25365 + Interview Questions in Mathematics Page 107 InterviewSolution

5301.	Find the value of ‘x’, when 3x=√39.
Answer» Find the value of ‘x’, when $3^{x} = \frac{\sqrt{3}}{9}$ .

Discussion

5302.	19¹³-7¹³-12 will necessarily divisible by:i) 13 ii) 97 ii) 36 iv) 101
Answer» 19¹³-7¹³-12 will necessarily divisible by: i) 13 ii) 97 ii) 36 iv) 101

Discussion

5303.	Simplify: (220÷215)×23
Answer» Simplify: $(2^{20} \div 2^{15}) \times 2^{3}$

Discussion

5304.	Question 4Construct the Rhombus BEST whereBE = 4.5 cm, ET = 6 cm
Answer» Question 4 Construct the Rhombus BEST where BE = 4.5 cm, ET = 6 cm

Discussion

5305.	Ganga Ltd. purchased a machinery on January 01, 2014 for Rs 5,50,000 and spent Rs 50,000 on its installation. On September 01, 2014 it purchased another machine for Rs 3,70,000. On May 01, 2016 it purchased another machine for Rs 8,40,000 (including installation expenses).Depreciation was provided on machinery 10% p.a. on original cost method annually on December 31. Prepare:(a) Machinery account and depreciation account for the years 2014, 2015, 2016 and 2017.(b) If depreciation is accumulated in provision for Depreciation account then prepare machine account and provision for depreciation account for the years 2014, 2015, 2016 and 2017.
Answer» Ganga Ltd. purchased a machinery on January 01, 2014 for Rs 5,50,000 and spent Rs 50,000 on its installation. On September 01, 2014 it purchased another machine for Rs 3,70,000. On May 01, 2016 it purchased another machine for Rs 8,40,000 (including installation expenses). Depreciation was provided on machinery 10% p.a. on original cost method annually on December 31. Prepare: (a) Machinery account and depreciation account for the years 2014, 2015, 2016 and 2017. (b) If depreciation is accumulated in provision for Depreciation account then prepare machine account and provision for depreciation account for the years 2014, 2015, 2016 and 2017.

5305.

Ganga Ltd. purchased a machinery on January 01, 2014 for Rs 5,50,000 and spent Rs 50,000 on its installation. On September 01, 2014 it purchased another machine for Rs 3,70,000. On May 01, 2016 it purchased another machine for Rs 8,40,000 (including installation expenses).Depreciation was provided on machinery 10% p.a. on original cost method annually on December 31. Prepare:(a) Machinery account and depreciation account for the years 2014, 2015, 2016 and 2017.(b) If depreciation is accumulated in provision for Depreciation account then prepare machine account and provision for depreciation account for the years 2014, 2015, 2016 and 2017.

Answer»

Ganga Ltd. purchased a machinery on January 01, 2014 for Rs 5,50,000 and spent Rs 50,000 on its installation. On September 01, 2014 it purchased another machine for Rs 3,70,000. On May 01, 2016 it purchased another machine for Rs 8,40,000 (including installation expenses).

Depreciation was provided on machinery 10% p.a. on original cost method annually on December 31. Prepare:

(a) Machinery account and depreciation account for the years 2014, 2015, 2016 and 2017.

(b) If depreciation is accumulated in provision for Depreciation account then prepare machine account and provision for depreciation account for the years 2014, 2015, 2016 and 2017.

