19743 + Interview Questions in Mathematics Page 101 InterviewSolution

5001.	Study the Joint Bar Graph and state which sport is most famous among boys?
Answer» Study the Joint Bar Graph and state which sport is most famous among boys?

Discussion

5002.	What is the square of cube root of 5?
Answer» What is the square of cube root of 5?

Discussion

5003.	Look at the price list and answer the following questions.ItemPrice in ₹ (per kg)Tomato12Potato10Onion16Carrot18Gourd8a) How much does 12 kg of potato cost?b) How much does 214 kg of gourd cost?
Answer» Look at the price list and answer the following questions. $\begin{matrix} I t e m & P r i c e i n ₹ (p e r k g) T o m a t o & 12 P o t a t o & 10 O n i o n & 16 C a r r o t & 18 G o u r d & 8 \end{matrix}$ a) How much does $\frac{1}{2}$ kg of potato cost? b) How much does $2 \frac{1}{4}$ kg of gourd cost?

Discussion

5004.	Question 13If ¯x represents the mean of n observations x1,x2,……xn, then value of ∑ni−1(xi−¯x) is:A) -1B) 0C) 1D) n - 1
Answer» Question 13 If $¯ x$ represents the mean of n observations $x_{1}, x_{2}, \dots \dots x_{n}$ , then value of $\sum_{i - 1}^{n} (x_{i} - ¯ x)$ is: A) -1 B) 0 C) 1 D) n - 1

Discussion

5005.	(5−2)−3 can be expressed as
Answer» $(5^{- 2})^{- 3}$ can be expressed as

Discussion

5006.	If the side of a square is doubled, its area becomes ___ times the original area.
Answer» If the side of a square is doubled, its area becomes ___ times the original area.

Discussion

5007.	Consider the function f(x)=8x2−7x+5 on the interval [−6,6]. Then the value of c that satisfies the conclusion of Lagrange's mean value theorem is:
Answer» Consider the function $f (x) = 8 x^{2} - 7 x + 5$ on the interval $[- 6, 6]$ . Then the value of $c$ that satisfies the conclusion of Lagrange's mean value theorem is:

Discussion

5008.	Find the value of x in the following figure, if the lines l & m are parallel to each other.
Answer» Find the value of x in the following figure, if the lines l & m are parallel to each other.

Discussion

5009.	If the weight of 12 books is 4.8 kg, then weight of 15 such books is ______ kg.6
Answer» If the weight of 12 books is 4.8 kg, then weight of 15 such books is ______ kg. 6

Discussion

5010.	What is the value of 80?
Answer» What is the value of 8⁰?

5010.

What is the value of 80?

Answer»

What is the value of 8⁰?

Discussion

5011.	In the below given figure of parallelogram, AF and BE are angle bisectors of ∠A and ∠B respectively. Find the measure of x.
Answer» In the below given figure of parallelogram, AF and BE are angle bisectors of $∠ A$ and $∠ B$ respectively. Find the measure of $x$ .

Discussion

5012.	(4 ÷ 2) + (-2) + (-11) = ?
Answer» (4 $\div$ 2) + (-2) + (-11) = ?

Discussion

5013.	Question 2In the given figure sides AB and AC of ΔABC are extended to points P and Q respectively. Also, ∠PBC<∠QCB. Show that AC > AB.
Answer» Question 2 In the given figure sides AB and AC of $Δ$ ABC are extended to points P and Q respectively. Also, $∠ P B C < ∠ Q C B$ . Show that AC > AB.

Discussion

5014.	the coŕrect sequence of formation of three gwrm layers i
Answer» the coŕrect sequence of formation of three gwrm layers i

Discussion

5015.	Observe the pattern given below. What is the general expression for this pattern?
Answer» Observe the pattern given below. What is the general expression for this pattern?

5015.

Observe the pattern given below. What is the general expression for this pattern?

Answer»

Observe the pattern given below.

What is the general expression for this pattern?

