19743 + Interview Questions in Mathematics Page 238 InterviewSolution

11851.	Question 84 (e) Simplify and express each of the following in exponential form. [(35)3×(35)8]÷[(35)2×(35)4]
Answer» Question 84 (e) Simplify and express each of the following in exponential form. $[{(\frac{3}{5})}^{3} \times {(\frac{3}{5})}^{8}] \div [{(\frac{3}{5})}^{2} \times {(\frac{3}{5})}^{4}]$

11851.

Question 84 (e) Simplify and express each of the following in exponential form. [(35)3×(35)8]÷[(35)2×(35)4]

Answer»

Question 84 (e)

Simplify and express each of the following in exponential form.
$[{(\frac{3}{5})}^{3} \times {(\frac{3}{5})}^{8}] \div [{(\frac{3}{5})}^{2} \times {(\frac{3}{5})}^{4}]$

Discussion

11852.	The side and altitude of an equilateral triangle are in the ratio __________.
Answer» The side and altitude of an equilateral triangle are in the ratio __________.

Discussion

11853.	The Royal Architect wants to build a pillar in the shape of the letter "T". The area of the pillar is:
Answer» The Royal Architect wants to build a pillar in the shape of the letter "T". The area of the pillar is:

Discussion

11854.	Question: 2Amulya's present age is x years. 5 years ago, her age was(a) (5 - x) years(b) (5 + x) years(c) (x - 5) years(d) (5 + x) years
Answer» Question: 2 Amulya's present age is x years. 5 years ago, her age was (a) (5 - x) years (b) (5 + x) years (c) (x - 5) years (d) (5 + x) years

11854.

Question: 2Amulya's present age is x years. 5 years ago, her age was(a) (5 - x) years(b) (5 + x) years(c) (x - 5) years(d) (5 + x) years

Answer»

Question: 2

Amulya's present age is x years. 5 years ago, her age was

(a) (5 - x) years

(b) (5 + x) years

(c) (x - 5) years

(d) (5 + x) years

Discussion

11855.	Distance between Bholu's and Golu's house is 12 km. Bholu has to attend Golu's birthday party at 6:30 pm. He started from his home at 5 pm on his bicycle and covered the distance 6 km in 45 minutes. At that point, he met Chintu and he spoke to him for 15 minutes and reached Golu's birthday party at 6:30 pm. With what speed did he cover the second part of journey? Calculate his average speed for his entire journey?
Answer» Distance between Bholu's and Golu's house is 12 km. Bholu has to attend Golu's birthday party at 6:30 pm. He started from his home at 5 pm on his bicycle and covered the distance 6 km in 45 minutes. At that point, he met Chintu and he spoke to him for 15 minutes and reached Golu's birthday party at 6:30 pm. With what speed did he cover the second part of journey? Calculate his average speed for his entire journey?

Discussion

11856.	−338 should be divided byto get −112?
Answer» $\frac{- 33}{8} should be divided by$ $to get \frac{- 11}{2} ?$

Discussion

11857.	A rectangular floor has dimensions 35 m×20 m. If the floor is covered with tiles of dimension 25 cm×20 cm, then the number of tiles used is ___
Answer» A rectangular floor has dimensions $35 m \times 20 m .$ If the floor is covered with tiles of dimension $25 c m \times 20 c m,$ then the number of tiles used is ___

Discussion

11858.	∠ACD is an exterior angle of ∆ABC.The measures of ∠A and ∠B are equal. If m∠ACD = 140°, find the measures of the angles ∠A and ∠B.
Answer» ∠ACD is an exterior angle of $∆$ ABC.The measures of ∠A and ∠B are equal. If m∠ACD = 140^°, find the measures of the angles ∠A and ∠B.

Discussion

11859.	Burst the angles that can be drawn using set squares?
Answer» Burst the angles that can be drawn using set squares?

Discussion

11860.	What is the measure of each angle in an equilateral triangle?
Answer» What is the measure of each angle in an equilateral triangle?