Discussion

5306.	x3−144x=? (a) x(x−12)2 (b) x(x+12)2 (c) x(x-12)(x+12) (d) none of these
Answer» $x^{3} - 144 x = ?$ (a) $x (x - 12)^{2}$ (b) $x (x + 12)^{2}$ (c) x(x-12)(x+12) (d) none of these

5306.

x3−144x=? (a) x(x−12)2 (b) x(x+12)2 (c) x(x-12)(x+12) (d) none of these

Answer»

$x^{3} - 144 x = ?$

(a) $x (x - 12)^{2}$

(b) $x (x + 12)^{2}$

(c) x(x-12)(x+12)

(d) none of these

Discussion

5307.	State whether the following statements are true or false:(a) The set of all even natural numbers is a infinite set.(b) Every non-empty subset of has the smallest element.(c) Every integer can be identified with a rational number.(d) For each rational number, one can find the next rational number.(e)There is no largest rational number.(f) Every integer is either even or odd.(g) Between any two rational numbers, there is an integer.
Answer» State whether the following statements are true or false: (a) The set of all even natural numbers is a infinite set. (b) Every non-empty subset of has the smallest element. (c) Every integer can be identified with a rational number. (d) For each rational number, one can find the next rational number. (e)There is no largest rational number. (f) Every integer is either even or odd. (g) Between any two rational numbers, there is an integer.

5307.

State whether the following statements are true or false:(a) The set of all even natural numbers is a infinite set.(b) Every non-empty subset of has the smallest element.(c) Every integer can be identified with a rational number.(d) For each rational number, one can find the next rational number.(e)There is no largest rational number.(f) Every integer is either even or odd.(g) Between any two rational numbers, there is an integer.

Answer»

State whether the following statements are true or false:

(a) The set of all even natural numbers is a infinite set.

(b) Every non-empty subset of has the smallest element.

(c) Every integer can be identified with a rational number.

(d) For each rational number, one can find the next rational number.

(e)There is no largest rational number.

(f) Every integer is either even or odd.

(g) Between any two rational numbers, there is an integer.

Discussion

5308.	During 2003, the production of a factory decreased by 25%. But, during 2004, it (production) increased by 40% of what it was at the beginning of 2004. Calculate the resulting change (increase or decrease) in production during these two years.
Answer» During 2003, the production of a factory decreased by 25%. But, during 2004, it (production) increased by 40% of what it was at the beginning of 2004. Calculate the resulting change (increase or decrease) in production during these two years.

Discussion

5309.	Question 77The probability of getting number 6 in a throw of a die is 16. Similarly, the probability of getting a number 5 is 15.
Answer» Question 77 The probability of getting number 6 in a throw of a die is $\frac{1}{6} .$ Similarly, the probability of getting a number 5 is $\frac{1}{5} .$

5309.

Question 77The probability of getting number 6 in a throw of a die is 16. Similarly, the probability of getting a number 5 is 15.

Answer»

Question 77

The probability of getting number 6 in a throw of a die is $\frac{1}{6} .$ Similarly, the probability of getting a number 5 is $\frac{1}{5} .$

Discussion

5310.	a number is twice another number. if their sum is 96 , what are the numbers ?
Answer» a number is twice another number. if their sum is 96 , what are the numbers ?

Discussion

5311.	In the given figure, l \|\| m and a transversal t cuts them. If ∠1 : ∠2 = 2 : 3, find the measure of each of the marked angles.
Answer» In the given figure, l \|\| m and a transversal t cuts them. If ∠1 : ∠2 = 2 : 3, find the measure of each of the marked angles.

Discussion

5312.	The manufacturing price of a t v set is 12000 rupees. The company sold it to a dealer at 20 percent profit and the dealer sold it to a customer at 12.5 percent profit. Find the price which the customer has to pay
Answer» The manufacturing price of a t v set is 12000 rupees. The company sold it to a dealer at 20 percent profit and the dealer sold it to a customer at 12.5 percent profit. Find the price which the customer has to pay

Discussion

5313.	How many significant figures are there in 0.310×105 m ?
Answer» How many significant figures are there in $0.310 \times 10^{5} m$ ?