Discussion

5016.	Question 92 (b) Write the following as rational number in their standard forms. 1.2
Answer» Question 92 (b) Write the following as rational number in their standard forms. 1.2

5016.

Question 92 (b) Write the following as rational number in their standard forms. 1.2

Answer»

Question 92 (b)

Write the following as rational number in their standard forms.
1.2

Discussion

5017.	Score of team A in an inning of a cricket test match was 7/16 of the total score and the highest score of team B was 7/24 of the remaining score. Difference between the score was 70. What was the total score?
Answer» Score of team A in an inning of a cricket test match was 7/16 of the total score and the highest score of team B was 7/24 of the remaining score. Difference between the score was 70. What was the total score?

Discussion

5018.	Question 89What figure is formed if only the height of a cube is increased or decreased?
Answer» Question 89 What figure is formed if only the height of a cube is increased or decreased?

Discussion

5019.	Find the value of the product 7×(−8)×(−2)×(−9).
Answer» Find the value of the product $7 \times (- 8) \times (- 2) \times (- 9)$ .

Discussion

5020.	How many altitude(s) can be drawn in a triangle?
Answer» How many altitude(s) can be drawn in a triangle?

Discussion

5021.	Which of the following net diagrams can be used for the cube shown above?
Answer» Which of the following net diagrams can be used for the cube shown above?

5021.

Which of the following net diagrams can be used for the cube shown above?

Answer»

Which of the following net diagrams can be used for the cube shown above?

Discussion

5022.	Find the value of the polynomial 2x - 2x3 + 7 using given values for x.(i) x = 3 (ii) x = -1 (iii) x = 0
Answer» Find the value of the polynomial $2 x - 2 x^{3} + 7$ using given values for $x$ . (i) $x = 3$ (ii) $x = - 1$ (iii) x = 0

Discussion

5023.	Find thevalue of:(a) 9.756− 6.28(b) 21.05− 15.27(c) 18.5 −6.79(d) 11.6 −9.847
Answer» Find the value of: (a) 9.756 − 6.28 (b) 21.05 − 15.27 (c) 18.5 − 6.79 (d) 11.6 − 9.847

5023.

Find thevalue of:(a) 9.756− 6.28(b) 21.05− 15.27(c) 18.5 −6.79(d) 11.6 −9.847

Answer»

Find the
value of:

(a) 9.756
− 6.28

(b) 21.05
− 15.27

(c) 18.5 −
6.79

(d) 11.6 −
9.847

Discussion

5024.	Simplify:(−5×(2/15))−(−6×(2/9))
Answer» Simplify: $(- 5 \times (2 / 15)) - (- 6 \times (2 / 9))$

Discussion

5025.	In a box the ratio of red marble to Blue marble is 7: 4. find the total number of marble if there are 33 blue Marble in the box
Answer» In a box the ratio of red marble to Blue marble is 7: 4. find the total number of marble if there are 33 blue Marble in the box

Discussion

5026.	Question 16 12 defective pens are accidently mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.
Answer» Question 16 12 defective pens are accidently mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.

Discussion

5027.	Question 81 (iii)Add :xy2z2+3x2y2z−4x2yz2,−9x2y2z+3xy2z2+x2yz2
Answer» Question 81 (iii) Add : $x y^{2} z^{2} + 3 x^{2} y^{2} z - 4 x^{2} y z^{2}, - 9 x^{2} y^{2} z + 3 x y^{2} z^{2} + x^{2} y z^{2}$

5027.

Question 81 (iii)Add :xy2z2+3x2y2z−4x2yz2,−9x2y2z+3xy2z2+x2yz2

Answer»

Question 81 (iii)

Add :

$x y^{2} z^{2} + 3 x^{2} y^{2} z - 4 x^{2} y z^{2}, - 9 x^{2} y^{2} z + 3 x y^{2} z^{2} + x^{2} y z^{2}$

Discussion

5028.	The following pictures show different types of what?
Answer» The following pictures show different types of what?

Discussion

5029.

Colour thepart according to the given fraction. (i) (ii) (iii) (iv) (v)

Answer»

Colour the
part according to the given fraction.


