25365 + Interview Questions in Mathematics Page 64 InterviewSolution

3151.	Simplify: [(−t)−10÷(−t)−5]×(−t)20
Answer» Simplify: $[(- t)^{- 10} \div (- t)^{- 5}] \times (- t)^{20}$

Discussion

3152.	Which of the following is an algebraic equation?
Answer» Which of the following is an algebraic equation?

Discussion

3153.	The ratio of AM and GM of two positive numbers a and b is m:n, show that: a:b=(m+\surd m²-n²):(m-\surd m²-n²
Answer» The ratio of AM and GM of two positive numbers a and b is m:n, show that: a:b=(m+\surd m²-n²):(m-\surd m²-n²

Discussion

3154.	The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is b meters?
Answer» The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is $b$ meters?

Discussion

3155.	x^2-6x+[x]+7
Answer» x^2-6x+[x]+7

Discussion

3156.	Question 5 If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?
Answer» Question 5 If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?

Discussion

3157.	If A(0, 2), B(0, -2) and C(3, 2) are the vertices ofa triangle, then the ratio in which angle bisector ofangle A divides the line segment BC is
Answer» If A(0, 2), B(0, -2) and C(3, 2) are the vertices ofa triangle, then the ratio in which angle bisector ofangle A divides the line segment BC is

Discussion

3158.	A die is rolled. Odds against getting odd number is equal to x3 where x is equal to .
Answer» A die is rolled. Odds against getting odd number is equal to $\frac{x}{3}$ where $x$ is equal to .

Discussion

3159.	The angles of quadrilateral are in the ratio 2:1:5:4. what is the difference between smallest and the largest angle of the quadrilateral?
Answer» The angles of quadrilateral are in the ratio $2 : 1 : 5 : 4$ . what is the difference between smallest and the largest angle of the quadrilateral?

Discussion

3160.	If 36x2 is divisible by 4, where x is a digit, find the values of x.
Answer» If 36x2 is divisible by 4, where x is a digit, find the values of x.

Discussion

3161.	What is additive and multiplicative inverse l
Answer» What is additive and multiplicative inverse l

Discussion

3162.	Question 1 (ii) Given a parallelogram ABCD. Complete each statement along with the definition or property used. (ii) ∠DCB= ........
Answer» Question 1 (ii) Given a parallelogram ABCD. Complete each statement along with the definition or property used. (ii) $∠ D C B =$ ........

Discussion

3163.	Question 15If x is any rational number, then x + 0 is equal to(a) x(b) 0(c) – x(d) Not defined
Answer» Question 15 If x is any rational number, then x + 0 is equal to (a) x (b) 0 (c) – x (d) Not defined

Discussion

3164.	explain the structure of ea with a diagram
Answer» explain the structure of ea with a diagram

Discussion

3165.	The number of students speaking different languages is given below. Display the data in a pie chart and state the percentage of student speaking Marathi. LanguageNo. of StudentsHindi40English12Marathi9Tamil7Bengali4Total72 ___
Answer» The number of students speaking different languages is given below. Display the data in a pie chart and state the percentage of student speaking Marathi. $\begin{matrix} L a n g u a g e & N o . o f S t u d e n t s H i n d i & 40 E n g l i s h & 12 M a r a t h i & 9 T a m i l & 7 B e n g a l i & 4 T o t a l & 72 \end{matrix}$ ___

3165.

The number of students speaking different languages is given below. Display the data in a pie chart and state the percentage of student speaking Marathi. LanguageNo. of StudentsHindi40English12Marathi9Tamil7Bengali4Total72 ___

Answer»

The number of students speaking different languages is given below. Display the data in a pie chart and state the percentage of student speaking Marathi.

$\begin{matrix} L a n g u a g e & N o . o f S t u d e n t s H i n d i & 40 E n g l i s h & 12 M a r a t h i & 9 T a m i l & 7 B e n g a l i & 4 T o t a l & 72 \end{matrix}$

___

Discussion

3166.	Express 3375 in exponential form.
Answer» Express 3375 in exponential form.

Discussion

3167.	Question 2 (iv)Find the number of digits in the square root of each of the following numbers (without any calculation):27225
Answer» Question 2 (iv) Find the number of digits in the square root of each of the following numbers (without any calculation): 27225

3167.

