19743 + Interview Questions in Mathematics Page 119 InterviewSolution

5901.	Two angles of a triangle are 65∘ and 45∘ then the third angle is:
Answer» Two angles of a triangle are $65^{\circ}$ and $45^{\circ}$ then the third angle is:

Discussion

5902.	Among the given rational numbers, find the second largest number. −43,−78,−912,−1924
Answer» Among the given rational numbers, find the second largest number. $\frac{- 4}{3}, \frac{- 7}{8}, \frac{- 9}{12}, \frac{- 19}{24}$

Discussion

5903.	A ray OC is constructed on the line segment AB such that ∠BOC is x∘. What will ∠AOC be?
Answer» A ray OC is constructed on the line segment AB such that ∠BOC is x $^{\circ}$ . What will ∠AOC be?

5903.

A ray OC is constructed on the line segment AB such that ∠BOC is x∘. What will ∠AOC be?

Answer»

A ray OC is constructed on the line segment AB such that ∠BOC is x $^{\circ}$ . What will ∠AOC be?

Discussion

5904.	Simplify and express the following in exponential form:(54×m10n5)÷(58×m7n4)
Answer» Simplify and express the following in exponential form: $(5^{4} \times m^{10} n^{5}) \div (5^{8} \times m^{7} n^{4})$

Discussion

5905.	In a class, there are 8 boys and 11 girls. The ratio of the number of girls to the number of boys is .
Answer» In a class, there are 8 boys and 11 girls. The ratio of the number of girls to the number of boys is .

Discussion

5906.	47. If three positive real numbers a, b, c are in AP and abc =4 , than the minimum possible value of b is?
Answer» 47. If three positive real numbers a, b, c are in AP and abc =4 , than the minimum possible value of b is?

Discussion

5907.	A body can travel x meters in y seconds. The distance that it will cover in z seconds will be:
Answer» A body can travel x meters in y seconds. The distance that it will cover in z seconds will be:

Discussion

5908.	Question 37Fill in the blanks to make the statements true.The square of 0.7 is ___
Answer» Question 37 Fill in the blanks to make the statements true. The square of 0.7 is ___

5908.

Question 37Fill in the blanks to make the statements true.The square of 0.7 is ___

Answer»

Question 37

Fill in the blanks to make the statements true.

The square of 0.7 is ___

Discussion

5909.	If A and B are two events such that P(A∪B) + P(A∩B) = 78 and P(A) = 2 P(B), then P(A)______________.
Answer» If A and B are two events such that $P (A \cup B) + P (A \cap B) = \frac{7}{8}$ and P(A) = 2 P(B), then P(A)______________.

Discussion

5910.	Question 8 The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
Answer» Question 8 The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.

Discussion

5911.	Find the H.C.F of the following expressions:(1) x3 − 7x2 + 14x − 8 and x3 − 6x2 + 11x − 6(2) 4a2 − 11a2 + 25a + 7 and 2a3 − 5a2 + 11a + 7(3) x3 − 86x + 35 − 6x2 and x3 + 40 − 5x2 − 99x(4) a3 − a2 − 7a + 3; a3 − 5a2 + 9a − 9 and a3 − 4a2 + 4a − 3.
Answer» Find the H.C.F of the following expressions: (1) x³ − 7x² + 14x − 8 and x³ − 6x² + 11x − 6 (2) 4a² − 11a² + 25a + 7 and 2a³ − 5a² + 11a + 7 (3) x³ − 86x + 35 − 6x² and x³ + 40 − 5x² − 99x (4) a³ − a² − 7a + 3; a³ − 5a² + 9a − 9 and a³ − 4a² + 4a − 3.

5911.

Find the H.C.F of the following expressions:(1) x3 − 7x2 + 14x − 8 and x3 − 6x2 + 11x − 6(2) 4a2 − 11a2 + 25a + 7 and 2a3 − 5a2 + 11a + 7(3) x3 − 86x + 35 − 6x2 and x3 + 40 − 5x2 − 99x(4) a3 − a2 − 7a + 3; a3 − 5a2 + 9a − 9 and a3 − 4a2 + 4a − 3.

Answer»

Find the H.C.F of the following expressions:

(1) x³ − 7x² + 14x − 8 and x³ − 6x² + 11x − 6

(2) 4a² − 11a² + 25a + 7 and 2a³ − 5a² + 11a + 7

(3) x³ − 86x + 35 − 6x² and x³ + 40 − 5x² − 99x

(4) a³ − a² − 7a + 3; a³ − 5a² + 9a − 9 and a³ − 4a² + 4a − 3.