(i)	(ii)	(iii)

(iv)	(v)

Discussion

5030.	how ti calculate pythagorean triplet when one number is given
Answer» how ti calculate pythagorean triplet when one number is given

Discussion

5031.	Which of the following is a monomial?
Answer» Which of the following is a monomial?

Discussion

5032.	13. If z= (1+i)/2 then value of z raise to power 1929 is
Answer» 13. If z= (1+i)/2 then value of z raise to power 1929 is

Discussion

5033.	Which of the following angle can be constructed using a ruler and compass?
Answer» Which of the following angle can be constructed using a ruler and compass?

Discussion

5034.	Statement 1: Product of two integers with same signs is always a positive integer. Statement 2: Product of two integers with different signs is always a positive integer. Choose the correct option:
Answer» Statement 1: Product of two integers with same signs is always a positive integer. Statement 2: Product of two integers with different signs is always a positive integer. Choose the correct option:

5034.

Statement 1: Product of two integers with same signs is always a positive integer. Statement 2: Product of two integers with different signs is always a positive integer. Choose the correct option:

Answer»

Statement 1: Product of two integers with same signs is always a positive integer.

Statement 2: Product of two integers with different signs is always a positive integer.

Choose the correct option:

Discussion

5035.	A secretary and a trainee are processing a pile of 124 forms. The secretary processes 15 forms per hour while the trainee processes 7 forms per hour. If the trainee begins working at 9:00 a.m. and the secretary starts working after 2 hours, at what time will they finish the pile of forms?
Answer» A secretary and a trainee are processing a pile of 124 forms. The secretary processes 15 forms per hour while the trainee processes 7 forms per hour. If the trainee begins working at 9:00 a.m. and the secretary starts working after 2 hours, at what time will they finish the pile of forms?

Discussion

5036.	Between two given rational numbers, we can find
Answer» Between two given rational numbers, we can find

Discussion

5037.	If the cost price of 15 pens is equal to the selling price of 20 pens, then the loss percent is(a) 25%(b) 20%(c) 15%(d) 18%
Answer» If the cost price of 15 pens is equal to the selling price of 20 pens, then the loss percent is (a) 25% (b) 20% (c) 15% (d) 18%

Discussion

5038.	Question 135 Taking today as zero on the number line, if the day before yesterday is 17 January, what is the date 3 days after tomorrow?
Answer» Question 135 Taking today as zero on the number line, if the day before yesterday is 17 January, what is the date 3 days after tomorrow?

5038.

Question 135 Taking today as zero on the number line, if the day before yesterday is 17 January, what is the date 3 days after tomorrow?

Answer»

Question 135

Taking today as zero on the number line, if the day before yesterday is 17 January, what is the date 3 days after tomorrow?

Discussion

5039.	There are 30 numbers greater than 20 and less than 51 out of which numbers are multiple of 9, And numbers have 7 as one of their factor.
Answer» There are 30 numbers greater than 20 and less than 51 out of which numbers are multiple of 9, And numbers have 7 as one of their factor.

Discussion

5040.	Solve the following inequation, and graph the solution set, on the number line. 2 – 3 < + 2 < 3 + 5; ε R.
Answer» Solve the following inequation, and graph the solution set, on the number line. 2 – 3 < + 2 < 3 + 5; ε R.

5040.

Solve the following inequation, and graph the solution set, on the number line. 2 – 3 < + 2 < 3 + 5; ε R.

Answer»

Solve the following inequation, and graph the solution set, on the number line.

2 – 3 < + 2 < 3 + 5; ε R.

Discussion

5041.	Find the common factor of the expression: 6x3y4z5+9x5y2z6+24x2y7z4.
Answer» Find the common factor of the expression: $6 x^{3} y^{4} z^{5} + 9 x^{5} y^{2} z^{6} + 24 x^{2} y^{7} z^{4}$ .

