25365 + Interview Questions in Mathematics Page 190 InterviewSolution

9451.	Which of the following numbers can be the cube root of 85184
Answer» Which of the following numbers can be the cube root of 85184

Discussion

9452.	What is the size of the sheet you can get from 1 g gold?
Answer» What is the size of the sheet you can get from 1 g gold?

Discussion

9453.	Find a smallest integer whose next consecutive number is multiple of both 5 and 3. [2 MARKS]
Answer» Find a smallest integer whose next consecutive number is multiple of both 5 and 3. [2 MARKS]

Discussion

9454.	In a SALE there is a 60% discount on shirts marked at ₹ 2000. Find its selling price.
Answer» In a SALE there is a 60% discount on shirts marked at ₹ 2000. Find its selling price.

Discussion

9455.	Factorise - -12pq^2r+28pq^2r+8pr^2
Answer» Factorise - -12pq^2r+28pq^2r+8pr^2

Discussion

9456.	Question 21 Both x and y are said to vary___with each other, if for some positive number k, xy=k.
Answer» Question 21 Both x and y are said to vary___with each other, if for some positive number k, xy=k.

9456.

Question 21 Both x and y are said to vary___with each other, if for some positive number k, xy=k.

Answer»

Question 21

Both x and y are said to vary___with each other, if for some positive number k, xy=k.

Discussion

9457.	Find the measure of each ext angle of a regular polygon of 10sides 9sides
Answer» Find the measure of each ext angle of a regular polygon of 10sides 9sides

Discussion

9458.	A uniform rmaking angle 30^° from horizontal. If the ring rolls without slip, then its centre will move withacceleration.g(1)9(2)g(3)(4) g
Answer» A uniform rmaking angle 30^° from horizontal. If the ring rolls without slip, then its centre will move withacceleration.g(1)9(2)g(3)(4) g

Discussion

9459.

The number of customers who came to a juice centre during one week is given in the table below. Make two different bar graphs to show this data. (Scale : on Y - axis, 1cm = 10 customers, on Y - axis, 1cm = 5 customers) Type of juice Orange Pineapple Apple Mango Pomegranate No. of Customers 50 30 25 65 10

Answer» The number of customers who came to a juice centre during one week is given in the table below. Make two different bar graphs to show this data. (Scale : on Y - axis, 1cm = 10 customers, on Y - axis, 1cm = 5 customers)

Type of juice	Orange	Pineapple	Apple	Mango	Pomegranate
No. of Customers	50	30	25	65	10

Discussion

9460.	(16)1.75= ?
Answer» (16) $^{1.75}$ = ?

Discussion

9461.	Find values of 'm' for which x*x+3xy+x+my-m has two linear factors in x and y with integer coefficients
Answer» Find values of 'm' for which x*x+3xy+x+my-m has two linear factors in x and y with integer coefficients

Discussion

9462.	Let the domain of the function f(x)=log4(log5(log3(18x−x2−77))) be (a,b). Then the value of the integral b∫asin3x(sin3x+sin3(a+b−x))dx is equal to
Answer» Let the domain of the function $f (x) = {log}_{4} ({log}_{5} ({log}_{3} (18 x - x^{2} - 77)))$ be $(a, b)$ . Then the value of the integral $b \int a \frac{{sin}^{3} x}{({sin}^{3} x + {sin}^{3} (a + b - x))} d x$ is equal to

Discussion

9463.	2. One of the diagonals of a rhombus and its sides are equal angles of the Rhombus A)60,120,60,120 B)70,110,70,110 C)50,90,50,90 D)100,30,100,30
Answer» 2. One of the diagonals of a rhombus and its sides are equal angles of the Rhombus A)60,120,60,120 B)70,110,70,110 C)50,90,50,90 D)100,30,100,30

Discussion

9464.	What is the difference between the simple interest (S.I) on a sum of ₹2,000 being calculated at 6% for 3 years and 7% for 3 years?
Answer» What is the difference between the simple interest (S.I) on a sum of ₹2,000 being calculated at 6% for 3 years and 7% for 3 years?

Discussion

9465.	What should be multiplied to 43200 to make it a perfect cube?
Answer» What should be multiplied to 43200 to make it a perfect cube?

Discussion

9466.	The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is
Answer» The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is

Discussion

9467.	The average weight of 25 students of grade 7 is 40 kg. If the weight of teacher is included, then the average weight becomes 41.5 kg. Find the weight of the teacher.
Answer» The average weight of $25$ students of grade $7$ is $40 kg$ . If the weight of teacher is included, then the average weight becomes $41.5 kg$ . Find the weight of the teacher.

