16437 + Interview Questions in Mathematics Page 62 InterviewSolution

3051.	Which of the following is the most simplified form of 2√3+√4+(√12−√7) ?
Answer» Which of the following is the most simplified form of $2 \sqrt{3} + \sqrt{4} + (\sqrt{12} - \sqrt{7})$ ?

Discussion

3052.	estimate: 5,987-137
Answer» estimate: 5,987-137

Discussion

3053.	Question 34 State whether the given statement is True or False. If the arms of an angle on the paper are decreased, the angle decreases.
Answer» Question 34 State whether the given statement is True or False. If the arms of an angle on the paper are decreased, the angle decreases.

3053.

Question 34 State whether the given statement is True or False. If the arms of an angle on the paper are decreased, the angle decreases.

Answer»

Question 34

State whether the given statement is True or False.

If the arms of an angle on the paper are decreased, the angle decreases.

Discussion

3054.	Let L1 be the line →r1=2→i+→j−→k+ λ(→i+2→k) and let L2 be the line →r2= 3→i+→j+μ(→i+→j−→k). Let π be the plane which contain the line L1 and is parallel to L2. The distance of the plane π from origin is
Answer» Let $L_{1}$ be the line ${\to r}_{1} = 2 \to i + \to j - \to k +$ $λ (\to i + 2 \to k)$ and let $L_{2}$ be the line ${\to r}_{2} =$ $3 \to i + \to j + μ (\to i + \to j - \to k) .$ Let $π$ be the plane which contain the line $L_{1}$ and is parallel to $L_{2}$ . The distance of the plane $π$ from origin is

Discussion

3055.	Question 90 In a village, there are 8 water tanks to collect rainwater. On a particular day,x litres of rainwater is collected per tank. If 100 litres of water was already there in one of the tanks, then what is the total amount of water in the tanks on that day?
Answer» Question 90 In a village, there are 8 water tanks to collect rainwater. On a particular day, $x$ litres of rainwater is collected per tank. If 100 litres of water was already there in one of the tanks, then what is the total amount of water in the tanks on that day?

3055.

Question 90 In a village, there are 8 water tanks to collect rainwater. On a particular day,x litres of rainwater is collected per tank. If 100 litres of water was already there in one of the tanks, then what is the total amount of water in the tanks on that day?

Answer»

Question 90

In a village, there are 8 water tanks to collect rainwater. On a particular day, $x$ litres of rainwater is collected per tank. If 100 litres of water was already there in one of the tanks, then what is the total amount of water in the tanks on that day?

Discussion

3056.	If perimeter and length of a rectangle are 70 cm and 20 cm respectively, then area of the rectangle will be .
Answer» If perimeter and length of a rectangle are 70 cm and 20 cm respectively, then area of the rectangle will be .

Discussion

3057.	A Hill, 101 13 m in height, has 14th of its height underwater, what is the height of the hill visible above the water?
Answer» A Hill, 101 $\frac{1}{3}$ m in height, has $\frac{1}{4}$ th of its height underwater, what is the height of the hill visible above the water?

Discussion

3058.	Question 3Which are prisms among the following:
Answer» Question 3 Which are prisms among the following:

Discussion

3059.	The number of 4 letter code that can be formed by using the first 10 letters of the English alphabet is αβγδ. If no letter is repeated, then
Answer» The number of $4$ letter code that can be formed by using the first $10$ letters of the English alphabet is $α β γ δ .$ If no letter is repeated, then

Discussion

3060.	If (32)x=(4100)y, then the value of ((y−x)(y+x)) is:
Answer» If $(\frac{3}{2}) x = (\frac{4}{100}) y$ , then the value of $(\frac{(y - x)}{(y + x)})$ is:

Discussion

3061.	Woody drinks 23 of a bottle and little Coco drinks 14 of a bottle. How much do Woody and drink together?
Answer» $Woody drinks \frac{2}{3} of a bottle and little Coco$ $drinks \frac{1}{4} of a bottle. How much do Woody and$ $drink together?$

Discussion

3062.	The angle which is less than 90∘ is known as a/an :
Answer» The angle which is less than $90^{\circ}$ is known as a/an :

Discussion

3063.	What angle is greater than 90 degrees, but less than 180 degrees?
Answer» What angle is greater than 90 degrees, but less than 180 degrees?

