19743 + Interview Questions in Mathematics Page 31 InterviewSolution

1501.	If the sides of a rectangle are 6xz+4y−2xy−3x+6 units and xy−2x+4xz−9 units, then its perimeter is ___.
Answer» If the sides of a rectangle are $6 x z + 4 y - 2 x y - 3 x + 6$ units and $x y - 2 x + 4 x z - 9$ units, then its perimeter is ___.

Discussion

1502.	वास्तविक अर्थों 'संस्कृत व्यक्ति' किसे कहा जा सकता है?
Answer» वास्तविक अर्थों 'संस्कृत व्यक्ति' किसे कहा जा सकता है?

Discussion

1503.	In an isosceles triangle ABC, if the measure of angle ACB is equal to that of angle CAB, then ______.
Answer» In an isosceles triangle ABC, if the measure of angle ACB is equal to that of angle CAB, then ______.

Discussion

1504.	Show that 2,12,72 are in continued proportion
Answer» Show that 2,12,72 are in continued proportion

Discussion

1505.	Arrange the following in ascending order of their values from top to bottom.
Answer» Arrange the following in ascending order of their values from top to bottom.

Discussion

1506.	What is the final weight obtained on adding 3 weights of 2 kg, 13 kg 750g and 24 kg 500 g
Answer» What is the final weight obtained on adding 3 weights of 2 kg, 13 kg 750g and 24 kg 500 g

Discussion

1507.	Ram and Sam share the cake equally. If Ram shares his portion among Ria, Sia, Tia and himself, the fraction of the cake that Ria gets is _____.
Answer» Ram and Sam share the cake equally. If Ram shares his portion among Ria, Sia, Tia and himself, the fraction of the cake that Ria gets is _____.

Discussion

1508.	If a→,b→,c→ represent the sides of a triangle taken in order, then a→+b→+c→ = _______________.
Answer» If $\vec{a}, \vec{b}, \vec{c}$ represent the sides of a triangle taken in order, then $\vec{a} + \vec{b} + \vec{c}$ = _______________.

Discussion

1509.	The perimeter of square is______× side of the square
Answer» The perimeter of square is______ $\times$ side of the square

Discussion

1510.	Which of the following is the correct representation of the expression 3z2−2z3 ?
Answer» Which of the following is the correct representation of the expression $\frac{3 z}{2} - \frac{2 z}{3}$ ?

Discussion

1511.	Mark the correct alternative in each of the following:0.012 × 0.15 = (a) 0.8 (b) 0.08 (c) 0.008 (d) 0.0018
Answer» Mark the correct alternative in each of the following: 0.012 × 0.15 = (a) 0.8 (b) 0.08 (c) 0.008 (d) 0.0018

Discussion

1512.	Question 75Solve the following:m−m−12=1−m−23
Answer» Question 75 Solve the following: $m - \frac{m - 1}{2} = 1 - \frac{m - 2}{3}$

1512.

Question 75Solve the following:m−m−12=1−m−23

Answer»

Question 75

Solve the following:

$m - \frac{m - 1}{2} = 1 - \frac{m - 2}{3}$

Discussion

1513.	Liam was mowing his playground of 400ft2 area. He mowed 100ft2 on the first day. Choose the rational number that can represent the part of the mowed playground.
Answer» Liam was mowing his playground of $400 f t^{2}$ area. He mowed $100 f t^{2}$ on the first day. Choose the rational number that can represent the part of the mowed playground.

Discussion

1514.	in triangle abc, M is the circumcentre,AC=BC& angle AMB=130°,then the measure of angle CAB
Answer» in triangle abc, M is the circumcentre,AC=BC& angle AMB=130°,then the measure of angle CAB

Discussion

1515.	How long will it take for an amount of ₹450 to yield ₹81 as interest at 4.5% per annum of simple interest?
Answer» How long will it take for an amount of ₹450 to yield ₹81 as interest at $4.5 %$ per annum of simple interest?

