19743 + Interview Questions in Mathematics Page 42 InterviewSolution

2051.	Question 127(iii)An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop.So, she will be at 12 after one hop, 34 after two hops and so on.Will the insect ever get to 1? Explain.
Answer» Question 127(iii) An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop. So, she will be at $\frac{1}{2}$ after one hop, $\frac{3}{4}$ after two hops and so on. Will the insect ever get to 1? Explain.

2051.

Question 127(iii)An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop.So, she will be at 12 after one hop, 34 after two hops and so on.Will the insect ever get to 1? Explain.

Answer»

Question 127(iii)

An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop.

So, she will be at $\frac{1}{2}$ after one hop, $\frac{3}{4}$ after two hops and so on.

Will the insect ever get to 1? Explain.

2053.	Write true (T) or false (F) for the following statements and give reason.(i) The number of digits in a square of any number is even.(ii) The square of the prime number is prime.(iii) The product of two square numbers is a square number.
Answer» Write true (T) or false (F) for the following statements and give reason. (i) The number of digits in a square of any number is even. (ii) The square of the prime number is prime. (iii) The product of two square numbers is a square number.

2056.	Sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm.Find its area. [3 MARKS]
Answer» Sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm.Find its area. [3 MARKS]

2057.	The bar graph shows the usual method of transport to school for the students in a class. How many students are there altogether in the class?
Answer» The bar graph shows the usual method of transport to school for the students in a class. How many students are there altogether in the class?

2058.	Match the following numbers with their corresponding powers.
Answer» Match the following numbers with their corresponding powers.

2059.	If n is an odd no. And n1 thenprove that (n.n2-1/2.n2+1/2) is a pythogoream tripleto. write two phythgoream triplet by substituting value ofn
Answer» If n is an odd no. And n1 thenprove that (n.n2-1/2.n2+1/2) is a pythogoream tripleto. write two phythgoream triplet by substituting value ofn

2060.	Write two equivalent ratios of 18∶12
Answer» Write two equivalent ratios of 18∶12

2062.	Question 3The sides of a triangle are 56m, 60cm and 52cm long. The area of the triangle is
Answer» Question 3 The sides of a triangle are 56m, 60cm and 52cm long. The area of the triangle is

2063.	Out of 100 sour candies, 20 were red in color, then the percentage of red candies is
Answer» Out of 100 sour candies, 20 were red in color, then the percentage of red candies is

2065.	Evaluate (√484−√441)2 using prime factorization.
Answer» Evaluate $(\sqrt{484} - \sqrt{441})^{2}$ using prime factorization.

2066.	In a fair deck of playing cards, the probability of picking a numbered card is
Answer» In a fair deck of playing cards, the probability of picking a numbered card is

2068.	Ava ran 11 km in 100 minutes at same speed. Find out the distance he ran in 10 minutes.
Answer» Ava ran $11 km$ in $100 minutes$ at same speed. Find out the distance he ran in $10 minutes .$

2069.	How many perpendicular can a triangle can have?
Answer» How many perpendicular can a triangle can have?

2070.	Using the statements below, find out the value of x.i) The L.C.M of x and 18 is 36.ii) The H.C.F of x and 18 is 2. 4
Answer» Using the statements below, find out the value of x. i) The L.C.M of x and 18 is 36. ii) The H.C.F of x and 18 is 2. 4

2071.	Question 76(i) The bar graph given below represents the circulation of newspapers (dailies) in a town in six languages (the figures are approximated to hundreds). Study the bar graph and answer the following questions : Find the total number of newspapers read in Hindi, Punjabi, Urdu, Marathi and Tamil.
Answer» Question 76(i) The bar graph given below represents the circulation of newspapers (dailies) in a town in six languages (the figures are approximated to hundreds). Study the bar graph and answer the following questions : Find the total number of newspapers read in Hindi, Punjabi, Urdu, Marathi and Tamil.

2072.	Solve: x−43+2x−335=5x−329−x+928.
Answer» Solve: $\frac{x - 4}{3} + \frac{2 x - 3}{35} = \frac{5 x - 32}{9} - \frac{x + 9}{28}$ .

2073.	In two triangles, if a pair of corresponding angles and the side included between the angles are equal, then the triangles are congruent by ___.
Answer» In two triangles, if a pair of corresponding angles and the side included between the angles are equal, then the triangles are congruent by ___.

2074.	The measure of ∠TUS in the above figure is
Answer» The measure of $∠ T U S$ in the above figure is

2075.	Find the complement of 72°
Answer» Find the complement of 72°

2076.	Draw a right angle and construct its bisector. Write the steps of construction also.
Answer» Draw a right angle and construct its bisector. Write the steps of construction also.

