19743 + Interview Questions in Mathematics Page 68 InterviewSolution

3351.	Which of the folowing option is correct for the below diangram?
Answer» Which of the folowing option is correct for the below diangram?

Discussion

3352.	Read the bar graph given below and answer the following questions: Scale : 1 unit = 50 students(d) In which year did the number of students decrease as compared to previous year?(e) In which year is the increase in number of students maximum as compared to the previous year?
Answer» Read the bar graph given below and answer the following questions: Scale : 1 unit = 50 students (d) In which year did the number of students decrease as compared to previous year? (e) In which year is the increase in number of students maximum as compared to the previous year?

Discussion

3353.	9. Prove that the product of two consecutive positive integers is divisible by 2
Answer» 9. Prove that the product of two consecutive positive integers is divisible by 2

Discussion

3354.	In the given figure x, y and z are the internal angles of ∆ABD. Line ED \|\| AB and side AD is extrapolated to point P and the values of ∠EDP and ∠EDB are n and m respectively. Then, the values of n and m are ______ and _______, respectively.
Answer» In the given figure x, y and z are the internal angles of ∆ABD. Line ED \|\| AB and side AD is extrapolated to point P and the values of $∠$ EDP and $∠$ EDB are n and m respectively. Then, the values of n and m are ______ and _______, respectively.

3354.

In the given figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the values of ∠EDP and ∠EDB are n and m respectively. Then, the values of n and m are and _, respectively.

Answer»

In the given figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the values of $∠$ EDP and $∠$ EDB are n and m respectively. Then, the values of n and m are ______ and _______, respectively.

Discussion

3355.	12018 >
Answer» $1^{2018}$ >

Discussion

3356.	If 3/5 of a number exceeds its 2/7 by 44, find the number.
Answer» If 3/5 of a number exceeds its 2/7 by 44, find the number.

Discussion

3357.	If the length of one of the diagonals of a rhombus of side 20 cm is 24 cm, then the length of the other diagonal is :
Answer» If the length of one of the diagonals of a rhombus of side 20 cm is 24 cm, then the length of the other diagonal is :

Discussion

3358.

A district consists of a urban area and a rural area. The temperature of the respective areas are recorded at different time of the day and tabulated as follows: Temperature (oC) Time Urban Area Rural Area 1730 1830 1930 2030 2130 2230 2330 2625252424232322232222212121 Plot a double line graph and choose the same from the given options.

Answer»

A district consists of a urban area and a rural area. The temperature of the respective areas are recorded at different time of the day and tabulated as follows:

Temperature $(^{o} C)$

Time
Urban Area
Rural Area

1730

1830

1930

2030

2130

2230

2330

26	25
25	24
24	23
23	22
23	22
22	21
21	21

Plot a double line graph and choose the same from the given options.

Discussion

3359.	If both a and b are rational numbers , then find the values of a and b in √2+√3/3√2-2√3=a-b√6
Answer» If both a and b are rational numbers , then find the values of a and b in √2+√3/3√2-2√3=a-b√6

Discussion

3360.	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, the value of a is _____.1
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, the value of a is _____. 1

Discussion

3361.	Question 121The human body is made up mostly of water. In fact about 67% of a person total body weight is water. If Jyoti weights 56 kg, how much of her weight is water?
Answer» Question 121 The human body is made up mostly of water. In fact about 67% of a person total body weight is water. If Jyoti weights 56 kg, how much of her weight is water?

3361.

Question 121The human body is made up mostly of water. In fact about 67% of a person total body weight is water. If Jyoti weights 56 kg, how much of her weight is water?

Answer»

Question 121

The human body is made up mostly of water. In fact about 67% of a person total body weight is water. If Jyoti weights 56 kg, how much of her weight is water?

Discussion

3362.	In the given figure, lines RS and PQ intersect at point O. If ∠POR : ∠ROQ = 11 : 13, ∠SOQ = _____ .
Answer» In the given figure, lines RS and PQ intersect at point O. If ∠POR : ∠ROQ = 11 : 13, ∠SOQ = _____ .

Discussion

3363.	In an isosceles angle ABC the basector of Angle B and C meet at a point O if the angle A = 40 degree then angle BOC = ?
Answer» In an isosceles angle ABC the basector of Angle B and C meet at a point O if the angle A = 40 degree then angle BOC = ?