Discussion

1516.	Question 9 (i)A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in Fig. 12.12. Find:(i) The total length of the silver wire required.
Answer» Question 9 (i) A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in Fig. 12.12. Find: (i) The total length of the silver wire required.

Discussion

1517.	Which of the following are factors of x3−2x2−x+2?
Answer» Which of the following are factors of $x^{3} - 2 x^{2} - x + 2 ?$

Discussion

1518.	How many line(s) of symmetry a guitar have.
Answer» How many line(s) of symmetry a guitar have.

Discussion

1519.	Consider the following frequency table which depicts the number of participants in different contests,Which of the following table will be the correct representation of this frequency table using tally marks?
Answer» Consider the following frequency table which depicts the number of participants in different contests, Which of the following table will be the correct representation of this frequency table using tally marks?

Discussion

1520.	If 2.54 cm make an inch, how many inches will 60.96 cm make?
Answer» If 2.54 cm make an inch, how many inches will 60.96 cm make?

Discussion

1521.	Match the decimals to their appropriate simplest fractions.
Answer» Match the decimals to their appropriate simplest fractions.

Discussion

1522.	What should be added to x2 + xy + Y 2to obtain 2x2+ 3 xy
Answer» What should be added to x² + xy + Y ²to obtain 2x²+ 3 xy

Discussion

1523.	(4√3+3)−(√3+2)=
Answer» $(4 \sqrt{3} + 3) - (\sqrt{3} + 2) =$

Discussion

1524.	5/3-7/6-(-2/3)
Answer» 5/3-7/6-(-2/3)

Discussion

1525.	Set up equation and solve it to find the unknown number in the following case:Anwar thinks of a number. If he takes away 7 from 52 of the number, the result is 112
Answer» Set up equation and solve it to find the unknown number in the following case: Anwar thinks of a number. If he takes away 7 from $\frac{5}{2}$ of the number, the result is $\frac{11}{2}$

Discussion

1526.	The multiplicative inverse of am is ___ .
Answer» The multiplicative inverse of $a^{m}$ is ___ .

Discussion

1527.	In a class of 40 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then the number of students who enrolled for English but not German is
Answer» In a class of $40$ students, $12$ enrolled for both English and German. $22$ enrolled for German. If the students of the class enrolled for at least one of the two subjects, then the number of students who enrolled for English but not German is

Discussion

1528.	Find the square root of 6400 using prime factorization method. [2 MARKS]
Answer» Find the square root of 6400 using prime factorization method. [2 MARKS]

Discussion

1529.	why does rainbow occur in specific shape i.e. round or curved
Answer» why does rainbow occur in specific shape i.e. round or curved

Discussion

1530.	Construct a triangle XYZ, given XY = 4.2 cm. YZ = 5.3 cm and ∠Y = 55°.
Answer» Construct a triangle XYZ, given XY = 4.2 cm. YZ = 5.3 cm and ∠Y = 55°.

Discussion

1531.	Sam sold his dining table set at a loss of 20%. If he had sold it for 800 rupees more, he would have received a profit of 5%. The cost price of the dining table is?
Answer» Sam sold his dining table set at a loss of 20%. If he had sold it for 800 rupees more, he would have received a profit of 5%. The cost price of the dining table is?

Discussion

1532.	कविता में व्यक्त दुख के कारणों को स्पष्ट कीजिए।
Answer» कविता में व्यक्त दुख के कारणों को स्पष्ट कीजिए।

Discussion

1533.	On 1st January, 2018, A sold goods to B for ₹ 5,000 plus IGST 18%. A received ₹ 900 by cheque from B and drew on him a bill for the balance amount payable 3 months after date. The bill was duly accepted by B. A retained the bill till due date. On due date, the bill was paid. Pass Journal entries in the books of A and B. Also, show necessary accounts in the books of both the parties.
Answer» On 1st January, 2018, A sold goods to B for ₹ 5,000 plus IGST 18%. A received ₹ 900 by cheque from B and drew on him a bill for the balance amount payable 3 months after date. The bill was duly accepted by B. A retained the bill till due date. On due date, the bill was paid. Pass Journal entries in the books of A and B. Also, show necessary accounts in the books of both the parties.