Question 2 (iv)Find the number of digits in the square root of each of the following numbers (without any calculation):27225

Answer»

Question 2 (iv)

Find the number of digits in the square root of each of the following numbers (without any calculation):

27225

Discussion

3168.	3 subtracted from a number and the result multiplied by 2, gives 10. What is the number?
Answer» 3 subtracted from a number and the result multiplied by 2, gives 10. What is the number?

3168.

3 subtracted from a number and the result multiplied by 2, gives 10. What is the number?

Answer»

3 subtracted from a number and the result multiplied by 2, gives 10. What is the number?

Discussion

3169.	Rewrite the following statement, with 'if ..., then' in five different ways conveying the same meaning : If a natural number is even, then its square is even.
Answer» Rewrite the following statement, with 'if ..., then' in five different ways conveying the same meaning : If a natural number is even, then its square is even.

3169.

Rewrite the following statement, with 'if ..., then' in five different ways conveying the same meaning : If a natural number is even, then its square is even.

Answer»

Rewrite the following statement, with 'if ..., then' in five different ways conveying the same meaning :

If a natural number is even, then its square is even.

Discussion

3170.	Find the quotient using long division when, 33÷3=.
Answer» Find the quotient using long division when, $33 \div 3 =$ .

Discussion

3171.	In a simultaneous toss of n coins, find the probability that no head occurs.
Answer» In a simultaneous toss of n coins, find the probability that no head occurs.

Discussion

3172.	Find the no of sides of a regular polygon if one of its interior angles equal to 168 degree 45 minutes
Answer» Find the no of sides of a regular polygon if one of its interior angles equal to 168 degree 45 minutes

Discussion

3173.	A certain company has 80 employees who are engineers. In this company engineers constitute 40% of its work force. How many people are employed in the company? [3 MARKS]
Answer» A certain company has 80 employees who are engineers. In this company engineers constitute $40 %$ of its work force. How many people are employed in the company? [3 MARKS]

Discussion

3174.	What is DDT and its full form?
Answer» What is DDT and its full form?

Discussion

3175.	Question 89 (i)Factorise the following, using the identity, a2+2ab+b2=(a+b)2x2+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

3176.	Draw a number line and represent 0.8 and 1.5 on it.
Answer» Draw a number line and represent 0.8 and 1.5 on it.

Discussion

3177.	Question 163Find the value of x in the trapezium ABCD given below
Answer» Question 163 Find the value of x in the trapezium ABCD given below

Discussion

3178.	Question 53 Number of terms in the expression a2+bc×d is ___
Answer» Question 53 Number of terms in the expression $a^{2} + b c \times d$ is ___

Discussion

3179.	Barkha purchase and ice box in which age does not melt before 6 hours the dimension of the box was 20 CM x 10 cm x 5 cm how many eyes cuboids of length 2 cm breadth 2 cm and height 1 cm can she keep in the ice box
Answer» Barkha purchase and ice box in which age does not melt before 6 hours the dimension of the box was 20 CM x 10 cm x 5 cm how many eyes cuboids of length 2 cm breadth 2 cm and height 1 cm can she keep in the ice box

Discussion

3180.	If there is a triangle and and its base is 40 and height is 10 . On the other hand there is trapezium of height 10 and base is 10 and the top side is 30. Base of trapezium is parallel to its top. Find the area of both and check whether the area is same or not if same then tell the reason why their area is same?
Answer» If there is a triangle and and its base is 40 and height is 10 . On the other hand there is trapezium of height 10 and base is 10 and the top side is 30. Base of trapezium is parallel to its top. Find the area of both and check whether the area is same or not if same then tell the reason why their area is same?

