25365 + Interview Questions in Mathematics Page 126 InterviewSolution

6251.	Question 1(vi)Multiply the binomials:(34a2+3b2)and 4(a2−23b2)
Answer» Question 1(vi) Multiply the binomials: $(\frac{3}{4} a^{2} + 3 b^{2}) a n d 4 (a^{2} - \frac{2}{3} b^{2})$

Discussion

6252.	Question 27In the following question, out of the four options, only one is correct. Write the correct answer.(110)0 is equal to (a) 0(b) 110(c) 1(d)10
Answer» Question 27 In the following question, out of the four options, only one is correct. Write the correct answer. ${(\frac{1}{10})}^{0}$ is equal to (a) 0 (b) $\frac{1}{10}$ (c) 1 (d)10

6252.

Question 27In the following question, out of the four options, only one is correct. Write the correct answer.(110)0 is equal to (a) 0(b) 110(c) 1(d)10

Answer»

Question 27

In the following question, out of the four options, only one is correct. Write the correct answer.

${(\frac{1}{10})}^{0}$ is equal to

(a) 0

(b) $\frac{1}{10}$

(c) 1

(d)10

Discussion

6253.	if the mean of p,q,r,s and t is 5 then the value of (p-5)+(q-5)+(r-5)+(s-5)+(t-5)
Answer» if the mean of p,q,r,s and t is 5 then the value of (p-5)+(q-5)+(r-5)+(s-5)+(t-5)

Discussion

6254.	If we subtract −4x2y from 2x2y we get .
Answer» If we subtract $- 4 x^{2} y$ from $2 x^{2} y$ we get .

Discussion

6255.	Question 8Find and correct the errors in the statement: (2x)2+5x=4x+5x=9x
Answer» Question 8 Find and correct the errors in the statement: $(2 x)^{2} + 5 x = 4 x + 5 x = 9 x$

Discussion

6256.	Question 95 (v)Look at the map given below and answer the following question.Which sector has the maximum number of houses?
Answer» Question 95 (v) Look at the map given below and answer the following question. Which sector has the maximum number of houses?

Discussion

6257.	If 3x=181, then the value of x is
Answer» If $3^{x} = \frac{1}{81}$ , then the value of $x$ is

Discussion

6258.	The cost of a scooter depreciates every year by 15% of its value at the beginning of the year. If the present cost of the scooter is 8,000; find its cost : (i) after one year (ii) after 2 years.
Answer» The cost of a scooter depreciates every year by 15% of its value at the beginning of the year. If the present cost of the scooter is 8,000; find its cost : (i) after one year (ii) after 2 years.

Discussion

6259.	Three sets A,B, and C are defined as, A={x:x is a whole number less than equal to 10}B={x:x is a letter in the word "ARITHMETIC"}C={x:x is a prime number less than 30}With respect to the cardinality of these sets, choose the correct option.
Answer» Three sets $A, B$ , and $C$ are defined as, $\begin{matrix} A & = {x : x is a whole number less than equal to 10} B & = {x : x is a letter in the word "ARITHMETIC"} C & = {x : x is a prime number less than 30} \end{matrix}$ With respect to the cardinality of these sets, choose the correct option.

Discussion

6260.	Find three consecutive even numbers whose sum is 234. [3 MARKS]
Answer» Find three consecutive even numbers whose sum is 234. [3 MARKS]

Discussion

6261.	In a quiz program the correct answer gets you 2 marks. For each wrong answer, one mark is deducted from the total score. There are 50 questions to be answered. If Preeti scored 76 marks for the quiz, how many of her questions were right? Note: Preeti attempted all the 50 questions
Answer» In a quiz program the correct answer gets you 2 marks. For each wrong answer, one mark is deducted from the total score. There are 50 questions to be answered. If Preeti scored 76 marks for the quiz, how many of her questions were right? Note: Preeti attempted all the 50 questions

Discussion

6262.	if 3^2017 is divisible by 10,then the remainder is
Answer» if 3^2017 is divisible by 10,then the remainder is

Discussion

6263.	The multiplication identity for rational numbers is represented by which point in the given number line?
Answer» The multiplication identity for rational numbers is represented by which point in the given number line?

6263.

The multiplication identity for rational numbers is represented by which point in the given number line?

Answer»

The multiplication identity for rational numbers is represented by which point in the given number line?