Discussion

3064.	Mia hopes to visit all 26 states of Brazil. So far, she has visited 413 of the states. How many states has Mia visited?
Answer» Mia hopes to visit all $26$ states of Brazil. So far, she has visited $\frac{4}{13}$ of the states. How many states has Mia visited?

Discussion

3065.	What is the sum of 323+754 ?
Answer» What is the sum of $3 \frac{2}{3} + 7 \frac{5}{4}$ ?

Discussion

3066.	Alex is three times as old as Rita. Three years later, Alex will be two times as old as Rita. Alex's present age is years.
Answer» Alex is three times as old as Rita. Three years later, Alex will be two times as old as Rita. Alex's present age is years.

Discussion

3067.	Find the length of the rectangle whose area and breadth are 40x2y3 and 8xy2, respectively.
Answer» Find the length of the rectangle whose area and breadth are $40 x^{2}$ $y^{3}$ and $8 x y^{2}$ , respectively.

Discussion

3068.	Construct an angle of 105 degree.
Answer» Construct an angle of 105 degree.

Discussion

3069.	Solve the equation : p6=−512
Answer» Solve the equation : $\frac{p}{6} = - 5 \frac{1}{2}$

Discussion

3070.	How to solve a subtraction bproblem in integers? Eg. 89 from -3
Answer» How to solve a subtraction bproblem in integers? Eg. 89 from -3

3070.

How to solve a subtraction bproblem in integers? Eg. 89 from -3

Answer»

How to solve a subtraction bproblem in integers?

Eg. 89 from -3

Discussion

3071.	A cloth is 3 yd long out of which 12 inches are removed as scrap. The useful length of the cloth is inches.
Answer» $A cloth is 3 yd long out of which 12$ $inches are removed as scrap.$ $The useful length of the cloth is$ $inches.$

Discussion

3072.	Draw anumber line and answer the following:(a) Whichnumber will we reach if we move 4 numbers to the right of − 2.(b) Whichnumber will we reach if we move 5 numbers to the left of 1.(c) If we are at − 8 on the number line, in which directionshould we move to reach − 13?(d) If we are at − 6 on the number line, in which directionshould we move to reach − 1?
Answer» Draw a number line and answer the following: (a) Which number will we reach if we move 4 numbers to the right of − 2. (b) Which number will we reach if we move 5 numbers to the left of 1. (c) If we are at − 8 on the number line, in which direction should we move to reach − 13? (d) If we are at − 6 on the number line, in which direction should we move to reach − 1?

3072.

Draw anumber line and answer the following:(a) Whichnumber will we reach if we move 4 numbers to the right of − 2.(b) Whichnumber will we reach if we move 5 numbers to the left of 1.(c) If we are at − 8 on the number line, in which directionshould we move to reach − 13?(d) If we are at − 6 on the number line, in which directionshould we move to reach − 1?

Answer»

Draw a
number line and answer the following:

(a) Which
number will we reach if we move 4 numbers to the right of − 2.

(b) Which
number will we reach if we move 5 numbers to the left of 1.

(c) If we are at − 8 on the number line, in which direction
should we move to reach − 13?

(d) If we are at − 6 on the number line, in which direction
should we move to reach − 1?

Discussion

3073.	Add the product of (-13) and (-17) to the quotient of (-187) and 11.
Answer» Add the product of (-13) and (-17) to the quotient of (-187) and 11.

Discussion

3074.	Question 69Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:p is divided by 11 and the result is added to 10.
Answer» Question 69 Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement: p is divided by 11 and the result is added to 10.

3074.

Question 69Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:p is divided by 11 and the result is added to 10.

Answer»

Question 69

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

p is divided by 11 and the result is added to 10.

Discussion

3075.	Question 6In the figure, find the value of x for which the lines l and m are parallel.
Answer» Question 6 In the figure, find the value of x for which the lines l and m are parallel.

Discussion

3076.	A pattern is made using matchsticks. What is the number of matchsticks needed to create the next member in the pattern? [3 MARKS]
Answer» A pattern is made using matchsticks. What is the number of matchsticks needed to create the next member in the pattern? [3 MARKS]

Discussion

3077.	the numberof five digit telephone numbers having at least one of their digits repeated is.
Answer» the numberof five digit telephone numbers having at least one of their digits repeated is.

Discussion

3078.	Find the value of 25×109−85+109×75.
Answer» Find the value of $\frac{2}{5} \times \frac{10}{9} - \frac{8}{5} + \frac{10}{9} \times \frac{7}{5}$ .

