find their present ages

Discussion

11978.	50.If the eight digit number 2575d568 is divisible by 54 and 87 then find the value of the digit 'd' .
Answer» 50.If the eight digit number 2575d568 is divisible by 54 and 87 then find the value of the digit 'd' .

Discussion

11979.	Which of the following should be the FIRST sentence after rearrangement?
Answer» Which of the following should be the FIRST sentence after rearrangement?

Discussion

11980.	If the age of seven players in a U -16 football team is 13,14,10,14,15,12, and 13 years, then find the average age of players in the team.
Answer» If the age of seven players in a $U - 16$ football team is $13, 14, 10, 14, 15, 12,$ and $13$ years, then find the average age of players in the team.

Discussion

11981.	If you add -6 to 7 and then subtract -8 from the result, what will be the answer?
Answer» If you add -6 to 7 and then subtract -8 from the result, what will be the answer?

Discussion

11982.	Why in the Mathematics, the straight curves are known as curves and not stratght lines?
Answer» Why in the Mathematics, the straight curves are known as curves and not stratght lines?

Discussion

11983.	ntA car travelling at 60km/h overtakes another car travelling at 42km/h. Assuming each car to be 5m long, find the time taken during the overtake and the total road distance used for the overtake.n
Answer» ntA car travelling at 60km/h overtakes another car travelling at 42km/h. Assuming each car to be 5m long, find the time taken during the overtake and the total road distance used for the overtake.n

Discussion

11984.	π is the ratio of circumference of a circle to ___.
Answer» $π$ is the ratio of circumference of a circle to ___.

Discussion

11985.	Question 50In the following question, fill in the blanks to make the statements true.If 36=6×6=62,then136 expressed as a power with the base 6 is ___ .
Answer» Question 50 In the following question, fill in the blanks to make the statements true. If $36 = 6 \times 6 = 6^{2}, t h e n \frac{1}{36}$ expressed as a power with the base 6 is ___ .

11985.

Question 50In the following question, fill in the blanks to make the statements true.If 36=6×6=62,then136 expressed as a power with the base 6 is ___ .

Answer»

Question 50

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

If $36 = 6 \times 6 = 6^{2}, t h e n \frac{1}{36}$ expressed as a power with the base 6 is ___ .

Discussion

11986.	3×(−1)×(−15)= ?
Answer» $3 \times (- 1) \times (- 15) = ?$

Discussion

11987.	127.If angles A and B of triangle ABC(A is not equal to B) are the roots of the equation cos3x = 1/3 then the angle C can be
Answer» 127.If angles A and B of triangle ABC(A is not equal to B) are the roots of the equation cos3x = 1/3 then the angle C can be

Discussion

11988.	The simplified form of the expression 432 is .
Answer» The simplified form of the expression $4^{\frac{3}{2}}$ is .

Discussion

11989.	Calculate the value of :- Denominator of 89 + Numerator of 1011
Answer» Calculate the value of :- Denominator of $\frac{8}{9}$ + Numerator of $\frac{10}{11}$

Discussion

11990.	In the given figure, if AB\|\|CD,∠APQ=50∘ and ∠PRD=127∘, the value of y is:
Answer» In the given figure, if $A B \| \| C D, ∠ A P Q = 50^{\circ} a n d ∠ P R D = 127^{\circ}$ , the value of y is:

11990.

In the given figure, if AB||CD,∠APQ=50∘ and ∠PRD=127∘, the value of y is:

Answer»

In the given figure, if $A B | | C D, ∠ A P Q = 50^{\circ} a n d ∠ P R D = 127^{\circ}$ , the value of y is:

Discussion

11991.	A square flowerbed is surrounded by a path 10 cm wide around it. If the area of the path is 2000 cm2, find the area of the square flower-bed.
Answer» A square flowerbed is surrounded by a path 10 cm wide around it. If the area of the path is 2000 cm $^{2}$ , find the area of the square flower-bed.

Discussion

11992.	How to multiply (353.3*10^-10)^3
Answer» How to multiply (353.3*10^-10)^3

Discussion

11993.	What should be added to x2+3x−8 to get x2+x+6?
Answer» What should be added to $x^{2} + 3 x - 8$ to get $x^{2} + x + 6$ ?