Discussion

5314.	इस कहानी में लोक प्रचलित मुहावरों की भरमार है, जैसे- नानी मरना, छक्के छूटना आदि। इसमें आए मुहावरों की एक सूची तैयार कीजिए।
Answer» इस कहानी में लोक प्रचलित मुहावरों की भरमार है, जैसे- नानी मरना, छक्के छूटना आदि। इसमें आए मुहावरों की एक सूची तैयार कीजिए।

Discussion

5315.	The sum of all exterior angles of a polygon is ______ degrees.
Answer» The sum of all exterior angles of a polygon is ______ degrees.

Discussion

5316.	Question 3: Draw rough diagrams of two angles such that they have: (a) Three points in common
Answer» Question 3: Draw rough diagrams of two angles such that they have: (a) Three points in common

Discussion

5317.	Question 35State whether the statement is true (T) or false (F).In a 2-digit number, the unit's place digit is x. If the sum of the digits be 9, then the number is (10x-9).
Answer» Question 35 State whether the statement is true (T) or false (F). In a 2-digit number, the unit's place digit is x. If the sum of the digits be 9, then the number is (10x-9).

5317.

Question 35State whether the statement is true (T) or false (F).In a 2-digit number, the unit's place digit is x. If the sum of the digits be 9, then the number is (10x-9).

Answer»

Question 35

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

In a 2-digit number, the unit's place digit is x. If the sum of the digits be 9, then the number is (10x-9).

Discussion

5318.	The product of a monomial and a binomial is always a ________.
Answer» The product of a monomial and a binomial is always a ________.

Discussion

5319.	If a2+1a2 =102, find the value of a-1a.
Answer» If $a^{2} + \frac{1}{a^{2}} = 102$ , find the value of $a - \frac{1}{a}$ .

Discussion

5320.	The area of a scalene triangle with sides 32 cm, 34 cm and 34 cm is
Answer» The area of a scalene triangle with sides 32 cm, 34 cm and 34 cm is

Discussion

5321.	When constructing a trapezium if 2 sides are given, a minimum of how many angles need to be provided? __
Answer» When constructing a trapezium if 2 sides are given, a minimum of how many angles need to be provided? __

Discussion

5322.	Sum of three consecutive numbers is 48. Find the numbers.
Answer» Sum of three consecutive numbers is 48. Find the numbers.

Discussion

5323.	Which of the following mathematical statements is/are wrong?
Answer» Which of the following mathematical statements is/are wrong?

Discussion

5324.	In a class there are 10 men and 20 women. Out of them half of the number of men and half of the number of women have brown eyes. Out of them if a person is chosen at random, the chance that for the person chosen to be a man or brown eyed person is
Answer» In a class there are $10$ men and $20$ women. Out of them half of the number of men and half of the number of women have brown eyes. Out of them if a person is chosen at random, the chance that for the person chosen to be a man or brown eyed person is

Discussion

5325.	Question 8The number of planks of dimensions (4m×50cm×20cm) that can be stored in a pit which is 16 m long, 12 m wide and 4 m deep is:A) 1900B) 1920C) 1800D) 1840
Answer» Question 8 The number of planks of dimensions $(4 m \times 50 c m \times 20 c m)$ that can be stored in a pit which is 16 m long, 12 m wide and 4 m deep is: A) 1900 B) 1920 C) 1800 D) 1840

Discussion

5326.	4 students decide to stand one behind the other. If they have no preference regarding their position, in how many ways can they order themselves in a line?
Answer» $4$ students decide to stand one behind the other. If they have no preference regarding their position, in how many ways can they order themselves in a line?

Discussion

5327.	Square root of 324 is ______ .
Answer» Square root of 324 is ______ .

Discussion

5328.	The bar graph shows the favorite subjects of students in class VI.How many students do not like Hindi?
Answer» The bar graph shows the favorite subjects of students in class VI.How many students do not like Hindi?

