25365 + Interview Questions in Mathematics Page 176 InterviewSolution

8751.	If 14 kg of pulses cost ₹ 882, what is the cost of 22 kg of pulses?(a) ₹ 1254(b) ₹ 1298 (c) ₹ 1342(d) ₹ 1386
Answer» If 14 kg of pulses cost ₹ 882, what is the cost of 22 kg of pulses? (a) ₹ 1254 (b) ₹ 1298 (c) ₹ 1342 (d) ₹ 1386

Discussion

8752.	A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the following table: OutcomeFrequency116521753180415051456185 What is the probability of getting a 2 or a 4?
Answer» A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the following table: $\begin{matrix} O u t c o m e & F r e q u e n c y 1 & 165 2 & 175 3 & 180 4 & 150 5 & 145 6 & 185 \end{matrix}$ What is the probability of getting a 2 or a 4?

8752.

A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the following table: OutcomeFrequency116521753180415051456185 What is the probability of getting a 2 or a 4?

Answer»

A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the following table:

$\begin{matrix} O u t c o m e & F r e q u e n c y 1 & 165 2 & 175 3 & 180 4 & 150 5 & 145 6 & 185 \end{matrix}$

What is the probability of getting a 2 or a 4?

Discussion

8753.	In a set of 216 marbles, there are x black marbles and y white marbles. If the number of white marbles is 7 times the number of black marbles, how many black marbles are there?
Answer» In a set of $216$ marbles, there are $x$ black marbles and $y$ white marbles. If the number of white marbles is $7$ times the number of black marbles, how many black marbles are there?

Discussion

8754.	Which of the following is true for the commutativity of addition and multiplication of the numbers 7 and 132?
Answer» $Which of the following is true for the commutativity of addition and multiplication of the numbers 7 and \frac{13}{2} ?$

Discussion

8755.	Question 83 (xvii)Multiply the following:(pq - 2r), (pq - 2r)
Answer» Question 83 (xvii) Multiply the following: (pq - 2r), (pq - 2r)

Discussion

8756.	Factorize }:8a^3-2a^2b-15ab^2=
Answer» Factorize }:8a^3-2a^2b-15ab^2=

Discussion

8757.	-7/3*(12/5 -4/21)
Answer» -7/3*(12/5 -4/21)

Discussion

8758.	Find the sum of interior angles of a polygon with 12 sides in degrees.1800∘1200∘1500∘1400∘
Answer» Find the sum of interior angles of a polygon with $12$ sides in degrees. $1800^{\circ}$ $1200^{\circ}$ $1500^{\circ}$ $1400^{\circ}$

8758.

Find the sum of interior angles of a polygon with 12 sides in degrees.1800∘1200∘1500∘1400∘

Answer»

Find the sum of interior angles of a polygon with $12$ sides in degrees.

$1800^{\circ}$
$1200^{\circ}$
$1500^{\circ}$
$1400^{\circ}$

Discussion

8759.	Which among the following pairs of decimal numbers is equal?Pair A: 10.101010 and 01.010010Pair B: 0.1010 and 10.1010000Pair C: 11.011011 and 11.0101Pair D: 0.1318 and 0.1318000
Answer» Which among the following pairs of decimal numbers is equal? Pair A: $10.101010$ and $01.010010$ Pair B: $0.1010$ and $10.1010000$ Pair C: $11.011011$ and $11.0101$ Pair D: $0.1318$ and $0.1318000$

Discussion

8760.	Both Arjun and Rahul went for jogging the next day and stopped at a place where kids were playing on a slide as shown below Two slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders. The lengths of both the slides are same. Which of the following is/are true?
Answer» Both Arjun and Rahul went for jogging the next day and stopped at a place where kids were playing on a slide as shown below Two slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders. The lengths of both the slides are same. Which of the following is/are true?

8760.

Both Arjun and Rahul went for jogging the next day and stopped at a place where kids were playing on a slide as shown below Two slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders. The lengths of both the slides are same. Which of the following is/are true?

Answer»

Both Arjun and Rahul went for jogging the next day and stopped at a place where kids were playing on a slide as shown below

Two slides which are directed in the two opposite directions are combined with the vertical stairs in the midway between the two sliders. The lengths of both the slides are same. Which of the following is/are true?

Discussion

8761.	At Srinagar temperature was −5∘C on Monday and then it dropped by 2∘C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4∘C. What was the temperature on Wednesday?
Answer» At Srinagar temperature was $- 5^{\circ} C$ on Monday and then it dropped by $2^{\circ} C$ on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by $4^{\circ} C$ . What was the temperature on Wednesday?

Discussion

8762.	Question 56(i)Plot a line graph for the variables p and q, where p is two times q that is the equation is p=2q. Then, find the value of p when q=3.
Answer» Question 56(i) Plot a line graph for the variables p and q, where p is two times q that is the equation is p=2q. Then, find the value of p when q=3.

