25365 + Interview Questions in Mathematics Page 143 InterviewSolution

7101.	Solve the equation: y−43+3y=4
Answer» Solve the equation: $\frac{y - 4}{3} + 3 y = 4$

Discussion

7102.	Let V be the volume of a tetrahedron and V′ be the volume of another tetrahedron formed by the centroids of the previous tetrahedron. If V=kV′, then the value of k is
Answer» Let $V$ be the volume of a tetrahedron and $V^{'}$ be the volume of another tetrahedron formed by the centroids of the previous tetrahedron. If $V = k V^{'}$ , then the value of $k$ is

Discussion

7103.	Find prime numbers 'p' such that '19p+1' is a square numbers.
Answer» Find prime numbers 'p' such that '19p+1' is a square numbers.

Discussion

7104.	If AB is divisible by 5 but not divisible by 2 and BA is divisible 3. Then which of the following is possible value of A and B?
Answer» If AB is divisible by 5 but not divisible by 2 and BA is divisible 3. Then which of the following is possible value of A and B?

Discussion

7105.	Draw a number line and mark34,74,−34 and −74 on it.
Answer» $Draw a number line and mark \frac{3}{4}, \frac{7}{4}, \frac{- 3}{4} a n d \frac{- 7}{4} o n i t .$

Discussion

7106.	Some problems to do in your head.(i) (ii) (iii) (iv) 0.5 × (−0.3)
Answer» Some problems to do in your head. (i) (ii) (iii) (iv) 0.5 × (−0.3)

7106.

Some problems to do in your head.(i) (ii) (iii) (iv) 0.5 × (−0.3)

Answer»

Some problems to do in your head.

(i)

(ii)

(iii)

(iv) 0.5 × (−0.3)

Discussion

7107.	In the given figure, AB ⊥ BE and FE ⊥ BE. If BC = DE and AB = EF, then ΔABD is congruent to(a) ΔEFC(b) ΔECF(c) ΔCEF(d) ΔFEC
Answer» In the given figure, AB ⊥ BE and FE ⊥ BE. If BC = DE and AB = EF, then ΔABD is congruent to (a) ΔEFC (b) ΔECF (c) ΔCEF (d) ΔFEC

Discussion

7108.	a sum of money at compound interest is doubled in 20 years .in how many years will it tripple itself
Answer» a sum of money at compound interest is doubled in 20 years .in how many years will it tripple itself

Discussion

7109.	Question 1One angle of a quadrilateral is of 108∘ and the remaining three angles are equal. Find each of the three equal angles. Thinking Process:The sum of all the angles in a quadrilateral is 360∘, use this result and simplify it.
Answer» Question 1 One angle of a quadrilateral is of $108^{\circ}$ and the remaining three angles are equal. Find each of the three equal angles. Thinking Process: The sum of all the angles in a quadrilateral is $360^{\circ}$ , use this result and simplify it.

Discussion

7110.	Which of the following congruencies could be the test for the construction of triangles where there is base length given, one of the base angles is given and the difference between the other two sides of the triangle are given?
Answer» Which of the following congruencies could be the test for the construction of triangles where there is base length given, one of the base angles is given and the difference between the other two sides of the triangle are given?

Discussion

7111.	The parallel sides of a trapezium are 25 cm and 13 cm,its non- parallel sides are equal being 10 cm. Find the area of the trapezium.
Answer» The parallel sides of a trapezium are 25 cm and 13 cm,its non- parallel sides are equal being 10 cm. Find the area of the trapezium.

Discussion

7112.	A man is 42 years old and his son is 12 years old. In how many years will the age of the son be half the age of the man at that time ?
Answer» A man is 42 years old and his son is 12 years old. In how many years will the age of the son be half the age of the man at that time ?

Discussion

7113.	In a class of 48 students, 14 of them watch cartoons. How many students do not watch cartoons?
Answer» In a class of 48 students, $\frac{1}{4}$ of them watch cartoons. How many students do not watch cartoons?

Discussion

7114.	Youare told that 1331 is a perfect cube. Can you guess withoutfactorization what is its cube root? Similarly, guess the cube rootsof 4913, 12167, 32768
Answer» You are told that 1331 is a perfect cube. Can you guess without factorization what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768

Discussion

7115.	Question 49The number of sides of a regular polygon in which each interior angle measures 135∘ isa) 6b) 7c) 8d) 9
Answer» Question 49 The number of sides of a regular polygon in which each interior angle measures $135^{\circ}$ is a) 6 b) 7 c) 8 d) 9

Discussion

7116.	Product of 76 and reciprocal of 1166 is __________.
Answer» Product of $\frac{7}{6}$ and reciprocal of $\frac{11}{66}$ is __________.

Discussion

7117.	The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. Find the volume of the cylinder, if its total surface area is 616 cm2.
Answer» The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. Find the volume of the cylinder, if its total surface area is 616 $c m^{2}$ .

Discussion

7118.	(a × b) × c = a × (b × c) represents which of the following property?
Answer» (a $\times$ b) $\times$ c = a $\times$ (b $\times$ c) represents which of the following property?

Discussion

7119.	Question 8 (ii)The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)
Answer» Question 8 (ii) The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)

Discussion

7120.	From the following figure, find the sum of ∠w+∠x+∠y+∠z.
Answer» From the following figure, find the sum of $∠ w + ∠ x + ∠ y + ∠ z$ .