Discussion

5329.	Identify terms which contain x and give the coefficient of x.(i) y2x+y(ii) 13y2−8yx(iii) x + y + 2(iv) 5 + z + zx(v) 1 + x + xy(vi) 12xy2 + 25(vii)7x + xy2
Answer» Identify terms which contain x and give the coefficient of x. (i) $y^{2} x + y$ (ii) $13 y^{2} - 8 y x$ (iii) x + y + 2 (iv) 5 + z + zx (v) 1 + x + xy (vi) $12 x y^{2} + 25$ (vii) $7 x + x y^{2}$

5329.

Identify terms which contain x and give the coefficient of x.(i) y2x+y(ii) 13y2−8yx(iii) x + y + 2(iv) 5 + z + zx(v) 1 + x + xy(vi) 12xy2 + 25(vii)7x + xy2

Answer»

Identify terms which contain x and give the coefficient of x.

(i) $y^{2} x + y$

(ii) $13 y^{2} - 8 y x$

(iii) x + y + 2

(iv) 5 + z + zx

(v) 1 + x + xy

(vi) $12 x y^{2} + 25$

(vii) $7 x + x y^{2}$

Discussion

5330.	The value of (1216)−13 is.
Answer» The value of $(\frac{1}{216})^{- \frac{1}{3}}$ is .

Discussion

5331.	Question 3 (iv)Find the square root of the following decimal numbers:42.25
Answer» Question 3 (iv) Find the square root of the following decimal numbers: 42.25

5331.

Question 3 (iv)Find the square root of the following decimal numbers:42.25

Answer»

Question 3 (iv)

Find the square root of the following decimal numbers:

42.25

Discussion

5332.	(2^-1+3^-1)^3
Answer» (2^-1+3^-1)^3

Discussion

5333.	Which of the following are the cubes of even numbers? (i) 216 (ii) 729 (iii) 512 (iv) 3375 (v) 1000
Answer» Which of the following are the cubes of even numbers? (i) 216 (ii) 729 (iii) 512 (iv) 3375 (v) 1000

Discussion

5334.	ABC+ABC+ABC=BBB What are the values of A,B,C?
Answer» ABC+ABC+ABC=BBB What are the values of A,B,C?

Discussion

5335.	Question 7In the class intervals, 10 - 20, 20 - 30, the number 20 is included in:A) 10 - 20B) 20 - 30C) Both the intervalsD) None of these
Answer» Question 7 In the class intervals, 10 - 20, 20 - 30, the number 20 is included in: A) 10 - 20 B) 20 - 30 C) Both the intervals D) None of these

Discussion

5336.	A number 74A is exactly divisible by 2 and leaves a remainder 1, when divided by 5. Find A.6
Answer» A number 74A is exactly divisible by 2 and leaves a remainder 1, when divided by 5. Find A. 6

Discussion

5337.	Simplify √32+√48√8+√12=?
Answer» Simplify $\frac{\sqrt{32} + \sqrt{48}}{\sqrt{8} + \sqrt{12}} = ?$

Discussion

5338.	How will I write exponents in the mobile
Answer» How will I write exponents in the mobile

Discussion

5339.	Question 17In the given question, out of four options, only one is correct. Write the correct answer.Which of the following numbers is divisible by 99?(a) 913462(b) 114345(c) 135792(d) 3572406
Answer» Question 17 In the given question, out of four options, only one is correct. Write the correct answer. Which of the following numbers is divisible by 99? (a) 913462 (b) 114345 (c) 135792 (d) 3572406

Discussion

5340.	Construct, if possible a quadrilateral ABCD in which AB=6 cm, BC =7 cm, CD =3 cm, AD =5.5 cm and AC =11cm, Give reasons for not being able to construct, if you cannot.
Answer» Construct, if possible a quadrilateral ABCD in which AB=6 cm, BC =7 cm, CD =3 cm, AD =5.5 cm and AC =11cm, Give reasons for not being able to construct, if you cannot.