Discussion

8763.	Question 63Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:Two consecutive even integers.
Answer» Question 63 Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement: Two consecutive even integers.

8763.

Question 63Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:Two consecutive even integers.

Answer»

Question 63

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

Two consecutive even integers.

Discussion

8764.	What is the probability of choosing a vowel from the alphabet?
Answer» What is the probability of choosing a vowel from the alphabet?

Discussion

8765.	Find the value of 'x' from the figure.
Answer» Find the value of 'x' from the figure.

8765.

Find the value of 'x' from the figure.

Answer»

Find the value of 'x' from the figure.

Discussion

8766.	For each n ∈ N, 102n – 1 + 1 is divisible by _____________.
Answer» For each n ∈ N, 10^{2n – 1} + 1 is divisible by _____________.

Discussion

8767.	If U_n =\begin{vmatrix}n&1&5 n^2&2N+1&2N+1 n^3&3N^2&3N\end{vmatrix} then find the value of {†extstyle∑_{n=1}^N}U_n
Answer» If U_n =\begin{vmatrix}n&1&5 n^2&2N+1&2N+1 n^3&3N^2&3N\end{vmatrix} then find the value of {†extstyle∑_{n=1}^N}U_n

Discussion

8768.	If x^2=16^xThen, find the value of x.
Answer» If x^2=16^x Then, find the value of x.

Discussion

8769.	Find the value of a which a polynomial 2x square+ax+2 has 1 as it 0 x=1
Answer» Find the value of a which a polynomial 2x square+ax+2 has 1 as it 0 x=1

Discussion

8770.	Ravish wanted to make a temporary shelter for his car by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). How much tarpaulin would be required to make the shelter of height 2.5 m with base dimensions 4 m×3 m?
Answer» Ravish wanted to make a temporary shelter for his car by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). How much tarpaulin would be required to make the shelter of height 2.5 m with base dimensions $4 m \times 3 m ?$

Discussion

8771.	7+26-7-26=__________.
Answer» $\sqrt{7 + 2 \sqrt{6}} - \sqrt{7 - 2 \sqrt{6}} =__________.$

Discussion

8772.	32. Find all three digit numbers abc (with a ≠ 0) such that a + b + c is divisible by 26.
Answer» 32. Find all three digit numbers abc (with a ≠ 0) such that a + b + c is divisible by 26.

Discussion

8773.	Question 8Solve the equation -4 + (-1) + 2 + . . . . . + x = 437.
Answer» Question 8 Solve the equation -4 + (-1) + 2 + . . . . . + x = 437.

Discussion

8774.	Question 1(x)Find the cube root of each of the following numbers by prime factorization method:91125
Answer» Question 1(x) Find the cube root of each of the following numbers by prime factorization method: 91125

Discussion

8775.	Find two rational numbers between −29 and 59 .
Answer» Find two rational numbers between $\frac{- 2}{9}$ and $\frac{5}{9}$ .

Discussion

8776.	Factorise : a2−5a+6
Answer» Factorise : $a^{2} - 5 a + 6$

Discussion

8777.	If,show that
Answer» If, show that

Discussion

8778.	Which of the points P(0,3), Q(1,0), R(0,1), S(5,0), T(1,2) do not lie on the x-axis ?
Answer» Which of the points P(0,3), Q(1,0), R(0,1), S(5,0), T(1,2) do not lie on the x-axis ?

Discussion

8779.	A man sold rs100 shares paying 10% dividend at a discount of 25% and invested the proceeds in rs100 shares paying 16% dividend quoted at rs80 and thus increased his income by rs2000.Find the number of shares sold by him.
Answer» A man sold rs100 shares paying 10% dividend at a discount of 25% and invested the proceeds in rs100 shares paying 16% dividend quoted at rs80 and thus increased his income by rs2000.Find the number of shares sold by him.

Discussion

8780.	What is the cube root of -216?
Answer» What is the cube root of -216?

Discussion

8781.	Find three consecutive odd numbers whose sum is 147.
Answer» Find three consecutive odd numbers whose sum is 147.

Discussion

8782.	The value of a machine depreciates at the rate of 10% per annum. What will be its value 2 years hence, if the present value is Rs. 100000? Also, find the total depreciation during this period.
Answer» The value of a machine depreciates at the rate of $10 %$ per annum. What will be its value 2 years hence, if the present value is Rs. 100000? Also, find the total depreciation during this period.

Discussion

8783.	Question 32 If two quantities p and q vary inversely with each other, then___of their corresponding values remains constant.
Answer» Question 32 If two quantities p and q vary inversely with each other, then___of their corresponding values remains constant.

8783.

Question 32 If two quantities p and q vary inversely with each other, then___of their corresponding values remains constant.

