25365 + Interview Questions in Mathematics Page 39 InterviewSolution

1901.	Question 69If the fifth class interval is 60-65 and fourth class interval is 55-60, then the first class interval is 45-50. ?
Answer» Question 69 If the fifth class interval is 60-65 and fourth class interval is 55-60, then the first class interval is 45-50. ?

1901.

Question 69If the fifth class interval is 60-65 and fourth class interval is 55-60, then the first class interval is 45-50. ?

Answer»

Question 69

If the fifth class interval is 60-65 and fourth class interval is 55-60, then the first class interval is 45-50. ?

1902.	In the graph alongside, line LM is parallel to the Y-axis. (i) What is the distance of line LM from the Y-axis ? (ii) Write the co-ordinates of the points P, Q and R. (iii) What is the difference between the x co-ordinates of the points L and M?
Answer» In the graph alongside, line LM is parallel to the Y-axis. (i) What is the distance of line LM from the Y-axis ? (ii) Write the co-ordinates of the points P, Q and R. (iii) What is the difference between the x co-ordinates of the points L and M?

Discussion

1903.	Question 2 (a)Convert the following ratios to percentages:3:4
Answer» Question 2 (a) Convert the following ratios to percentages: 3:4

Discussion

1904.	Write 10 rational numbers less than 2 such that the sum of the numerator and denominator does not exceed15.
Answer» Write 10 rational numbers less than 2 such that the sum of the numerator and denominator does not exceed15.

Discussion

1905.	In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. What is the approximate count of bacteria at the end of 2 hours if the count was initially 5,06,000?531616
Answer» In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. What is the approximate count of bacteria at the end of 2 hours if the count was initially 5,06,000? 531616

Discussion

1906.	The quotient obtained when pq2+5pq+6p is divided by pq+2p is
Answer» The quotient obtained when $p q^{2} + 5 p q + 6 p$ is divided by $p q + 2 p$ is

Discussion

1907.	A cylindrical container is of depth 20 m and of radius 0.7 m. Find the curved surface area of cylindrical container.
Answer» A cylindrical container is of depth 20 m and of radius 0.7 m. Find the curved surface area of cylindrical container.

Discussion

1908.	sector have central angle less than 180o andsector make angle greater than 180o at the center of the circle.
Answer» sector have central angle less than $180^{o}$ andsector make angle greater than $180^{o}$ at the center of the circle.

Discussion

1909.	Find the capacity of a closed rectangular cistern whose length is 8 m, breadth 6 m and depth 2.5m. Also find the area of the iron sheet required to make the cistern.
Answer» Find the capacity of a closed rectangular cistern whose length is 8 m, breadth 6 m and depth 2.5m. Also find the area of the iron sheet required to make the cistern.

Discussion

1910.

Enter the following transactions in the Journal of M/s Tripathi Bros. :- 2018 ₹ Jan. 6 Sold goods for cash 36,000 8 Sold goods to Hari 30,000 14 Received cash from Hari 18,000 26 Received Commission 750 27 Paid Salary to Gopal 1,200 28 Received cash from Hari 12,000 29 Withdrew cash from office for personal use 4,000 30 Wages paid 7,200 30 Bought Machinery for Cash 8,000

Answer» Enter the following transactions in the Journal of M/s Tripathi Bros. :-

2018		₹
Jan. 6	Sold goods for cash	36,000
8	Sold goods to Hari	30,000
14	Received cash from Hari	18,000
26	Received Commission	750
27	Paid Salary to Gopal	1,200
28	Received cash from Hari	12,000
29	Withdrew cash from office for personal use	4,000
30	Wages paid	7,200
30	Bought Machinery for Cash	8,000

Discussion

1911.	Question 66 For all rational numbers x and y, x - y = y - x
Answer» Question 66 For all rational numbers x and y, x - y = y - x

Discussion

1912.	Find the values of the letters in the following and give reasons forthe steps involved.
Answer» Find the values of the letters in the following and give reasons for the steps involved.

1912.

