19743 + Interview Questions in Mathematics Page 55 InterviewSolution

2701.	In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = x, find ∠ROT.
Answer» In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $∠$ POS and $∠$ SOQ, respectively. If $∠$ POS = $x$ , find $∠$ ROT.

2701.

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = x, find ∠ROT.

Answer»

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $∠$ POS and $∠$ SOQ, respectively. If $∠$ POS = $x$ , find $∠$ ROT.

Discussion

2702.	In an equilateral triangle, lengths of the sides are __.
Answer» In an equilateral triangle, lengths of the sides are __.

Discussion

2703.	Which is greater:(a) 0.07 or 0.02(b) 0.5 or 0.05(c) 3.3 or 3.300
Answer» Which is greater: (a) 0.07 or 0.02 (b) 0.5 or 0.05 (c) 3.3 or 3.300

Discussion

2704.	If A¯¯¯¯B+¯¯¯¯AB=C, then the value of A¯¯¯¯C+¯¯¯¯AC =
Answer» $If A ¯ ¯¯ ¯ B + ¯ ¯¯ ¯ A B = C, then the value of A ¯ ¯¯ ¯ C + ¯ ¯¯ ¯ A C$ =

Discussion

2705.	Rotating the given regular hexagon by an angle of 60∘ yields the same figure as the original. At what other angles will this happen for the figure?
Answer» Rotating the given regular hexagon by an angle of $60^{\circ}$ yields the same figure as the original. At what other angles will this happen for the figure?

Discussion

2706.	The numerical factor of a term is known as
Answer» The numerical factor of a term is known as

Discussion

2707.	Question 8Half of a herd of deer are grazing in the field and three-fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.
Answer» Question 8 Half of a herd of deer are grazing in the field and three-fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.

Discussion

2708.	Solve the following problems.What sum will amount to Rs. 392 at the rate of 4% p.a in 3 years?
Answer» Solve the following problems. What sum will amount to Rs. 392 at the rate of 4% p.a in 3 years?

2708.

Solve the following problems.What sum will amount to Rs. 392 at the rate of 4% p.a in 3 years?

Answer»

Solve the following problems.

What sum will amount to Rs. 392 at the rate of 4% p.a in 3 years?

Discussion

2709.	Find the least number which must be added to 306452 to make it a perfect square.
Answer» Find the least number which must be added to 306452 to make it a perfect square.

Discussion

2710.	For the following quadrilateral, which option is correct?
Answer» For the following quadrilateral, which option is correct?

2710.

For the following quadrilateral, which option is correct?

Answer»

For the following quadrilateral, which option is correct?

Discussion

2711.	Mention the value of the variable in each of the following:(1) (2) (3) (4) (5)
Answer» Mention the value of the variable in each of the following: (1) (2) (3) (4) (5)

2711.

Mention the value of the variable in each of the following:(1) (2) (3) (4) (5)

Answer»

Mention the value of the variable in each of the following:

(1)

(2)

(3)

(4)

(5)

Discussion

2712.	Observe the given bar graph carefully and answer the questions that follow.What information does the bar graph depict?
Answer» Observe the given bar graph carefully and answer the questions that follow. What information does the bar graph depict?

Discussion

2713.	Which of the following forms a Pythagorean triplet?
Answer» Which of the following forms a Pythagorean triplet?

Discussion

2714.	31. prove that in a triangle, angle opposite to the longest side is greater than 2/3 of right angle
Answer» 31. prove that in a triangle, angle opposite to the longest side is greater than 2/3 of right angle

Discussion

2715.