Discussion

6264.	The cost of diamond varies directly as the square of its weight. A diamond weighting 10 decigrams costs Rs. 8,000. If it breaks into two pieces whose weights are in the ratio 3 : 2, then the loss incurred (in rupees) is ___.
Answer» The cost of diamond varies directly as the square of its weight. A diamond weighting 10 decigrams costs Rs. 8,000. If it breaks into two pieces whose weights are in the ratio 3 : 2, then the loss incurred (in rupees) is ___.

Discussion

6265.	Question 95 (vii) Look at the map given below and answer the following question. In the map, how many sectors have been shown?
Answer» Question 95 (vii) Look at the map given below and answer the following question. In the map, how many sectors have been shown?

Discussion

6266.	Simplify each of the following products:(i) x2-25 25-x2 - x2+2x(ii) x2+x-2 x2-x+2(iii) x3-3x2-x x2-3x+1 (iv) 2x4-4x2+1 (2x4-4x2-1)
Answer» Simplify each of the following products: (i) $(\frac{x}{2} - \frac{2}{5}) (\frac{2}{5} - \frac{x}{2}) - x^{2} + 2 x$ (ii) $(x^{2} + x - 2) (x^{2} - x + 2)$ (iii) $(x^{3} - 3 x^{2} - x) (x^{2} - 3 x + 1)$ (iv) $(2 x^{4} - 4 x^{2} + 1) (2 x^{4} - 4 x^{2} - 1)$

Discussion

6267.	Question 86 (xi) Using suitable identities, evaluate the following: 101×103
Answer» Question 86 (xi) Using suitable identities, evaluate the following: $101 \times 103$

6267.

Question 86 (xi) Using suitable identities, evaluate the following: 101×103

Answer»

Question 86 (xi)

Using suitable identities, evaluate the following:

$101 \times 103$

Discussion

6268.	18. In a right angle triangle, the square of the hypotenuse is equal to twice the product of the other 2 sides. Find the acute angles of the triangle.
Answer» 18. In a right angle triangle, the square of the hypotenuse is equal to twice the product of the other 2 sides. Find the acute angles of the triangle.

Discussion

6269.	The volumes of the two cubes are in the ratio 64:27. Find the ratio of their surface areas.
Answer» The volumes of the two cubes are in the ratio 64:27. Find the ratio of their surface areas.

Discussion

6270.	Convert the ratio 24:25 to percentage.
Answer» Convert the ratio $24 : 25$ to percentage.

Discussion

6271.	Show that the following system of linear equations has no solution: x+2y≤3, 3x+4y≥12, x≥0, y≥1
Answer» Show that the following system of linear equations has no solution: $x + 2 y \leq 3, 3 x + 4 y \geq 12, x \geq 0, y \geq 1$

Discussion

6272.	Given that the area a of a circle with radius r and diameter d is 100 unit2, what is the value of d2?
Answer» Given that the area $a$ of a circle with radius $r$ and diameter $d$ is $100 u n i t^{2}$ , what is the value of $d^{2}$ ?

Discussion

6273.	Let F1 be the set of all parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane, then F1 is equal to
Answer» Let $F_{1}$ be the set of all parallelograms, $F_{2}$ the set of rectangles, $F_{3}$ the set of rhombuses, $F_{4}$ the set of squares and $F_{5}$ the set of trapeziums in a plane, then $F_{1}$ is equal to

Discussion

6274.	Question 101By what smallest number should 216 be divided so that the quotient is a perfect square? Also, find the square root of the quotient.
Answer» Question 101 By what smallest number should 216 be divided so that the quotient is a perfect square? Also, find the square root of the quotient.

6274.

Question 101By what smallest number should 216 be divided so that the quotient is a perfect square? Also, find the square root of the quotient.

Answer»

Question 101

By what smallest number should 216 be divided so that the quotient is a perfect square? Also, find the square root of the quotient.

Discussion

6275.	Factorise: 4x2−12ax−y2−z2−2yz+9a2
Answer» Factorise: $4 x^{2} - 12 a x - y^{2} - z^{2} - 2 y z + 9 a^{2}$

6275.

