25365 + Interview Questions in Mathematics Page 191 InterviewSolution

9501.	How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm, the iron being 1.5 cm thick throughout? If 1 cubic cm of iron weighs 7.5 g. find the weight of the empty box in kg.
Answer» How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm, the iron being 1.5 cm thick throughout? If 1 cubic cm of iron weighs 7.5 g. find the weight of the empty box in kg.

Discussion

9502.	Question 5 (iii)An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:Monthly income(in Rs)Vehicles per family012Above 2Less than 7000101602507000−10000030527210000−13000153529113000−160002469592516000 or more15798288Suppose a family is chosen, find the probability that the family chosen is(iii) earning less than Rs7000 per month and does not own any vehicle.
Answer» Question 5 (iii) An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below: $\begin{matrix} Monthly income(in Rs) & Vehicles per family 0 & 1 & 2 & A b o v e 2 Less than 7000 & 10 & 160 & 25 & 0 7000 - 10000 & 0 & 305 & 27 & 2 10000 - 13000 & 1 & 535 & 29 & 1 13000 - 16000 & 2 & 469 & 59 & 25 16000 or more & 1 & 579 & 82 & 88 \end{matrix}$ Suppose a family is chosen, find the probability that the family chosen is (iii) earning less than Rs7000 per month and does not own any vehicle.

Discussion

9503.	Is it necessary that all the values of the domain of a function should get mapped with its range? Answer in Yes/No.
Answer» Is it necessary that all the values of the domain of a function should get mapped with its range? Answer in Yes/No.

Discussion

9504.	If R1 is the circumradius of the pedal triangle of a given triangle ABC, and R2 is the circumradius of the pedal triangle of the pedal triangle formed, and so on R3,R4,..... then the value of ∞∑i=1Ri, where R (circumradius) of ΔABC =5 is:
Answer» If $R_{1}$ is the circumradius of the pedal triangle of a given triangle $A B C,$ and $R_{2}$ is the circumradius of the pedal triangle of the pedal triangle formed, and so on $R_{3}$ , $R_{4}, . . . . .$ then the value of $\infty \sum i = 1 R_{i}$ , where $R$ (circumradius) of $Δ A B C$ $= 5$ is:

Discussion

9505.	Factorise :(i) x2+8x+16 (ii) 4a2–4a+1
Answer» Factorise : $(i) x^{2} + 8 x + 16$ $(ii) 4 a^{2} - 4 a + 1$

Discussion

9506.	The common factor of 3ab and 2cd is:
Answer» The common factor of $3 a b$ and $2 c d$ is:

Discussion

9507.	38. For an ideal sol. with Pa>Pb which of the following is true. a) Xa(l)=Xa(v) b)Xa(l)>Xa(v) c)Xa(l)
Answer» 38. For an ideal sol. with Pa>Pb which of the following is true. a) Xa(l)=Xa(v) b)Xa(l)>Xa(v) c)Xa(l)

Discussion

9508.	Simplify: (z−19+19xy−xyz)÷(z−19)
Answer» $S i m p l i f y : (z - 19 + 19 x y - x y z) \div (z - 19)$

Discussion

9509.	What is the probability of getting an even number when a die is rolled?
Answer» What is the probability of getting an even number when a die is rolled?

Discussion

9510.	A boy is asked to multiply a certain number by 25 he multiples or by 52 and gets his answer more than the correct one by 324. The number to be multiplied was :
Answer» A boy is asked to multiply a certain number by 25 he multiples or by 52 and gets his answer more than the correct one by 324. The number to be multiplied was :

Discussion

9511.	Question 9Verify:(i) x3+y3=(x+y)(x2−xy+y2)(ii) x3−y3=(x−y)(x2+xy+y2)
Answer» Question 9 Verify: $(i) x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2}) (i i) x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})$

Discussion

9512.	3×+2/4×+11=4/7
Answer» 3×+2/4×+11=4/7

Discussion

9513.	Construct 3 equations starting with x=2
Answer» Construct 3 equations starting with x=2

Discussion

9514.	In the following questions two equations I and II are given. You have to solve both the equations and choose the appropriate answer. I. 6a2 + 5a + 1 = 0 II. 15b2 + 19b + 6b = 0
Answer» In the following questions two equations I and II are given. You have to solve both the equations and choose the appropriate answer. I. 6a $^{2}$ + 5a + 1 = 0 II. 15b $^{2}$ + 19b + 6b = 0

9514.