Discussion

3181.	Question 7Evaluate the following using suitable identities:(i) (99)3(ii) (102)3(iii) (998)3
Answer» Question 7 Evaluate the following using suitable identities: (i) $(99)^{3}$ (ii) $(102)^{3}$ (iii) $(998)^{3}$

Discussion

3182.	For each of the following, transactions, calculate the resulting cash flow and state the nature of cash flow viz. operating, investing and financing. (a) Acquired machinery for Rs. 2,50,000 paying 20% by cheque and executing a bond for the balance payable. (B) Paid Rs. 2,50,000 to acquire shares in Informa Tech and received a dividend of R.s 50,000 after acquisition. (c) Sold machinery of original cost Rs. 2,00,000 with an accumulated depreciation of Rs. 1,60,000 for Rs. 60,000.
Answer» For each of the following, transactions, calculate the resulting cash flow and state the nature of cash flow viz. operating, investing and financing. (a) Acquired machinery for Rs. 2,50,000 paying $20 %$ by cheque and executing a bond for the balance payable. (B) Paid Rs. 2,50,000 to acquire shares in Informa Tech and received a dividend of R.s 50,000 after acquisition. (c) Sold machinery of original cost Rs. 2,00,000 with an accumulated depreciation of Rs. 1,60,000 for Rs. 60,000.

Discussion

3183.	Question 4Write ‘True’ or ‘False’ and justify your answer in the followingA solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is 43πa3
Answer» Question 4 Write ‘True’ or ‘False’ and justify your answer in the following A solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is $\frac{4}{3} π a^{3}$

Discussion

3184.	In the adjoining figure, and are parallel lines. The transversals and intersect at U on the line. Given that ∠DWU = 110° and ∠CVP = 70°, find the measure of ∠QUS.
Answer» In the adjoining figure, and are parallel lines. The transversals and intersect at U on the line. Given that ∠DWU = 110° and ∠CVP = 70°, find the measure of ∠QUS.

3184.

In the adjoining figure, and are parallel lines. The transversals and intersect at U on the line. Given that ∠DWU = 110° and ∠CVP = 70°, find the measure of ∠QUS.

Answer»

In the adjoining figure, and are parallel lines. The transversals and intersect at U on the line. Given that ∠DWU = 110° and ∠CVP = 70°, find the measure of ∠QUS.

Discussion

3185.	If A=⎡⎢⎣101011010⎤⎥⎦, then A2−2A=
Answer» If $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & 1 0 & 1 & 1 0 & 1 & 0 \end{matrix} ⎤ ⎥ ⎦, then A^{2} - 2 A =$

Discussion

3186.	How many perfect cubes you can find from 1 to 100? How many from −100 to 100?
Answer» How many perfect cubes you can find from 1 to 100? How many from −100 to 100?

Discussion

3187.	Question 182A regular pentagon ABCDE and a square ABFG are formed on opposite sides of AB. Find ∠BCF?
Answer» Question 182 A regular pentagon ABCDE and a square ABFG are formed on opposite sides of AB. Find $∠ B C F$ ?

Discussion

3188.	26. Simplify: ilog(x+i/x-i)
Answer» 26. Simplify: ilog(x+i/x-i)

Discussion

3189.	Given ¯¯¯¯¯¯¯¯AB of length 7.3 cm and ¯¯¯¯¯¯¯¯¯CD of length 3.4 cm, construct a line segment ¯¯¯¯¯¯¯¯¯XY such that the length of ¯¯¯¯¯¯¯¯¯XY is equal to the difference between the lengths of ¯¯¯¯¯¯¯¯AB and ¯¯¯¯¯¯¯¯¯CD. Verify by measurement
Answer» Given $¯ ¯¯¯¯¯¯ ¯ A B$ of length 7.3 cm and $¯ ¯¯¯¯¯¯¯ ¯ C D$ of length 3.4 cm, construct a line segment $¯ ¯¯¯¯¯¯¯ ¯ X Y$ such that the length of $¯ ¯¯¯¯¯¯¯ ¯ X Y$ is equal to the difference between the lengths of $¯ ¯¯¯¯¯¯ ¯ A B$ and $¯ ¯¯¯¯¯¯¯ ¯ C D$ . Verify by measurement

Discussion

3190.	Factorize each of the following algebraic expressions : (a+7)(a−10)+16
Answer» Factorize each of the following algebraic expressions : $(a + 7) (a - 10) + 16$

3190.

