25365 + Interview Questions in Mathematics Page 116 InterviewSolution

5751.	The vertices of A triangle are A(-1, -7), B(5, 1), C(1, 4). The equation of angular bisrctor of ABC
Answer» The vertices of A triangle are A(-1, -7), B(5, 1), C(1, 4). The equation of angular bisrctor of ABC

Discussion

5752.	Question 2(iii)Express the following numbers in usual form:3×10−8
Answer» Question 2(iii) Express the following numbers in usual form: $3 \times 10^{- 8}$

Discussion

5753.	In the given figure, ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60°. Compute ∠CDB and ∠ADB.
Answer» In the given figure, ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60°. Compute ∠CDB and ∠ADB.

Discussion

5754.	Four alternative options are given for each of the following statements. Select the correct option.What percent of 50 metres is 12 metres?A. 20%B. 60%C. 24%D. 32%
Answer» Four alternative options are given for each of the following statements. Select the correct option. What percent of 50 metres is 12 metres? A. 20% B. 60% C. 24% D. 32%

5754.

Four alternative options are given for each of the following statements. Select the correct option.What percent of 50 metres is 12 metres?A. 20%B. 60%C. 24%D. 32%

Answer»

Four alternative options are given for each of the following statements.

Select the correct option.

What percent of 50 metres is 12 metres?

A. 20%

B. 60%

C. 24%

D. 32%

Discussion

5755.	What are the factors of 36?
Answer» What are the factors of 36?

Discussion

5756.	The cube root of 9000 is _____. (solve by prime factorisation method)
Answer» The cube root of 9000 is _____. (solve by prime factorisation method)

Discussion

5757.	Construct ∆ ABC, in which BC =5.2 cm, ∠ACB = 45° and perimeter of ∆ ABC is 10 cm.
Answer» Construct $∆$ ABC, in which BC =5.2 cm, $∠$ ACB = $45^{°}$ and perimeter of $∆$ ABC is 10 cm.

Discussion

5758.	After everyone grabbed a bottle and did some painting, you all got back to your places. Then the teacher cut the box along the black lines as shown in the figure which are called the _________ of the box and lay the box flat on the table.
Answer» After everyone grabbed a bottle and did some painting, you all got back to your places. Then the teacher cut the box along the black lines as shown in the figure which are called the _________ of the box and lay the box flat on the table.

5758.

After everyone grabbed a bottle and did some painting, you all got back to your places. Then the teacher cut the box along the black lines as shown in the figure which are called the _________ of the box and lay the box flat on the table.

Answer»

After everyone grabbed a bottle and did some painting, you all got back to your places. Then the teacher cut the box along the black lines as shown in the figure which are called the _________ of the box and lay the box flat on the table.

Discussion

5759.	35. (2002raised to 2005+2003raised to 2006+2007raised to 2007)find last digit of sum
Answer» 35. (2002raised to 2005+2003raised to 2006+2007raised to 2007)find last digit of sum

Discussion

5760.	Question 65(i)The following is the time-distance graph of Sneha's walking.When does Sneha make the least progress? Explain your reasoning.
Answer» Question 65(i) The following is the time-distance graph of Sneha's walking. When does Sneha make the least progress? Explain your reasoning.

Discussion

5761.	Write down ten rational numbers which are equivalent to 5/7 and the denominator not exceeding 80.
Answer» Write down ten rational numbers which are equivalent to 5/7 and the denominator not exceeding 80.

Discussion

5762.	6 pipes can fill a tank in 4 hours. How many more pipes are required to fill the same tank in 1 hour?
Answer» 6 pipes can fill a tank in 4 hours. How many more pipes are required to fill the same tank in 1 hour?

Discussion

5763.	Of the given numbers (i) √27 (ii) √256 (iii) 0.3796 (iv) 7.478478... (v) 1.101001000100001...
Answer» Of the given numbers (i) √27 (ii) √256 (iii) 0.3796 (iv) 7.478478... (v) 1.101001000100001...

5763.

Of the given numbers (i) √27 (ii) √256 (iii) 0.3796 (iv) 7.478478... (v) 1.101001000100001...

Answer»

Of the given numbers

(i) √27

(ii) √256

(iii) 0.3796

(iv) 7.478478...

(v) 1.101001000100001...