Discussion

3079.	You go to Pizza Hut along with five of your friends and order one large pizza. What will be each one's share assuming each of you have the same number of slices?
Answer» You go to Pizza Hut along with five of your friends and order one large pizza. What will be each one's share assuming each of you have the same number of slices?

Discussion

3080.	Joe went to the market with ₹1000. He bought a shirt for ₹375. How much money is left with him? Estimate an approximate value by rounding off to the nearest hundred.
Answer» Joe went to the market with ₹1000. He bought a shirt for ₹375. How much money is left with him? Estimate an approximate value by rounding off to the nearest hundred.

Discussion

3081.	In a village six fruit merchants sold the following number of fruit baskets in a particular season:Observe this pictograph and answer the following question:How many fruit baskets were sold by Anwar?
Answer» In a village six fruit merchants sold the following number of fruit baskets in a particular season: Observe this pictograph and answer the following question: How many fruit baskets were sold by Anwar?

3081.

In a village six fruit merchants sold the following number of fruit baskets in a particular season:Observe this pictograph and answer the following question:How many fruit baskets were sold by Anwar?

Answer»

In a village six fruit merchants sold the following number of fruit baskets in a particular season:

Observe this pictograph and answer the following question:

How many fruit baskets were sold by Anwar?

Discussion

3082.	What is the ratio of the first odd prime number to the first even composite number?
Answer» What is the ratio of the first odd prime number to the first even composite number?

Discussion

3083.	Derive the angle sum property of the triangle using the exterior angle property of the triangle. [4 MARKS]
Answer» Derive the angle sum property of the triangle using the exterior angle property of the triangle. [4 MARKS]

Discussion

3084.	Find x in the following cases :(1) (2)
Answer» Find x in the following cases : (1) (2)

Discussion

3085.	Following is the choice of sweets of 30 students of Class VI.Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo.(a) Arrange the names of sweets in a table using tally marks. (b) Which sweet is preferred by most of the students?
Answer» Following is the choice of sweets of 30 students of Class VI. Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo. (a) Arrange the names of sweets in a table using tally marks. (b) Which sweet is preferred by most of the students?

Discussion

3086.	Question 61 Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement: Omar helps his mother 1 hour more than his sister does.
Answer» Question 61 Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement: Omar helps his mother 1 hour more than his sister does.

3086.

Question 61 Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement: Omar helps his mother 1 hour more than his sister does.

Answer»

Question 61

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

Omar helps his mother 1 hour more than his sister does.

Discussion

3087.	If ∆ is an operation on integers such that a ∆ b = a − b − 2, for all integers a, b. Then, 7 ∆ (− 4) =(a) 11 (b) − 9 (c) 9 (d) 1
Answer» If ∆ is an operation on integers such that a ∆ b = a − b − 2, for all integers a, b. Then, 7 ∆ (− 4) = (a) 11 (b) − 9 (c) 9 (d) 1

Discussion

3088.	Mark the correct alternative in each of the following:If the difference of an integer a and (−9) is 5, then a =(a) 4 (b) 5 (c) −4 (d) −9
Answer» Mark the correct alternative in each of the following: If the difference of an integer a and (−9) is 5, then a = (a) 4 (b) 5 (c) −4 (d) −9

Discussion

3089.	13 coins needs to be arranged into tens and ones. What will be the correct option?
Answer» 13 coins needs to be arranged into tens and ones. What will be the correct option?

Discussion

3090.	Write the following statements in conditional form.(i) Every rhombus is a square.(ii) Angles in a linear pair are supplementary.(iii) A triangle is a figure formed by three segments.(iv) A number having only two divisors is called a prime number.
Answer» Write the following statements in conditional form. (i) Every rhombus is a square. (ii) Angles in a linear pair are supplementary. (iii) A triangle is a figure formed by three segments. (iv) A number having only two divisors is called a prime number.

Discussion

3091.	Sachin scored 70 and 75 runs in the first two matches. Plot the minimum runs he should score in the third match on a number line so that he should have an average greater than 60 runs.
Answer» Sachin scored 70 and 75 runs in the first two matches. Plot the minimum runs he should score in the third match on a number line so that he should have an average greater than 60 runs.

