16437 + Interview Questions in Mathematics Page 145 InterviewSolution

7201.	4 chairs and 3 tables cost Rs.2100 and 5 chairs and 2 tables cost Rs 1750 then the costs of a chair and a table separately would be? Kindly use one variable only.
Answer» 4 chairs and 3 tables cost Rs.2100 and 5 chairs and 2 tables cost Rs 1750 then the costs of a chair and a table separately would be? Kindly use one variable only.

Discussion

7202.	9 - (-8) + 8 + (-18) = ___
Answer» 9 - (-8) + 8 + (-18) = ___

Discussion

7203.	How many circles are there in a cylinder?
Answer» How many circles are there in a cylinder?

Discussion

7204.	John cuts out 35th of a cake. Then he shares 34th of his portion of cake, with his friend Anna. What fraction of the cake does Anna have?
Answer» $John cuts out 35th of a cake. Then he shares 34th of his portion of cake, with his friend Anna. What fraction of the cake does Anna have?$

Discussion

7205.	In the table given below, the favorite fruits of class VII students are represented by tally marks.Find the total number of students who like mango and banana.42
Answer» In the table given below, the favorite fruits of class VII students are represented by tally marks. Find the total number of students who like mango and banana. 42

Discussion

7206.	On a certain day at a certain time in Siberia, the temperature was - 33oF. On the same day at the same time, the temperature in Kenya was 33oF.What is the difference between the two temperatures in degrees?66
Answer» On a certain day at a certain time in Siberia, the temperature was - 33 $^{o}$ F. On the same day at the same time, the temperature in Kenya was 33 $^{o}$ F.What is the difference between the two temperatures in degrees? 66

Discussion

7207.	The symbol M in Roman numeral stands for:
Answer» The symbol M in Roman numeral stands for:

Discussion

7208.	THE SUM OF ALL NATURAL NUMBERS 'N' SUCH THAT 1001 IS A) 3203 B
Answer» THE SUM OF ALL NATURAL NUMBERS 'N' SUCH THAT 1001 IS A) 3203 B

Discussion

7209.	From the figure given below ,name the three acute angles formed.
Answer» From the figure given below ,name the three acute angles formed.

7209.

From the figure given below ,name the three acute angles formed.

Answer»

From the figure given below ,name the three acute angles formed.

Discussion

7210.	Which of the following is a binomial?
Answer» Which of the following is a binomial?

Discussion

7211.	Check whether the following statement is true (T) or false (F):All natural numbers are whole numbers.
Answer» Check whether the following statement is true (T) or false (F): All natural numbers are whole numbers.

Discussion

7212.	The least surface area of a closed cylinder of a given volume 16πm3 is
Answer» The least surface area of a closed cylinder of a given volume $16 π m^{3}$ is

Discussion

7213.	The number of five digits can be made with the digits 1, 2, 3 each of which can be used atmost thrice in a number is K then k÷30 is equal t
Answer» The number of five digits can be made with the digits 1, 2, 3 each of which can be used atmost thrice in a number is K then k÷30 is equal t

Discussion

7214.	Question 29In the given question, fill in the blanks to make the statement true.A number is divisible by 11 if the differences between the sum of digits at its odd places and that of digits at the even places are either 0 or divisible by ___.
Answer» Question 29 In the given question, fill in the blanks to make the statement true. A number is divisible by 11 if the differences between the sum of digits at its odd places and that of digits at the even places are either 0 or divisible by ___.

Discussion

7215.	Adding 1 to the largest 6-digit number gives us the smallest _____ digit number.
Answer» Adding 1 to the largest 6-digit number gives us the smallest _____ digit number.

Discussion

7216.	1848 in the lowest terms is
Answer» $\frac{18}{48}$ in the lowest terms is

Discussion

7217.	Question 6: Consider the following figure of line ←−→MN. Say whether the following statement is true or false in the context of the given figure: (a) N is the initial point of −−→NP and −−−→NM.
Answer» Question 6: Consider the following figure of line $\leftarrow - \to M N$ . Say whether the following statement is true or false in the context of the given figure: (a) N is the initial point of $- - \to N P$ and $- -- \to N M$ .