Discussion

9468.	An iron spherical ball of radius 21cm is melted and it is re-casted in hemispheres of radius 7cm. The number of balls formed will be___
Answer» An iron spherical ball of radius 21cm is melted and it is re-casted in hemispheres of radius 7cm. The number of balls formed will be ___

Discussion

9469.	Solve this sum :ABCD is a trapezium in which AB//DC and its diagonals intersect each other at O. Using Basic Proportionality Theorem prove that AO/BO = CO/DO.
Answer» Solve this sum : ABCD is a trapezium in which AB//DC and its diagonals intersect each other at O. Using Basic Proportionality Theorem prove that AO/BO = CO/DO.

Discussion

9470.	Match the following numbers so that their product is equal to 318000.
Answer» Match the following numbers so that their product is equal to 318000.

Discussion

9471.	Divide 65a3m2p4 by 13a2mp2.
Answer» Divide $65 a^{3} m^{2} p^{4}$ by $13 a^{2} m p^{2} .$

Discussion

9472.	If three consecutive numbers are divided by 17, 7, 6 respectively and the quotients are added, the result is 13. The second number is35
Answer» If three consecutive numbers are divided by 17, 7, 6 respectively and the quotients are added, the result is 13. The second number is 35

Discussion

9473.	If A is targeting to B,B and C are targeting to A. The probability of hitting the target by A,B and C are 23,12,13 respectively. Then the probability that B hits the target but C does not is
Answer» If $A$ is targeting to $B, B$ and $C$ are targeting to $A .$ The probability of hitting the target by $A, B$ and $C$ are $\frac{2}{3}, \frac{1}{2}, \frac{1}{3}$ respectively. Then the probability that $B$ hits the target but $C$ does not is

Discussion

9474.	Using long division method, find the value of (3x^4 + 5x^3 - 3x^2 + x + 1) ÷ (2x^2 + 1)
Answer» Using long division method, find the value of (3x^4 + 5x^3 - 3x^2 + x + 1) ÷ (2x^2 + 1)

Discussion

9475.	Find the components along the coordinate axes of the position vector of each of the following points:(i) P(3, 2)(ii) Q(–5, 1)(iii) R(–11, –9)(iv) S(4, –3)
Answer» Find the components along the coordinate axes of the position vector of each of the following points: (i) P(3, 2) (ii) Q(–5, 1) (iii) R(–11, –9) (iv) S(4, –3)

Discussion

9476.	Evaluate : 3√343
Answer» Evaluate : $\sqrt[3]{343}$

Discussion

9477.	∑_{n=0}^{50}i^{(2n+1)!
Answer» ∑_{n=0}^{50}i^{(2n+1)!

Discussion

9478.	Question 2(iii) State True or False. If square of a number ends with 5, then its cube ends with 25.
Answer» Question 2(iii) State True or False. If square of a number ends with 5, then its cube ends with 25.

9478.

Question 2(iii) State True or False. If square of a number ends with 5, then its cube ends with 25.

Answer»

Question 2(iii)

State True or False.
If square of a number ends with 5, then its cube ends with 25.

Discussion

9479.	Find the cube root of 3√500×54
Answer» Find the cube root of $\sqrt[3]{500 \times 54}$

Discussion

9480.	Find the number whose sixth part exceeds its eight part by 3.
Answer» Find the number whose sixth part exceeds its eight part by 3.

Discussion

9481.	If ½ of 30 = 15, then what is 1/3 of 75 & 1/5 of 150
Answer» If ½ of 30 = 15, then what is 1/3 of 75 & 1/5 of 150

Discussion

9482.	Divide{52(m4−5m3−24m2)} by {13m(m−8)}.
Answer» Divide ${52 (m^{4} - 5 m^{3} - 24 m^{2})} by {13 m (m - 8)} .$

Discussion

9483.	Which of the following is equivalent to 115−√3?
Answer» $Which of the following is equivalent to \frac{11}{5 - \sqrt{3}}$ ?

Discussion

9484.	The length of a rectangle is 3x−4y+6z and its perimeter is 8x+9y+18z. Breadth of the rectangle is
Answer» The length of a rectangle is $3 x - 4 y + 6 z$ and its perimeter is $8 x + 9 y + 18 z$ . Breadth of the rectangle is

Discussion

9485.	If y and y are real and f(xy) =f(x) f(y) . f(0) not equal to 0. Find f(2019)
Answer» If y and y are real and f(xy) =f(x) f(y) . f(0) not equal to 0. Find f(2019)

Discussion

9486.	The median of the data : 4,4,5,7,6,7,7,12,3 is (a) 4(b) 5(c) 6(d) 7
Answer» The median of the data : 4,4,5,7,6,7,7,12,3 is (a) 4 (b) 5 (c) 6 (d) 7