Discussion

5912.	The image of the point (-2,-3) when reflected in the x axis is ___
Answer» The image of the point (-2,-3) when reflected in the x axis is ___

Discussion

5913.	if two triangles have equal area and the ratio of their bases is equal to 2:3, then find the ratio of their corresponding altitude.
Answer» if two triangles have equal area and the ratio of their bases is equal to 2:3, then find the ratio of their corresponding altitude.

Discussion

5914.	26. Find the amount and compound interest when P is 10000 R is 8% T is 1yr . compound quarterly
Answer» 26. Find the amount and compound interest when P is 10000 R is 8% T is 1yr . compound quarterly

Discussion

5915.	Verify the following: (−21)×[(−4)+(−6)]=[(−21)×(−4)]+[(−21)×(−6)]
Answer» Verify the following: $(- 21) \times [(- 4) + (- 6)] = [(- 21) \times (- 4)] + [(- 21) \times (- 6)]$

Discussion

5916.	The bar graph for the following data:is shown below:Which savings(in percentage) is done by the least number of employees?
Answer» The bar graph for the following data: is shown below: Which savings(in percentage) is done by the least number of employees?

Discussion

5917.	What is the value of 5.8 + 7.3?
Answer» What is the value of 5.8 + 7.3?

Discussion

5918.	Area of a square with side 1 m is:
Answer» Area of a square with side 1 m is:

Discussion

5919.	If two angles of two triangles are congruent to each other, then the third angles will be congruent to each other.Using the above statement, choose which two congruency criteria eventually becomes same.
Answer» If two angles of two triangles are congruent to each other, then the third angles will be congruent to each other. Using the above statement, choose which two congruency criteria eventually becomes same.

5919.

If two angles of two triangles are congruent to each other, then the third angles will be congruent to each other.Using the above statement, choose which two congruency criteria eventually becomes same.

Answer»

If two angles of two triangles are congruent to each other, then the third angles will be congruent to each other.

Using the above statement, choose which two congruency criteria eventually becomes same.

Discussion

5920.	choose the correct optionQ1) 36:324::32:36::72:196::56:?a) 300b) 900c) 400d) 600
Answer» choose the correct option Q1) 36:324::32:36::72:196::56:? a) 300 b) 900 c) 400 d) 600

Discussion

5921.	A farmer has a rectangular field of length and breadth 240 m and 180 m respectively. He wants to fence it with 3 rounds of rope as shown in given figure. What is the total length of rope he must use?
Answer» A farmer has a rectangular field of length and breadth 240 m and 180 m respectively. He wants to fence it with 3 rounds of rope as shown in given figure. What is the total length of rope he must use?

Discussion

5922.	In the figure, ∠BAD=4∠DBA, what is the measure of ∠ABC and x in degrees?
Answer» In the figure, $∠ B A D = 4 ∠ D B A$ , what is the measure of $∠ A B C$ and x in degrees?

Discussion

5923.	Prime factors of 609
Answer» Prime factors of 609

Discussion

5924.	The number of students in a hostel, speaking different languages is given below, Display the data in a pie chart.LanguageHindiEnglishMarathiTamilBengaliTotalNo of students401297472
Answer» The number of students in a hostel, speaking different languages is given below, Display the data in a pie chart. $\begin{matrix} Language & Hindi & English & Marathi & Tamil & Bengali & Total No of students & 40 & 12 & 9 & 7 & 4 & 72 \end{matrix}$

Discussion

5925.	The values of x2 for x > -3 is set of
Answer» The values of $x^{2}$ for x > -3 is set of

Discussion

5926.	A right angled triangle is a triangle with one of it's angle as .
Answer» A right angled triangle is a triangle with one of it's angle as .

Discussion

5927.	The marked price of a mixer is 2300 rupees. A customer purchased it for Rs. 1955. Find percentage of discount offered to the customer.
Answer» The marked price of a mixer is 2300 rupees. A customer purchased it for Rs. 1955. Find percentage of discount offered to the customer.

Discussion

5928.	Question 27State whether the given statement is true (T) or false (F).25 kg : 20 g = 50 kg : 40g
Answer» Question 27 State whether the given statement is true (T) or false (F). 25 kg : 20 g = 50 kg : 40g

5928.

Question 27State whether the given statement is true (T) or false (F).25 kg : 20 g = 50 kg : 40g

Answer»

Question 27

State whether the given statement is true (T) or false (F).

25 kg : 20 g = 50 kg : 40g

Discussion

5929.	An angle x is 14∘ more than its complement. Find the angle.
Answer» An angle $x$ is $14^{\circ}$ more than its complement. Find the angle.