2077.	If the cost price of 15 pens is equal to the selling price of 20 pens, then the loss percent is(a) 25%(b) 20%(c) 15%(d) 10%
Answer» If the cost price of 15 pens is equal to the selling price of 20 pens, then the loss percent is (a) 25% (b) 20% (c) 15% (d) 10%

2078.	If A = {1, 8, 27} and B ={x:x=n3,n∈N,n<4}, then
Answer» If A = {1, 8, 27} and B = ${x : x = n^{3}, n \in N, n < 4}$ , then

2079.	If the lowest temperature in Gulmarg in Kashmir was −10∘C in January and in summer the temperature rose by 43∘C and reached the maximum temperature, what was the maximum temperature that year?
Answer» If the lowest temperature in Gulmarg in Kashmir was $- 10^{\circ} C$ in January and in summer the temperature rose by $43^{\circ} C$ and reached the maximum temperature, what was the maximum temperature that year?

2080.	There are 40 bottles and in that 20 bottles are red in colour. What fraction of the total number of bottles are red in colour?
Answer» There are 40 bottles and in that 20 bottles are red in colour. What fraction of the total number of bottles are red in colour?

2081.	Juhi sells a washing machine for Rs 13, 500. She loses 20% in the bargain. What was the price at which she bought it?
Answer» Juhi sells a washing machine for Rs 13, 500. She loses 20% in the bargain. What was the price at which she bought it?

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Question 127(iii)An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop.So, she will be at 12 after one hop, 34 after two hops and so on.Will the insect ever get to 1? Explain.

Question 74Can we have two acute angles whose sum isa) an acute angle? Why or Why not?b) a right angle? Why or Why not?c) an obtuse angle? Why or Why not?d) a straight angle? Why or Why not?e) a reflex angle? Why or Why not?

Write true (T) or false (F) for the following statements and give reason.(i) The number of digits in a square of any number is even.(ii) The square of the prime number is prime.(iii) The product of two square numbers is a square number.

Question 15 Which of the following equations cannot be formed using the equation x = 7 (a) 2x + 1 = 15 (b) 7x - 1 = 50 (c) x - 3 = 4 (d) x7−1=0

Find the perimeter of the figures given below.(1)(2)(3) (4)

Sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm.Find its area. [3 MARKS]

The bar graph shows the usual method of transport to school for the students in a class. How many students are there altogether in the class?

Match the following numbers with their corresponding powers.

If n is an odd no. And n1 thenprove that (n.n2-1/2.n2+1/2) is a pythogoream tripleto. write two phythgoream triplet by substituting value ofn

Write two equivalent ratios of 18∶12

Question 3The sides of a triangle are 56m, 60cm and 52cm long. The area of the triangle is

Out of 100 sour candies, 20 were red in color, then the percentage of red candies is

Categorize the following expressions based on the number of terms. a)u2v+2uuv−7uv2b)6x3yz2c)3s2+st+3t3

Evaluate (√484−√441)2 using prime factorization.

In a fair deck of playing cards, the probability of picking a numbered card is

Constructan isosceles triangle in which the lengths of each of its equal sidesis 6.5 cmand the angle between them is 110°.

Ava ran 11 km in 100 minutes at same speed. Find out the distance he ran in 10 minutes.

How many perpendicular can a triangle can have?

Using the statements below, find out the value of x.i) The L.C.M of x and 18 is 36.ii) The H.C.F of x and 18 is 2. 4

Solve: x−43+2x−335=5x−329−x+928.

In two triangles, if a pair of corresponding angles and the side included between the angles are equal, then the triangles are congruent by ___.

The measure of ∠TUS in the above figure is

Find the complement of 72°

Draw a right angle and construct its bisector. Write the steps of construction also.

If the cost price of 15 pens is equal to the selling price of 20 pens, then the loss percent is(a) 25%(b) 20%(c) 15%(d) 10%

If A = {1, 8, 27} and B ={x:x=n3,n∈N,n&lt;4}, then

If the lowest temperature in Gulmarg in Kashmir was −10∘C in January and in summer the temperature rose by 43∘C and reached the maximum temperature, what was the maximum temperature that year?

There are 40 bottles and in that 20 bottles are red in colour. What fraction of the total number of bottles are red in colour?

Juhi sells a washing machine for Rs 13, 500. She loses 20% in the bargain. What was the price at which she bought it?

If a 3D solid has 8 faces and 8 vertices, find the number of edges in it.

Question 88 (xvi)Factorise the following expression.(ax2y−bxyz−ax2z+bxy2

State which of the following are finite sets or infinite.In case of a finite set ,mention the order/cardinal number (i) A={x:x is prime number}(ii) B={x:x€R,x^2-8x-20=0}(iii)C={x:x€N,x^3-1=0}(iv) D={x:x€N,5x+2=11

Question 5In the given figure, if PQ⊥PS,PQ||SR,∠SQR=28∘ and ∠QRT=65∘, then find the values of x and y.