In the following questions two equations I and II are given. You have to solve both the equations and choose the appropriate answer. I. 6a2 + 5a + 1 = 0 II. 15b2 + 19b + 6b = 0

Answer»

In the following questions two equations I and II are given. You have to solve both the equations and choose the appropriate answer.

I. 6a $^{2}$ + 5a + 1 = 0

II. 15b $^{2}$ + 19b + 6b = 0

Discussion

9515.	Factorise the following expression 20l2m+30 alm
Answer» Factorise the following expression $20 l^{2} m + 30 a l m$

Discussion

9516.	What number should be subtracted from −103 to get −12?
Answer» What number should be subtracted from $\frac{- 10}{3}$ to get $\frac{- 1}{2}$ ?

Discussion

9517.	Factorise:(x2−2xy+y2)−z2
Answer» Factorise: $(x^{2} - 2 x y + y^{2}) - z^{2}$

Discussion

9518.	d/dx\lbrack\log\{e^x((x-2)/(x+2))^{3/4}\}\rbrack equals
Answer» d/dx\lbrack\log\{e^x((x-2)/(x+2))^{3/4}\}\rbrack equals

Discussion

9519.	Question 2 (v)The following number is obviously not a perfect square. Give reasons.64000
Answer» Question 2 (v) The following number is obviously not a perfect square. Give reasons. 64000

9519.

Question 2 (v)The following number is obviously not a perfect square. Give reasons.64000

Answer»

Question 2 (v)

The following number is obviously not a perfect square. Give reasons.

64000

Discussion

9520.	The diagonals of a parallelogram PQRS are along the lines x + 3y = 4 and 6x – 2y = 7. Then PQRS must be
Answer» The diagonals of a parallelogram PQRS are along the lines x + 3y = 4 and 6x – 2y = 7. Then PQRS must be

Discussion

9521.	Represent root 3.5 on number line.
Answer» Represent root 3.5 on number line.

Discussion

9522.	if origin and 2-i are two vertices of an equilateral triangle then determine the third vertex
Answer» if origin and 2-i are two vertices of an equilateral triangle then determine the third vertex

Discussion

9523.	If ⎡⎣{(172)−2}−13⎤⎦14=7m then find the value of m.
Answer» If ${⎡ ⎣ {{(\frac{1}{7^{2}})}^{- 2}}^{- \frac{1}{3}} ⎤ ⎦}^{\frac{1}{4}} = 7^{m}$ then find the value of m.

Discussion

9524.	The sum of the digit of a two digit number is 15 if the number formed by reversing the digit is less than the original number by 27 find the original number
Answer» The sum of the digit of a two digit number is 15 if the number formed by reversing the digit is less than the original number by 27 find the original number

Discussion

9525.	How many arrangements can be made by using the letters of word ROSE?
Answer» How many arrangements can be made by using the letters of word $ROSE$ ?

Discussion

9526.	Which is larger: (34 × 23) or (25 × 32)?
Answer» Which is larger: (3⁴ × 2³) or (2⁵ × 3²)?

Discussion

9527.	Amrita deposited ₹ 10,00,000 in a bank where the rate of interest is 10% compounded annually. She deposited it for a period of three years. Find the difference in the amount, if the interest is calculated in simple interest for the same sum of money and same rate of interest and period.
Answer» Amrita deposited ₹ 10,00,000 in a bank where the rate of interest is 10% compounded annually. She deposited it for a period of three years. Find the difference in the amount, if the interest is calculated in simple interest for the same sum of money and same rate of interest and period.

Discussion

9528.	If A and B be any two sets where n(A−B)=8, n(A∪B)=20 and n(A∩B)=6, then n(B−A) is
Answer» If A and B be any two sets where $n (A - B) = 8$ , $n (A \cup B) = 20$ and $n (A \cap B) = 6$ , then $n (B - A)$ is

Discussion

9529.	In the given figure, ABCD is a parallelogram. If ∠A=75∘, then ∠B is
Answer» In the given figure, ABCD is a parallelogram. If $∠ A = 75^{\circ}$ , then $∠ B$ is

Discussion

9530.	Four books, one English, one science, one social science, and one mathematics, are to be arranged in the shelf. In how many ways this can be done?
Answer» Four books, one English, one science, one social science, and one mathematics, are to be arranged in the shelf. In how many ways this can be done?

Discussion

9531.	A car travels 160 km in four hours. On average, the distance covered in an hour is km.
Answer» A car travels $160 km$ in four hours. On average, the distance covered in an hour is $km$ .