Discussion

11994.	How many years does it take to double the sum of money at a simple interest rate of 5 percent per annum? years
Answer» How many years does it take to double the sum of money at a simple interest rate of 5 percent per annum? years

Discussion

11995.	Arrange the following algebraic expressions in ascending order of number of terms from top to bottom.
Answer» Arrange the following algebraic expressions in ascending order of number of terms from top to bottom.

Discussion

11996.	A car goes at an average speed of 36 km/h for 15 minutes and 60 km/h for the next 15 minutes. How much distance did it cover?
Answer» A car goes at an average speed of 36 km/h for 15 minutes and 60 km/h for the next 15 minutes. How much distance did it cover?

Discussion

11997.	Solve the following.A person saves 12% of his salary every month. If his salary is Rs. 2,500/- what is his expenditure?
Answer» Solve the following. A person saves 12% of his salary every month. If his salary is Rs. 2,500/- what is his expenditure?

11997.

Solve the following.A person saves 12% of his salary every month. If his salary is Rs. 2,500/- what is his expenditure?

Answer»

Solve the following.

A person saves 12% of his salary every month. If his salary is Rs. 2,500/- what is his expenditure?

Discussion

11998.

The following balances were extracted from the books of M/s Panchsheel Garments on March 31, 2017. Account Title Debit Amount (₹) Account Title Credit Amount (₹) Opening stock 16,000 Sales 1,12,000 Purchases 67,600 Return outwards 3,200 Return Inwards 4,600 Discount 1,400 Carriage inwards 1,400 Bank overdraft 10,000 General expenses 2,400 Commission 1,800 Insurance 4,000 Creditors 16,000 Scooter expenses 200 Capital 50,000 Salary 8,800 Cash in hand 4,000 Scooter 8,000 Furniture 5,200 Buildings 65,000 Debtors 6,000 Wages 1,200 1,94,400 1,94,400 Prepare the trading and profit and loss account for the year ended March 31, 2017 and a balance sheet as on that date.(a) Unexpired insurance ₹ 1,000.(b) Salary due but not paid ₹ 1,800.(c) Wages outstanding ₹ 200.(d) Interest on capital 5%.(e) Scooter is depreciated 5%.(f) Furniture is depreciated ₹ 10%.(g) Closing stock was ₹ 15,000.

Answer» The following balances were extracted from the books of M/s Panchsheel Garments on March 31, 2017.

Account Title	Debit Amount (₹)	Account Title	Credit Amount (₹)
Opening stock	16,000	Sales	1,12,000
Purchases	67,600	Return outwards	3,200
Return Inwards	4,600	Discount	1,400
Carriage inwards	1,400	Bank overdraft	10,000
General expenses	2,400	Commission	1,800
Insurance	4,000	Creditors	16,000
Scooter expenses	200	Capital	50,000
Salary	8,800
Cash in hand	4,000
Scooter	8,000
Furniture	5,200
Buildings	65,000
Debtors	6,000
Wages	1,200

	1,94,400		1,94,400

Prepare the trading and profit and loss account for the year ended March 31, 2017 and a balance sheet as on that date.

(a) Unexpired insurance ₹ 1,000.

(b) Salary due but not paid ₹ 1,800.

(c) Wages outstanding ₹ 200.

(d) Interest on capital 5%.

(e) Scooter is depreciated 5%.

(f) Furniture is depreciated ₹ 10%.

(g) Closing stock was ₹ 15,000.

Discussion

11999.	If 10 pens cost 60 rupees, what is the cost of 15 such pens?
Answer» If 10 pens cost 60 rupees, what is the cost of 15 such pens?

Discussion

12000.

Add:(1) −354 and + 564(2) +10, −8 and +6(3) 530, −410 and −20(4) + 680 and −680(5) −5778 and −4222

Answer»

Add:

(1) −354 and + 564

(2) +10, −8 and +6

(3) 530, −410 and −20

(4) + 680 and −680

(5) −5778 and −4222

Discussion

Explore topic-wise InterviewSolutions in .

Match these parts of laws of exponents with their equivalent counterparts.

A handloom weaver takes 6 hours 20 minutes 30 seconds and 5 hours 50 minutes 45 seconds to weave two silk sarees. What is the total time to weave the two silk sarees ?

The sum of 3x+9y+7z and 6x+2y is .

Decide whether set A and B are equal sets. Give reason for your answer. A = Even prime numbersB = { x | 7 x -1 = 13}

Solve the following problems:A Scooter covers a certain distance at a speed 40km/hr in 6 hours. How long does it take to travel the same distance at the speed of 60 km/hr?