Discussion

5764.	If (a+ ib) (c + id) (e + if) (g+ ih) = A + iB, then show that (a2+ b2) (c2 + d2)(e2 + f2) (g2 +h2) = A2 + B2.
Answer» If (a + ib) (c + id) (e + if) (g + ih) = A + iB, then show that (a² + b²) (c² + d²) (e² + f²) (g² + h²) = A² + B².

5764.

If (a+ ib) (c + id) (e + if) (g+ ih) = A + iB, then show that (a2+ b2) (c2 + d2)(e2 + f2) (g2 +h2) = A2 + B2.

Answer»

If (a
+ ib) (c + id) (e + if) (g
+ ih) = A + iB, then show that

(a²
+ b²) (c² + d²)
(e² + f²) (g² +
h²) = A² + B².

Discussion

5765.	Find the smallest number by which 3645 must be multiplied so that it becomes perfect square.
Answer» Find the smallest number by which 3645 must be multiplied so that it becomes perfect square.

Discussion

5766.	The number of students who have scored between 80-90 marks is ___
Answer» The number of students who have scored between 80-90 marks is ___

5766.

The number of students who have scored between 80-90 marks is ___

Answer»

The number of students who have scored between 80-90 marks is

___

Discussion

5767.	Find each of the following products: (x2−5x+8)×(x2+2x−3)
Answer» Find each of the following products: $(x^{2} - 5 x + 8) \times (x^{2} + 2 x - 3)$

5767.

Find each of the following products: (x2−5x+8)×(x2+2x−3)

Answer»

Find each of the following products:

$(x^{2} - 5 x + 8) \times (x^{2} + 2 x - 3)$

Discussion

5768.	Question 38 In the question given below, fill in the blank to make the statement true: a2−b2=(a+b) ___
Answer» Question 38 In the question given below, fill in the blank to make the statement true: $a^{2} - b^{2} = (a + b)$ ___

Discussion

5769.	The difference between the median of the numbers 7,5,4,8,9,25 with and without outlier is .
Answer» The difference between the median of the numbers $7, 5, 4, 8, 9, 25$ with and without outlier is .

Discussion

5770.	pounds of mixed nuts worth $4.75 /lb should be combined with 10 lb of dried fruits worth $5.50 /lb to make a trail mix that would sell for $4.95 /lb.
Answer» pounds of mixed nuts worth $$ 4.75 /lb$ should be combined with $10 lb$ of dried fruits worth $$ 5.50 /lb$ to make a trail mix that would sell for $$ 4.95 /lb$ .

Discussion

5771.	A parallelogram and a rhombus are equal in area. The diagonals of the rhombus measure 120 m and 44 m. If one of the sides of the parallelogram measures 66 m, find its corresponding altitude.
Answer» A parallelogram and a rhombus are equal in area. The diagonals of the rhombus measure 120 m and 44 m. If one of the sides of the parallelogram measures 66 m, find its corresponding altitude.

Discussion

5772.	Which of the following is not a monomial?
Answer» Which of the following is not a monomial?

Discussion

5773.	If opposite angles in a parallelogram are 110 degrees each, what are the other two angles?
Answer» If opposite angles in a parallelogram are 110 degrees each, what are the other two angles?

Discussion

5774.	The slope of line 5y=10x+2 will be
Answer» The slope of line 5y=10x+2 will be

Discussion

5775.	Factorize the following : 3x - 9
Answer» Factorize the following : 3x - 9

5775.

Factorize the following : 3x - 9

Answer»

Factorize the following :

3x - 9

Discussion

5776.	Question 31 Zero has ___ reciprocal.
Answer» Question 31 Zero has ___ reciprocal.

Discussion

5777.	Which of the following is a measure of central tendency?
Answer» Which of the following is a measure of central tendency?

Discussion

5778.	The temperature at 12 noon was 10∘C above zero. If it decreases at the rate of 2∘C per hour until midnight, at what time would the temperature be 8∘C below zero? What would be the temperature at mid-night?
Answer» The temperature at 12 noon was $10^{\circ} C$ above zero. If it decreases at the rate of $2^{\circ} C$ per hour until midnight, at what time would the temperature be $8^{\circ} C$ below zero? What would be the temperature at mid-night?