Discussion

9532.	What is the area of a sector whose arc subtends a 30∘ angle at the center of a circle of radius 12 inches?
Answer» What is the area of a sector whose arc subtends a $30^{\circ}$ angle at the center of a circle of radius 12 inches?

Discussion

9533.	The following table gives the information regarind length of a side of a square and its area : Length of a side (in cm):12345Area of square (in cm):1491625 Draw a graph to illustrate this information.
Answer» The following table gives the information regarind length of a side of a square and its area : $\begin{matrix} Length of a side (in cm) : & 1 & 2 & 3 & 4 & 5 Area of square (in cm) : & 1 & 4 & 9 & 16 & 25 \end{matrix}$ Draw a graph to illustrate this information.

Discussion

9534.	Question 19 Rohan and Shalu are playing with 5 cards as shown in the given figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it? (a) 25 (b) 15 (c) 35 (d) 45
Answer» Question 19 Rohan and Shalu are playing with 5 cards as shown in the given figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it? (a) $\frac{2}{5}$ (b) $\frac{1}{5}$ (c) $\frac{3}{5}$ (d) $\frac{4}{5}$

9534.

Question 19 Rohan and Shalu are playing with 5 cards as shown in the given figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it? (a) 25 (b) 15 (c) 35 (d) 45

Answer»

Question 19

Rohan and Shalu are playing with 5 cards as shown in the given figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it?

(a) $\frac{2}{5}$

(b) $\frac{1}{5}$

(c) $\frac{3}{5}$

(d) $\frac{4}{5}$

Discussion

9535.	Factorise: y2+y−72
Answer» Factorise: $y^{2} + y - 72$

Discussion

9536.	Factorize: x - 4abx - (a - b).
Answer» Factorize: x - 4abx - (a - b).

Discussion

9537.	Question 9The edges of a triangular board are 6cm, 8cm and 10cm. The cost of painting it at the rate of 9 paise per cm2 is
Answer» Question 9 The edges of a triangular board are 6cm, 8cm and 10cm. The cost of painting it at the rate of 9 paise per $c m^{2}$ is

Discussion

9538.	A relation is defined from set A={2,3,5,4} to a set B={3,6,7,10} as follows: (x,y) belongs to R x is relatively prime to y. Express R as a set of ordered pairs and determine its domain and range .
Answer» A relation is defined from set A={2,3,5,4} to a set B={3,6,7,10} as follows: (x,y) belongs to R <=> x is relatively prime to y. Express R as a set of ordered pairs and determine its domain and range .

Discussion

9539.	The ticket price for students is ₹80 and they have a discount of 25% for a charity show, what is the price of the ticket for students?60
Answer» The ticket price for students is $₹ 80$ and they have a discount of $25 %$ for a charity show, what is the price of the ticket for students? 60

Discussion

9540.	We have an isosceles triangle ABC with m∠B=m∠C=65∘ . The measure of angle A is degree.
Answer» We have an isosceles triangle ABC with $m ∠ B = m ∠ C = 65^{\circ}$ . The measure of angle A is degree.

Discussion

9541.	Kunal bought a suitcase at a discount of 15%. He sold the suitcase for ₹1440 with 20% profit on the marked price. At what price did he buy the suitcase?
Answer» Kunal bought a suitcase at a discount of 15%. He sold the suitcase for ₹1440 with 20% profit on the marked price. At what price did he buy the suitcase?

Discussion

9542.	The length of a rectangle is 10cm and breadth 6cm. If the length is decreased by 3cm and breadth by 2cm. The decrease in the area is
Answer» The length of a rectangle is 10cm and breadth 6cm. If the length is decreased by 3cm and breadth by 2cm. The decrease in the area is

Discussion

9543.	Question 36Length of one of the diagonals of a rectangle whose sides are 10 cm and 24 cm isa) 25 cmb) 20 cmc) 26 cmd) 3.5 cm
Answer» Question 36 Length of one of the diagonals of a rectangle whose sides are 10 cm and 24 cm is a) 25 cm b) 20 cm c) 26 cm d) 3.5 cm

Discussion

9544.	Write the following rational numbers in decimal form.i 127200 ii 2599 iii 237 iv 45 v 178
Answer» Write the following rational numbers in decimal form. $(i) \frac{127}{200} (ii) \frac{25}{99} (iii) \frac{23}{7} (iv) \frac{4}{5} (v) \frac{17}{8}$

Discussion

9545.	FIND THE COEFFICIENT OF X BY EXPANDING (x + 1 ) ^3
Answer» FIND THE COEFFICIENT OF X BY EXPANDING (x + 1 ) ^3

Discussion

9546.	The interest on a certain sum of money is 0.24 times of itself in 3 years. Find the rate of interest.
Answer» The interest on a certain sum of money is 0.24 times of itself in 3 years. Find the rate of interest.