Find the values of the letters in the following and give reasons forthe steps involved.

Answer»

Find the values of the letters in the following and give reasons for
the steps involved.

Discussion

1913.	find the remainder when 2 raise to the power 33 is divided by 17
Answer» find the remainder when 2 raise to the power 33 is divided by 17

Discussion

1914.	The value of nCr + 2 nCr – 1 + nCr – 2, 2 ≤ r ≤ n, is ____________.
Answer» The value of ⁿC_r + 2 ⁿC_r _{– 1} + ⁿC_r _{– 2}, 2 ≤ r ≤ n, is ____________.

Discussion

1915.	The perimeter of a rectangle is 40 m and one of its side measures 8 m. Find the length of the other side.
Answer» $The perimeter of a rectangle is 40 m and one of its side measures 8 m . Find the length of the other side.$

Discussion

1916.	A packet of biscuits is in the form of a cuboid. Its length is 15cm, breadth 8cm and height is 3cm. The packets are placed in cuboidal box of side 1.2 m long. How many packets are placed in the box ?
Answer» A packet of biscuits is in the form of a cuboid. Its length is 15cm, breadth 8cm and height is 3cm. The packets are placed in cuboidal box of side 1.2 m long. How many packets are placed in the box ?

Discussion

1917.	V = 1 - 9t if t<9 V= 5 - 2t if t =10 Find the value of v (m/s) when t = 5
Answer» V = 1 - 9t if t<9 V= 5 - 2t if t =10 Find the value of v (m/s) when t = 5

1917.

V = 1 - 9t if t<9 V= 5 - 2t if t =10 Find the value of v (m/s) when t = 5

Answer»

V = 1 - 9t if t<9

V= 5 - 2t if t =10

Find the value of v (m/s) when t = 5

Discussion

1918.	Question 1(viii) Find the common factors of the terms 3x2y3,10x3y2,6x2y2z
Answer» Question 1(viii) Find the common factors of the terms $3 x^{2} y^{3}, 10 x^{3} y^{2}, 6 x^{2} y^{2} z$

Discussion

1919.	Question 89In the following question, state whether the given statements are true (T) or false (F).Large numbers can be expressed in the standard form by using positive exponents.
Answer» Question 89 In the following question, state whether the given statements are true (T) or false (F). Large numbers can be expressed in the standard form by using positive exponents.

1919.

Question 89In the following question, state whether the given statements are true (T) or false (F).Large numbers can be expressed in the standard form by using positive exponents.

Answer»

Question 89

In the following question, state whether the given statements are true (T) or false (F).

Large numbers can be expressed in the standard form by using positive exponents.

Discussion

1920.	Solve : 4−3x5+7−x3+413=0 Hence find the value of 'p' if 3p−2x+1=0
Answer» Solve : $\frac{4 - 3 x}{5} + \frac{7 - x}{3} + 4 \frac{1}{3} = 0$ Hence find the value of 'p' if $3 p - 2 x + 1 = 0$

Discussion

1921.	Match the values with the corresponding laws of exponents.
Answer» Match the values with the corresponding laws of exponents.

Discussion

1922.	The compound interest on a principal of Rs 5000 at the rate of 20% for 2 years is Rs.___.
Answer» The compound interest on a principal of Rs 5000 at the rate of 20% for 2 years is Rs.___.

Discussion

1923.

The following table shows the monthly income of 20 families.Find the mean monthly income of those families. Monthly income (xi) Number of families (fi) fixi 20000 2 40000 50000 4 200000 100000 5 500000 75000 6 450000 60000 3 180000

Answer» The following table shows the monthly income of 20 families.Find the mean monthly income of those families.