Factorise: 4x2−12ax−y2−z2−2yz+9a2

Answer»

Factorise:

$4 x^{2} - 12 a x - y^{2} - z^{2} - 2 y z + 9 a^{2}$

Discussion

6276.	Question 17Common factor between 17abc,34ab2,51a2b isa) 17abcb) 17abc) 17acd) 17a2b2c
Answer» Question 17 Common factor between $17 a b c, 34 a b^{2}, 51 a^{2} b$ is a) $17 a b c$ b) $17 a b$ c) $17 a c$ d) $17 a^{2} b^{2} c$

Discussion

6277.	Express 3825 as the product of its prime factors.
Answer» Express 3825 as the product of its prime factors.

Discussion

6278.	Number of students whose favorite colour is orange is:
Answer» Number of students whose favorite colour is orange is:

6278.

Number of students whose favorite colour is orange is:

Answer»

Number of students whose favorite colour is orange is:

Discussion

6279.	Solve : 6y−52y=79
Answer» Solve : $\frac{6 y - 5}{2 y} = \frac{7}{9}$

6279.

Solve : 6y−52y=79

Answer»

Solve :

$\frac{6 y - 5}{2 y} = \frac{7}{9}$

Discussion

6280.	17.bx*x +abx=0 find value of x
Answer» 17.bx*x +abx=0 find value of x

Discussion

6281.	A pie chart basically shows the relationship between___.
Answer» A pie chart basically shows the relationship between___.

Discussion

6282.	The difference between simple interest and compound interest on a sum for 2 years at 8% per annum is Rs. 160. If the interests were compounded half-yearly, the difference in interests in two years will be nearly
Answer» The difference between simple interest and compound interest on a sum for $2$ years at $8 %$ per annum is $R s . 160$ . If the interests were compounded half-yearly, the difference in interests in two years will be nearly

Discussion

6283.	The value of multiplicative inverse of 7/4x8/7(1/2+1/3) is
Answer» The value of multiplicative inverse of 7/4x8/7(1/2+1/3) is

Discussion

6284.	Classify algebraic expression on the basis of their number of terms.
Answer» Classify algebraic expression on the basis of their number of terms.

Discussion

6285.	Which of the following identity can be used to factorize x2−4y2?
Answer» Which of the following identity can be used to factorize $x^{2} - 4 y^{2}$ ?

Discussion

6286.	2xp+4xq−3yp−6yq=(p+2q)×
Answer» $2 x p + 4 x q - 3 y p - 6 y q = (p + 2 q) \times$

Discussion

6287.	What will be the ratio of the areas of squares, when the diagonal of one square is twice of the other.
Answer» What will be the ratio of the areas of squares, when the diagonal of one square is twice of the other.

Discussion

6288.	Question 6Simplify (256)−(4−32)
Answer» Question 6 Simplify $(256)^{- (4^{- \frac{3}{2}})}$

Discussion

6289.	The simple interest on a certain sum of money is 3/8 of the sum in 25/4 years. Find the rate percent charged.
Answer» The simple interest on a certain sum of money is 3/8 of the sum in 25/4 years. Find the rate percent charged.

Discussion

6290.	Find the simple interest on Rs 2,500 for 4 years at per annum.
Answer» Find the simple interest on Rs 2,500 for 4 years at per annum.

Discussion

6291.	Question 82(vi)Given below is a frequency distribution table. Read it and answer the questions that follow.Class intervalFrequency10−20520−301030−40440−501550−6012What is the class size ?
Answer» Question 82(vi) Given below is a frequency distribution table. Read it and answer the questions that follow. $\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 10 - 20 & 5 20 - 30 & 10 30 - 40 & 4 40 - 50 & 15 50 - 60 & 12 \end{matrix}$ What is the class size ?

6291.

Question 82(vi)Given below is a frequency distribution table. Read it and answer the questions that follow.Class intervalFrequency10−20520−301030−40440−501550−6012What is the class size ?

Answer»

Question 82(vi)

Given below is a frequency distribution table. Read it and answer the questions that follow.

$\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 10 - 20 & 5 20 - 30 & 10 30 - 40 & 4 40 - 50 & 15 50 - 60 & 12 \end{matrix}$

What is the class size ?

Discussion

6292.	The Line segment AB has 2 points P and Q lying on it as shown in the figure.The Ratio between BQ , QP and AP is 5 : 2 : 3. If the length of AP is 6 cm, what is the length of AB?
Answer» The Line segment AB has 2 points P and Q lying on it as shown in the figure. The Ratio between BQ , QP and AP is 5 : 2 : 3. If the length of AP is 6 cm, what is the length of AB?