Prove that the area of a trapezium ABCD = 12× (AB + DC) × h square units.

x2 - 2x + 3 - A = -3x2 + 4x - 9, then A =

5. Given trapezium ABCD.AB//CD.A and B are complements.Given AB=20,CD=18.Evaluate FM where F bisect AB,M bisect CD

In the given figure, BD = AD and DC = AC, If ∠ABC=35∘, then x∘ = ___.

The area of a rectangle 144 cm long is same as that of a square of side 84 cm. The width of the rectangle is(a) 7 cm (b) 14 cm (c) 49 cm (d) 28 cm

17 Prove that altitudes of a triangle are concurrent

If }\operatorname{log}_{12}18=a and }\operatorname{log}_{24}54=b, then find ab }+5(a-b)

36 find the sum of products of the ten numbers +_1,+_2,+_3,+_4,+_5 taking two at a time.(+_ indicates plus or minus sign)

Question 89 (i) Factorise the following, using the identity, a2+2ab+b2=(a+b)2 x2+6x+9

In an isosceles triangle, which of the following is not true:

The angle is impossible to draw using the set squares given in the geometry box.

The population of a town increased by 10%, then by 20% and then decreased by 30% due to migrattion. the final population is what percent of the original?

If 3 is multiplied 'a' times with itself and equals 81, then a = __

A goldsmith can choose between 3 metals A, B or C to make an artefact. What is the probability that he chooses C?

The area of a triangle is equal to 28 sq cm. If its base is 7 cm long, calculate the height of the triangle.

The value of x in the above figure is

If alpha and beta are the roots of the equation x^2+6x+lamda=0 and 3alpha+2beta=-20,then lamda=

5. How to draw root 2 uding square root spiral method

What is Radius of Gyration?

Statements: P Q, M # N, N**Q Conclusions: I. P $ M II. N # P

Let X be a discrete random variable. The probability distribution of X is given below: X: 30 10 –10 P(X): 15 310 12 Then E(X) is equal to(a) 6(b) 4(c) 3(d) –5

Priya's father age is twice as old as her daughter.. After 16 years he will be twice as old as her daughter. Find their present ages

50.If the eight digit number 2575d568 is divisible by 54 and 87 then find the value of the digit 'd' .

Which of the following should be the FIRST sentence after rearrangement?

If the age of seven players in a U -16 football team is 13,14,10,14,15,12, and 13 years, then find the average age of players in the team.​

If you add -6 to 7 and then subtract -8 from the result, what will be the answer?

Why in the Mathematics, the straight curves are known as curves and not stratght lines?

ntA car travelling at 60km/h overtakes another car travelling at 42km/h. Assuming each car to be 5m long, find the time taken during the overtake and the total road distance used for the overtake.n

π is the ratio of circumference of a circle to ___.

Question 50In the following question, fill in the blanks to make the statements true.If 36=6×6=62,then136 expressed as a power with the base 6 is ___ .

3×(−1)×(−15)= ?

127.If angles A and B of triangle ABC(A is not equal to B) are the roots of the equation cos3x = 1/3 then the angle C can be

The simplified form of the expression 432 is .

Calculate the value of :- Denominator of 89 + Numerator of 1011

In the given figure, if AB||CD,∠APQ=50∘ and ∠PRD=127∘, the value of y is:

A square flowerbed is surrounded by a path 10 cm wide around it. If the area of the path is 2000 cm2, find the area of the square flower-bed.

How to multiply (353.3*10^-10)^3

What should be added to x2+3x−8 to get x2+x+6?

How many years does it take to double the sum of money at a simple interest rate of 5 percent per annum? years

Arrange the following algebraic expressions in ascending order of number of terms from top to bottom.

A car goes at an average speed of 36 km/h for 15 minutes and 60 km/h for the next 15 minutes. How much distance did it cover?

Solve the following.A person saves 12% of his salary every month. If his salary is Rs. 2,500/- what is his expenditure?

If 10 pens cost 60 rupees, what is the cost of 15 such pens?

Add:(1) −354 and + 564(2) +10, −8 and +6(3) 530, −410 and −20(4) + 680 and −680(5) −5778 and −4222

If the age of seven players in a U -16 football team is 13,14,10,14,15,12, and 13 years, then find the average age of players in the team.