Discussion

1534.	If there are four line segments of length 3cm, 7cm, 14cm and 21cm. Then how many triangles can be drawn from these line segments? __
Answer» If there are four line segments of length $3cm, 7cm, 14cm and 21cm$ . Then how many triangles can be drawn from these line segments? __

Discussion

1535.	Find the rate of interest.Principal = Rs. 5,000; time years; simple interest = Rs. 2,025
Answer» Find the rate of interest. Principal = Rs. 5,000; time years; simple interest = Rs. 2,025

1535.

Find the rate of interest.Principal = Rs. 5,000; time years; simple interest = Rs. 2,025

Answer»

Find the rate of interest.

Principal = Rs. 5,000; time years; simple interest = Rs. 2,025

Discussion

1536.	Two rectangular plots of length 40 m and width 20 m are as shown below.What is the cost of fencing the plots (excluding the common boundary) at ₹ 4 per metre?
Answer» Two rectangular plots of length 40 m and width 20 m are as shown below. What is the cost of fencing the plots (excluding the common boundary) at ₹ 4 per metre?

Discussion

1537.	Fill in the blanks: (i) If two angles are complementary, then the sum of their measures is _______. (ii) If two angles are supplementary, then the sum of their measures is _______. (iii) Two angles forming a linear pair are _______. (iv) If two adjacent angles are supplementary, they form a _______. (v) If two lines intersect at a point, then the vertically opposite angles are always _______. (vi) If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _______.
Answer» Fill in the blanks: (i) If two angles are complementary, then the sum of their measures is _______. (ii) If two angles are supplementary, then the sum of their measures is _______. (iii) Two angles forming a linear pair are _______. (iv) If two adjacent angles are supplementary, they form a _______. (v) If two lines intersect at a point, then the vertically opposite angles are always _______. (vi) If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _______.

1537.

Fill in the blanks: (i) If two angles are complementary, then the sum of their measures is ___. (ii) If two angles are supplementary, then the sum of their measures is _. (iii) Two angles forming a linear pair are _. (iv) If two adjacent angles are supplementary, they form a _. (v) If two lines intersect at a point, then the vertically opposite angles are always _. (vi) If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are ___.

Answer»

Fill in
the blanks:

(i) If two
angles are complementary, then the sum of their measures is _______.

(ii) If
two angles are supplementary, then the sum of their measures is
_______.

(iii) Two
angles forming a linear pair are _______.

(iv) If
two adjacent angles are supplementary, they form a _______.

(v) If two lines intersect at a point, then the vertically opposite
angles are always _______.

(vi) If two lines intersect at a point, and if one pair of vertically
opposite angles are acute angles, then the other pair of vertically
opposite angles are _______.

Discussion

1538.	Find the number y that is 3 less than the product of 8 and 3 Find the number x that is 5 times the difference between 16 and 4
Answer» Find the number y that is 3 less than the product of 8 and 3 Find the number x that is 5 times the difference between 16 and 4

1538.

Find the number y that is 3 less than the product of 8 and 3 Find the number x that is 5 times the difference between 16 and 4

Answer»

Find the number y that is 3 less than the product of 8 and 3

Find the number x that is 5 times the difference between 16 and 4

Discussion

1539.	Anita thinks of a number and subtracts 32 from it. She multiplies the result by 8. The result now obtained is 5 times the original number. What is the original number?
Answer» Anita thinks of a number and subtracts $\frac{3}{2}$ from it. She multiplies the result by 8. The result now obtained is 5 times the original number. What is the original number?

Discussion

1540.	Solve thefollowing equations:(a) 10p= 100 (b) 10p + 10 = 100 (c) (d) (e) (f) 3s= − 9(g) 3s+ 12 = 0 (h) 3s = 0 (i) 2q = 6(j) 2q− 6 = 0 (k) 2q + 6 = 0 (l) 2q + 6 = 12
Answer» Solve the following equations: (a) 10p = 100 (b) 10p + 10 = 100 (c) (d) (e) (f) 3s = − 9 (g) 3s + 12 = 0 (h) 3s = 0 (i) 2q = 6 (j) 2q − 6 = 0 (k) 2q + 6 = 0 (l) 2q + 6 = 12

1540.