Discussion

9487.	Question 8A grouped frequency table with class intervals of equal sizes using 250 – 270 (270 not included in this interval) as one of the class intervals is constructed for the following data.268, 220, 368, 258, 242, 310, 272, 342310, 290, 300, 320, 319, 304, 402, 318406, 292, 354, 278, 210, 240, 330, 316,406, 215, 258, 236.The frequency of class 310 - 330 is:A) 4B) 5C) 6D) 7
Answer» Question 8 A grouped frequency table with class intervals of equal sizes using 250 – 270 (270 not included in this interval) as one of the class intervals is constructed for the following data. 268, 220, 368, 258, 242, 310, 272, 342 310, 290, 300, 320, 319, 304, 402, 318 406, 292, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236. The frequency of class 310 - 330 is: A) 4 B) 5 C) 6 D) 7

9487.

Question 8A grouped frequency table with class intervals of equal sizes using 250 – 270 (270 not included in this interval) as one of the class intervals is constructed for the following data.268, 220, 368, 258, 242, 310, 272, 342310, 290, 300, 320, 319, 304, 402, 318406, 292, 354, 278, 210, 240, 330, 316,406, 215, 258, 236.The frequency of class 310 - 330 is:A) 4B) 5C) 6D) 7

Answer»

Question 8

A grouped frequency table with class intervals of equal sizes using 250 – 270 (270 not included in this interval) as one of the class intervals is constructed for the following data.

268, 220, 368, 258, 242, 310, 272, 342

310, 290, 300, 320, 319, 304, 402, 318

406, 292, 354, 278, 210, 240, 330, 316,

406, 215, 258, 236.

The frequency of class 310 - 330 is:

A) 4

B) 5

C) 6

D) 7

Discussion

9488.	Please help me to clear probability of data handling.
Answer» Please help me to clear probability of data handling.

Discussion

9489.

Complete the following table. Sr. No. Number Power of the root Root of the power (1) 22532 Cube of square root of 225 Square root of cube of 225 (2) 4545 (3) 8167 (4) 100410 (5) 2137

Answer» Complete the following table.

Sr. No.	Number	Power of the root	Root of the power
(1)	${(225)}^{\frac{3}{2}}$	Cube of square root of 225	Square root of cube of 225
(2)	${(45)}^{\frac{4}{5}}$
(3)	${(81)}^{\frac{6}{7}}$
(4)	${(100)}^{\frac{4}{10}}$
(5)	${(21)}^{\frac{3}{7}}$

Discussion

9490.	Factorize 194 xz3 and write it in product form
Answer» Factorize $194 x z^{3}$ and write it in product form

Discussion

9491.	Use identity (x+a) (x +b) = x2 + (a+b) x +ab (4x + 5 ) (4x -1)
Answer» Use identity (x+a) (x +b) = x2 + (a+b) x +ab (4x + 5 ) (4x -1)

Discussion

9492.	12 , 24 , ,816
Answer» $\frac{1}{2}$ , $\frac{2}{4}$ , , $\frac{8}{16}$

Discussion

9493.	Express 49 as the sum of 7 odd nos. Write the formula how you do that.
Answer» Express 49 as the sum of 7 odd nos. Write the formula how you do that.

Discussion

9494.	Find the value of the letter in the following and give reasons forthe steps involved.
Answer» Find the value of the letter in the following and give reasons for the steps involved.

9494.

Find the value of the letter in the following and give reasons forthe steps involved.

Answer»

Find the value of the letter in the following and give reasons for
the steps involved.

Discussion

9495.	Ramesh paid Rs. 345.60 as tax on a purchase of Rs. 3,840. Find the rate of tax.
Answer» Ramesh paid Rs. 345.60 as tax on a purchase of Rs. 3,840. Find the rate of tax.

Discussion

9496.	Laim tells his son that i was your present age when you were born If Laim is 36 now how old was his son five years ago.
Answer» Laim tells his son that i was your present age when you were born If Laim is 36 now how old was his son five years ago.

Discussion

9497.	If x^2 +x+1=0 then find the value of sigma r=1to27( x^ r+ 1/ x ^ r)^2
Answer» If x^2 +x+1=0 then find the value of sigma r=1to27( x^ r+ 1/ x ^ r)^2

Discussion

9498.	Find the C.I on Rs 20,000 for 3 years at 10% per annum compounded annually.
Answer» Find the C.I on Rs 20,000 for 3 years at 10% per annum compounded annually.

Discussion

9499.

The perimeter of a rhombus is 68 centimetres and the length of one of its diagonals is 30 centimetres. Find the length of the other diagonal.

Answer»

The perimeter of a rhombus is 68 centimetres and the length of one of its diagonals is 30 centimetres. Find the length of the other diagonal.