Discussion

11861.	Question 6: Consider the following figure of line ←−→MN. Say whether following statement is true or false in the context of the given figure:(a) O and N are end points of line segment ¯¯¯¯¯¯¯¯OP.
Answer» Question 6: Consider the following figure of line $\leftarrow - \to M N$ . Say whether following statement is true or false in the context of the given figure: (a) O and N are end points of line segment $¯ ¯¯¯¯¯¯ ¯ O P$ .

Discussion

11862.	List five rational numbers between:−1 and 0
Answer» List five rational numbers between: $- 1$ and $0$

11862.

List five rational numbers between:−1 and 0

Answer»

List five rational numbers between:

$- 1$ and $0$

Discussion

11863.	FIND THE SQUARE ROOT OF 35-12\sqrt6-4\sqrt{15}+6\sqrt{10}
Answer» FIND THE SQUARE ROOT OF 35-12\sqrt6-4\sqrt{15}+6\sqrt{10}

Discussion

11864.	A car moves with a speed of 40 km/h for 15 minutes and then with a speed of 60 km/h for the next 15 minutes. The total distance covered by the car is:
Answer» A car moves with a speed of 40 km/h for 15 minutes and then with a speed of 60 km/h for the next 15 minutes. The total distance covered by the car is:

Discussion

11865.	Equation of the hour hand at 4 O’ clock is
Answer» Equation of the hour hand at $4$ O’ clock is

Discussion

11866.	23. A smaller circle touches a larger circle internally and passes through the center of the larger circle if the area of smaller circle is 200cm2 then area of larger circle will be
Answer» 23. A smaller circle touches a larger circle internally and passes through the center of the larger circle if the area of smaller circle is 200cm2 then area of larger circle will be

Discussion

11867.	A cuboid of length 12 cm, breadth 2 cm and height 8 cm is cut into 24 small cubes of equal size. How many vertical cuts along the height to be made to obtain these 24 small cubes of equal size?Options:a)5b)12c)6d)11
Answer» A cuboid of length 12 cm, breadth 2 cm and height 8 cm is cut into 24 small cubes of equal size. How many vertical cuts along the height to be made to obtain these 24 small cubes of equal size? Options: a)5 b)12 c)6 d)11

Discussion

11868.	5.7/8 fraction of a sample disintegrates in t time . how much time it will take to disintegrate 15/16 fraction
Answer» 5.7/8 fraction of a sample disintegrates in t time . how much time it will take to disintegrate 15/16 fraction

Discussion

11869.	A shopkeeper sold two baseball bats whose cost price is ₹2000 each. He makes a profit of 15% on one bat, but a loss of 5% on the other bat. Then, he has made an overall ___.
Answer» A shopkeeper sold two baseball bats whose cost price is ₹2000 each. He makes a profit of 15% on one bat, but a loss of 5% on the other bat. Then, he has made an overall ___.

Discussion

11870.	John works as a software engineer in a big company. He gets a constant salary throughout the year. Which of the following graph best represents this stated scenario for 1 year?
Answer» John works as a software engineer in a big company. He gets a constant salary throughout the year. Which of the following graph best represents this stated scenario for 1 year?

Discussion

11871.	Find the percentage decrement in the sales from iPad to Macbook.
Answer» Find the percentage decrement in the sales from iPad to Macbook.

11871.

Find the percentage decrement in the sales from iPad to Macbook.

Answer»

Find the percentage decrement in the sales from iPad to Macbook.

Discussion

11872.	Question 1The following table shows the ages of the patients admitted in a hospital during a year:Age(in years)5−1515−2525−3535−4545−5555−65Number of patients6112123145Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
Answer» Question 1 The following table shows the ages of the patients admitted in a hospital during a year: $\begin{matrix} Age(in years) & 5 - 15 & 15 - 25 & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 Number of patients & 6 & 11 & 21 & 23 & 14 & 5 \end{matrix}$ Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

11872.