Prepare Sales book and Purchases book of M/s Deendayal from the following transactions:− 2016 June 7 Purchased from Arora & Co., Nai Sarak 10 Chairs ₹ 200 each 1 Table for ₹ 600 Trade discount 10% June 10 Sold to Sudha Furniture Co., Agra 2 Almirahs ₹ 2,000 each Less : 15% June 12 Sold to Meera Mart for cash 10 Tables ₹ 1,000 each June 15 Purchased from Hira Lal & Sons for cash 15 Chairs ₹ 350 each June 16 Purchased from Fateh Chand & Co., Delhi 5 Chairs ₹ 180 each June 25 Sold to Ravi Sharma, Delhi 2 Dining Tables ₹ 6,000 each Less : 10%

Answer» Prepare Sales book and Purchases book of M/s Deendayal from the following transactions:−

2016
June 7	Purchased from Arora & Co., Nai Sarak
	10 Chairs ₹ 200 each
	1 Table for ₹ 600
	Trade discount 10%
June 10	Sold to Sudha Furniture Co., Agra
	2 Almirahs ₹ 2,000 each
	Less : 15%
June 12	Sold to Meera Mart for cash
	10 Tables ₹ 1,000 each
June 15	Purchased from Hira Lal & Sons for cash
	15 Chairs ₹ 350 each
June 16	Purchased from Fateh Chand & Co., Delhi
	5 Chairs ₹ 180 each
June 25	Sold to Ravi Sharma, Delhi
	2 Dining Tables ₹ 6,000 each
	Less : 10%

Discussion

2716.	17. Draw a line segment AB and by ruler and compasses, obtain a line segment of length (3/4)AB
Answer» 17. Draw a line segment AB and by ruler and compasses, obtain a line segment of length (3/4)AB

Discussion

2717.	Question 5(v)Obtain the product of:m,-mn,mnp
Answer» Question 5(v) Obtain the product of: m,-mn,mnp

Discussion

2718.	Chen and Hermione took a loan of $4000 each at 15% per annum for 312 years and 5 years respectively. Then, the difference in the interest paid by them is (in dollars)900
Answer» Chen and Hermione took a loan of $$ 4000$ each at 15% per annum for $3 \frac{1}{2}$ years and 5 years respectively. Then, the difference in the interest paid by them is (in dollars) 900

Discussion

2719.	प्राचीन काल में मनोरंजन और शक्ति प्रदर्शन के लिए किस प्रकार के आयोजन किए जाते थे?
Answer» प्राचीन काल में मनोरंजन और शक्ति प्रदर्शन के लिए किस प्रकार के आयोजन किए जाते थे?

Discussion

2720.

Following are the steps for plotting a line graph. (a) Plot the data points.(b) Connect the data points with straight lines.(c) Use a kink if actual data is far away from the starting value zero.(d) Determine the independent and dependent variables.(e) Choose the horizontal and vertical axis scale depending upon the minimum and maximum value of the independent and dependent variables, respectively.(f) Set the independent variable on the horizontal axis and the dependent variable on the vertical axis with appropriate units.Arrange the steps in correct order.

Answer»

Following are the steps for plotting a line graph.

(a)	Plot the data points.
(b)	Connect the data points with straight lines.
(c)	Use a kink if actual data is far away from the starting value zero.
(d)	Determine the independent and dependent variables.
(e)	Choose the horizontal and vertical axis scale depending upon the minimum and maximum value of the independent and dependent variables, respectively.
(f)	Set the independent variable on the horizontal axis and the dependent variable on the vertical axis with appropriate units.

Arrange the steps in correct order.

Discussion

2721.	How to prove that \sqrt4 is rational?
Answer» How to prove that \sqrt4 is rational?

Discussion

2722.	Construct the following angles and verify by measuring them by a protractor:(i) 75∘
Answer» Construct the following angles and verify by measuring them by a protractor: (i) $75^{\circ}$

Discussion

2723.	Which is the greatest 312,215,56. What is the general approach to solve.
Answer» Which is the greatest $3^{12}, 2^{15}, 5^{6}$ . What is the general approach to solve.

Discussion

2724.	Find the number of lines of symmetry for the given shape:
Answer» Find the number of lines of symmetry for the given shape:

2724.