Discussion

9500.	Give five examples of numbers, each one of which is divisible by 3 but not divisible by 9.
Answer» Give five examples of numbers, each one of which is divisible by 3 but not divisible by 9.

Discussion

Explore topic-wise InterviewSolutions in .

Which of the following numbers can be the cube root of 85184

What is the size of the sheet you can get from 1 g gold?

Find a smallest integer whose next consecutive number is multiple of both 5 and 3. [2 MARKS]

In a SALE there is a 60% discount on shirts marked at ₹ 2000. Find its selling price.

Factorise - -12pq^2r+28pq^2r+8pr^2

Question 21 Both x and y are said to vary___with each other, if for some positive number k, xy=k.

Find the measure of each ext angle of a regular polygon of 10sides 9sides

A uniform rmaking angle 30^° from horizontal. If the ring rolls without slip, then its centre will move withacceleration.g(1)9(2)g(3)(4) g

(16)1.75= ?

Find values of 'm' for which x*x+3xy+x+my-m has two linear factors in x and y with integer coefficients

Let the domain of the function f(x)=log4(log5(log3(18x−x2−77))) be (a,b). Then the value of the integral b∫asin3x(sin3x+sin3(a+b−x))dx is equal to

2. One of the diagonals of a rhombus and its sides are equal angles of the Rhombus A)60,120,60,120 B)70,110,70,110 C)50,90,50,90 D)100,30,100,30

What is the difference between the simple interest (S.I) on a sum of ₹2,000 being calculated at 6% for 3 years and 7% for 3 years?

What should be multiplied to 43200 to make it a perfect cube?

The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is

The average weight of 25 students of grade 7 is 40 kg. If the weight of teacher is included, then the average weight becomes 41.5 kg. Find the weight of the teacher.

An iron spherical ball of radius 21cm is melted and it is re-casted in hemispheres of radius 7cm. The number of balls formed will be___

Solve this sum :ABCD is a trapezium in which AB//DC and its diagonals intersect each other at O. Using Basic Proportionality Theorem prove that AO/BO = CO/DO.

Match the following numbers so that their product is equal to 318000.

Divide 65a3m2p4 by 13a2mp2.

If three consecutive numbers are divided by 17, 7, 6 respectively and the quotients are added, the result is 13. The second number is35

If A is targeting to B,B and C are targeting to A. The probability of hitting the target by A,B and C are 23,12,13 respectively. Then the probability that B hits the target but C does not is

Using long division method, find the value of (3x^4 + 5x^3 - 3x^2 + x + 1) ÷ (2x^2 + 1)

Find the components along the coordinate axes of the position vector of each of the following points:(i) P(3, 2)(ii) Q(–5, 1)(iii) R(–11, –9)(iv) S(4, –3)

Evaluate : 3√343

∑_{n=0}^{50}i^{(2n+1)!

Question 2(iii) State True or False. If square of a number ends with 5, then its cube ends with 25.

Find the cube root of 3√500×54

Find the number whose sixth part exceeds its eight part by 3.

If ½ of 30 = 15, then what is 1/3 of 75 &amp; 1/5 of 150

Divide{52(m4−5m3−24m2)} by {13m(m−8)}.

Which of the following is equivalent to 115−√3?

The length of a rectangle is 3x−4y+6z and its perimeter is 8x+9y+18z. Breadth of the rectangle is

If y and y are real and f(xy) =f(x) f(y) . f(0) not equal to 0. Find f(2019)

The median of the data : 4,4,5,7,6,7,7,12,3 is (a) 4(b) 5(c) 6(d) 7

Please help me to clear probability of data handling.

Complete the following table. Sr. No. Number Power of the root Root of the power (1) 22532 Cube of square root of 225 Square root of cube of 225 (2) 4545 (3) 8167 (4) 100410 (5) 2137

Factorize 194 xz3 and write it in product form

Use identity (x+a) (x +b) = x2 + (a+b) x +ab (4x + 5 ) (4x -1)

12 , 24 , ,816

Express 49 as the sum of 7 odd nos. Write the formula how you do that.

Find the value of the letter in the following and give reasons forthe steps involved.

Ramesh paid Rs. 345.60 as tax on a purchase of Rs. 3,840. Find the rate of tax.

Laim tells his son that i was your present age when you were born If Laim is 36 now how old was his son five years ago.

If x^2 +x+1=0 then find the value of sigma r=1to27( x^ r+ 1/ x ^ r)^2

Find the C.I on Rs 20,000 for 3 years at 10% per annum compounded annually.

The perimeter of a rhombus is 68 centimetres and the length of one of its diagonals is 30 centimetres. Find the length of the other diagonal.

Give five examples of numbers, each one of which is divisible by 3 but not divisible by 9.

If ½ of 30 = 15, then what is 1/3 of 75 & 1/5 of 150