Discussion

7218.	A circle with cenre O has radius 5 cm. If P is a point whose distance from O is 3.5 cm, then P lies ___ of the circle.
Answer» A circle with cenre O has radius 5 cm. If P is a point whose distance from O is 3.5 cm, then P lies ___ of the circle.

7218.

A circle with cenre O has radius 5 cm. If P is a point whose distance from O is 3.5 cm, then P lies ___ of the circle.

Answer»

A circle with cenre O has radius 5 cm. If P is a point whose distance from O is 3.5 cm, then P lies ___ of the circle.

Discussion

7219.	Question 1(d) : Sove: 57+13
Answer» Question 1(d) : Sove: $\frac{5}{7} + \frac{1}{3}$

7219.

Question 1(d) : Sove: 57+13

Answer»

Question 1(d) :

Sove:

$\frac{5}{7} + \frac{1}{3}$

Discussion

7220.	X and Y are partners sharing profits in the ratio of 3 : 2 with capitals of ₹ 8,00,000 and ₹ 6,00,000 respectively. Interest on capital is agreed 5% p.a. Y is to be allowed an annual salary of ₹ 60,000 which has not been withdrawn. Profit for the year ended 31st March, 2019 before interest on capital but after charging Y's salary amounted to ₹ 2,40,000.A provision of 5% of the profit is to be made in respect commission to the manager. Prepare an account showing the allocation profits.
Answer» X and Y are partners sharing profits in the ratio of 3 : 2 with capitals of ₹ 8,00,000 and ₹ 6,00,000 respectively. Interest on capital is agreed 5% p.a. Y is to be allowed an annual salary of ₹ 60,000 which has not been withdrawn. Profit for the year ended 31st March, 2019 before interest on capital but after charging Y's salary amounted to ₹ 2,40,000. A provision of 5% of the profit is to be made in respect commission to the manager. Prepare an account showing the allocation profits.

Discussion

7221.	Supposethe demand and supply curves of salt are given by:qD = 1,000 − p qS= 700 + 2p(a) Findthe equilibrium price and quantity.(b) Now, suppose that the price of an input that used to produce salthas increased so, that the new supply curve isqS = 400 +2pHow does the equilibrium price and quantity change? Does the changeconform to your expectation?(c) Suppose the government has imposed a tax of Rs 3 per unit of saleon salt. How does it affect the equilibrium rice quantity?
Answer» Suppose the demand and supply curves of salt are given by: q^D = 1,000 − p q^S = 700 + 2p (a) Find the equilibrium price and quantity. (b) Now, suppose that the price of an input that used to produce salt has increased so, that the new supply curve is q^S = 400 +2p How does the equilibrium price and quantity change? Does the change conform to your expectation? (c) Suppose the government has imposed a tax of Rs 3 per unit of sale on salt. How does it affect the equilibrium rice quantity?

7221.

Supposethe demand and supply curves of salt are given by:qD = 1,000 − p qS= 700 + 2p(a) Findthe equilibrium price and quantity.(b) Now, suppose that the price of an input that used to produce salthas increased so, that the new supply curve isqS = 400 +2pHow does the equilibrium price and quantity change? Does the changeconform to your expectation?(c) Suppose the government has imposed a tax of Rs 3 per unit of saleon salt. How does it affect the equilibrium rice quantity?

Answer»

Suppose
the demand and supply curves of salt are given by:

q^D = 1,000 − p q^S
= 700 + 2p

(a) Find
the equilibrium price and quantity.

(b) Now, suppose that the price of an input that used to produce salt
has increased so, that the new supply curve is

q^S = 400 +2p

How does the equilibrium price and quantity change? Does the change
conform to your expectation?

(c) Suppose the government has imposed a tax of Rs 3 per unit of sale
on salt. How does it affect the equilibrium rice quantity?