Discussion

9547.	Construct the following quadrilaterals.(i) Quadrilateral MOREMO = 6 cmOR = 4.5 cm∠M = 60°∠O = 105°∠R = 105°(ii) Quadrilateral PLANPL = 4 cmLA = 6.5 cm∠P = 90°∠A = 110°∠N = 85°(iii) Parallelogram HEARHE = 5 cmEA = 6 cm∠R = 85°(iv) Rectangle OKAYOK = 7 cmKA = 5 cm
Answer» Construct the following quadrilaterals. (i) Quadrilateral MORE MO = 6 cm OR = 4.5 cm ∠M = 60° ∠O = 105° ∠R = 105° (ii) Quadrilateral PLAN PL = 4 cm LA = 6.5 cm ∠P = 90° ∠A = 110° ∠N = 85° (iii) Parallelogram HEAR HE = 5 cm EA = 6 cm ∠R = 85° (iv) Rectangle OKAY OK = 7 cm KA = 5 cm

9547.

Construct the following quadrilaterals.(i) Quadrilateral MOREMO = 6 cmOR = 4.5 cm∠M = 60°∠O = 105°∠R = 105°(ii) Quadrilateral PLANPL = 4 cmLA = 6.5 cm∠P = 90°∠A = 110°∠N = 85°(iii) Parallelogram HEARHE = 5 cmEA = 6 cm∠R = 85°(iv) Rectangle OKAYOK = 7 cmKA = 5 cm

Answer»

Construct the following quadrilaterals.

(i) Quadrilateral MORE

MO = 6 cm

OR = 4.5 cm

∠M = 60°

∠O = 105°

∠R = 105°

(ii) Quadrilateral PLAN

PL = 4 cm

LA = 6.5 cm

∠P = 90°

∠A = 110°

∠N = 85°

(iii) Parallelogram HEAR

HE = 5 cm

EA = 6 cm

∠R = 85°

(iv) Rectangle OKAY

OK = 7 cm

KA = 5 cm

Discussion

9548.	Can you divide the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 into two groups such that the product of numbers in one group divides the product of numbers in the other group and the quotient is minimum?
Answer» Can you divide the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 into two groups such that the product of numbers in one group divides the product of numbers in the other group and the quotient is minimum?

Discussion

9549.	Two rectangular boxes have the same height and length, but different widths as shown in the figure. The difference in their volumes is 360 cm3. Find their height.
Answer» Two rectangular boxes have the same height and length, but different widths as shown in the figure. The difference in their volumes is 360 cm³. Find their height.

Discussion

9550.	If 24 trousers of equal size can be prepared in 54 metres of cloth,what length of cloth is required for each trouser ?
Answer» If 24 trousers of equal size can be prepared in 54 metres of cloth,what length of cloth is required for each trouser ?

Discussion

Explore topic-wise InterviewSolutions in .

How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm, the iron being 1.5 cm thick throughout? If 1 cubic cm of iron weighs 7.5 g. find the weight of the empty box in kg.

Is it necessary that all the values of the domain of a function should get mapped with its range? Answer in Yes/No.

If R1 is the circumradius of the pedal triangle of a given triangle ABC, and R2 is the circumradius of the pedal triangle of the pedal triangle formed, and so on R3,R4,..... then the value of ∞∑i=1Ri, where R (circumradius) of ΔABC =5 is:

Factorise :(i) x2+8x+16 (ii) 4a2–4a+1

The common factor of 3ab and 2cd is:

38. For an ideal sol. with Pa*>Pb* which of the following is true. a) Xa(l)=Xa(v) b)Xa(l)>Xa(v) c)Xa(l)

Simplify: (z−19+19xy−xyz)÷(z−19)

What is the probability of getting an even number when a die is rolled?