Monthly income ( $x_{i}$ )	Number of families ( $f_{i}$ )	$f_{i} x_{i}$
20000	2	40000
50000	4	200000
100000	5	500000
75000	6	450000
60000	3	180000

Discussion

1924.	A service centre received the following number of calls per day over a period of 30 days. 6 5 6 9 7 4 2 4 7 8 3 4 9 8 2 3 5 9 7 8 9 7 5 6 7 7 4 6 2 4Using a frequency table, find the average number of calls per day. Round your answer to 1 decimal place.
Answer» A service centre received the following number of calls per day over a period of 30 days. 6 5 6 9 7 4 2 4 7 8 3 4 9 8 2 3 5 9 7 8 9 7 5 6 7 7 4 6 2 4 Using a frequency table, find the average number of calls per day. Round your answer to 1 decimal place.

1924.

A service centre received the following number of calls per day over a period of 30 days. 6 5 6 9 7 4 2 4 7 8 3 4 9 8 2 3 5 9 7 8 9 7 5 6 7 7 4 6 2 4Using a frequency table, find the average number of calls per day. Round your answer to 1 decimal place.

Answer»

A service centre received the following number of calls per day over a period of 30 days.

6 5 6 9 7 4 2 4 7 8

3 4 9 8 2 3 5 9 7 8

9 7 5 6 7 7 4 6 2 4

Using a frequency table, find the average number of calls per day. Round your answer to 1 decimal place.

Discussion

1925.	Find out the wrong number in the series given below :2,3,5,9,16,33
Answer» Find out the wrong number in the series given below : $2, 3, 5, 9, 16, 33$

Discussion

1926.	Question 23A coin is tossed 12 times and the outcomes are observed as shown below:The chance of occurence of head is:(a) 12(b) 512(c) 712(d) 57
Answer» Question 23 A coin is tossed 12 times and the outcomes are observed as shown below: The chance of occurence of head is: (a) $\frac{1}{2}$ (b) $\frac{5}{12}$ (c) $\frac{7}{12}$ (d) $\frac{5}{7}$

1926.

Question 23A coin is tossed 12 times and the outcomes are observed as shown below:The chance of occurence of head is:(a) 12(b) 512(c) 712(d) 57

Answer»

Question 23

A coin is tossed 12 times and the outcomes are observed as shown below:

The chance of occurence of head is:

(a) $\frac{1}{2}$

(b) $\frac{5}{12}$

(c) $\frac{7}{12}$

(d) $\frac{5}{7}$

Discussion

1927.	Seeing the value of the digit at unit's place, state which of the following can be square of a number : (i) 3051 (ii) 2332 (iii) 5684 (iv) 6908 (v) 50699
Answer» Seeing the value of the digit at unit's place, state which of the following can be square of a number : (i) 3051 (ii) 2332 (iii) 5684 (iv) 6908 (v) 50699

1927.

Seeing the value of the digit at unit's place, state which of the following can be square of a number : (i) 3051 (ii) 2332 (iii) 5684 (iv) 6908 (v) 50699

Answer»

Seeing the value of the digit at unit's place, state which of the following can be square of a number :

(i) 3051 (ii) 2332

(iii) 5684 (iv) 6908

(v) 50699

Discussion

1928.	Draw an appropriate bar graph to depict the number of people with different blood groups. [4 MARKS] Blood GroupNo. of PeopleA6B5AB3O1
Answer» Draw an appropriate bar graph to depict the number of people with different blood groups. [4 MARKS] $\begin{matrix} Blood Group & No. of People A & 6 B & 5 AB & 3 O & 1 \end{matrix}$

1928.

Draw an appropriate bar graph to depict the number of people with different blood groups. [4 MARKS] Blood GroupNo. of PeopleA6B5AB3O1

Answer»

Draw an appropriate bar graph to depict the number of people with different blood groups. [4 MARKS]

$\begin{matrix} Blood Group & No. of People A & 6 B & 5 AB & 3 O & 1 \end{matrix}$

Discussion

1929.	The sum of interior angles of a polygon is 1620° What type of polygon is this?
Answer» The sum of interior angles of a polygon is 1620° What type of polygon is this?

Discussion

1930.	Which of the following numbers are divisible by 11 and 9 respectively?
Answer» Which of the following numbers are divisible by 11 and 9 respectively?