Factorize each of the following algebraic expressions : (a+7)(a−10)+16

Answer»

Factorize each of the following algebraic expressions :

$(a + 7) (a - 10) + 16$

Discussion

3191.	Which of the following is a measure of central tendency?
Answer» Which of the following is a measure of central tendency?

Discussion

3192.	Question 15In the given question, out of four options, only one is correct. Write the correct answer.If 5A×A=399, then the value of A is(a) 3(b) 6(c) 7(d) 9
Answer» Question 15 In the given question, out of four options, only one is correct. Write the correct answer. If $5 A \times A = 399$ , then the value of A is (a) 3 (b) 6 (c) 7 (d) 9

Discussion

3193.	Solve and check result: 3x = 2x + 18
Answer» Solve and check result: 3x = 2x + 18

Discussion

3194.	Question 86 (xvii) Using suitable identities, evaluate the following: (69.3)2−(30.7)2
Answer» Question 86 (xvii) Using suitable identities, evaluate the following: $(69.3)^{2} - (30.7)^{2}$

3194.

Question 86 (xvii) Using suitable identities, evaluate the following: (69.3)2−(30.7)2

Answer»

Question 86 (xvii)

Using suitable identities, evaluate the following:

$(69.3)^{2} - (30.7)^{2}$

Discussion

3195.	In the construction of a square inside a circle, the angle between the two diameters should be ___
Answer» In the construction of a square inside a circle, the angle between the two diameters should be ___

Discussion

3196.	Choose the correct option: The signs of the coordinates of a point in the third quadrant are ____________. A. (+, −) B. (−, +) C. (+, +) D. (−,−,)
Answer» Choose the correct option: The signs of the coordinates of a point in the third quadrant are ____________. A. (+, −) B. (−, +) C. (+, +) D. (−,−,)

3196.

Choose the correct option: The signs of the coordinates of a point in the third quadrant are ____________. A. (+, −) B. (−, +) C. (+, +) D. (−,−,)

Answer»

Choose the correct option:

The signs of the coordinates of a point in the third quadrant are ____________.

A. (+, −)

B. (−, +)

C. (+, +)

D. (−,−,)

Discussion

3197.	Question 87 (ii) Write the greatest common factor in the following terms. 3x2y, 18xy2, −6xy
Answer» Question 87 (ii) Write the greatest common factor in the following terms. $3 x^{2} y, 18 x y^{2}, - 6 x y$

Discussion

3198.	Find the value of 3√216 + 3√72964
Answer» Find the value of $\sqrt[3]{216}$ + $\sqrt[3]{\frac{729}{64}}$

Discussion

3199.	If A=[a−115−4] is an involutory matrix, then the value of a is
Answer» If $A = [\begin{matrix} a & - 1 15 & - 4 \end{matrix}]$ is an involutory matrix, then the value of $a$ is

Discussion

3200.	Find the value of x.3x+93=5x+59
Answer» Find the value of x. $3 x + \frac{9}{3} = 5 x + \frac{5}{9}$

3200.

Find the value of x.3x+93=5x+59

Answer»

Find the value of x.

$3 x + \frac{9}{3} = 5 x + \frac{5}{9}$

Discussion

Explore topic-wise InterviewSolutions in .

Simplify: [(−t)−10÷(−t)−5]×(−t)20

Which of the following is an algebraic equation?

The ratio of AM and GM of two positive numbers a and b is m:n, show that: a:b=(m+\surd m²-n²):(m-\surd m²-n²

The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is b meters?

x^2-6x+[x]+7

Question 5 If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?