Discussion

7222.	Find the product, using suitable properties: 8×53×(−125)
Answer» Find the product, using suitable properties: $8 \times 53 \times (- 125)$

Discussion

7223.	The locus represented by xy + yz = 0 is(a) a pair of perpendicular lines(b) a pair of parallel lines(c) a pair of parallel planes(d) a pair of perpendicular planes
Answer» The locus represented by xy + yz = 0 is (a) a pair of perpendicular lines (b) a pair of parallel lines (c) a pair of parallel planes (d) a pair of perpendicular planes

Discussion

7224.	If 2ax−2y+3z=0,x+ay+2z=0 and 2x+az=0 has a non-trivial solution,then the value of a is:
Answer» If $2 a x - 2 y + 3 z = 0, x + a y + 2 z = 0 and 2 x + a z = 0$ has a non-trivial solution,then the value of $a$ is:

Discussion

7225.	Identify the equivalent fraction for each given fraction.
Answer» Identify the equivalent fraction for each given fraction.

Discussion

7226.	oint (3,2c) lies in between the line x+y=c and x+y=3c.The number of integral values of c that lies in between the range of c is
Answer» oint (3,2c) lies in between the line x+y=c and x+y=3c.The number of integral values of c that lies in between the range of c is

Discussion

7227.	Arrange 12.142, 12.124, 12.104, 12.401 and 12.214 in ascending order.
Answer» Arrange 12.142, 12.124, 12.104, 12.401 and 12.214 in ascending order.

Discussion

7228.	In the given figure, two parallel lines l and m are cut by two transversal p and q. Determine the values of x and y.
Answer» In the given figure, two parallel lines l and m are cut by two transversal p and q. Determine the values of x and y.

Discussion

7229.	Each side of a square field is 10 m. Find the cost of ploughing the field at the rate of ₹1.50 per m2
Answer» Each side of a square field is 10 m. Find the cost of ploughing the field at the rate of ₹1.50 per m²

Discussion

7230.	5(-1-1)+2(-1+3)+6=0
Answer» 5(-1-1)+2(-1+3)+6=0

Discussion

7231.	Find the value of the product 4×(−9).
Answer» Find the value of the product $4 \times (- 9)$ .

Discussion

7232.	Question 9Which of the following figures do not satisfy any of the following properties?- All sides are equal.-All angles are right angles.-Opposite sides are parallel.
Answer» Question 9 Which of the following figures do not satisfy any of the following properties? - All sides are equal. -All angles are right angles. -Opposite sides are parallel.

Discussion

7233.	p×(qr)=sIf q<r, then which of the following statements is always correct?
Answer» $p \times (\frac{q}{r}) = s$ $If q < r, then which of the following statements is always correct?$

Discussion

7234.	Express the following as algebraic equations and solve(a) Twice a number increased by 7 is 13. What is the number?(b) Seven times a number decreased by 4 is 10. Find the number.
Answer» Express the following as algebraic equations and solve (a) Twice a number increased by 7 is 13. What is the number? (b) Seven times a number decreased by 4 is 10. Find the number.

Discussion

7235.	The cost of 5 books is ₹ 240. Amit buys 20 such books and pays the shopkeeper ₹ 1000. How much does the shopkeeper has to pay Amit in return?
Answer» The cost of 5 books is ₹ 240. Amit buys 20 such books and pays the shopkeeper ₹ 1000. How much does the shopkeeper has to pay Amit in return?

Discussion

7236.	In the following figure, is ∠1 adjacent to ∠2? Give reasons.
Answer» In the following figure, is ∠1 adjacent to ∠2? Give reasons.

Discussion

7237.	The figure below shows a circle divided into 3 equal parts. The shaded region corresponds to 23rd of the circle. If the unshaded region corresponds to a3rd of the circle. Then find the value of a.
Answer» The figure below shows a circle divided into 3 equal parts. The shaded region corresponds to ${\frac{2}{3}}^{r d}$ of the circle. If the unshaded region corresponds to ${\frac{a}{3}}^{r d}$ of the circle. Then find the value of $a$ .