Question 1The following table shows the ages of the patients admitted in a hospital during a year:Age(in years)5−1515−2525−3535−4545−5555−65Number of patients6112123145Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

Answer»

Question 1

The following table shows the ages of the patients admitted in a hospital during a year:

$\begin{matrix} Age(in years) & 5 - 15 & 15 - 25 & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 Number of patients & 6 & 11 & 21 & 23 & 14 & 5 \end{matrix}$

Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

Discussion

11873.	A Goldsmith can choose between three metals A, B and C. The probability that he chooses C is .
Answer» A Goldsmith can choose between three metals A, B and C. The probability that he chooses C is .

Discussion

11874.	Solve the following equations by Cramer’s method.(1) 6x – 3y = –10 ; 3x + 5y – 8 = 0(2) 4m – 2n = –4 ; 4m + 3n = 16(3) 3x – 2y = 52 ; 13x+3y=-43(4) 7x + 3y = 15 ; 12y – 5x = 39(5) x+y-82=x+2y-143=3x-y4
Answer» Solve the following equations by Cramer’s method. (1) 6x – 3y = –10 ; 3x + 5y – 8 = 0 (2) 4m – 2n = –4 ; 4m + 3n = 16 (3) 3x – 2y = $\frac{5}{2}$ ; $\frac{1}{3} x + 3 y = - \frac{4}{3}$ (4) 7x + 3y = 15 ; 12y – 5x = 39 (5) $\frac{x + y - 8}{2} = \frac{x + 2 y - 14}{3} = \frac{3 x - y}{4}$

Discussion

11875.	Solve the inequation: x3+5≤x+1, where x ∈ {4, 5, 6, 7}.
Answer» Solve the inequation: $\frac{x}{3} + 5 \leq x + 1$ , where x $\in$ {4, 5, 6, 7}.

Discussion

11876.	Tina baked 3 trays of 16 cookies. After they are cooled she packed them equally in 4 boxes. How many cookies did she put in each box?
Answer» Tina baked 3 trays of 16 cookies. After they are cooled she packed them equally in 4 boxes. How many cookies did she put in each box?

Discussion

11877.	How to find out the square root of 1296.
Answer» How to find out the square root of 1296.

Discussion

11878.	A girl is 28 years younger than her father. sum of their ages is 50 years find the ages of the girl and father.
Answer» A girl is 28 years younger than her father. sum of their ages is 50 years find the ages of the girl and father.

Discussion

11879.	Question 79(ii) Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Principal for 2nd year.
Answer» Question 79(ii) Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Principal for 2nd year.

11879.

Question 79(ii) Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Principal for 2nd year.

Answer»

Question 79(ii)

Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Principal for 2nd year.

Discussion

11880.	A die is thrown 500 times and the outcomes 1, 2, 3, 4, 5, 6 have frequencies as given belowOutcome123456Frequency758590807595What is the probability of getting a value greater than or equal to 4?
Answer» A die is thrown 500 times and the outcomes 1, 2, 3, 4, 5, 6 have frequencies as given below $\begin{matrix} Outcome & 1 & 2 & 3 & 4 & 5 & 6 Frequency & 75 & 85 & 90 & 80 & 75 & 95 \end{matrix}$ What is the probability of getting a value greater than or equal to 4?

11880.

A die is thrown 500 times and the outcomes 1, 2, 3, 4, 5, 6 have frequencies as given belowOutcome123456Frequency758590807595What is the probability of getting a value greater than or equal to 4?

Answer»

A die is thrown 500 times and the outcomes 1, 2, 3, 4, 5, 6 have frequencies as given below

$\begin{matrix} Outcome & 1 & 2 & 3 & 4 & 5 & 6 Frequency & 75 & 85 & 90 & 80 & 75 & 95 \end{matrix}$

What is the probability of getting a value greater than or equal to 4?

Discussion

11881.	You go to Pizza Hut along with two of your friends and order one large pizza. What will be each one's share?
Answer» You go to Pizza Hut along with two of your friends and order one large pizza. What will be each one's share?

Discussion

11882.	Ifstands for 30, how much does stand for?
Answer» Ifstands for 30, how much does stand for?

Discussion

11883.	If A, B and C are complementary angles of triangle ABC, then find value of sec[(B+C-A)/2].
Answer» If A, B and C are complementary angles of triangle ABC, then find value of sec[(B+C-A)/2].