Discussion

3092.	Joy travelled a distance of five and two tenths of a kilometer in his journey by train and a distance of twenty one hundredth of a kilometer by car. The total distance(in km) covered by Joy is
Answer» Joy travelled a distance of five and two tenths of a kilometer in his journey by train and a distance of twenty one hundredth of a kilometer by car. The total distance(in km) covered by Joy is

Discussion

3093.	In the adjoining figure, each angle is shown by a letter. Fill in the boxes with the help of the figure.Corresponding angles.(1) ∠p and ☐(2) ∠q and ☐(3) ∠r and ☐(4) ∠s and ☐Interior alternate angles.(5) ∠s and ☐(6) ∠w and ☐
Answer» In the adjoining figure, each angle is shown by a letter. Fill in the boxes with the help of the figure. Corresponding angles. (1) ∠p and ☐ (2) ∠q and ☐ (3) ∠r and ☐ (4) ∠s and ☐ Interior alternate angles. (5) ∠s and ☐ (6) ∠w and ☐

Discussion

3094.	Word problem The numerator of a fraction is 6 less than the denominator. If 3 is added to the numerator, the fraction is equal to 2/3. Find the actual fraction.
Answer» Word problem The numerator of a fraction is 6 less than the denominator. If 3 is added to the numerator, the fraction is equal to 2/3. Find the actual fraction.

3094.

Word problem The numerator of a fraction is 6 less than the denominator. If 3 is added to the numerator, the fraction is equal to 2/3. Find the actual fraction.

Answer»

Word problem

The numerator of a fraction is 6 less than the denominator. If 3 is added to the numerator, the fraction is equal to 2/3. Find the actual fraction.

Discussion

3095.	The diameter and height of a cylinder are measured by a meter scale to be 12.6 + 0.1 cm and 34.2 +0.1 cm respectively. What will be the value of its volume in appropriate significant figures?a) 4300+ 80 cm3 b) 4260+ 80 cm3c) 4264.4+ 81.0 cm3 d) 4264+ 81 cm3
Answer» The diameter and height of a cylinder are measured by a meter scale to be 12.6 + 0.1 cm and 34.2 + 0.1 cm respectively. What will be the value of its volume in appropriate significant figures? a) 4300+ 80 cm3 b) 4260+ 80 cm3 c) 4264.4+ 81.0 cm3 d) 4264+ 81 cm3

Discussion

3096.	The number of hours for which students of a particular class watched television during holidays is shown in the given graph.We draw the histogram for above frequency table:Answer the following:For how many hours did the maximum number of students watch T.V?
Answer» The number of hours for which students of a particular class watched television during holidays is shown in the given graph. We draw the histogram for above frequency table: Answer the following: For how many hours did the maximum number of students watch T.V?

Discussion

3097.	From the graph identify the fruit that has same sales on both Monday and Tuesday.
Answer» From the graph identify the fruit that has same sales on both Monday and Tuesday.

3097.

From the graph identify the fruit that has same sales on both Monday and Tuesday.

Answer»

From the graph identify the fruit that has same sales on both Monday and Tuesday.

Discussion

3098.	What is the rule that gives the number of matchsticks in terms of the number of triangles, as shown in the figures below?
Answer» What is the rule that gives the number of matchsticks in terms of the number of triangles, as shown in the figures below?

Discussion

3099.	Following graph shows monthly expenditure (in ₹) of a family.What was the total expenditure in the month of January, March and October?
Answer» Following graph shows monthly expenditure (in ₹) of a family. What was the total expenditure in the month of January, March and October?

3099.

Following graph shows monthly expenditure (in ₹) of a family.What was the total expenditure in the month of January, March and October?

Answer»

Following graph shows monthly expenditure (in ₹) of a family.

What was the total expenditure in the month of January, March and October?

Discussion

3100.	What is the value of 3x + (-3x)?
Answer» What is the value of 3x + (-3x)?

Discussion

Explore topic-wise InterviewSolutions in .

Which of the following is the most simplified form of 2√3+√4+(√12−√7) ?

estimate: 5,987-137

Question 34 State whether the given statement is True or False. If the arms of an angle on the paper are decreased, the angle decreases.

Let L1 be the line →r1=2→i+→j−→k+ λ(→i+2→k) and let L2 be the line →r2= 3→i+→j+μ(→i+→j−→k). Let π be the plane which contain the line L1 and is parallel to L2. The distance of the plane π from origin is

Question 90 In a village, there are 8 water tanks to collect rainwater. On a particular day,x litres of rainwater is collected per tank. If 100 litres of water was already there in one of the tanks, then what is the total amount of water in the tanks on that day?

If perimeter and length of a rectangle are 70 cm and 20 cm respectively, then area of the rectangle will be .