Solve thefollowing equations:(a) 10p= 100 (b) 10p + 10 = 100 (c) (d) (e) (f) 3s= − 9(g) 3s+ 12 = 0 (h) 3s = 0 (i) 2q = 6(j) 2q− 6 = 0 (k) 2q + 6 = 0 (l) 2q + 6 = 12

Answer»

Solve the
following equations:

(a) 10p
= 100 (b) 10p + 10 = 100 (c)

(d) (e) (f) 3s
= − 9

(g) 3s
+ 12 = 0 (h) 3s = 0 (i) 2q = 6

(j) 2q
− 6 = 0 (k) 2q + 6 = 0 (l) 2q + 6 = 12

Discussion

1541.	the sum of a two digit number is 12. the numbers obtained by interchanging the two digit exceeds the given number by 18. find the Number
Answer» the sum of a two digit number is 12. the numbers obtained by interchanging the two digit exceeds the given number by 18. find the Number

Discussion

1542.	Two dice are placed side by side as shown in the figure. What would be the sum of the numbers which are on the opposite faces of 5 and 6 respectively? ___
Answer» Two dice are placed side by side as shown in the figure. What would be the sum of the numbers which are on the opposite faces of 5 and 6 respectively? ___

1542.

Two dice are placed side by side as shown in the figure. What would be the sum of the numbers which are on the opposite faces of 5 and 6 respectively? ___

Answer»

Two dice are placed side by side as shown in the figure. What would be the sum of the numbers which are on the opposite faces of 5 and 6 respectively?

___

Discussion

1543.	. The difference between the compound interest and the simple interest for 2 years at 8% per annum on acertain sum of money is 120. Find the sum?
Answer» . The difference between the compound interest and the simple interest for 2 years at 8% per annum on a certain sum of money is 120. Find the sum?

Discussion

1544.	Find128.9 ÷ 1000
Answer» Find 128.9 $\div$ 1000

Discussion

1545.	Q38. In three vessels each of 10 ı capacity, mixture of milk and water is filled. The ratio of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the three respective vessels. If all the three vessels are emptied into a single large vessel, find the proportion of milk and water in the mixture.
Answer» Q38. In three vessels each of 10 $ı$ capacity, mixture of milk and water is filled. The ratio of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the three respective vessels. If all the three vessels are emptied into a single large vessel, find the proportion of milk and water in the mixture.

Discussion

1546.	Question 1 (ii)Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on consecutive days?
Answer» Question 1 (ii) Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on consecutive days?

Discussion

1547.	Decreae 260 by 1.5%
Answer» Decreae 260 by 1.5%

1547.

Decreae 260 by 1.5%

Answer»

Decreae

260 by 1.5%

Discussion

1548.	The quotient of 40 and 5 is subtracted from the difference between 40 and 5,give to x . What is x?
Answer» The quotient of 40 and 5 is subtracted from the difference between 40 and 5,give to x . What is x?

Discussion

1549.	A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Answer» A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

Discussion

1550.	If a racing car covers 500 km in 4 hours then find its speed.
Answer» If a racing car covers 500 km in 4 hours then find its speed.

Discussion

Explore topic-wise InterviewSolutions in .

If the sides of a rectangle are 6xz+4y−2xy−3x+6 units and xy−2x+4xz−9 units, then its perimeter is ___.

वास्तविक अर्थों 'संस्कृत व्यक्ति' किसे कहा जा सकता है?

In an isosceles triangle ABC, if the measure of angle ACB is equal to that of angle CAB, then ______.

Show that 2,12,72 are in continued proportion

Arrange the following in ascending order of their values from top to bottom.

What is the final weight obtained on adding 3 weights of 2 kg, 13 kg 750g and 24 kg 500 g

Ram and Sam share the cake equally. If Ram shares his portion among Ria, Sia, Tia and himself, the fraction of the cake that Ria gets is _____.