Discussion

11884.	If the side of a square is 9x + 3 and x is a whole number, then the perimeter is a/an ____
Answer» If the side of a square is 9x + 3 and x is a whole number, then the perimeter is a/an ____

Discussion

11885.	Question 81 In a family, the consumption of wheat is 4 times that of rice. The total consumption of the two cereals is 80 kg. Find the quantities of rice and wheat consumed in the family.
Answer» Question 81 In a family, the consumption of wheat is 4 times that of rice. The total consumption of the two cereals is 80 kg. Find the quantities of rice and wheat consumed in the family.

11885.

Question 81 In a family, the consumption of wheat is 4 times that of rice. The total consumption of the two cereals is 80 kg. Find the quantities of rice and wheat consumed in the family.

Answer»

Question 81

In a family, the consumption of wheat is 4 times that of rice. The total consumption of the two cereals is 80 kg. Find the quantities of rice and wheat consumed in the family.

Discussion

11886.	If the function f(x)=(1-x)tanπx/2 is continuous at x=1, then f(1)=
Answer» If the function f(x)=(1-x)tanπx/2 is continuous at x=1, then f(1)=

Discussion

11887.	In the given figure, three coplanar lines intersect at a point O, forming angles as shown in the figure. Find the values of x, y, z and u.
Answer» In the given figure, three coplanar lines intersect at a point O, forming angles as shown in the figure. Find the values of x, y, z and u.

Discussion

11888.	Draw the right side view of the figure shown below.
Answer» Draw the right side view of the figure shown below.

11888.

Draw the right side view of the figure shown below.

Answer»

Draw the right side view of the figure shown below.

Discussion

11889.	Consider the figure (pyramid mounted over cube):If the number of faces, number of edges and number of vertices be F, E and V respectively, then find the value of F+E+V.
Answer» Consider the figure (pyramid mounted over cube): If the number of faces, number of edges and number of vertices be F, E and V respectively, then find the value of $F + E + V$ .

Discussion

11890.	Convert 1812 into simplest form.
Answer» Convert $\frac{18}{12}$ into simplest form.

Discussion

11891.	Statement 1: All regular polygons have multi line symmetry. Statement 2: No irregular polygon can have multi line symmetry.
Answer» Statement 1: All regular polygons have multi line symmetry. Statement 2: No irregular polygon can have multi line symmetry.

11891.

Statement 1: All regular polygons have multi line symmetry. Statement 2: No irregular polygon can have multi line symmetry.

Answer»

Statement 1: All regular polygons have multi line symmetry.

Statement 2: No irregular polygon can have multi line symmetry.

Discussion

11892.	5,15,10,30,25,75_
Answer» 5,15,10,30,25,75_

Discussion

11893.	Two sets having identical elements are known as ___ sets.
Answer» Two sets having identical elements are known as ___ sets.

Discussion

11894.	The demand for different shirt sizes,as obtained in a survey,is given below: Size38394041424344TotalNumber of persons (wearing it)263920151375125 Find the modal shirt sizes,as observed from the survey.
Answer» The demand for different shirt sizes,as obtained in a survey,is given below: $\begin{matrix} Size & 38 & 39 & 40 & 41 & 42 & 43 & 44 & Total Number of persons (wearing it) & 26 & 39 & 20 & 15 & 13 & 7 & 5 & 125 \end{matrix}$ Find the modal shirt sizes,as observed from the survey.

11894.

The demand for different shirt sizes,as obtained in a survey,is given below: Size38394041424344TotalNumber of persons (wearing it)263920151375125 Find the modal shirt sizes,as observed from the survey.

Answer»

The demand for different shirt sizes,as obtained in a survey,is given below:

$\begin{matrix} Size & 38 & 39 & 40 & 41 & 42 & 43 & 44 & Total Number of persons (wearing it) & 26 & 39 & 20 & 15 & 13 & 7 & 5 & 125 \end{matrix}$

Find the modal shirt sizes,as observed from the survey.