A boy is asked to multiply a certain number by 25 he multiples or by 52 and gets his answer more than the correct one by 324. The number to be multiplied was :

Question 9Verify:(i) x3+y3=(x+y)(x2−xy+y2)(ii) x3−y3=(x−y)(x2+xy+y2)

3×+2/4×+11=4/7

Construct 3 equations starting with x=2

In the following questions two equations I and II are given. You have to solve both the equations and choose the appropriate answer. I. 6a2 + 5a + 1 = 0 II. 15b2 + 19b + 6b = 0

Factorise the following expression 20l2m+30 alm

What number should be subtracted from −103 to get −12?

Factorise:(x2−2xy+y2)−z2

d/dx\lbrack\log\{e^x((x-2)/(x+2))^{3/4}\}\rbrack equals

Question 2 (v)The following number is obviously not a perfect square. Give reasons.64000

The diagonals of a parallelogram PQRS are along the lines x + 3y = 4 and 6x – 2y = 7. Then PQRS must be

Represent root 3.5 on number line.

if origin and 2-i are two vertices of an equilateral triangle then determine the third vertex

If ⎡⎣{(172)−2}−13⎤⎦14=7m then find the value of m.

The sum of the digit of a two digit number is 15 if the number formed by reversing the digit is less than the original number by 27 find the original number

How many arrangements can be made by using the letters of word ROSE?

Which is larger: (34 × 23) or (25 × 32)?

Amrita deposited ₹ 10,00,000 in a bank where the rate of interest is 10% compounded annually. She deposited it for a period of three years. Find the difference in the amount, if the interest is calculated in simple interest for the same sum of money and same rate of interest and period.

If A and B be any two sets where n(A−B)=8, n(A∪B)=20 and n(A∩B)=6, then n(B−A) is

In the given figure, ABCD is a parallelogram. If ∠A=75∘, then ∠B is

Four books, one English, one science, one social science, and one mathematics, are to be arranged in the shelf. In how many ways this can be done?

A car travels 160 km in four hours. On average, the distance covered in an hour is km.

What is the area of a sector whose arc subtends a 30∘ angle at the center of a circle of radius 12 inches?

The following table gives the information regarind length of a side of a square and its area : Length of a side (in cm):12345Area of square (in cm):1491625 Draw a graph to illustrate this information.

Question 19 Rohan and Shalu are playing with 5 cards as shown in the given figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it? (a) 25 (b) 15 (c) 35 (d) 45

Factorise: y2+y−72

Factorize: x - 4abx - (a - b).

Question 9The edges of a triangular board are 6cm, 8cm and 10cm. The cost of painting it at the rate of 9 paise per cm2 is

A relation is defined from set A={2,3,5,4} to a set B={3,6,7,10} as follows: (x,y) belongs to R x is relatively prime to y. Express R as a set of ordered pairs and determine its domain and range .

The ticket price for students is ₹80 and they have a discount of 25% for a charity show, what is the price of the ticket for students?60

We have an isosceles triangle ABC with m∠B=m∠C=65∘ . The measure of angle A is degree.

Kunal bought a suitcase at a discount of 15%. He sold the suitcase for ₹1440 with 20% profit on the marked price. At what price did he buy the suitcase?

The length of a rectangle is 10cm and breadth 6cm. If the length is decreased by 3cm and breadth by 2cm. The decrease in the area is

Question 36Length of one of the diagonals of a rectangle whose sides are 10 cm and 24 cm isa) 25 cmb) 20 cmc) 26 cmd) 3.5 cm

Write the following rational numbers in decimal form.i 127200 ii 2599 iii 237 iv 45 v 178

FIND THE COEFFICIENT OF X BY EXPANDING (x + 1 ) ^3

The interest on a certain sum of money is 0.24 times of itself in 3 years. Find the rate of interest.

Construct the following quadrilaterals.(i) Quadrilateral MOREMO = 6 cmOR = 4.5 cm∠M = 60°∠O = 105°∠R = 105°(ii) Quadrilateral PLANPL = 4 cmLA = 6.5 cm∠P = 90°∠A = 110°∠N = 85°(iii) Parallelogram HEARHE = 5 cmEA = 6 cm∠R = 85°(iv) Rectangle OKAYOK = 7 cmKA = 5 cm

Can you divide the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 into two groups such that the product of numbers in one group divides the product of numbers in the other group and the quotient is minimum?

Two rectangular boxes have the same height and length, but different widths as shown in the figure. The difference in their volumes is 360 cm3. Find their height.

If 24 trousers of equal size can be prepared in 54 metres of cloth,what length of cloth is required for each trouser ?

38. For an ideal sol. with Pa>Pb which of the following is true. a) Xa(l)=Xa(v) b)Xa(l)>Xa(v) c)Xa(l)