Discussion

5930.	The circumference of a 14 inches plate is (Take π=227)
Answer» The circumference of a $14$ inches plate is $(T a k e π = \frac{22}{7})$

Discussion

5931.	An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45°?
Answer» An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45°?

Discussion

5932.	In the rectangle ABCD, O is any point inside the rectangle. If area (ΔAOD) = 30 cm2 and area (ΔBOC) = 60 cm2, then find the area of the rectangle ABCD.
Answer» In the rectangle ABCD, O is any point inside the rectangle. If area (ΔAOD) = 30 $c m^{2}$ and area (ΔBOC) = 60 $c m^{2}$ , then find the area of the rectangle ABCD.

5932.

In the rectangle ABCD, O is any point inside the rectangle. If area (ΔAOD) = 30 cm2 and area (ΔBOC) = 60 cm2, then find the area of the rectangle ABCD.

Answer»

In the rectangle ABCD, O is any point inside the rectangle. If area (ΔAOD) = 30 $c m^{2}$ and area (ΔBOC) = 60 $c m^{2}$ , then find the area of the rectangle ABCD.

Discussion

5933.	Count the number of sides of the polygons given below and name them:(i)(ii)(iii)
Answer» Count the number of sides of the polygons given below and name them: (i) (ii) (iii)

Discussion

5934.	If the price of milk increases from ₹ 24 per litre to ₹ 32.40 per litre, then what is the percentage increase in the price?
Answer» If the price of milk increases from ₹ 24 per litre to ₹ 32.40 per litre, then what is the percentage increase in the price?

Discussion

5935.	Question 73 Solve the following: 5x+12x=−13
Answer» Question 73 Solve the following: $\frac{5 x + 1}{2 x} = - \frac{1}{3}$

5935.

Question 73 Solve the following: 5x+12x=−13

Answer»

Question 73

Solve the following:

$\frac{5 x + 1}{2 x} = - \frac{1}{3}$

Discussion

5936.	From the graph, what is the profit earned when the number of items sold is 2000?2000
Answer» From the graph, what is the profit earned when the number of items sold is 2000? 2000

Discussion

5937.	(−c)(−b)×(−c)d=e State whether 'e' is a positive or a negative integer? [3 MARKS]
Answer» $\frac{(- c)}{(- b)} \times \frac{(- c)}{d} = e$ State whether 'e' is a positive or a negative integer? [3 MARKS]

Discussion

5938.	Find the measure of the angle ACE.
Answer» Find the measure of the angle ACE.

5938.

Find the measure of the angle ACE.

Answer»

Find the measure of the angle ACE.

Discussion

5939.	Jaidev takes 215 minutes to walk across the school ground. Rahul takes 74 minutes to do same. Who takes less time and by what fraction?
Answer» Jaidev takes 2 $\frac{1}{5}$ minutes to walk across the school ground. Rahul takes $\frac{7}{4}$ minutes to do same. Who takes less time and by what fraction?

Discussion

5940.	Question 3(ii)Find the value of:(2−1×4−1)÷2−2
Answer» Question 3(ii) Find the value of: $(2^{- 1} \times 4^{- 1}) \div 2^{- 2}$

5940.

Question 3(ii)Find the value of:(2−1×4−1)÷2−2

Answer»

Question 3(ii)

Find the value of:

$(2^{- 1} \times 4^{- 1}) \div 2^{- 2}$

Discussion

5941.	In a number line there are eight points.They are lying on number line such that US = SR = RT and AP = PQ = QB. Find the rational numbers represented by P, Q, R, S. [4 MARKS]
Answer» In a number line there are eight points.They are lying on number line such that US = SR = RT and AP = PQ = QB. Find the rational numbers represented by P, Q, R, S. [4 MARKS]

5941.

In a number line there are eight points.They are lying on number line such that US = SR = RT and AP = PQ = QB. Find the rational numbers represented by P, Q, R, S. [4 MARKS]

Answer»

In a number line there are eight points.They are lying on number line such that US = SR = RT and AP = PQ = QB. Find the rational numbers represented by P, Q, R, S. [4 MARKS]

Discussion

5942.	Question 79 (a) Identify the greater number, in each of the following. 26 or 62
Answer» Question 79 (a) Identify the greater number, in each of the following. $2^{6} o r 6^{2}$

5942.