Discussion

5341.	In given figure, if ∠A=∠C, AB = 6cm, BP = 15cm, AP = 12cm and CP = 4cm, then find the lengths of PD and CD.
Answer» In given figure, if $∠ A = ∠ C$ , AB = 6cm, BP = 15cm, AP = 12cm and CP = 4cm, then find the lengths of PD and CD.

Discussion

5342.	In the figure, the two triangles are congruent. The corresponding parts are marked. We can write △RAT≅?
Answer» In the figure, the two triangles are congruent. The corresponding parts are marked. We can write $△ R A T ≅ ?$

Discussion

5343.	If the radius of a circle is 7√π cm, then find the area of the circle (in square cm).
Answer» If the radius of a circle is $\frac{7}{\sqrt{π}}$ cm, then find the area of the circle (in square cm).

Discussion

5344.	If 90% of x is 315 km, then the value of x will be _____.
Answer» If 90% of $x$ is 315 km, then the value of $x$ will be _____.

Discussion

5345.	ntIf x = cb + 4 find the value of x+ 1/xn
Answer» ntIf x = cb + 4 find the value of x+ 1/xn

Discussion

5346.	What special name can be given to a quadrilateral PQRS if ∠P + ∠S = 180°?
Answer» What special name can be given to a quadrilateral PQRS if ∠P + ∠S = 180°?

Discussion

5347.	Mr. Jackson went on a road trip in his car. In 1st hour, he travels 57 miles. In 2nd, 3rd and 4th hours, he travels 49 miles, 60 miles and 65 miles, respectively, before reaching to a gas station. On an average, the distance travelled by him in an hour is miles.
Answer» Mr. Jackson went on a road trip in his car. In $1^{st}$ hour, he travels $57$ miles. In $2^{nd}$ , $3^{rd}$ and $4^{th}$ hours, he travels 49 miles, 60 miles and 65 miles, respectively, before reaching to a gas station. On an average, the distance travelled by him in an hour is miles.

Discussion

5348.	Whether the opposite sides of a kite must always be unequal or not?
Answer» Whether the opposite sides of a kite must always be unequal or not?

Discussion

5349.	There is a pentagon shaped park as shown in the figure. For finding its area Jyoti and Kavita divided it in two different ways,Find the area of the above figure using either Jyothi's diagram or kavitha's diagram.
Answer» There is a pentagon shaped park as shown in the figure. For finding its area Jyoti and Kavita divided it in two different ways, Find the area of the above figure using either Jyothi's diagram or kavitha's diagram.

Discussion

5350.	Construct a quadrilateral MORE where MO = 6 cm ,OR = 4.5 cm, ∠M=60∘, ∠O=105∘, ∠R=105∘.
Answer» Construct a quadrilateral MORE where MO = 6 cm ,OR = 4.5 cm, $∠ M = 60^{\circ}, ∠ O = 105^{\circ}, ∠ R = 105^{\circ}$ .

Discussion

Explore topic-wise InterviewSolutions in .

Find the value of ‘x’, when 3x=√39.

19¹³-7¹³-12 will necessarily divisible by:i) 13 ii) 97 ii) 36 iv) 101

Simplify: (220÷215)×23

Question 4Construct the Rhombus BEST whereBE = 4.5 cm, ET = 6 cm

x3−144x=? (a) x(x−12)2 (b) x(x+12)2 (c) x(x-12)(x+12) (d) none of these

During 2003, the production of a factory decreased by 25%. But, during 2004, it (production) increased by 40% of what it was at the beginning of 2004. Calculate the resulting change (increase or decrease) in production during these two years.

Question 77The probability of getting number 6 in a throw of a die is 16. Similarly, the probability of getting a number 5 is 15.

a number is twice another number. if their sum is 96 , what are the numbers ?

In the given figure, l || m and a transversal t cuts them. If ∠1 : ∠2 = 2 : 3, find the measure of each of the marked angles.

The manufacturing price of a t v set is 12000 rupees. The company sold it to a dealer at 20 percent profit and the dealer sold it to a customer at 12.5 percent profit. Find the price which the customer has to pay

How many significant figures are there in 0.310×105 m ?