A Hill, 101 13 m in height, has 14th of its height underwater, what is the height of the hill visible above the water?

Question 3Which are prisms among the following:

The number of 4 letter code that can be formed by using the first 10 letters of the English alphabet is αβγδ. If no letter is repeated, then

If (32)x=(4100)y, then the value of ((y−x)(y+x)) is:

Woody drinks 23 of a bottle and little Coco drinks 14 of a bottle. How much do Woody and drink together?

The angle which is less than 90∘ is known as a/an :

What angle is greater than 90 degrees, but less than 180 degrees?

Mia hopes to visit all 26 states of Brazil. So far, she has visited 413 of the states. How many states has Mia visited?

What is the sum of 323+754 ?

Alex is three times as old as Rita. Three years later, Alex will be two times as old as Rita. Alex's present age is years.

Find the length of the rectangle whose area and breadth are 40x2y3 and 8xy2, respectively.

Construct an angle of 105 degree.

Solve the equation : p6=−512

How to solve a subtraction bproblem in integers? Eg. 89 from -3

A cloth is 3 yd long out of which 12 inches are removed as scrap. The useful length of the cloth is inches.

Add the product of (-13) and (-17) to the quotient of (-187) and 11.

Question 69Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:p is divided by 11 and the result is added to 10.

Question 6In the figure, find the value of x for which the lines l and m are parallel.

A pattern is made using matchsticks. What is the number of matchsticks needed to create the next member in the pattern? [3 MARKS]

the numberof five digit telephone numbers having at least one of their digits repeated is.

Find the value of 25×109−85+109×75.

You go to Pizza Hut along with five of your friends and order one large pizza. What will be each one's share assuming each of you have the same number of slices?

Joe went to the market with ₹1000. He bought a shirt for ₹375. How much money is left with him? Estimate an approximate value by rounding off to the nearest hundred.

In a village six fruit merchants sold the following number of fruit baskets in a particular season:Observe this pictograph and answer the following question:How many fruit baskets were sold by Anwar?

What is the ratio of the first odd prime number to the first even composite number?

Derive the angle sum property of the triangle using the exterior angle property of the triangle. [4 MARKS]

Find x in the following cases :(1) (2)

Question 61 Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement: Omar helps his mother 1 hour more than his sister does.

If ∆ is an operation on integers such that a ∆ b = a − b − 2, for all integers a, b. Then, 7 ∆ (− 4) =(a) 11 (b) − 9 (c) 9 (d) 1

Mark the correct alternative in each of the following:If the difference of an integer a and (−9) is 5, then a =(a) 4 (b) 5 (c) −4 (d) −9

13 coins needs to be arranged into tens and ones. What will be the correct option?

Write the following statements in conditional form.(i) Every rhombus is a square.(ii) Angles in a linear pair are supplementary.(iii) A triangle is a figure formed by three segments.(iv) A number having only two divisors is called a prime number.

Sachin scored 70 and 75 runs in the first two matches. Plot the minimum runs he should score in the third match on a number line so that he should have an average greater than 60 runs.

Joy travelled a distance of five and two tenths of a kilometer in his journey by train and a distance of twenty one hundredth of a kilometer by car. The total distance(in km) covered by Joy is

In the adjoining figure, each angle is shown by a letter. Fill in the boxes with the help of the figure.Corresponding angles.(1) ∠p and ☐(2) ∠q and ☐(3) ∠r and ☐(4) ∠s and ☐Interior alternate angles.(5) ∠s and ☐(6) ∠w and ☐

Word problem The numerator of a fraction is 6 less than the denominator. If 3 is added to the numerator, the fraction is equal to 2/3. Find the actual fraction.

The diameter and height of a cylinder are measured by a meter scale to be 12.6 + 0.1 cm and 34.2 +0.1 cm respectively. What will be the value of its volume in appropriate significant figures?a) 4300+ 80 cm3 b) 4260+ 80 cm3c) 4264.4+ 81.0 cm3 d) 4264+ 81 cm3

The number of hours for which students of a particular class watched television during holidays is shown in the given graph.We draw the histogram for above frequency table:Answer the following:For how many hours did the maximum number of students watch T.V?

From the graph identify the fruit that has same sales on both Monday and Tuesday.

What is the rule that gives the number of matchsticks in terms of the number of triangles, as shown in the figures below?

Following graph shows monthly expenditure (in ₹) of a family.What was the total expenditure in the month of January, March and October?

What is the value of 3x + (-3x)?