Answer»

Question 32

If two quantities p and q vary inversely with each other, then___of their corresponding values remains constant.

Discussion

8784.	Find the cube root of 91125 by prime factorisation method.
Answer» Find the cube root of 91125 by prime factorisation method.

Discussion

8785.	Question 33The value of (a+b)2−(a−b)2 isa) 4abb) −4abc) 2a2+2b2d) 2a2−2b2
Answer» Question 33 The value of $(a + b)^{2} - (a - b)^{2}$ is a) $4 a b$ b) $- 4 a b$ c) $2 a^{2} + 2 b^{2}$ d) $2 a^{2} - 2 b^{2}$

Discussion

8786.	Give reasons for the following: (a) A square can be thought of as a special rectangle. (b) A rectangle can be thought of as a special parallelogram. (c) A square can be thought of as a special rhombus. (d) Squares, rectangles, parallelograms are all quadrilaterals. (e) Square is also a parallelogram.
Answer» Give reasons for the following: (a) A square can be thought of as a special rectangle. (b) A rectangle can be thought of as a special parallelogram. (c) A square can be thought of as a special rhombus. (d) Squares, rectangles, parallelograms are all quadrilaterals. (e) Square is also a parallelogram.

8786.

Give reasons for the following: (a) A square can be thought of as a special rectangle. (b) A rectangle can be thought of as a special parallelogram. (c) A square can be thought of as a special rhombus. (d) Squares, rectangles, parallelograms are all quadrilaterals. (e) Square is also a parallelogram.

Answer»

Give
reasons for the following:

(a) A
square can be thought of as a special rectangle.

(b) A
rectangle can be thought of as a special parallelogram.

(c) A
square can be thought of as a special rhombus.

(d) Squares,
rectangles, parallelograms are all quadrilaterals.

(e) Square
is also a parallelogram.

Discussion

8787.	What is the average of a data set?
Answer» What is the average of a data set?

Discussion

8788.	49. Calculate the percentage of occupied area in two dimensional hcp lattice?
Answer» 49. Calculate the percentage of occupied area in two dimensional hcp lattice?

Discussion

8789.	In the given figure, ABC is an isosceles triangle whose side AC is produced to E. Through C, CD is drawn parallel to BA. The value of x is(a) 52°(b) 76°(c) 156°(d) 104°
Answer» In the given figure, ABC is an isosceles triangle whose side AC is produced to E. Through C, CD is drawn parallel to BA. The value of x is (a) 52° (b) 76° (c) 156° (d) 104°

Discussion

8790.	What is the slope of the line shown?
Answer» What is the slope of the line shown?

Discussion

8791.	Question 2Show that cube of any positive integer is of the form 4m, 4m + 1 or 4m + 3, for some integer m.
Answer» Question 2 Show that cube of any positive integer is of the form 4m, 4m + 1 or 4m + 3, for some integer m.

Discussion

8792.	Three cubes of sides 8 cm, 6 cm and 1 cm are melted to form a new cube. The surface area of the cube so formed is __________.
Answer» Three cubes of sides 8 cm, 6 cm and 1 cm are melted to form a new cube. The surface area of the cube so formed is __________.

Discussion

8793.	1+a+b+ab
Answer» 1+a+b+ab

Discussion

8794.	Question 9Is 0.3 the multiplicative inverse of 313? Why or why not?
Answer» Question 9 Is 0.3 the multiplicative inverse of $3 \frac{1}{3}$ ? Why or why not?

Discussion

8795.	Question 159(iv) Find a single repeater machine that will do the same work as each hook-up.
Answer» Question 159(iv) Find a single repeater machine that will do the same work as each hook-up.

8795.

Question 159(iv) Find a single repeater machine that will do the same work as each hook-up.

Answer»

Question 159(iv)

Find a single repeater machine that will do the same work as each hook-up.

Discussion

8796.	The amount of H2O2 present in 1 L of 1.5 N H2O2 solution is
Answer» The amount of $H_{2} O_{2}$ present in 1 L of 1.5 N $H_{2} O_{2}$ solution is

8796.

The amount of H2O2 present in 1 L of 1.5 N H2O2 solution is

Answer»

The amount of $H_{2} O_{2}$ present in 1 L of 1.5 N $H_{2} O_{2}$ solution is

Discussion

8797.	Malti bnought a VCR for Rs.19980 including VAT.If the original price of VCR be Rs. 18500,find the rate of VAT.
Answer» $Malti bnought a VCR for Rs.19980 including VAT.If the original price of VCR be Rs. 18500,find the rate of VAT.$

Discussion

8798.	To buy a cycle for Rs. 14000, you pay Rs. 2000 down payment and Rs. 2500 as a trade-in. Find the balance amount.
Answer» To buy a cycle for Rs. 14000, you pay Rs. 2000 down payment and Rs. 2500 as a trade-in. Find the balance amount.