Discussion

3364.	Using the exterior angle property, find the value of y from the figure.
Answer» Using the exterior angle property, find the value of $y$ from the figure.

Discussion

3365.

Record the following transaction in the Sales Book of Karunakaran & Sons, Chennai (Tamilnadu) assuming CGST 90% and SGST 9% and post them into Ledger :- 2017 Dec. 5 Sold of M/s Banwari Lal & Sons, Chennai, goods valued at ₹ 2,00,000 less Trade Discount 10%. 10 Sold to M/s Kanti Bhai & Sons, Bengaluru (Karnataka) : 75 Electric Fans ₹ 4,000 each 20 Room Coolers ₹ 10,000 each Less: Trade Discount 8% 16 Mahindra & Co., Kochi (Kerala) purchased from us goods of ₹ 1,20,000, less: 5%. 24 Sold goods for cash ₹ 60,000.

Answer» Record the following transaction in the Sales Book of Karunakaran & Sons, Chennai (Tamilnadu) assuming CGST 90% and SGST 9% and post them into Ledger :-

2017
Dec. 5	Sold of M/s Banwari Lal & Sons, Chennai, goods valued at ₹ 2,00,000 less Trade Discount 10%.
10	Sold to M/s Kanti Bhai & Sons, Bengaluru (Karnataka) :
	75 Electric Fans ₹ 4,000 each
	20 Room Coolers ₹ 10,000 each
	Less: Trade Discount 8%
16	Mahindra & Co., Kochi (Kerala) purchased from us goods of ₹ 1,20,000, less: 5%.
24	Sold goods for cash ₹ 60,000.

Discussion

3366.	The work hours of an employee of Think and Learn is given below: 9, 10, 8, 9, 12, 10 Find the mean hours worked by the employee. ___
Answer» The work hours of an employee of Think and Learn is given below: 9, 10, 8, 9, 12, 10 Find the mean hours worked by the employee. ___

3366.

The work hours of an employee of Think and Learn is given below: 9, 10, 8, 9, 12, 10 Find the mean hours worked by the employee. ___

Answer»

The work hours of an employee of Think and Learn is given below:

9, 10, 8, 9, 12, 10

Find the mean hours worked by the employee.

___

Discussion

3367.	Question 1In a ΔPQR, PR2−PQ2=QR2 and M is a point on side PR such that QM⊥PR. Prove that QM2=PM×MR .
Answer» Question 1 In a $Δ P Q R,$ $P R^{2} - P Q^{2} = Q R^{2}$ and M is a point on side PR such that $Q M ⊥ P R$ . Prove that $Q M^{2} = P M \times M R$ .

Discussion

3368.	Ramesh invests ₹ 12800 for three years at the rate of 10% per annum . Find the sum due to Ramesh at the end of the first year.
Answer» Ramesh invests ₹ 12800 for three years at the rate of $10 %$ per annum . Find the sum due to Ramesh at the end of the first year.

Discussion

3369.	The area of a rectangle having length 'l' and breadth 'b' is equal to 'A'.Then what will be the area of rectangle having length 2l and breadth 2b ?
Answer» The area of a rectangle having length 'l' and breadth 'b' is equal to 'A'.Then what will be the area of rectangle having length 2l and breadth 2b ?

Discussion

3370.	Can orthocentre be present outside the triangle? Answer in Yes/No.
Answer» Can orthocentre be present outside the triangle? Answer in Yes/No.

Discussion

3371.	Question 3(iv)Find the value of:(3−1+4−1+5−1)0
Answer» Question 3(iv) Find the value of: $(3^{- 1} + 4^{- 1} + 5^{- 1})^{0}$

3371.

Question 3(iv)Find the value of:(3−1+4−1+5−1)0

Answer»

Question 3(iv)

Find the value of:

$(3^{- 1} + 4^{- 1} + 5^{- 1})^{0}$

Discussion

3372.	The area of a parallelogram is 100 cm2. If the base is 25 cm, then the corresponding height is(a) 4 cm (b) 6 cm (c) 10 cm (d) 5 cm
Answer» The area of a parallelogram is 100 cm². If the base is 25 cm, then the corresponding height is (a) 4 cm (b) 6 cm (c) 10 cm (d) 5 cm

Discussion

3373.	Is 1211 a perfect square
Answer» Is 1211 a perfect square

Discussion

3374.	Question 144 In rectangle READ, find ∠EAR,∠RAD and ∠ROD.
Answer» Question 144 In rectangle READ, find $∠ E A R, ∠ R A D$ and $∠ R O D$ .