Discussion

7238.	Question 79 Sum of two integers is -80. If one of the integer is -90, then find the other.
Answer» Question 79 Sum of two integers is -80. If one of the integer is -90, then find the other.

7238.

Question 79 Sum of two integers is -80. If one of the integer is -90, then find the other.

Answer»

Question 79

Sum of two integers is -80. If one of the integer is -90, then find the other.

Discussion

7239.	Which of the following fractions are proper fractions?
Answer» Which of the following fractions are proper fractions?

Discussion

7240.	45 of 5 kg apples were used on Monday. The next day 13 of what was left was used. The weight (in kg) of apples left now is _____.
Answer» $\frac{4}{5}$ of 5 kg apples were used on Monday. The next day $\frac{1}{3}$ of what was left was used. The weight (in kg) of apples left now is _____.

Discussion

7241.	If 45 is added to half the number the result is triple the number find the number
Answer» If 45 is added to half the number the result is triple the number find the number

Discussion

7242.	Among the following options, which shape has the maximum lines of symmetry?
Answer» Among the following options, which shape has the maximum lines of symmetry?

Discussion

7243.	11. Two circles touch each other internally.Prove that the tangents drawn to the two circles from any point on the common tangent are equal in length.
Answer» 11. Two circles touch each other internally.Prove that the tangents drawn to the two circles from any point on the common tangent are equal in length.

Discussion

7244.	The position (y)-time(t) relation is given by y=83t3 then velocity at time t=1s is ?
Answer» The position (y)-time(t) relation is given by $y = \frac{8}{3} t^{3}$ then velocity at time t=1s is ?

Discussion

7245.	If P(n) : 2n < n!, n ∈ N, then P(n) is true for all n ≥ _____________.
Answer» If P(n) : 2n < n!, n ∈ N, then P(n) is true for all n ≥ _____________.

Discussion

7246.	If we want to mark +3 on a number line, we will move 3 units to the ___ of zero on the number line.
Answer» If we want to mark +3 on a number line, we will move 3 units to the ___ of zero on the number line.

Discussion

7247.	Check whether is 798 divisible by 7.
Answer» Check whether is 798 divisible by 7.

Discussion

7248.	Identify the set(s) of unlike fractions from the following:
Answer» Identify the set(s) of unlike fractions from the following:

Discussion

7249.	In the figure below, lines AB and CD intersect each other at point O. Angles (∠ AOD, ∠ COB) and (∠ AOC, ∠ BOD) are called ___.
Answer» In the figure below, lines AB and CD intersect each other at point O. Angles ( $∠$ AOD, $∠$ COB) and ( $∠$ AOC, $∠$ BOD) are called ___.

7249.

In the figure below, lines AB and CD intersect each other at point O. Angles (∠ AOD, ∠ COB) and (∠ AOC, ∠ BOD) are called ___.

Answer»

In the figure below, lines AB and CD intersect each other at point O. Angles ( $∠$ AOD, $∠$ COB) and ( $∠$ AOC, $∠$ BOD) are called ___.

Discussion

7250.	Find the inverser ratio of the compound ratio of 5:2,4:3,1:10
Answer» Find the inverser ratio of the compound ratio of 5:2,4:3,1:10

Discussion

Explore topic-wise InterviewSolutions in .

4 chairs and 3 tables cost Rs.2100 and 5 chairs and 2 tables cost Rs 1750 then the costs of a chair and a table separately would be? Kindly use one variable only.

9 - (-8) + 8 + (-18) = ___

How many circles are there in a cylinder?

John cuts out 35th of a cake. Then he shares 34th of his portion of cake, with his friend Anna. What fraction of the cake does Anna have?

In the table given below, the favorite fruits of class VII students are represented by tally marks.Find the total number of students who like mango and banana.42

On a certain day at a certain time in Siberia, the temperature was - 33oF. On the same day at the same time, the temperature in Kenya was 33oF.What is the difference between the two temperatures in degrees?66

The symbol M in Roman numeral stands for:

THE SUM OF ALL NATURAL NUMBERS 'N' SUCH THAT 1001 IS A) 3203 B

From the figure given below ,name the three acute angles formed.