Discussion

11895.	Jackey, the dog, walks 7 steps on right side of zero (0) on the number line and then 9 steps backwardsWhat is the absolute value of his current position on the number line?
Answer» Jackey, the dog, walks 7 steps on right side of zero (0) on the number line and then 9 steps backwards What is the absolute value of his current position on the number line?

Discussion

11896.	Which of the below represents the correct simplification of (10m+n)+(10n+m)
Answer» Which of the below represents the correct simplification of (10m+n)+(10n+m)

Discussion

11897.	Question 3(iv)Express the number appearing in the following statements in standard form:Size of a plant is 0.00001275 m.
Answer» Question 3(iv) Express the number appearing in the following statements in standard form: Size of a plant is 0.00001275 m.

Discussion

11898.	Chalk contains calcium, carbon, oxygen in proportion 10:3:12 .Find the percentage of each in a chalk if the mass of chalk stick is 5gms.
Answer» Chalk contains calcium, carbon, oxygen in proportion 10:3:12 .Find the percentage of each in a chalk if the mass of chalk stick is 5gms.

Discussion

11899.	109.ABCDEF is a regular hexagon with point O as centre.The value of (AB vector + AC vector + AD vector + AE vector + AF vector ) is- (a) 2AO vector (b) 4AO vector (c) 6AO vector (d)zero
Answer» 109.ABCDEF is a regular hexagon with point O as centre.The value of (AB vector + AC vector + AD vector + AE vector + AF vector ) is- (a) 2AO vector (b) 4AO vector (c) 6AO vector (d)zero

Discussion

11900.	आशयस्पष्ट कीजिए−आजतो जो कुछ हुआवह अपूर्व हुआहै। बंगाल केनाम या कलकत्ताके नाम पर कलंकथा कि यहाँ कामनहीं हो रहा हैवह आज बहुत अंशमें धुल गया।
Answer» आशय स्पष्ट कीजिए − आज तो जो कुछ हुआ वह अपूर्व हुआ है। बंगाल के नाम या कलकत्ता के नाम पर कलंक था कि यहाँ काम नहीं हो रहा है वह आज बहुत अंश में धुल गया।

11900.

आशयस्पष्ट कीजिए−आजतो जो कुछ हुआवह अपूर्व हुआहै। बंगाल केनाम या कलकत्ताके नाम पर कलंकथा कि यहाँ कामनहीं हो रहा हैवह आज बहुत अंशमें धुल गया।

Answer»

आशय
स्पष्ट कीजिए
−

आज
तो जो कुछ हुआ
वह अपूर्व हुआ
है। बंगाल के
नाम या कलकत्ता
के नाम पर कलंक
था कि यहाँ काम
नहीं हो रहा है
वह आज बहुत अंश
में धुल गया।

Discussion

Explore topic-wise InterviewSolutions in .

Question 84 (e) Simplify and express each of the following in exponential form. [(35)3×(35)8]÷[(35)2×(35)4]

The side and altitude of an equilateral triangle are in the ratio __________.

The Royal Architect wants to build a pillar in the shape of the letter "T". The area of the pillar is:

Question: 2Amulya's present age is x years. 5 years ago, her age was(a) (5 - x) years(b) (5 + x) years(c) (x - 5) years(d) (5 + x) years

−338 should be divided byto get −112?

A rectangular floor has dimensions 35 m×20 m. If the floor is covered with tiles of dimension 25 cm×20 cm, then the number of tiles used is ___

∠ACD is an exterior angle of ∆ABC.The measures of ∠A and ∠B are equal. If m∠ACD = 140°, find the measures of the angles ∠A and ∠B.

Burst the angles that can be drawn using set squares?

What is the measure of each angle in an equilateral triangle?

Question 6: Consider the following figure of line ←−→MN. Say whether following statement is true or false in the context of the given figure:(a) O and N are end points of line segment ¯¯¯¯¯¯¯¯OP.