Discussion

3375.	Question 7 Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer.
Answer» Question 7 Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer.

Discussion

3376.	There are 4 red, 9 blue and 3 green balls. The fraction of red balls is out of the total balls.
Answer» There are 4 red, 9 blue and 3 green balls. The fraction of red balls is out of the total balls.

Discussion

3377.	3a + 5b = 26 ; a + 5b = 22
Answer» 3a + 5b = 26 ; a + 5b = 22

Discussion

3378.	Express asrupees using decimals:(i) 7paise (ii) 7 rupees 7 paise (iii) 77 rupees 77 paise(iv) 50paise (v) 235 paise
Answer» Express as rupees using decimals: (i) 7 paise (ii) 7 rupees 7 paise (iii) 77 rupees 77 paise (iv) 50 paise (v) 235 paise

3378.

Express asrupees using decimals:(i) 7paise (ii) 7 rupees 7 paise (iii) 77 rupees 77 paise(iv) 50paise (v) 235 paise

Answer»

Express as
rupees using decimals:

(i) 7
paise (ii) 7 rupees 7 paise (iii) 77 rupees 77 paise

(iv) 50
paise (v) 235 paise

Discussion

3379.	Question 59Solve the following:10x-5-7x=5x+15-8
Answer» Question 59 Solve the following: 10x-5-7x=5x+15-8

3379.

Question 59Solve the following:10x-5-7x=5x+15-8

Answer»

Question 59

Solve the following:

10x-5-7x=5x+15-8

Discussion

3380.	Question 1ABC is a triangle. Locate a point in the interior of Δ ABC which is equidistant from all the vertices of Δ ABC.
Answer» Question 1 ABC is a triangle. Locate a point in the interior of $Δ$ ABC which is equidistant from all the vertices of $Δ$ ABC.

Discussion

3381.	Find the digits xy such that the number 47xy is divisible by 30.
Answer» Find the digits $x y$ such that the number $47 x y$ is divisible by $30.$

Discussion

3382.	Evaluate : 68.2305 + 574.333 + 96.002000000
Answer» Evaluate : 68.2305 + 574.333 + 96.002000000

Discussion

3383.	the relative error in the measurement of a side of a cube is0.027.the relative error in the measurement of its volume
Answer» the relative error in the measurement of a side of a cube is0.027.the relative error in the measurement of its volume

Discussion

3384.	The value of 1735 × 1232 − 1735 × 232 is (a) 17350 (b) 173500 (c) 1735000 (d) 173505
Answer» The value of 1735 $×$ 1232 − 1735 $×$ 232 is (a) 17350 (b) 173500 (c) 1735000 (d) 173505

Discussion

3385.	The number zero is an integer. The sign of this number is
Answer» The number zero is an integer. The sign of this number is

Discussion

3386.	Two vertical glass plates 1mm apart are dipped into water .How high will the water rise in the plates.If surface tension of water is 70 dyne/cm^{-1} (1)1.43cm (2)1.63cm (3)2.86cm (4)3.86cm
Answer» Two vertical glass plates 1mm apart are dipped into water .How high will the water rise in the plates.If surface tension of water is 70 dyne/cm^{-1} (1)1.43cm (2)1.63cm (3)2.86cm (4)3.86cm

Discussion

3387.	Identify the terms of expression 4pq + p - q - r.
Answer» Identify the terms of expression 4pq + p - q - r.

Discussion

3388.	If 2x+5≤3, then
Answer» If $2 x + 5 \leq 3$ , then

Discussion

3389.	Represent 1024 in exponent form with base 2.
Answer» Represent 1024 in exponent form with base 2.

Discussion

3390.	How much does three - quarters of a metre measures in cm?75
Answer» How much does three - quarters of a metre measures in cm? 75

Discussion

3391.	Mark the correct alternative in the following question:The area of a rectangle is 650 cm2 and its breadth is 13 cm. The perimeter of the rectangle is(a) 63 cm (b) 130 cm (c) 100 cm (d) 126 cm
Answer» Mark the correct alternative in the following question: The area of a rectangle is 650 cm² and its breadth is 13 cm. The perimeter of the rectangle is (a) 63 cm (b) 130 cm (c) 100 cm (d) 126 cm

Discussion

3392.	In a triangle ABC, points X,Y,Z lie on sides BC,CA and AB respectively, such that AY/YC = CX/XB = BZ/ZA = 1/x .If ar(ABC) = 1 unit, then find ar(XYZ) as a function of x.
Answer» In a triangle ABC, points X,Y,Z lie on sides BC,CA and AB respectively, such that AY/YC = CX/XB = BZ/ZA = 1/x . If ar(ABC) = 1 unit, then find ar(XYZ) as a function of x.