Discussion

1931.	Fill in the BlanksQuestion 20The X-coordinate of any point lying on the Y-axis will be ___.
Answer» Fill in the Blanks Question 20 The X-coordinate of any point lying on the Y-axis will be ___.

Discussion

1932.

Consider the following data set: 15 16 18 13 11 x 20 12 22 23 If the median of the given data set is 16.5, then x = .

Answer» Consider the following data set:

$15$	$16$	$18$	$13$	$11$
$x$	$20$	$12$	$22$	$23$

If the median of the given data set is

16.5

, then

x

= .

Discussion

1933.	If 60% people in a city like cricket, 30% like football and remaining like other games, then what percent people like other games? If the total number of people are 50 lakh, find exact number who like each type of game
Answer» If 60% people in a city like cricket, 30% like football and remaining like other games, then what percent people like other games? If the total number of people are 50 lakh, find exact number who like each type of game

Discussion

1934.

Shreya travels 14th of an hour by car and24th of an hour by bike. What is the total time that Shreya travelled?

Answer»

Shreya travels $\frac{1}{4}$ th of an hour by car and

$\frac{2}{4}$ th of an hour by bike. What is the total time that Shreya travelled?

Discussion

1935.	If Rs. 16 needs to be divide among 4 people when none of them get less than Rs. 3. What are the maximum rupees one can get? ___
Answer» If Rs. 16 needs to be divide among 4 people when none of them get less than Rs. 3. What are the maximum rupees one can get? ___

Discussion

1936.	Stark went to the restaurent and asked the waiter to bring the menu. In the menu he noticed different food items and their specific prices written besides them. Stark make the list of some of his food items in the tabular form given below:State True/False in the below statementThe relation from food items to the prices of the food items represents a Function
Answer» Stark went to the restaurent and asked the waiter to bring the menu. In the menu he noticed different food items and their specific prices written besides them. Stark make the list of some of his food items in the tabular form given below: State True/False in the below statement The relation from food items to the prices of the food items represents a Function

Discussion

1937.	The area of a trapezium (in sq. cm) whose parallel sides are 10 cm and 20 cm and the perpendicular distance between them is 5 cm is ___
Answer» The area of a trapezium (in sq. cm) whose parallel sides are 10 cm and 20 cm and the perpendicular distance between them is 5 cm is ___

Discussion

1938.	Signs of the abscissa and ordinate of a point in the second quadrant are respectively(a) +, +(b) –, –(c) –, +(d) +, –
Answer» Signs of the abscissa and ordinate of a point in the second quadrant are respectively (a) +, + (b) –, – (c) –, + (d) +, –

Discussion

1939.	Find the average number of goals scored by alex using the frequency table. The number of goals scored by him in a tournament are given below. 0, 1 , 0 , 2, 3, 0, 0, 2, 3, 0, 1, 2, 4, 3, 3, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1.
Answer» Find the average number of goals scored by alex using the frequency table. The number of goals scored by him in a tournament are given below. 0, 1 , 0 , 2, 3, 0, 0, 2, 3, 0, 1, 2, 4, 3, 3, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1.

Discussion

1940.	SOLVE: 15(y-4) - 2(y-9) + 5(y+6) = 0
Answer» SOLVE: 15(y-4) - 2(y-9) + 5(y+6) = 0

Discussion

1941.	Question 8 Show that the angles of an equilateral triangle are 60∘ each
Answer» Question 8 Show that the angles of an equilateral triangle are $60^{\circ}$ each

Discussion

1942.	The fraction of income from various food items is given. Which of the line plot shows the given data?
Answer» The fraction of income from various food items is given. Which of the line plot shows the given data?

Discussion

1943.	If x2=7−√48, then x = _______________
Answer» $If x^{2} = 7 - \sqrt{48}$ , then $x$ = _______________

Discussion

1944.	Study the following pie diagrams and answer the question given below. Q19. If the number of D-type employees in 1998 were 5000 what would have been its approximate percentage in the company?
Answer» Study the following pie diagrams and answer the question given below. Q19. If the number of D-type employees in 1998 were 5000 what would have been its approximate percentage in the company?