Discussion

8799.	3x+x=2x+6. The value of x in the given equation is ___.
Answer» $3 x + x = 2 x + 6$ . The value of $x$ in the given equation is ___.

Discussion

8800.	Sum of three consecutive numbers is 39. Find the numbers.
Answer» Sum of three consecutive numbers is 39. Find the numbers.

Discussion

Explore topic-wise InterviewSolutions in .

If 14 kg of pulses cost ₹ 882, what is the cost of 22 kg of pulses?(a) ₹ 1254(b) ₹ 1298 (c) ₹ 1342(d) ₹ 1386

A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the following table: OutcomeFrequency116521753180415051456185 What is the probability of getting a 2 or a 4?

In a set of 216 marbles, there are x black marbles and y white marbles. If the number of white marbles is 7 times the number of black marbles, how many black marbles are there?

Which of the following is true for the commutativity of addition and multiplication of the numbers 7 and 132?

Question 83 (xvii)Multiply the following:(pq - 2r), (pq - 2r)

Factorize }:8a^3-2a^2b-15ab^2=

-7/3*(12/5 -4/21)

Find the sum of interior angles of a polygon with 12 sides in degrees.1800∘1200∘1500∘1400∘

Which among the following pairs of decimal numbers is equal?Pair A: 10.101010 and 01.010010Pair B: 0.1010 and 10.1010000Pair C: 11.011011 and 11.0101Pair D: 0.1318 and 0.1318000

At Srinagar temperature was −5∘C on Monday and then it dropped by 2∘C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4∘C. What was the temperature on Wednesday?

Question 56(i)Plot a line graph for the variables p and q, where p is two times q that is the equation is p=2q. Then, find the value of p when q=3.

Question 63Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:Two consecutive even integers.

What is the probability of choosing a vowel from the alphabet?

Find the value of 'x' from the figure.

For each n ∈ N, 102n – 1 + 1 is divisible by _____________.

If U_n =\begin{vmatrix}n&1&5 n^2&2N+1&2N+1 n^3&3N^2&3N\end{vmatrix} then find the value of {†extstyle∑_{n=1}^N}U_n

If x^2=16^xThen, find the value of x.

Find the value of a which a polynomial 2x square+ax+2 has 1 as it 0 x=1

7+26-7-26=__________.

32. Find all three digit numbers abc (with a ≠ 0) such that a + b + c is divisible by 26.

Question 8Solve the equation -4 + (-1) + 2 + . . . . . + x = 437.

Question 1(x)Find the cube root of each of the following numbers by prime factorization method:91125

Find two rational numbers between −29 and 59 .

Factorise : a2−5a+6

If,show that

Which of the points P(0,3), Q(1,0), R(0,1), S(5,0), T(1,2) do not lie on the x-axis ?

A man sold rs100 shares paying 10% dividend at a discount of 25% and invested the proceeds in rs100 shares paying 16% dividend quoted at rs80 and thus increased his income by rs2000.Find the number of shares sold by him.

What is the cube root of -216?

Find three consecutive odd numbers whose sum is 147.

The value of a machine depreciates at the rate of 10% per annum. What will be its value 2 years hence, if the present value is Rs. 100000? Also, find the total depreciation during this period.

Question 32 If two quantities p and q vary inversely with each other, then___of their corresponding values remains constant.

Find the cube root of 91125 by prime factorisation method.

Question 33The value of (a+b)2−(a−b)2 isa) 4abb) −4abc) 2a2+2b2d) 2a2−2b2

What is the average of a data set?

49. Calculate the percentage of occupied area in two dimensional hcp lattice?

In the given figure, ABC is an isosceles triangle whose side AC is produced to E. Through C, CD is drawn parallel to BA. The value of x is(a) 52°(b) 76°(c) 156°(d) 104°

What is the slope of the line shown?

Question 2Show that cube of any positive integer is of the form 4m, 4m + 1 or 4m + 3, for some integer m.

Three cubes of sides 8 cm, 6 cm and 1 cm are melted to form a new cube. The surface area of the cube so formed is __________.

1+a+b+ab

Question 9Is 0.3 the multiplicative inverse of 313? Why or why not?

Question 159(iv) Find a single repeater machine that will do the same work as each hook-up.

The amount of H2O2 present in 1 L of 1.5 N H2O2 solution is

Malti bnought a VCR for Rs.19980 including VAT.If the original price of VCR be Rs. 18500,find the rate of VAT.

To buy a cycle for Rs. 14000, you pay Rs. 2000 down payment and Rs. 2500 as a trade-in. Find the balance amount.

3x+x=2x+6. The value of x in the given equation is ___.

Sum of three consecutive numbers is 39. Find the numbers.