Discussion

3393.	Find the value of x, if 8x−3=164−x.
Answer» Find the value of $x$ , if $8^{x - 3} = 16^{4 - x} .$

Discussion

3394.	Question 6 (ii)Give one example of a situation in which(ii) The mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.
Answer» Question 6 (ii) Give one example of a situation in which (ii) The mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.

Discussion

3395.	The total cost of a large box of cookies is $ 4 which is then sold for $ 10 a box, the profit percentage is %
Answer» The total cost of a large box of cookies is $$ 4$ which is then sold for $$ 10$ a box, the profit percentage is %

Discussion

3396.	Question 38 Fill in the blank to make statement true. A triangular prism has ___ faces, ___ edges and ___ vertices.
Answer» Question 38 Fill in the blank to make statement true. A triangular prism has ___ faces, ___ edges and ___ vertices.

Discussion

3397.	In the figure, k \|\| i and l is the transversal. If ∠1=(2x+30)° and ∠7=150°, then find the value of x. 60
Answer» In the figure, k \|\| i and l is the transversal. If $∠ 1 = (2 x + 30) °$ and $∠ 7 = 150 °$ , then find the value of x. 60

Discussion

3398.	There are 3 semicircles in the given figure. AB = 14 cm and C is the midpoint of AB. Find the perimeter and area of the figure. [3 MARKS]
Answer» There are 3 semicircles in the given figure. AB = 14 cm and C is the midpoint of AB. Find the perimeter and area of the figure. [3 MARKS]

3398.

There are 3 semicircles in the given figure. AB = 14 cm and C is the midpoint of AB. Find the perimeter and area of the figure. [3 MARKS]

Answer»

There are 3 semicircles in the given figure. AB = 14 cm and C is the midpoint of AB. Find the perimeter and area of the figure. [3 MARKS]

Discussion

3399.	Remove the ? mark from the foll options:- If Z=2197 R=729 J=?? ⇒216 ⇒124 ⇒512 ⇒125
Answer» Remove the ? mark from the foll options:- If Z=2197 R=729 J=?? ⇒216 ⇒124 ⇒512 ⇒125

Discussion

3400.	OABC is a tetrahedron in which O is the origin and position vector of points A,B,C are ^i+2^j+3^k,2^i+α^j+^k and ^i+3^j+2^k respectively. Then the integral value of α for which shortest distance between OA and BC is √32, is
Answer» $O A B C$ is a tetrahedron in which $O$ is the origin and position vector of points $A, B, C$ are $^i + 2^j + 3^k, 2^i + α^j +^k$ and $^i + 3^j + 2^k$ respectively. Then the integral value of $α$ for which shortest distance between $O A$ and $B C$ is $\sqrt{\frac{3}{2}},$ is

Discussion

Explore topic-wise InterviewSolutions in .

Which of the folowing option is correct for the below diangram?

Read the bar graph given below and answer the following questions: Scale : 1 unit = 50 students(d) In which year did the number of students decrease as compared to previous year?(e) In which year is the increase in number of students maximum as compared to the previous year?

9. Prove that the product of two consecutive positive integers is divisible by 2

In the given figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the values of ∠EDP and ∠EDB are n and m respectively. Then, the values of n and m are ______ and _______, respectively.

12018 >

If 3/5 of a number exceeds its 2/7 by 44, find the number.

If the length of one of the diagonals of a rhombus of side 20 cm is 24 cm, then the length of the other diagonal is :

If both a and b are rational numbers , then find the values of a and b in √2+√3/3√2-2√3=a-b√6

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, the value of a is _____.1

Question 121The human body is made up mostly of water. In fact about 67% of a person total body weight is water. If Jyoti weights 56 kg, how much of her weight is water?