1944.

Study the following pie diagrams and answer the question given below. Q19. If the number of D-type employees in 1998 were 5000 what would have been its approximate percentage in the company?

Answer»

Study the following pie diagrams and answer the question given below.

Q19. If the number of D-type employees in 1998 were 5000 what would have been its approximate percentage in the company?

Discussion

1945.	Mr X is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table. [4 MARKS]
Answer» Mr X is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table. [4 MARKS]

Discussion

1946.	How many four lettered words can be formed without repetition from the word FAILURE such that all the words start with the vowels?
Answer» How many four lettered words can be formed without repetition from the word $FAILURE$ such that all the words start with the vowels?

Discussion

1947.	The sum of 3 consecutive multiples of 6 is given as 180. Find the numbers obtained by dividing those multiples by 2.
Answer» The sum of 3 consecutive multiples of 6 is given as 180. Find the numbers obtained by dividing those multiples by 2.

Discussion

1948.	If a=2,b=3,c=4, find the value of:(a) 3a−b+2c(b) a2−b2+c2(c) ab−3abc−2ac(d) a2b+bc−3c3−2abc
Answer» $If a = 2, b = 3, c = 4, find the value of:$ $(a) 3 a - b + 2 c$ $(b) a^{2} - b^{2} + c^{2}$ $(c) a b - 3 a b c - 2 a c$ $(d) a^{2} b + b c - 3 c^{3} - 2 a b c$

Discussion

1949.	The value of (1212)2 is equal to
Answer» The value of ${(12 \frac{1}{2})}^{2}$ is equal to

Discussion

1950.

If an article is sold at a gain of 5 % instead of being sold at a loss of 5 %, a man gets Rs. 5 more. What is the cost price of the article ? (a) Rs. 50 (b) Rs. 40 (c) Rs. 60 (d) Rs. 80

Answer»

If an article is sold at a gain of 5 % instead of being sold at a loss of 5 %, a man gets Rs. 5 more. What is the cost price of the article ?

(a) Rs. 50

(b) Rs. 40

(c) Rs. 60

(d) Rs. 80

Discussion

Explore topic-wise InterviewSolutions in .

Question 69If the fifth class interval is 60-65 and fourth class interval is 55-60, then the first class interval is 45-50. ?

In the graph alongside, line LM is parallel to the Y-axis. (i) What is the distance of line LM from the Y-axis ? (ii) Write the co-ordinates of the points P, Q and R. (iii) What is the difference between the x co-ordinates of the points L and M?

Question 2 (a)Convert the following ratios to percentages:3:4

Write 10 rational numbers less than 2 such that the sum of the numerator and denominator does not exceed15.

In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. What is the approximate count of bacteria at the end of 2 hours if the count was initially 5,06,000?531616

The quotient obtained when pq2+5pq+6p is divided by pq+2p is

A cylindrical container is of depth 20 m and of radius 0.7 m. Find the curved surface area of cylindrical container.

sector have central angle less than 180o andsector make angle greater than 180o at the center of the circle.

Find the capacity of a closed rectangular cistern whose length is 8 m, breadth 6 m and depth 2.5m. Also find the area of the iron sheet required to make the cistern.

Question 66 For all rational numbers x and y, x - y = y - x

Find the values of the letters in the following and give reasons forthe steps involved.

find the remainder when 2 raise to the power 33 is divided by 17

The value of nCr + 2 nCr – 1 + nCr – 2, 2 ≤ r ≤ n, is ____________.

The perimeter of a rectangle is 40 m and one of its side measures 8 m. Find the length of the other side.

A packet of biscuits is in the form of a cuboid. Its length is 15cm, breadth 8cm and height is 3cm. The packets are placed in cuboidal box of side 1.2 m long. How many packets are placed in the box ?