Question 79 (a) Identify the greater number, in each of the following. 26 or 62

Answer»

Question 79 (a)

Identify the greater number, in each of the following.
$2^{6} o r 6^{2}$

Discussion

5943.	A mathematics teacher wanted to see, whether the new technique of teaching she applied after the quarterly test was effective or not. She took the scores of the 5 weak children in the quarterly test (out of 25) and in the half-yearly test (out of 25): [4 MARKS] StudentsAshishArunKavishMayaRitaQuarterly101512209Half yearly1518162115 Draw a double bar graph. Using the graph answer the following questions. (i) Is the new technique of teaching effective? (ii) Who has benefitted more from the new technique?
Answer» A mathematics teacher wanted to see, whether the new technique of teaching she applied after the quarterly test was effective or not. She took the scores of the 5 weak children in the quarterly test (out of 25) and in the half-yearly test (out of 25): [4 MARKS] $\begin{matrix} S t u d e n t s & A s h i s h & A r u n & K a v i s h & M a y a & R i t a Q u a r t e r l y & 10 & 15 & 12 & 20 & 9 H a l f y e a r l y & 15 & 18 & 16 & 21 & 15 \end{matrix}$ Draw a double bar graph. Using the graph answer the following questions. (i) Is the new technique of teaching effective? (ii) Who has benefitted more from the new technique?

Discussion

5944.	Observe the adjacent pie diagram. It shows the percentages of number of vehicles passing a signal in a town between 8 am and 10 am (1) Find the central angle for each type of vehicle. (2) If the number of two-wheelers is 1200, find the number of all vehicles.
Answer» Observe the adjacent pie diagram. It shows the percentages of number of vehicles passing a signal in a town between 8 am and 10 am (1) Find the central angle for each type of vehicle. (2) If the number of two-wheelers is 1200, find the number of all vehicles.

Discussion

5945.	12 chairs were arranged with 3 chairs in each row. Later, 8 more chairs were added. Find the number of chairs in each row such that the total number of rows remains the same.
Answer» $12$ chairs were arranged with $3$ chairs in each row. Later, $8$ more chairs were added. Find the number of chairs in each row such that the total number of rows remains the same.

Discussion

5946.	Question 69Sobi types 108 words in 6 minutes. How many words would she type in half an hour?
Answer» Question 69 Sobi types 108 words in 6 minutes. How many words would she type in half an hour?

5946.

Question 69Sobi types 108 words in 6 minutes. How many words would she type in half an hour?

Answer»

Question 69

Sobi types 108 words in 6 minutes. How many words would she type in half an hour?

Discussion

5947.	Study the graph and answer the question based on it. A company’s income and expenditure year per year (in crore rupees) Q11. In which of the following years was the percentage of income to expenditure the least?
Answer» Study the graph and answer the question based on it. A company’s income and expenditure year per year (in crore rupees) Q11. In which of the following years was the percentage of income to expenditure the least?

5947.

Study the graph and answer the question based on it. A company’s income and expenditure year per year (in crore rupees) Q11. In which of the following years was the percentage of income to expenditure the least?

Answer»

Study the graph and answer the question based on it.

A company’s income and expenditure year per year (in crore rupees)

Q11. In which of the following years was the percentage of income to expenditure the least?

Discussion

5948.	Question 9Find the smallest square number that is divisible by each of the numbers 4, 9 and 10.
Answer» Question 9 Find the smallest square number that is divisible by each of the numbers 4, 9 and 10.

Discussion

5949.	5. The inside perimeter of a running track (shown in Fig. 20.24) ls 400 m. The length of each of thestraight portion is 90 m and the ends are semi-circies If the track is everywhere 14 m wide, find thearea of the track. Also, find the length of the outer running track.
Answer» 5. The inside perimeter of a running track (shown in Fig. 20.24) ls 400 m. The length of each of thestraight portion is 90 m and the ends are semi-circies If the track is everywhere 14 m wide, find thearea of the track. Also, find the length of the outer running track.

Discussion

5950.	Write:0.6797979… can be represented in rational number as
Answer» Write: $0.6797979 \dots$ can be represented in rational number as

Discussion

Explore topic-wise InterviewSolutions in .

Two angles of a triangle are 65∘ and 45∘ then the third angle is:

Among the given rational numbers, find the second largest number. −43,−78,−912,−1924

A ray OC is constructed on the line segment AB such that ∠BOC is x∘. What will ∠AOC be?

Simplify and express the following in exponential form:(54×m10n5)÷(58×m7n4)

In a class, there are 8 boys and 11 girls. The ratio of the number of girls to the number of boys is .