In the given figure, lines RS and PQ intersect at point O. If ∠POR : ∠ROQ = 11 : 13, ∠SOQ = _____ .

In an isosceles angle ABC the basector of Angle B and C meet at a point O if the angle A = 40 degree then angle BOC = ?

Using the exterior angle property, find the value of y from the figure.

The work hours of an employee of Think and Learn is given below: 9, 10, 8, 9, 12, 10 Find the mean hours worked by the employee. ___

Question 1In a ΔPQR, PR2−PQ2=QR2 and M is a point on side PR such that QM⊥PR. Prove that QM2=PM×MR .

Ramesh invests ₹ 12800 for three years at the rate of 10% per annum . Find the sum due to Ramesh at the end of the first year.

The area of a rectangle having length 'l' and breadth 'b' is equal to 'A'.Then what will be the area of rectangle having length 2l and breadth 2b ?

Can orthocentre be present outside the triangle? Answer in Yes/No.

Question 3(iv)Find the value of:(3−1+4−1+5−1)0

The area of a parallelogram is 100 cm2. If the base is 25 cm, then the corresponding height is(a) 4 cm (b) 6 cm (c) 10 cm (d) 5 cm

Is 1211 a perfect square

Question 144 In rectangle READ, find ∠EAR,∠RAD and ∠ROD.

Question 7 Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer.

There are 4 red, 9 blue and 3 green balls. The fraction of red balls is out of the total balls.

3a + 5b = 26 ; a + 5b = 22

Express asrupees using decimals:(i) 7paise (ii) 7 rupees 7 paise (iii) 77 rupees 77 paise(iv) 50paise (v) 235 paise

Question 59Solve the following:10x-5-7x=5x+15-8

Question 1ABC is a triangle. Locate a point in the interior of Δ ABC which is equidistant from all the vertices of Δ ABC.

Find the digits xy such that the number 47xy is divisible by 30.

Evaluate : 68.2305 + 574.333 + 96.002000000

the relative error in the measurement of a side of a cube is0.027.the relative error in the measurement of its volume

The value of 1735 × 1232 − 1735 × 232 is (a) 17350 (b) 173500 (c) 1735000 (d) 173505

The number zero is an integer. The sign of this number is

Two vertical glass plates 1mm apart are dipped into water .How high will the water rise in the plates.If surface tension of water is 70 dyne/cm^{-1} (1)1.43cm (2)1.63cm (3)2.86cm (4)3.86cm

Identify the terms of expression 4pq + p - q - r.

If 2x+5≤3, then

Represent 1024 in exponent form with base 2.

How much does three - quarters of a metre measures in cm?75

Mark the correct alternative in the following question:The area of a rectangle is 650 cm2 and its breadth is 13 cm. The perimeter of the rectangle is(a) 63 cm (b) 130 cm (c) 100 cm (d) 126 cm

In a triangle ABC, points X,Y,Z lie on sides BC,CA and AB respectively, such that AY/YC = CX/XB = BZ/ZA = 1/x .If ar(ABC) = 1 unit, then find ar(XYZ) as a function of x.

Find the value of x, if 8x−3=164−x.

Question 6 (ii)Give one example of a situation in which(ii) The mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.

The total cost of a large box of cookies is $ 4 which is then sold for $ 10 a box, the profit percentage is %

Question 38 Fill in the blank to make statement true. A triangular prism has ___ faces, ___ edges and ___ vertices.

In the figure, k || i and l is the transversal. If ∠1=(2x+30)° and ∠7=150°, then find the value of x. 60

There are 3 semicircles in the given figure. AB = 14 cm and C is the midpoint of AB. Find the perimeter and area of the figure. [3 MARKS]

Remove the ? mark from the foll options:- If Z=2197 R=729 J=?? ⇒216 ⇒124 ⇒512 ⇒125

OABC is a tetrahedron in which O is the origin and position vector of points A,B,C are ^i+2^j+3^k,2^i+α^j+^k and ^i+3^j+2^k respectively. Then the integral value of α for which shortest distance between OA and BC is √32, is

In the given figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the values of ∠EDP and ∠EDB are n and m respectively. Then, the values of n and m are and _, respectively.

Question 38 Fill in the blank to make statement true. A triangular prism has _ faces, _ edges and ___ vertices.