6292.

The Line segment AB has 2 points P and Q lying on it as shown in the figure.The Ratio between BQ , QP and AP is 5 : 2 : 3. If the length of AP is 6 cm, what is the length of AB?

Answer»

The Line segment AB has 2 points P and Q lying on it as shown in the figure.

The Ratio between BQ , QP and AP is 5 : 2 : 3. If the length of AP is 6 cm, what is the length of AB?

Discussion

6293.	Find the total surface area of a hollow right circular cylinder with an inner radius equal to r, outer radius equal to R and height is h.
Answer» Find the total surface area of a hollow right circular cylinder with an inner radius equal to r, outer radius equal to R and height is h.

Discussion

6294.	Can you construct a unique triangle with any 3 possible measurements of sides or angles?
Answer» Can you construct a unique triangle with any 3 possible measurements of sides or angles?

Discussion

6295.	Question 1(k)State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expression.20 = 5y
Answer» Question 1(k) State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expression. 20 = 5y

6295.

Question 1(k)State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expression.20 = 5y

Answer»

Question 1(k)

State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expression.

20 = 5y

Discussion

6296.	Four alternative options are given for each of the following statements. Select the correct option.The time in which simple interest on a certain sum be 0.15 times the principal at 10% per annum is:A. 1.5 years B. 1 yearC. 2 yearsD. 2.5 years
Answer» Four alternative options are given for each of the following statements. Select the correct option. The time in which simple interest on a certain sum be 0.15 times the principal at 10% per annum is: A. 1.5 years B. 1 year C. 2 years D. 2.5 years

6296.

Four alternative options are given for each of the following statements. Select the correct option.The time in which simple interest on a certain sum be 0.15 times the principal at 10% per annum is:A. 1.5 years B. 1 yearC. 2 yearsD. 2.5 years

Answer»

Four alternative options are given for each of the following statements.

Select the correct option.

The time in which simple interest on a certain sum be 0.15 times the principal at 10% per annum is:

A. 1.5 years

B. 1 year

C. 2 years

D. 2.5 years

Discussion

6297.	At a stretch, Rashi can study for 3 hours, while Rashid can study for 5 hours. For how many more hours can Rashid study than Rashi at a stretch? Express in terms of percentage.
Answer» At a stretch, Rashi can study for 3 hours, while Rashid can study for 5 hours. For how many more hours can Rashid study than Rashi at a stretch? Express in terms of percentage.

Discussion

6298.	Hermaan scored 40 marks in a test, getting 4 marks for each right answer and losing 1 mark for each wrong answer. If the number of questions he answered wrongly is 1 less than the number of questions he answered correctly, then find the number of questions he answered correctly.
Answer» Hermaan scored 40 marks in a test, getting 4 marks for each right answer and losing 1 mark for each wrong answer. If the number of questions he answered wrongly is 1 less than the number of questions he answered correctly, then find the number of questions he answered correctly.

Discussion

6299.	Find the average price of the wheat mixture – 5 kgs at Rs.16/kg and 10 kgs at Rs.12/kg. Ans. Rs.__ (upto 2 decimal places).
Answer» Find the average price of the wheat mixture – 5 kgs at Rs.16/kg and 10 kgs at Rs.12/kg. Ans. Rs.__ (upto 2 decimal places).

Discussion

6300.	Which of the following figures represents a triangular number?
Answer» Which of the following figures represents a triangular number?

Discussion

Explore topic-wise InterviewSolutions in .

Question 1(vi)Multiply the binomials:(34a2+3b2)and 4(a2−23b2)

Question 27In the following question, out of the four options, only one is correct. Write the correct answer.(110)0 is equal to (a) 0(b) 110(c) 1(d)10

if the mean of p,q,r,s and t is 5 then the value of (p-5)+(q-5)+(r-5)+(s-5)+(t-5)

If we subtract −4x2y from 2x2y we get .

Question 8Find and correct the errors in the statement: (2x)2+5x=4x+5x=9x

Question 95 (v)Look at the map given below and answer the following question.Which sector has the maximum number of houses?

If 3x=181, then the value of x is

The cost of a scooter depreciates every year by 15% of its value at the beginning of the year. If the present cost of the scooter is 8,000; find its cost : (i) after one year (ii) after 2 years.