V = 1 - 9t if t&lt;9 V= 5 - 2t if t =10 Find the value of v (m/s) when t = 5

Question 1(viii) Find the common factors of the terms 3x2y3,10x3y2,6x2y2z

Question 89In the following question, state whether the given statements are true (T) or false (F).Large numbers can be expressed in the standard form by using positive exponents.

Solve : 4−3x5+7−x3+413=0 Hence find the value of 'p' if 3p−2x+1=0

Match the values with the corresponding laws of exponents.

The compound interest on a principal of Rs 5000 at the rate of 20% for 2 years is Rs.___.

The following table shows the monthly income of 20 families.Find the mean monthly income of those families. Monthly income (xi) Number of families (fi) fixi 20000 2 40000 50000 4 200000 100000 5 500000 75000 6 450000 60000 3 180000

A service centre received the following number of calls per day over a period of 30 days. 6 5 6 9 7 4 2 4 7 8 3 4 9 8 2 3 5 9 7 8 9 7 5 6 7 7 4 6 2 4Using a frequency table, find the average number of calls per day. Round your answer to 1 decimal place.

Find out the wrong number in the series given below :2,3,5,9,16,33

Question 23A coin is tossed 12 times and the outcomes are observed as shown below:The chance of occurence of head is:(a) 12(b) 512(c) 712(d) 57

Seeing the value of the digit at unit's place, state which of the following can be square of a number : (i) 3051 (ii) 2332 (iii) 5684 (iv) 6908 (v) 50699

Draw an appropriate bar graph to depict the number of people with different blood groups. [4 MARKS] Blood GroupNo. of PeopleA6B5AB3O1

The sum of interior angles of a polygon is 1620° What type of polygon is this?

Which of the following numbers are divisible by 11 and 9 respectively?

Fill in the BlanksQuestion 20The X-coordinate of any point lying on the Y-axis will be ___.

Consider the following data set: 15 16 18 13 11 x 20 12 22 23 If the median of the given data set is 16.5, then x = .

If 60% people in a city like cricket, 30% like football and remaining like other games, then what percent people like other games? If the total number of people are 50 lakh, find exact number who like each type of game

Shreya travels 14th of an hour by car and24th of an hour by bike. What is the total time that Shreya travelled?

If Rs. 16 needs to be divide among 4 people when none of them get less than Rs. 3. What are the maximum rupees one can get? ___

The area of a trapezium (in sq. cm) whose parallel sides are 10 cm and 20 cm and the perpendicular distance between them is 5 cm is ___

Signs of the abscissa and ordinate of a point in the second quadrant are respectively(a) +, +(b) –, –(c) –, +(d) +, –

Find the average number of goals scored by alex using the frequency table. The number of goals scored by him in a tournament are given below. 0, 1 , 0 , 2, 3, 0, 0, 2, 3, 0, 1, 2, 4, 3, 3, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1.

SOLVE: 15(y-4) - 2(y-9) + 5(y+6) = 0

Question 8 Show that the angles of an equilateral triangle are 60∘ each

The fraction of income from various food items is given. Which of the line plot shows the given data?

If x2=7−√48, then x = _______________

Study the following pie diagrams and answer the question given below. Q19. If the number of D-type employees in 1998 were 5000 what would have been its approximate percentage in the company?

Mr X is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table. [4 MARKS]

How many four lettered words can be formed without repetition from the word FAILURE such that all the words start with the vowels?

The sum of 3 consecutive multiples of 6 is given as 180. Find the numbers obtained by dividing those multiples by 2.

If a=2,b=3,c=4, find the value of:(a) 3a−b+2c(b) a2−b2+c2(c) ab−3abc−2ac(d) a2b+bc−3c3−2abc

The value of (1212)2 is equal to

If an article is sold at a gain of 5 % instead of being sold at a loss of 5 %, a man gets Rs. 5 more. What is the cost price of the article ? (a) Rs. 50 (b) Rs. 40 (c) Rs. 60 (d) Rs. 80

V = 1 - 9t if t<9 V= 5 - 2t if t =10 Find the value of v (m/s) when t = 5