Which of the following is a binomial?

Check whether the following statement is true (T) or false (F):All natural numbers are whole numbers.

The least surface area of a closed cylinder of a given volume 16πm3 is

The number of five digits can be made with the digits 1, 2, 3 each of which can be used atmost thrice in a number is K then k÷30 is equal t

Question 29In the given question, fill in the blanks to make the statement true.A number is divisible by 11 if the differences between the sum of digits at its odd places and that of digits at the even places are either 0 or divisible by ___.

Adding 1 to the largest 6-digit number gives us the smallest _____ digit number.

1848 in the lowest terms is

Question 6: Consider the following figure of line ←−→MN. Say whether the following statement is true or false in the context of the given figure: (a) N is the initial point of −−→NP and −−−→NM.

A circle with cenre O has radius 5 cm. If P is a point whose distance from O is 3.5 cm, then P lies ___ of the circle.

Question 1(d) : Sove: 57+13

Find the product, using suitable properties: 8×53×(−125)

The locus represented by xy + yz = 0 is(a) a pair of perpendicular lines(b) a pair of parallel lines(c) a pair of parallel planes(d) a pair of perpendicular planes

If 2ax−2y+3z=0,x+ay+2z=0 and 2x+az=0 has a non-trivial solution,then the value of a is:

Identify the equivalent fraction for each given fraction.

oint (3,2c) lies in between the line x+y=c and x+y=3c.The number of integral values of c that lies in between the range of c is

Arrange 12.142, 12.124, 12.104, 12.401 and 12.214 in ascending order.

In the given figure, two parallel lines l and m are cut by two transversal p and q. Determine the values of x and y.

Each side of a square field is 10 m. Find the cost of ploughing the field at the rate of ₹1.50 per m2

5(-1-1)+2(-1+3)+6=0

Find the value of the product 4×(−9).

Question 9Which of the following figures do not satisfy any of the following properties?- All sides are equal.-All angles are right angles.-Opposite sides are parallel.

p×(qr)=sIf q&lt;r, then which of the following statements is always correct?

Express the following as algebraic equations and solve(a) Twice a number increased by 7 is 13. What is the number?(b) Seven times a number decreased by 4 is 10. Find the number.

The cost of 5 books is ₹ 240. Amit buys 20 such books and pays the shopkeeper ₹ 1000. How much does the shopkeeper has to pay Amit in return?

In the following figure, is ∠1 adjacent to ∠2? Give reasons.

The figure below shows a circle divided into 3 equal parts. The shaded region corresponds to 23rd of the circle. If the unshaded region corresponds to a3rd of the circle. Then find the value of a.

Question 79 Sum of two integers is -80. If one of the integer is -90, then find the other.

Which of the following fractions are proper fractions?

45 of 5 kg apples were used on Monday. The next day 13 of what was left was used. The weight (in kg) of apples left now is _____.

If 45 is added to half the number the result is triple the number find the number

Among the following options, which shape has the maximum lines of symmetry?

11. Two circles touch each other internally.Prove that the tangents drawn to the two circles from any point on the common tangent are equal in length.

The position (y)-time(t) relation is given by y=83t3 then velocity at time t=1s is ?

If P(n) : 2n < n!, n ∈ N, then P(n) is true for all n ≥ _____________.

If we want to mark +3 on a number line, we will move 3 units to the ___ of zero on the number line.

Check whether is 798 divisible by 7.

Identify the set(s) of unlike fractions from the following:

In the figure below, lines AB and CD intersect each other at point O. Angles (∠ AOD, ∠ COB) and (∠ AOC, ∠ BOD) are called ___.

Find the inverser ratio of the compound ratio of 5:2,4:3,1:10

p×(qr)=sIf q<r, then which of the following statements is always correct?