Find the number of lines of symmetry for the given shape:

Answer»

Find the number of lines of symmetry for the given shape:

Discussion

2725.	The value of 722−712 is equal to
Answer» The value of $72^{2} - 71^{2}$ is equal to

Discussion

2726.	Because of his habit of always peeking into the books of higher grades, Ted was able to recollect that Euclid gave some axioms. How many axioms did Euclid give?
Answer» Because of his habit of always peeking into the books of higher grades, Ted was able to recollect that Euclid gave some axioms. How many axioms did Euclid give?

Discussion

2727.	The number of two digit even multiples of 7 are
Answer» The number of two digit even multiples of $7$ are

Discussion

2728.	Ranjeet travels 452 km to his hometown. If he takes a bus for 225 km and a train for the remaining journey, what distance (in decimals) did he travel by train?
Answer» Ranjeet travels $\frac{45}{2}$ km to his hometown. If he takes a bus for $\frac{22}{5}$ km and a train for the remaining journey, what distance (in decimals) did he travel by train?

Discussion

2729.	The bisectors of a pair of vertically opposite angels are in the __________.
Answer» The bisectors of a pair of vertically opposite angels are in the __________.

Discussion

2730.	Figure shows the sale of mobiles of different brands.Select the mobile brand whose sale is 0.25 of the Nokia.
Answer» Figure shows the sale of mobiles of different brands. Select the mobile brand whose sale is 0.25 of the Nokia.

Discussion

2731.	What algebraic expression must be added to 9y to get 25x?
Answer» What algebraic expression must be added to $9 y$ to get $25 x ?$

Discussion

2732.	The sum of two integers is -25 if one of them is 30 find the other.
Answer» The sum of two integers is -25 if one of them is 30 find the other.

Discussion

2733.	Subtract 4p2q−3pq+5pq2−8p+7q−10 from 18−3p−11q+5pq−2pq2+5p2q.
Answer» Subtract $4 p^{2} q - 3 p q + 5 p q^{2} - 8 p + 7 q - 10$ from $18 - 3 p - 11 q + 5 p q - 2 p q^{2} + 5 p^{2} q$ .

Discussion

2734.	Determine the faces, vertices and edges of the following shape.
Answer» Determine the faces, vertices and edges of the following shape.

Discussion

2735.	Question 3 (vi) Find 156.1 × 100
Answer» Question 3 (vi) Find 156.1 $\times$ 100

Discussion

2736.	Solve the following simultaneous equations.(1) 2x+23y=16 ; 3x+2y=0(2) 72x+1+13y+2=27 ; 132x+1+7y+2=33(3) 148x+231y=527xy ; 231x+148y=610xy(4) 7x-2yxy=5 ; 8x+7yxy=15(5) 123x+4y+152x-3y=14 ; 53x+4y-22x-3y=-32
Answer» Solve the following simultaneous equations. (1) $\frac{2}{x} + \frac{2}{3 y} = \frac{1}{6}; \frac{3}{x} + \frac{2}{y} = 0$ (2) $\frac{7}{2 x + 1} + \frac{13}{y + 2} = 27; \frac{13}{2 x + 1} + \frac{7}{y + 2} = 33$ (3) $\frac{148}{x} + \frac{231}{y} = \frac{527}{x y}; \frac{231}{x} + \frac{148}{y} = \frac{610}{x y}$ (4) $\frac{7 x - 2 y}{x y} = 5; \frac{8 x + 7 y}{x y} = 15$ (5) $\frac{1}{2 (3 x + 4 y)} + \frac{1}{5 (2 x - 3 y)} = \frac{1}{4}; \frac{5}{(3 x + 4 y)} - \frac{2}{(2 x - 3 y)} = - \frac{3}{2}$

Discussion

2737.	Which one of the following events has a probability of 1?
Answer» Which one of the following events has a probability of 1?