Discussion

5042.	In an equilateral triangle ABC, If AD ⊥ BC, then(a) 2AB2 = 3AD2(b) 4AB2 = 3AD2(c) 3AB2 = 4AD2(d) 3AB2 = 2AD2
Answer» In an equilateral triangle ABC, If AD ⊥ BC, then (a) 2AB² = 3AD² (b) 4AB² = 3AD² (c) 3AB² = 4AD² (d) 3AB² = 2AD²

Discussion

5043.	Question 3Draw an angle of 80∘ with the help of protractor. Then, construct angles of(i) 40∘(ii) 160∘ (iii) 120∘
Answer» Question 3 Draw an angle of $80^{\circ}$ with the help of protractor. Then, construct angles of (i) $40^{\circ}$ (ii) $160^{\circ}$ (iii) $120^{\circ}$

Discussion

5044.	Write a program to read a list of elements. Modify this list so that it does not contain any duplicate elements, i.e., all elements occurring multiple times in the list should appear only once.
Answer» Write a program to read a list of elements. Modify this list so that it does not contain any duplicate elements, i.e., all elements occurring multiple times in the list should appear only once.

Discussion

5045.	41. 2+3 / 32-23 = a-b6
Answer» 41. 2+3 / 32-23 = a-b6

Discussion

5046.	Tap the bubble having an obtuse angle.
Answer» Tap the bubble having an obtuse angle.

Discussion

5047.	Give the value of.
Answer» Give the value of.

Discussion

5048.	A door oflength 2 m and breadth 1 m is fitted in a wall. The length of thewall is 4.5 m and the breadth is 3.6 m (see the given figure). Findthe cost of white washing the wall, if the rate of white washing thewall is Rs 20 per m2.
Answer» A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m (see the given figure). Find the cost of white washing the wall, if the rate of white washing the wall is Rs 20 per m².

5048.

A door oflength 2 m and breadth 1 m is fitted in a wall. The length of thewall is 4.5 m and the breadth is 3.6 m (see the given figure). Findthe cost of white washing the wall, if the rate of white washing thewall is Rs 20 per m2.

Answer»

A door of
length 2 m and breadth 1 m is fitted in a wall. The length of the
wall is 4.5 m and the breadth is 3.6 m (see the given figure). Find
the cost of white washing the wall, if the rate of white washing the
wall is Rs 20 per m².

Discussion

5049.	Construct a triangle ABC, in which AB = 5.6 cm and AB = BC, ∠B = 60°.
Answer» Construct a triangle ABC, in which AB = 5.6 cm and AB = BC, ∠B = 60°.

Discussion

5050.

Question 92 (xxxi)Factorise the following using the identity a2−b2=(a+b)(a−b).9x2−(3y+z)2

Answer»

Question 92 (xxxi)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$9 x^{2} - (3 y + z)^{2}$

Discussion

Explore topic-wise InterviewSolutions in .

Study the Joint Bar Graph and state which sport is most famous among boys?

What is the square of cube root of 5?

Look at the price list and answer the following questions.ItemPrice in ₹ (per kg)Tomato12Potato10Onion16Carrot18Gourd8a) How much does 12 kg of potato cost?b) How much does 214 kg of gourd cost?

Question 13If ¯x represents the mean of n observations x1,x2,……xn, then value of ∑ni−1(xi−¯x) is:A) -1B) 0C) 1D) n - 1

(5−2)−3 can be expressed as

If the side of a square is doubled, its area becomes ___ times the original area.

Consider the function f(x)=8x2−7x+5 on the interval [−6,6]. Then the value of c that satisfies the conclusion of Lagrange's mean value theorem is:

Find the value of x in the following figure, if the lines l &amp; m are parallel to each other.

If the weight of 12 books is 4.8 kg, then weight of 15 such books is ______ kg.6

What is the value of 80?

In the below given figure of parallelogram, AF and BE are angle bisectors of ∠A and ∠B respectively. Find the measure of x.

(4 ÷ 2) + (-2) + (-11) = ?

Question 2In the given figure sides AB and AC of ΔABC are extended to points P and Q respectively. Also, ∠PBC&lt;∠QCB. Show that AC &gt; AB.

the coŕrect sequence of formation of three gwrm layers i

Observe the pattern given below. What is the general expression for this pattern?