Discussion

5779.	What will be the equation to represent this graph?
Answer» What will be the equation to represent this graph?

Discussion

5780.	By using the formula, find the amount and compound interest on:In how many years will Rs. 6250 amount to Rs. 7290 at 8% per annum, compounded annually ?
Answer» By using the formula, find the amount and compound interest on: In how many years will $R s . 6250$ amount to $R s . 7290$ at $8 %$ per annum, compounded annually ?

Discussion

5781.	Question 61If 2A7 ÷ A = 33, then find the value of A.
Answer» Question 61 If 2A7 $\div$ A = 33, then find the value of A.

5781.

Question 61If 2A7 ÷ A = 33, then find the value of A.

Answer»

Question 61

If 2A7 $\div$ A = 33, then find the value of A.

Discussion

5782.	Multiply the following numbers(i) 600×4(ii) 4×500(iii) 9×900(vi) 500×6(v) 200×9
Answer» Multiply the following numbers $(i) 600 \times 4$ $(i i) 4 \times 500$ $(i i i) 9 \times 900$ $(v i) 500 \times 6$ $(v) 200 \times 9$

Discussion

5783.	the compound interest on a certain sum of 2 year is rupees756 and simple interest is rupees 720.if the sum is invested such that the simple interest is rupees 900 and the number of years is equal to the rate percent per anum find the rate percent thecompound interes on a certain sum of 2 year is rupees 756 and simple interest is rupees 720 .if the sum is invested such that the simple interest is rupees 900 and the number of years is equal to the rate percent per anum find the rate percent
Answer» the compound interest on a certain sum of 2 year is rupees756 and simple interest is rupees 720.if the sum is invested such that the simple interest is rupees 900 and the number of years is equal to the rate percent per anum find the rate percent thecompound interes on a certain sum of 2 year is rupees 756 and simple interest is rupees 720 .if the sum is invested such that the simple interest is rupees 900 and the number of years is equal to the rate percent per anum find the rate percent

Discussion

5784.	Question 7(iv) Simplify: (iv) (−2)3×(−10)3
Answer» Question 7(iv) Simplify: (iv) $(- 2)^{3} \times (- 10)^{3}$

Discussion

5785.	Verify that (x÷y)^{-1} = x−1÷y−1, if x=−1526,y=513
Answer» Verify that $(x \div$ y)^{-1} = $x^{- 1} \div y^{- 1}$ , if $x = \frac{- 15}{26}, y = \frac{5}{13}$

Discussion

5786.	Question 5 (v)For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:1458
Answer» Question 5 (v) For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained: 1458

Discussion

5787.	Tom now had access to the ammunition [ammo]. He now had to load a correct amount of ammo to shoot the combatant. The gun calculated the amount of ammo to be loaded and displayed the following to Tom – “There are 27 bullets that can be fired in each roundand 64 rounds are available, which means 27×64=2x×3y bullets can be shot” The gun can be activated digitally by entering another passcode, which is the numerical value of (x-y). What is the passcode that Tom has to enter? ______ [Enter a numerical value] ___
Answer» Tom now had access to the ammunition [ammo]. He now had to load a correct amount of ammo to shoot the combatant. The gun calculated the amount of ammo to be loaded and displayed the following to Tom – “There are 27 bullets that can be fired in each roundand 64 rounds are available, which means $27 \times 64 = 2^{x} \times 3^{y}$ bullets can be shot” The gun can be activated digitally by entering another passcode, which is the numerical value of (x-y). What is the passcode that Tom has to enter? ______ [Enter a numerical value] ___

5787.

Tom now had access to the ammunition [ammo]. He now had to load a correct amount of ammo to shoot the combatant. The gun calculated the amount of ammo to be loaded and displayed the following to Tom – “There are 27 bullets that can be fired in each roundand 64 rounds are available, which means 27×64=2x×3y bullets can be shot” The gun can be activated digitally by entering another passcode, which is the numerical value of (x-y). What is the passcode that Tom has to enter? ____ [Enter a numerical value] _

Answer»

Tom now had access to the ammunition [ammo]. He now had to load a correct amount of ammo to shoot the combatant. The gun calculated the amount of ammo to be loaded and displayed the following to Tom –

“There are 27 bullets that can be fired in each roundand 64 rounds are available, which means $27 \times 64 = 2^{x} \times 3^{y}$ bullets can be shot”

The gun can be activated digitally by entering another passcode, which is the numerical value of (x-y).