Discussion

2738.	The value of 33√2×73√6×53√18 is
Answer» The value of $3 \sqrt[3]{2} \times 7 \sqrt[3]{6} \times 5 \sqrt[3]{18}$ is

Discussion

2739.	Select the correct option.i. Which number will we reach if we move 4 numbers to the right of -2?ii. Which number will we reach if we move 5 numbers to the left of 1?iii. If we are at -8 on the number line, in which direction should we move to reach -13?iv. If we are at -6 on the number line, in which direction should we move to reach -1?
Answer» Select the correct option. i. Which number will we reach if we move 4 numbers to the right of -2? ii. Which number will we reach if we move 5 numbers to the left of 1? iii. If we are at -8 on the number line, in which direction should we move to reach -13? iv. If we are at -6 on the number line, in which direction should we move to reach -1?

Discussion

2740.	Question 3(ii)Add the following:(ii) a- b+ab, b - c +bc, c - a + ac
Answer» Question 3(ii) Add the following: (ii) a- b+ab, b - c +bc, c - a + ac

Discussion

2741.	which of the following are correct representation of 3.75 in fractions ?
Answer» which of the following are correct representation of 3.75 in fractions ?

Discussion

2742.	The number of subsets of A = {1, 2, 3,4} is _____.
Answer» The number of subsets of A = {1, 2, 3,4} is _____.

Discussion

2743.	56. COMPLEX NUMBERS : Numerical type : z1, z2 be complex numbers satisfying the equations Re(z) - 4 = \| z-2+3i \| and arg[(z1 - 4 + 3i) / (z2 - 4 +3i)] = pie /2, then the minimum value of \| z1 - z2 \| is?
Answer» 56. COMPLEX NUMBERS : Numerical type : z1, z2 be complex numbers satisfying the equations Re(z) - 4 = \| z-2+3i \| and arg[(z1 - 4 + 3i) / (z2 - 4 +3i)] = pie /2, then the minimum value of \| z1 - z2 \| is?

Discussion

2744.	46. In a right angled triangle , one acute angle is double the other. Prove that the hypotenuse is double the smallest side.
Answer» 46. In a right angled triangle , one acute angle is double the other. Prove that the hypotenuse is double the smallest side.

Discussion

2745.	Are the following pairs of angles supplementary ?(1) 139∘ and 39∘(2) 26 59′ and 153∘ 1′
Answer» Are the following pairs of angles supplementary ? (1) $139^{\circ}$ and $39^{\circ}$ (2) $26 59^{'}$ and $153^{\circ} 1^{'}$

Discussion

2746.	Type the correct value:30% of = 15.
Answer» Type the correct value: 30% of = 15.

Discussion

2747.	The number of ways in which the letters of the word ′ARRANGE′ can be arranged so that the two A's are together but not two R's is
Answer» The number of ways in which the letters of the word $^{'} A R R A N G E^{'}$ can be arranged so that the two $A$ 's are together but not two $R$ 's is

Discussion

2748.	The perimeter of a rectangular swimming pool is 64m. If its length and breadth are in the ratio of 5 : 3, find the length of the pool.
Answer» The perimeter of a rectangular swimming pool is 64m. If its length and breadth are in the ratio of 5 : 3, find the length of the pool.

Discussion

2749.

Find:(i) (ii) (iii) (iv) (v) (vi)

Answer»

Find:

(i) (ii) (iii)

(iv) (v) (vi)

Discussion

2750.	Simplify (35)4
Answer» Simplify $(\frac{3}{5})^{4}$

Discussion

Explore topic-wise InterviewSolutions in .

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = x, find ∠ROT.

In an equilateral triangle, lengths of the sides are __.

Which is greater:(a) 0.07 or 0.02(b) 0.5 or 0.05(c) 3.3 or 3.300

If A¯¯¯¯B+¯¯¯¯AB=C, then the value of A¯¯¯¯C+¯¯¯¯AC =

Rotating the given regular hexagon by an angle of 60∘ yields the same figure as the original. At what other angles will this happen for the figure?