Question 92 (b) Write the following as rational number in their standard forms. 1.2

Score of team A in an inning of a cricket test match was 7/16 of the total score and the highest score of team B was 7/24 of the remaining score. Difference between the score was 70. What was the total score?

Question 89What figure is formed if only the height of a cube is increased or decreased?

Find the value of the product 7×(−8)×(−2)×(−9).

How many altitude(s) can be drawn in a triangle?

Which of the following net diagrams can be used for the cube shown above?

Find the value of the polynomial 2x - 2x3 + 7 using given values for x.(i) x = 3 (ii) x = -1 (iii) x = 0

Find thevalue of:(a) 9.756− 6.28(b) 21.05− 15.27(c) 18.5 −6.79(d) 11.6 −9.847

Simplify:(−5×(2/15))−(−6×(2/9))

In a box the ratio of red marble to Blue marble is 7: 4. find the total number of marble if there are 33 blue Marble in the box

Question 16 12 defective pens are accidently mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.

Question 81 (iii)Add :xy2z2+3x2y2z−4x2yz2,−9x2y2z+3xy2z2+x2yz2

The following pictures show different types of what?

Colour thepart according to the given fraction. (i) (ii) (iii) (iv) (v)

how ti calculate pythagorean triplet when one number is given

Which of the following is a monomial?

13. If z= (1+i)/2 then value of z raise to power 1929 is

Which of the following angle can be constructed using a ruler and compass?

Statement 1: Product of two integers with same signs is always a positive integer. Statement 2: Product of two integers with different signs is always a positive integer. Choose the correct option:

A secretary and a trainee are processing a pile of 124 forms. The secretary processes 15 forms per hour while the trainee processes 7 forms per hour. If the trainee begins working at 9:00 a.m. and the secretary starts working after 2 hours, at what time will they finish the pile of forms?

Between two given rational numbers, we can find

If the cost price of 15 pens is equal to the selling price of 20 pens, then the loss percent is(a) 25%(b) 20%(c) 15%(d) 18%

Question 135 Taking today as zero on the number line, if the day before yesterday is 17 January, what is the date 3 days after tomorrow?

There are 30 numbers greater than 20 and less than 51 out of which numbers are multiple of 9, And numbers have 7 as one of their factor.

Solve the following inequation, and graph the solution set, on the number line. 2 – 3 &lt; + 2 &lt; 3 + 5; ε R.

Find the common factor of the expression: 6x3y4z5+9x5y2z6+24x2y7z4.

In an equilateral triangle ABC, If AD ⊥ BC, then(a) 2AB2 = 3AD2(b) 4AB2 = 3AD2(c) 3AB2 = 4AD2(d) 3AB2 = 2AD2

Question 3Draw an angle of 80∘ with the help of protractor. Then, construct angles of(i) 40∘(ii) 160∘ (iii) 120∘

Write a program to read a list of elements. Modify this list so that it does not contain any duplicate elements, i.e., all elements occurring multiple times in the list should appear only once.

41. 2+3 / 32-23 = a-b6

Tap the bubble having an obtuse angle.

Give the value of.

A door oflength 2 m and breadth 1 m is fitted in a wall. The length of thewall is 4.5 m and the breadth is 3.6 m (see the given figure). Findthe cost of white washing the wall, if the rate of white washing thewall is Rs 20 per m2.

Construct a triangle ABC, in which AB = 5.6 cm and AB = BC, ∠B = 60°.

Question 92 (xxxi)Factorise the following using the identity a2−b2=(a+b)(a−b).9x2−(3y+z)2

Find the value of x in the following figure, if the lines l & m are parallel to each other.

Question 2In the given figure sides AB and AC of ΔABC are extended to points P and Q respectively. Also, ∠PBC<∠QCB. Show that AC > AB.

Solve the following inequation, and graph the solution set, on the number line. 2 – 3 < + 2 < 3 + 5; ε R.