47. If three positive real numbers a, b, c are in AP and abc =4 , than the minimum possible value of b is?

A body can travel x meters in y seconds. The distance that it will cover in z seconds will be:

Question 37Fill in the blanks to make the statements true.The square of 0.7 is ___

If A and B are two events such that P(A∪B) + P(A∩B) = 78 and P(A) = 2 P(B), then P(A)______________.

Question 8 The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.

Find the H.C.F of the following expressions:(1) x3 − 7x2 + 14x − 8 and x3 − 6x2 + 11x − 6(2) 4a2 − 11a2 + 25a + 7 and 2a3 − 5a2 + 11a + 7(3) x3 − 86x + 35 − 6x2 and x3 + 40 − 5x2 − 99x(4) a3 − a2 − 7a + 3; a3 − 5a2 + 9a − 9 and a3 − 4a2 + 4a − 3.

The image of the point (-2,-3) when reflected in the x axis is ___

if two triangles have equal area and the ratio of their bases is equal to 2:3, then find the ratio of their corresponding altitude.

26. Find the amount and compound interest when P is 10000 R is 8% T is 1yr . compound quarterly

Verify the following: (−21)×[(−4)+(−6)]=[(−21)×(−4)]+[(−21)×(−6)]

The bar graph for the following data:is shown below:Which savings(in percentage) is done by the least number of employees?

What is the value of 5.8 + 7.3?

Area of a square with side 1 m is:

If two angles of two triangles are congruent to each other, then the third angles will be congruent to each other.Using the above statement, choose which two congruency criteria eventually becomes same.

choose the correct optionQ1) 36:324::32:36::72:196::56:?a) 300b) 900c) 400d) 600

A farmer has a rectangular field of length and breadth 240 m and 180 m respectively. He wants to fence it with 3 rounds of rope as shown in given figure. What is the total length of rope he must use?

In the figure, ∠BAD=4∠DBA, what is the measure of ∠ABC and x in degrees?

Prime factors of 609

The number of students in a hostel, speaking different languages is given below, Display the data in a pie chart.LanguageHindiEnglishMarathiTamilBengaliTotalNo of students401297472

The values of x2 for x &gt; -3 is set of

A right angled triangle is a triangle with one of it's angle as .

The marked price of a mixer is 2300 rupees. A customer purchased it for Rs. 1955. Find percentage of discount offered to the customer.

Question 27State whether the given statement is true (T) or false (F).25 kg : 20 g = 50 kg : 40g

An angle x is 14∘ more than its complement. Find the angle.

The circumference of a 14 inches plate is (Take π=227)

An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45°?

In the rectangle ABCD, O is any point inside the rectangle. If area (ΔAOD) = 30 cm2 and area (ΔBOC) = 60 cm2, then find the area of the rectangle ABCD.

Count the number of sides of the polygons given below and name them:(i)(ii)(iii)

If the price of milk increases from ₹ 24 per litre to ₹ 32.40 per litre, then what is the percentage increase in the price?

Question 73 Solve the following: 5x+12x=−13

From the graph, what is the profit earned when the number of items sold is 2000?2000

(−c)(−b)×(−c)d=e State whether 'e' is a positive or a negative integer? [3 MARKS]

Find the measure of the angle ACE.

Jaidev takes 215 minutes to walk across the school ground. Rahul takes 74 minutes to do same. Who takes less time and by what fraction?

Question 3(ii)Find the value of:(2−1×4−1)÷2−2

In a number line there are eight points.They are lying on number line such that US = SR = RT and AP = PQ = QB. Find the rational numbers represented by P, Q, R, S. [4 MARKS]

Question 79 (a) Identify the greater number, in each of the following. 26 or 62

Observe the adjacent pie diagram. It shows the percentages of number of vehicles passing a signal in a town between 8 am and 10 am (1) Find the central angle for each type of vehicle. (2) If the number of two-wheelers is 1200, find the number of all vehicles.

12 chairs were arranged with 3 chairs in each row. Later, 8 more chairs were added. Find the number of chairs in each row such that the total number of rows remains the same.

Question 69Sobi types 108 words in 6 minutes. How many words would she type in half an hour?

Study the graph and answer the question based on it. A company’s income and expenditure year per year (in crore rupees) Q11. In which of the following years was the percentage of income to expenditure the least?

Question 9Find the smallest square number that is divisible by each of the numbers 4, 9 and 10.

5. The inside perimeter of a running track (shown in Fig. 20.24) ls 400 m. The length of each of thestraight portion is 90 m and the ends are semi-circies If the track is everywhere 14 m wide, find thearea of the track. Also, find the length of the outer running track.

Write:0.6797979… can be represented in rational number as

The values of x2 for x > -3 is set of