What is the passcode that Tom has to enter? ______ [Enter a numerical value]

___

Discussion

5788.	Question 81In the following question, state whether the given statements are true (T) or false (F).ap×bq=(ab)pq
Answer» Question 81 In the following question, state whether the given statements are true (T) or false (F). $a^{p} \times b^{q} = (a b)^{p q}$

5788.

Question 81In the following question, state whether the given statements are true (T) or false (F).ap×bq=(ab)pq

Answer»

Question 81

In the following question, state whether the given statements are true (T) or false (F).

$a^{p} \times b^{q} = (a b)^{p q}$

Discussion

5789.	A dice is thrown once. Find the probability of getting a prime number.
Answer» A dice is thrown once. Find the probability of getting a prime number.

Discussion

5790.	Question 42(ii)Write the Y-coordinate (ordinate) of the given point.(4,0)
Answer» Question 42(ii) Write the Y-coordinate (ordinate) of the given point. (4,0)

Discussion

5791.	Write seven consecutive composite numbers less than 100 so that there is no prime number between them.
Answer» Write seven consecutive composite numbers less than 100 so that there is no prime number between them.

Discussion

5792.	How many zeroes will 190002 have at the end?
Answer» How many zeroes will $19000^{2}$ have at the end?

Discussion

5793.	The pie - chart given in figure represents the expenditure on different items in constructing a flat in Delhi. If the expenditure incurred on cement is Rs 112500, find the fillowing: (i) Total cost of the flat. (ii) Expenditure incurred on labour.
Answer» The pie - chart given in figure represents the expenditure on different items in constructing a flat in Delhi. If the expenditure incurred on cement is Rs 112500, find the fillowing: (i) Total cost of the flat. (ii) Expenditure incurred on labour.

5793.

The pie - chart given in figure represents the expenditure on different items in constructing a flat in Delhi. If the expenditure incurred on cement is Rs 112500, find the fillowing: (i) Total cost of the flat. (ii) Expenditure incurred on labour.

Answer»

The pie - chart given in figure represents the expenditure on different items in constructing a flat in Delhi. If the expenditure incurred on cement is Rs 112500, find the fillowing:

(i) Total cost of the flat.
(ii) Expenditure incurred on labour.

Discussion

5794.	The pie chart shows the favourite leisure time activities of about 200 people living in India. Observe the chart and answer the following questions.Which activity is preferred least?
Answer» The pie chart shows the favourite leisure time activities of about 200 people living in India. Observe the chart and answer the following questions. Which activity is preferred least?

5794.

The pie chart shows the favourite leisure time activities of about 200 people living in India. Observe the chart and answer the following questions.Which activity is preferred least?

Answer»

The pie chart shows the favourite leisure time activities of about 200 people living in India. Observe the chart and answer the following questions.

Which activity is preferred least?

Discussion

5795.	Mother is 25 years older than her son. Find son's age if after 8 years ratio of son's age to mother's age will be 49?
Answer» Mother is 25 years older than her son. Find son's age if after 8 years ratio of son's age to mother's age will be $\frac{4}{9}$ ?

Discussion

5796.	Which of the following is a linear equation in one variable?
Answer» Which of the following is a linear equation in one variable?

Discussion

5797.	Perimeter of an isosceles triangle is 40 cm. The base is two third of the sum of sides. Find the length of each side.
Answer» Perimeter of an isosceles triangle is $40 c m$ . The base is two third of the sum of sides. Find the length of each side.

Discussion

5798.	Find the square root of 51.84.
Answer» Find the square root of 51.84.

Discussion

5799.	What is the correct notation of permutation of n different things taken r at a time with or without repetition?
Answer» What is the correct notation of permutation of $n$ different things taken $r$ at a time with or without repetition?

Discussion

5800.	(23)−5 is equal to
Answer» ${(\frac{2}{3})}^{- 5}$ is equal to

5800.

(23)−5 is equal to

Answer»

${(\frac{2}{3})}^{- 5}$ is equal to

Discussion

Explore topic-wise InterviewSolutions in .

The vertices of A triangle are A(-1, -7), B(5, 1), C(1, 4). The equation of angular bisrctor of ABC

Question 2(iii)Express the following numbers in usual form:3×10−8

In the given figure, ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60°. Compute ∠CDB and ∠ADB.