Three sets A,B, and C are defined as, A={x:x is a whole number less than equal to 10}B={x:x is a letter in the word "ARITHMETIC"}C={x:x is a prime number less than 30}With respect to the cardinality of these sets, choose the correct option.

Find three consecutive even numbers whose sum is 234. [3 MARKS]

In a quiz program the correct answer gets you 2 marks. For each wrong answer, one mark is deducted from the total score. There are 50 questions to be answered. If Preeti scored 76 marks for the quiz, how many of her questions were right? Note: Preeti attempted all the 50 questions

if 3^2017 is divisible by 10,then the remainder is

The multiplication identity for rational numbers is represented by which point in the given number line?

The cost of diamond varies directly as the square of its weight. A diamond weighting 10 decigrams costs Rs. 8,000. If it breaks into two pieces whose weights are in the ratio 3 : 2, then the loss incurred (in rupees) is ___.

Question 95 (vii) Look at the map given below and answer the following question. In the map, how many sectors have been shown?

Simplify each of the following products:(i) x2-25 25-x2 - x2+2x(ii) x2+x-2 x2-x+2(iii) x3-3x2-x x2-3x+1 (iv) 2x4-4x2+1 (2x4-4x2-1)

Question 86 (xi) Using suitable identities, evaluate the following: 101×103

18. In a right angle triangle, the square of the hypotenuse is equal to twice the product of the other 2 sides. Find the acute angles of the triangle.

The volumes of the two cubes are in the ratio 64:27. Find the ratio of their surface areas.

Convert the ratio 24:25 to percentage.

Show that the following system of linear equations has no solution: x+2y≤3, 3x+4y≥12, x≥0, y≥1

Given that the area a of a circle with radius r and diameter d is 100 unit2, what is the value of d2?

Let F1 be the set of all parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane, then F1 is equal to

Question 101By what smallest number should 216 be divided so that the quotient is a perfect square? Also, find the square root of the quotient.

Factorise: 4x2−12ax−y2−z2−2yz+9a2

Question 17Common factor between 17abc,34ab2,51a2b isa) 17abcb) 17abc) 17acd) 17a2b2c

Express 3825 as the product of its prime factors.

Number of students whose favorite colour is orange is:

Solve : 6y−52y=79

17.bx*x +abx=0 find value of x

A pie chart basically shows the relationship between___.

The difference between simple interest and compound interest on a sum for 2 years at 8% per annum is Rs. 160. If the interests were compounded half-yearly, the difference in interests in two years will be nearly

The value of multiplicative inverse of 7/4x8/7(1/2+1/3) is

Classify algebraic expression on the basis of their number of terms.

Which of the following identity can be used to factorize x2−4y2?

2xp+4xq−3yp−6yq=(p+2q)×

What will be the ratio of the areas of squares, when the diagonal of one square is twice of the other.

Question 6Simplify (256)−(4−32)

The simple interest on a certain sum of money is 3/8 of the sum in 25/4 years. Find the rate percent charged.

Find the simple interest on Rs 2,500 for 4 years at per annum.

Question 82(vi)Given below is a frequency distribution table. Read it and answer the questions that follow.Class intervalFrequency10−20520−301030−40440−501550−6012What is the class size ?

The Line segment AB has 2 points P and Q lying on it as shown in the figure.The Ratio between BQ , QP and AP is 5 : 2 : 3. If the length of AP is 6 cm, what is the length of AB?

Find the total surface area of a hollow right circular cylinder with an inner radius equal to r, outer radius equal to R and height is h.

Can you construct a unique triangle with any 3 possible measurements of sides or angles?

Question 1(k)State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expression.20 = 5y

Four alternative options are given for each of the following statements. Select the correct option.The time in which simple interest on a certain sum be 0.15 times the principal at 10% per annum is:A. 1.5 years B. 1 yearC. 2 yearsD. 2.5 years

At a stretch, Rashi can study for 3 hours, while Rashid can study for 5 hours. For how many more hours can Rashid study than Rashi at a stretch? Express in terms of percentage.

Hermaan scored 40 marks in a test, getting 4 marks for each right answer and losing 1 mark for each wrong answer. If the number of questions he answered wrongly is 1 less than the number of questions he answered correctly, then find the number of questions he answered correctly.

Find the average price of the wheat mixture – 5 kgs at Rs.16/kg and 10 kgs at Rs.12/kg. Ans. Rs.__ (upto 2 decimal places).

Which of the following figures represents a triangular number?