If A(0, 2), B(0, -2) and C(3, 2) are the vertices ofa triangle, then the ratio in which angle bisector ofangle A divides the line segment BC is

A die is rolled. Odds against getting odd number is equal to x3 where x is equal to .

The angles of quadrilateral are in the ratio 2:1:5:4. what is the difference between smallest and the largest angle of the quadrilateral?

If 36x2 is divisible by 4, where x is a digit, find the values of x.

What is additive and multiplicative inverse l

Question 1 (ii) Given a parallelogram ABCD. Complete each statement along with the definition or property used. (ii) ∠DCB= ........

Question 15If x is any rational number, then x + 0 is equal to(a) x(b) 0(c) – x(d) Not defined

explain the structure of ea with a diagram

The number of students speaking different languages is given below. Display the data in a pie chart and state the percentage of student speaking Marathi. LanguageNo. of StudentsHindi40English12Marathi9Tamil7Bengali4Total72 ___

Express 3375 in exponential form.

Question 2 (iv)Find the number of digits in the square root of each of the following numbers (without any calculation):27225

3 subtracted from a number and the result multiplied by 2, gives 10. What is the number?

Rewrite the following statement, with 'if ..., then' in five different ways conveying the same meaning : If a natural number is even, then its square is even.

Find the quotient using long division when, 33÷3=.

In a simultaneous toss of n coins, find the probability that no head occurs.

Find the no of sides of a regular polygon if one of its interior angles equal to 168 degree 45 minutes

A certain company has 80 employees who are engineers. In this company engineers constitute 40% of its work force. How many people are employed in the company? [3 MARKS]

What is DDT and its full form?

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

Draw a number line and represent 0.8 and 1.5 on it.

Question 163Find the value of x in the trapezium ABCD given below

Question 53 Number of terms in the expression a2+bc×d is ___

Barkha purchase and ice box in which age does not melt before 6 hours the dimension of the box was 20 CM x 10 cm x 5 cm how many eyes cuboids of length 2 cm breadth 2 cm and height 1 cm can she keep in the ice box

Question 7Evaluate the following using suitable identities:(i) (99)3(ii) (102)3(iii) (998)3

Question 4Write ‘True’ or ‘False’ and justify your answer in the followingA solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is 43πa3

In the adjoining figure, and are parallel lines. The transversals and intersect at U on the line. Given that ∠DWU = 110° and ∠CVP = 70°, find the measure of ∠QUS.

If A=⎡⎢⎣101011010⎤⎥⎦, then A2−2A=

How many perfect cubes you can find from 1 to 100? How many from −100 to 100?

Question 182A regular pentagon ABCDE and a square ABFG are formed on opposite sides of AB. Find ∠BCF?

26. Simplify: ilog(x+i/x-i)

Given ¯¯¯¯¯¯¯¯AB of length 7.3 cm and ¯¯¯¯¯¯¯¯¯CD of length 3.4 cm, construct a line segment ¯¯¯¯¯¯¯¯¯XY such that the length of ¯¯¯¯¯¯¯¯¯XY is equal to the difference between the lengths of ¯¯¯¯¯¯¯¯AB and ¯¯¯¯¯¯¯¯¯CD. Verify by measurement

Factorize each of the following algebraic expressions : (a+7)(a−10)+16

Which of the following is a measure of central tendency?

Question 15In the given question, out of four options, only one is correct. Write the correct answer.If 5A×A=399, then the value of A is(a) 3(b) 6(c) 7(d) 9

Solve and check result: 3x = 2x + 18

Question 86 (xvii) Using suitable identities, evaluate the following: (69.3)2−(30.7)2

In the construction of a square inside a circle, the angle between the two diameters should be ___

Choose the correct option: The signs of the coordinates of a point in the third quadrant are ____________. A. (+, −) B. (−, +) C. (+, +) D. (−,−,)

Question 87 (ii) Write the greatest common factor in the following terms. 3x2y, 18xy2, −6xy

Find the value of 3√216 + 3√72964

If A=[a−115−4] is an involutory matrix, then the value of a is

Find the value of x.3x+93=5x+59