Four alternative options are given for each of the following statements. Select the correct option.What percent of 50 metres is 12 metres?A. 20%B. 60%C. 24%D. 32%

What are the factors of 36?

The cube root of 9000 is _____. (solve by prime factorisation method)

Construct ∆ ABC, in which BC =5.2 cm, ∠ACB = 45° and perimeter of ∆ ABC is 10 cm.

After everyone grabbed a bottle and did some painting, you all got back to your places. Then the teacher cut the box along the black lines as shown in the figure which are called the _________ of the box and lay the box flat on the table.

35. (2002raised to 2005+2003raised to 2006+2007raised to 2007)find last digit of sum

Question 65(i)The following is the time-distance graph of Sneha's walking.When does Sneha make the least progress? Explain your reasoning.

Write down ten rational numbers which are equivalent to 5/7 and the denominator not exceeding 80.

6 pipes can fill a tank in 4 hours. How many more pipes are required to fill the same tank in 1 hour?

Of the given numbers (i) √27 (ii) √256 (iii) 0.3796 (iv) 7.478478... (v) 1.101001000100001...

If (a+ ib) (c + id) (e + if) (g+ ih) = A + iB, then show that (a2+ b2) (c2 + d2)(e2 + f2) (g2 +h2) = A2 + B2.

Find the smallest number by which 3645 must be multiplied so that it becomes perfect square.

The number of students who have scored between 80-90 marks is ___

Find each of the following products: (x2−5x+8)×(x2+2x−3)

Question 38 In the question given below, fill in the blank to make the statement true: a2−b2=(a+b) ___

The difference between the median of the numbers 7,5,4,8,9,25 with and without outlier is .

pounds of mixed nuts worth $4.75 /lb should be combined with 10 lb of dried fruits worth $5.50 /lb to make a trail mix that would sell for $4.95 /lb.

A parallelogram and a rhombus are equal in area. The diagonals of the rhombus measure 120 m and 44 m. If one of the sides of the parallelogram measures 66 m, find its corresponding altitude.

Which of the following is not a monomial?

If opposite angles in a parallelogram are 110 degrees each, what are the other two angles?

The slope of line 5y=10x+2 will be

Factorize the following : 3x - 9

Question 31 Zero has ___ reciprocal.

Which of the following is a measure of central tendency?

The temperature at 12 noon was 10∘C above zero. If it decreases at the rate of 2∘C per hour until midnight, at what time would the temperature be 8∘C below zero? What would be the temperature at mid-night?

What will be the equation to represent this graph?

By using the formula, find the amount and compound interest on:In how many years will Rs. 6250 amount to Rs. 7290 at 8% per annum, compounded annually ?

Question 61If 2A7 ÷ A = 33, then find the value of A.

Multiply the following numbers(i) 600×4(ii) 4×500(iii) 9×900(vi) 500×6(v) 200×9

Question 7(iv) Simplify: (iv) (−2)3×(−10)3

Verify that (x÷y)^{-1} = x−1÷y−1, if x=−1526,y=513

Question 5 (v)For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:1458

Question 81In the following question, state whether the given statements are true (T) or false (F).ap×bq=(ab)pq

A dice is thrown once. Find the probability of getting a prime number.

Question 42(ii)Write the Y-coordinate (ordinate) of the given point.(4,0)

Write seven consecutive composite numbers less than 100 so that there is no prime number between them.

How many zeroes will 190002 have at the end?

The pie - chart given in figure represents the expenditure on different items in constructing a flat in Delhi. If the expenditure incurred on cement is Rs 112500, find the fillowing: (i) Total cost of the flat. (ii) Expenditure incurred on labour.

The pie chart shows the favourite leisure time activities of about 200 people living in India. Observe the chart and answer the following questions.Which activity is preferred least?

Mother is 25 years older than her son. Find son's age if after 8 years ratio of son's age to mother's age will be 49?

Which of the following is a linear equation in one variable?

Perimeter of an isosceles triangle is 40 cm. The base is two third of the sum of sides. Find the length of each side.

Find the square root of 51.84.

What is the correct notation of permutation of n different things taken r at a time with or without repetition?

(23)−5 is equal to