The numerical factor of a term is known as

Question 8Half of a herd of deer are grazing in the field and three-fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.

Solve the following problems.What sum will amount to Rs. 392 at the rate of 4% p.a in 3 years?

Find the least number which must be added to 306452 to make it a perfect square.

For the following quadrilateral, which option is correct?

Mention the value of the variable in each of the following:(1) (2) (3) (4) (5)

Observe the given bar graph carefully and answer the questions that follow.What information does the bar graph depict?

Which of the following forms a Pythagorean triplet?

31. prove that in a triangle, angle opposite to the longest side is greater than 2/3 of right angle

17. Draw a line segment AB and by ruler and compasses, obtain a line segment of length (3/4)AB

Question 5(v)Obtain the product of:m,-mn,mnp

Chen and Hermione took a loan of $4000 each at 15% per annum for 312 years and 5 years respectively. Then, the difference in the interest paid by them is (in dollars)900

प्राचीन काल में मनोरंजन और शक्ति प्रदर्शन के लिए किस प्रकार के आयोजन किए जाते थे?

How to prove that \sqrt4 is rational?

Construct the following angles and verify by measuring them by a protractor:(i) 75∘

Which is the greatest 312,215,56. What is the general approach to solve.

Find the number of lines of symmetry for the given shape:

The value of 722−712 is equal to

Because of his habit of always peeking into the books of higher grades, Ted was able to recollect that Euclid gave some axioms. How many axioms did Euclid give?

The number of two digit even multiples of 7 are

Ranjeet travels 452 km to his hometown. If he takes a bus for 225 km and a train for the remaining journey, what distance (in decimals) did he travel by train?

The bisectors of a pair of vertically opposite angels are in the __________.

Figure shows the sale of mobiles of different brands.Select the mobile brand whose sale is 0.25 of the Nokia.

What algebraic expression must be added to 9y to get 25x?

The sum of two integers is -25 if one of them is 30 find the other.

Subtract 4p2q−3pq+5pq2−8p+7q−10 from 18−3p−11q+5pq−2pq2+5p2q.

Determine the faces, vertices and edges of the following shape.

Question 3 (vi) Find 156.1 × 100

Solve the following simultaneous equations.(1) 2x+23y=16 ; 3x+2y=0(2) 72x+1+13y+2=27 ; 132x+1+7y+2=33(3) 148x+231y=527xy ; 231x+148y=610xy(4) 7x-2yxy=5 ; 8x+7yxy=15(5) 123x+4y+152x-3y=14 ; 53x+4y-22x-3y=-32

Which one of the following events has a probability of 1?

The value of 33√2×73√6×53√18 is

Question 3(ii)Add the following:(ii) a- b+ab, b - c +bc, c - a + ac

which of the following are correct representation of 3.75 in fractions ?

The number of subsets of A = {1, 2, 3,4} is _____.

56. COMPLEX NUMBERS : Numerical type : z1, z2 be complex numbers satisfying the equations Re(z) - 4 = | z-2+3i | and arg[(z1 - 4 + 3i) / (z2 - 4 +3i)] = pie /2, then the minimum value of | z1 - z2 | is?

46. In a right angled triangle , one acute angle is double the other. Prove that the hypotenuse is double the smallest side.

Are the following pairs of angles supplementary ?(1) 139∘ and 39∘(2) 26 59′ and 153∘ 1′

Type the correct value:30% of = 15.

The number of ways in which the letters of the word ′ARRANGE′ can be arranged so that the two A's are together but not two R's is

The perimeter of a rectangular swimming pool is 64m. If its length and breadth are in the ratio of 5 : 3, find the length of the pool.

Find:(i) (ii) (iii) (iv) (v) (vi)

Simplify (35)4