List five rational numbers between:−1 and 0

FIND THE SQUARE ROOT OF 35-12\sqrt6-4\sqrt{15}+6\sqrt{10}

A car moves with a speed of 40 km/h for 15 minutes and then with a speed of 60 km/h for the next 15 minutes. The total distance covered by the car is:

Equation of the hour hand at 4 O’ clock is

23. A smaller circle touches a larger circle internally and passes through the center of the larger circle if the area of smaller circle is 200cm2 then area of larger circle will be

A cuboid of length 12 cm, breadth 2 cm and height 8 cm is cut into 24 small cubes of equal size. How many vertical cuts along the height to be made to obtain these 24 small cubes of equal size?Options:a)5b)12c)6d)11

5.7/8 fraction of a sample disintegrates in t time . how much time it will take to disintegrate 15/16 fraction

A shopkeeper sold two baseball bats whose cost price is ₹2000 each. He makes a profit of 15% on one bat, but a loss of 5% on the other bat. Then, he has made an overall ___.

John works as a software engineer in a big company. He gets a constant salary throughout the year. Which of the following graph best represents this stated scenario for 1 year?

Find the percentage decrement in the sales from iPad to Macbook.

Question 1The following table shows the ages of the patients admitted in a hospital during a year:Age(in years)5−1515−2525−3535−4545−5555−65Number of patients6112123145Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

A Goldsmith can choose between three metals A, B and C. The probability that he chooses C is .

Solve the following equations by Cramer’s method.(1) 6x – 3y = –10 ; 3x + 5y – 8 = 0(2) 4m – 2n = –4 ; 4m + 3n = 16(3) 3x – 2y = 52 ; 13x+3y=-43(4) 7x + 3y = 15 ; 12y – 5x = 39(5) x+y-82=x+2y-143=3x-y4

Solve the inequation: x3+5≤x+1, where x ∈ {4, 5, 6, 7}.

Tina baked 3 trays of 16 cookies. After they are cooled she packed them equally in 4 boxes. How many cookies did she put in each box?

How to find out the square root of 1296.

A girl is 28 years younger than her father. sum of their ages is 50 years find the ages of the girl and father.

Question 79(ii) Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Principal for 2nd year.

A die is thrown 500 times and the outcomes 1, 2, 3, 4, 5, 6 have frequencies as given belowOutcome123456Frequency758590807595What is the probability of getting a value greater than or equal to 4?

You go to Pizza Hut along with two of your friends and order one large pizza. What will be each one's share?

Ifstands for 30, how much does stand for?

If A, B and C are complementary angles of triangle ABC, then find value of sec[(B+C-A)/2].

If the side of a square is 9x + 3 and x is a whole number, then the perimeter is a/an ____

Question 81 In a family, the consumption of wheat is 4 times that of rice. The total consumption of the two cereals is 80 kg. Find the quantities of rice and wheat consumed in the family.

If the function f(x)=(1-x)tanπx/2 is continuous at x=1, then f(1)=

In the given figure, three coplanar lines intersect at a point O, forming angles as shown in the figure. Find the values of x, y, z and u.

Draw the right side view of the figure shown below.

Consider the figure (pyramid mounted over cube):If the number of faces, number of edges and number of vertices be F, E and V respectively, then find the value of F+E+V.

Convert 1812 into simplest form.

Statement 1: All regular polygons have multi line symmetry. Statement 2: No irregular polygon can have multi line symmetry.

5,15,10,30,25,75_

Two sets having identical elements are known as ___ sets.

The demand for different shirt sizes,as obtained in a survey,is given below: Size38394041424344TotalNumber of persons (wearing it)263920151375125 Find the modal shirt sizes,as observed from the survey.

Jackey, the dog, walks 7 steps on right side of zero (0) on the number line and then 9 steps backwardsWhat is the absolute value of his current position on the number line?

Which of the below represents the correct simplification of (10m+n)+(10n+m)

Question 3(iv)Express the number appearing in the following statements in standard form:Size of a plant is 0.00001275 m.

Chalk contains calcium, carbon, oxygen in proportion 10:3:12 .Find the percentage of each in a chalk if the mass of chalk stick is 5gms.

109.ABCDEF is a regular hexagon with point O as centre.The value of (AB vector + AC vector + AD vector + AE vector + AF vector ) is- (a) 2AO vector (b) 4AO vector (c) 6AO vector (d)zero