If a→,b→,c→ represent the sides of a triangle taken in order, then a→+b→+c→ = _______________.

The perimeter of square is______× side of the square

Which of the following is the correct representation of the expression 3z2−2z3 ?

Mark the correct alternative in each of the following:0.012 × 0.15 = (a) 0.8 (b) 0.08 (c) 0.008 (d) 0.0018

Question 75Solve the following:m−m−12=1−m−23

Liam was mowing his playground of 400ft2 area. He mowed 100ft2 on the first day. Choose the rational number that can represent the part of the mowed playground.

in triangle abc, M is the circumcentre,AC=BC& angle AMB=130°,then the measure of angle CAB

How long will it take for an amount of ₹450 to yield ₹81 as interest at 4.5% per annum of simple interest?

Question 9 (i)A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in Fig. 12.12. Find:(i) The total length of the silver wire required.

Which of the following are factors of x3−2x2−x+2?

How many line(s) of symmetry a guitar have.

Consider the following frequency table which depicts the number of participants in different contests,Which of the following table will be the correct representation of this frequency table using tally marks?

If 2.54 cm make an inch, how many inches will 60.96 cm make?

Match the decimals to their appropriate simplest fractions.

What should be added to x​​​​2 + xy + Y 2to obtain 2x2+ 3 xy

(4√3+3)−(√3+2)=

5/3-7/6-(-2/3)

Set up equation and solve it to find the unknown number in the following case:Anwar thinks of a number. If he takes away 7 from 52 of the number, the result is 112

The multiplicative inverse of am is ___ .

In a class of 40 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then the number of students who enrolled for English but not German is

Find the square root of 6400 using prime factorization method. [2 MARKS]

why does rainbow occur in specific shape i.e. round or curved

Construct a triangle XYZ, given XY = 4.2 cm. YZ = 5.3 cm and ∠Y = 55°.

Sam sold his dining table set at a loss of 20%. If he had sold it for 800 rupees more, he would have received a profit of 5%. The cost price of the dining table is?

कविता में व्यक्त दुख के कारणों को स्पष्ट कीजिए।

If there are four line segments of length 3cm, 7cm, 14cm and 21cm. Then how many triangles can be drawn from these line segments? __

Find the rate of interest.Principal = Rs. 5,000; time years; simple interest = Rs. 2,025

Two rectangular plots of length 40 m and width 20 m are as shown below.What is the cost of fencing the plots (excluding the common boundary) at ₹ 4 per metre?

Find the number y that is 3 less than the product of 8 and 3 Find the number x that is 5 times the difference between 16 and 4

Anita thinks of a number and subtracts 32 from it. She multiplies the result by 8. The result now obtained is 5 times the original number. What is the original number?

Solve thefollowing equations:(a) 10p= 100 (b) 10p + 10 = 100 (c) (d) (e) (f) 3s= − 9(g) 3s+ 12 = 0 (h) 3s = 0 (i) 2q = 6(j) 2q− 6 = 0 (k) 2q + 6 = 0 (l) 2q + 6 = 12

the sum of a two digit number is 12. the numbers obtained by interchanging the two digit exceeds the given number by 18. find the Number

Two dice are placed side by side as shown in the figure. What would be the sum of the numbers which are on the opposite faces of 5 and 6 respectively? ___

. The difference between the compound interest and the simple interest for 2 years at 8% per annum on acertain sum of money is 120. Find the sum?

Find128.9 ÷ 1000

Q38. In three vessels each of 10 ı capacity, mixture of milk and water is filled. The ratio of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the three respective vessels. If all the three vessels are emptied into a single large vessel, find the proportion of milk and water in the mixture.

Question 1 (ii)Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on consecutive days?

Decreae 260 by 1.5%

The quotient of 40 and 5 is subtracted from the difference between 40 and 5,give to x . What is x?

A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

If a racing car covers 500 km in 4 hours then find its speed.

What should be added to x2 + xy + Y 2to obtain 2x2+ 3 xy