The sides of a triangle are in the ratio 3 : 4 : 5. The longest side is 12 cm more than the shortest side.Find the length of the shortest side.

Question 50 Fill in the blanks to make the statement true. The ___ triangle always has altitude outside itself.

The simple interest obtained on a sum of ₹5000 for 3 years is ₹1500. Find the rate percent.​

Let Sn and S'4 denote respectively the sum and the sum of the squares of first n natural numbers. If an=Sn'Sn, n∈N. Then a1, a2, a3,_____, an, _____ forms an ______ with ______ .

Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find ratio of :a) Number of students liking football to number of students liking tennisb) The number of students liking cricket to the total number of students

Division of a fraction “A” by a whole number “p” is the same as multiplying the fraction with the __ of “p”.

Solve using suitable property, state the property used.8 x 5 x 125 x 20 x 6

the numbers(25-x),34,(59-x) and 102 are in proportion . Find X

The digits on the opposite faces of the dice add up to 7.Which digit will we see if we turn dice in the left direction once? (Assume 6 is the front view of the dice)

Question 1(ii) Find the value of: (ii) 93

Match the following with its respective equivalent form:

What is the fraction of the area shaded purple in the given square if all the strips of purple and white are of equal width?

Question 2In a polynomial, the exponents of the variables are alwaysa) integersb) positive integersc) non-negative integersd) non-positive integers

If A = {1, 8, 27} and B ={x:x=n3,n∈N,n<4}, then

The simple interest obtained on a sum of ₹5000 for 3 years is ₹1500. Find the rate percent.

Let Sn and S'4 denote respectively the sum and the sum of the squares of first n natural numbers. If an=Sn'Sn, n∈N. Then a1, a2, a3,___, an, _ forms an with __ .

2082.	If a 3D solid has 8 faces and 8 vertices, find the number of edges in it.
Answer» If a 3D solid has 8 faces and 8 vertices, find the number of edges in it.

2083.	Question 88 (xvi)Factorise the following expression.(ax2y−bxyz−ax2z+bxy2
Answer» Question 88 (xvi) Factorise the following expression. $(a x^{2} y - b x y z - a x^{2} z + b x y^{2}$

2084.	State which of the following are finite sets or infinite.In case of a finite set ,mention the order/cardinal number (i) A={x:x is prime number}(ii) B={x:x€R,x^2-8x-20=0}(iii)C={x:x€N,x^3-1=0}(iv) D={x:x€N,5x+2=11
Answer» State which of the following are finite sets or infinite.In case of a finite set ,mention the order/cardinal number (i) A={x:x is prime number} (ii) B={x:x€R,x^2-8x-20=0} (iii)C={x:x€N,x^3-1=0} (iv) D={x:x€N,5x+2=11

2085.	Question 5In the given figure, if PQ⊥PS,PQ\|\|SR,∠SQR=28∘ and ∠QRT=65∘, then find the values of x and y.
Answer» Question 5 In the given figure, if $P Q ⊥ P S, P Q \| \| S R, ∠ S Q R = 28^{\circ}$ and $∠ Q R T = 65^{\circ}$ , then find the values of x and y.

2090.	The simple interest obtained on a sum of ₹5000 for 3 years is ₹1500. Find the rate percent.
Answer» The simple interest obtained on a sum of ₹5000 for 3 years is ₹1500. Find the rate percent.

2091.	Let Sn and S'4 denote respectively the sum and the sum of the squares of first n natural numbers. If an=Sn'Sn, n∈N. Then a1, a2, a3,_____, an, _____ forms an ______ with ______ .
Answer» Let S_n and S'₄ denote respectively the sum and the sum of the squares of first n natural numbers. If $a_{n} = \frac{S_{n}'}{S_{n}}, n \in N .$ Then a₁, a₂, a₃,_____, a_n, _____ forms an ______ with ______ .

2093.	Division of a fraction “A” by a whole number “p” is the same as multiplying the fraction with the __ of “p”.
Answer» Division of a fraction “A” by a whole number “p” is the same as multiplying the fraction with the __ of “p”.

2095.	the numbers(25-x),34,(59-x) and 102 are in proportion . Find X
Answer» the numbers(25-x),34,(59-x) and 102 are in proportion . Find X

2096.	The digits on the opposite faces of the dice add up to 7.Which digit will we see if we turn dice in the left direction once? (Assume 6 is the front view of the dice)
Answer» The digits on the opposite faces of the dice add up to 7. Which digit will we see if we turn dice in the left direction once? (Assume 6 is the front view of the dice)

2097.	Question 1(ii) Find the value of: (ii) 93
Answer» Question 1(ii) Find the value of: (ii) $9^{3}$