The sum of all exterior angles of a polygon is ______ degrees.

Question 3: Draw rough diagrams of two angles such that they have: (a) Three points in common

Question 35State whether the statement is true (T) or false (F).In a 2-digit number, the unit's place digit is x. If the sum of the digits be 9, then the number is (10x-9).

The product of a monomial and a binomial is always a ________.

If a2+1a2 =102, find the value of a-1a.

The area of a scalene triangle with sides 32 cm, 34 cm and 34 cm is

When constructing a trapezium if 2 sides are given, a minimum of how many angles need to be provided? __

Sum of three consecutive numbers is 48. Find the numbers.

Which of the following mathematical statements is/are wrong?

In a class there are 10 men and 20 women. Out of them half of the number of men and half of the number of women have brown eyes. Out of them if a person is chosen at random, the chance that for the person chosen to be a man or brown eyed person is

Question 8The number of planks of dimensions (4m×50cm×20cm) that can be stored in a pit which is 16 m long, 12 m wide and 4 m deep is:A) 1900B) 1920C) 1800D) 1840

4 students decide to stand one behind the other. If they have no preference regarding their position, in how many ways can they order themselves in a line?

Square root of 324 is ______ .

The bar graph shows the favorite subjects of students in class VI.How many students do not like Hindi?

Identify terms which contain x and give the coefficient of x.(i) y2x+y(ii) 13y2−8yx(iii) x + y + 2(iv) 5 + z + zx(v) 1 + x + xy(vi) 12xy2 + 25(vii)7x + xy2

The value of (1216)−13 is.

Question 3 (iv)Find the square root of the following decimal numbers:42.25

(2^-1+3^-1)^3

Which of the following are the cubes of even numbers? (i) 216 (ii) 729 (iii) 512 (iv) 3375 (v) 1000

ABC+ABC+ABC=BBB What are the values of A,B,C?

Question 7In the class intervals, 10 - 20, 20 - 30, the number 20 is included in:A) 10 - 20B) 20 - 30C) Both the intervalsD) None of these

A number 74A is exactly divisible by 2 and leaves a remainder 1, when divided by 5. Find A.6

Simplify √32+√48√8+√12=?

How will I write exponents in the mobile

Question 17In the given question, out of four options, only one is correct. Write the correct answer.Which of the following numbers is divisible by 99?(a) 913462(b) 114345(c) 135792(d) 3572406

Construct, if possible a quadrilateral ABCD in which AB=6 cm, BC =7 cm, CD =3 cm, AD =5.5 cm and AC =11cm, Give reasons for not being able to construct, if you cannot.

In given figure, if ∠A=∠C, AB = 6cm, BP = 15cm, AP = 12cm and CP = 4cm, then find the lengths of PD and CD.

In the figure, the two triangles are congruent. The corresponding parts are marked. We can write △RAT≅?

If the radius of a circle is 7√π cm, then find the area of the circle (in square cm).

If 90% of x is 315 km, then the value of x will be _____.

ntIf x = cb + 4 find the value of x+ 1/xn

What special name can be given to a quadrilateral PQRS if ∠P + ∠S = 180°?

Mr. Jackson went on a road trip in his car. In 1st hour, he travels 57 miles. In 2nd, 3rd and 4th hours, he travels 49 miles, 60 miles and 65 miles, respectively, before reaching to a gas station. On an average, the distance travelled by him in an hour is miles.

Whether the opposite sides of a kite must always be unequal or not?

There is a pentagon shaped park as shown in the figure. For finding its area Jyoti and Kavita divided it in two different ways,Find the area of the above figure using either Jyothi's diagram or kavitha's diagram.

Construct a quadrilateral MORE where MO = 6 cm ,OR = 4.5 cm, ∠M=60∘, ∠O=105∘, ∠R=105∘.