Discussion

7121.	Express 0.0000000012 in standard form.
Answer» Express 0.0000000012 in standard form.

Discussion

7122.	Which of the following states DE-MORGAN'S law?
Answer» Which of the following states DE-MORGAN'S law?

Discussion

7123.	What is the product of (a+b) and 7a2b2?
Answer» What is the product of $(a + b)$ and 7 $a^{2}$ $b^{2}$ ?

Discussion

7124.	Question 64State whether the following statement is true or false:A perfect square can have 8 as its unit's digit.
Answer» Question 64 State whether the following statement is true or false: A perfect square can have 8 as its unit's digit.

7124.

Question 64State whether the following statement is true or false:A perfect square can have 8 as its unit's digit.

Answer»

Question 64

State whether the following statement is true or false:

A perfect square can have 8 as its unit's digit.

Discussion

7125.	Mrs. Notaria deposits Rs 1000 every month in a recurring deposit account for 3 years at 8% interest per annum. Find the matured value.
Answer» Mrs. Notaria deposits Rs 1000 every month in a recurring deposit account for 3 years at 8% interest per annum. Find the matured value.

Discussion

7126.	How many natural numbers are there in between-5 & 3?
Answer» How many natural numbers are there in between-5 & 3?

Discussion

7127.	ABCD is a cyclic quadrilateral whose side AB is a diameter of the circle through A, B, C and D. If ∠ADC=130∘, ∠BAC ___.
Answer» ABCD is a cyclic quadrilateral whose side AB is a diameter of the circle through A, B, C and D. If $∠ A D C = 130^{\circ}$ , $∠ B A C$ ___.

Discussion

7128.	Question 124(iii)Name the property used in each of the following:13+[49+(−43)]=[13+49]+[−43]
Answer» Question 124(iii) Name the property used in each of the following: $\frac{1}{3} + [\frac{4}{9} + (\frac{- 4}{3})] = [\frac{1}{3} + \frac{4}{9}] + [\frac{- 4}{3}]$

Discussion

7129.	The diagonals of a quadrilateral are perpendicular to each other and their lengths are 16 centimetres and 10 centimetres. What is its area?
Answer» The diagonals of a quadrilateral are perpendicular to each other and their lengths are 16 centimetres and 10 centimetres. What is its area?

7129.

The diagonals of a quadrilateral are perpendicular to each other and their lengths are 16 centimetres and 10 centimetres. What is its area?

Answer»

The diagonals of a quadrilateral are perpendicular to each other and their lengths are 16 centimetres and 10 centimetres. What is its area?

Discussion

7130.	If y = 2x + 3, then what is the value of y at x = 5?
Answer» If y = 2x + 3, then what is the value of y at x = 5?

Discussion

7131.	A tent is in the form of a cylinder surmounted by a cone. The slant height of the cone is 10 m, and height of the cylinder is 8 m. If the diameter of the cylinder is 12 m, then find the total surface area of the tent.
Answer» A tent is in the form of a cylinder surmounted by a cone. The slant height of the cone is 10 m, and height of the cylinder is 8 m. If the diameter of the cylinder is 12 m, then find the total surface area of the tent.

Discussion

7132.	Which of the following pair of angles formed are not equal when a transversal cuts two parallel lines?
Answer» Which of the following pair of angles formed are not equal when a transversal cuts two parallel lines?

Discussion

7133.	Question 1A point E is taken on the side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Prove that ar(ΔADF)=ar(ABFC).
Answer» Question 1 A point E is taken on the side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Prove that $a r (Δ A D F) = a r (A B F C)$ .

Discussion

7134.

Complete the following table. Classes (age) Tally marks Frequency (No. of students) 12-13 1234 13-14 1234 14-15 1234 15-16 1234 N=∑f = 35

Answer» Complete the following table.

Classes (age)	Tally marks	Frequency (No. of students)
12-13		$1234$
13-14		$1234$
14-15		$1234$
15-16		$1234$
		N=∑f = 35

Discussion

7135.	A dealer allows a discount of 20% and still gains 20%. Find the marked price of an article which costs the dealer Rs 720.
Answer» A dealer allows a discount of 20% and still gains 20%. Find the marked price of an article which costs the dealer Rs 720.

Discussion

7136.	ABC is an isosceles triangle with AB and AC as the equal sides. Find the length of the altitude drawn from the vertex angle to the base if each of the equal sides is 'a' units and the base is 'b' units.
Answer» ABC is an isosceles triangle with AB and AC as the equal sides. Find the length of the altitude drawn from the vertex angle to the base if each of the equal sides is 'a' units and the base is 'b' units.

Discussion

7137.	How many significant figures are present in the following:0.0025
Answer» How many significant figures are present in the following: $0.0025$

Discussion

7138.	Question 70 There is a circular pond and a footpath runs along its boundary. A person walks around it, exactly once keeping close to the edge. If his step is 66 cm long and he takes exactly 400 steps to go around the pond, then find the diameter of the pond.
Answer» Question 70 There is a circular pond and a footpath runs along its boundary. A person walks around it, exactly once keeping close to the edge. If his step is 66 cm long and he takes exactly 400 steps to go around the pond, then find the diameter of the pond.

7138.

Question 70 There is a circular pond and a footpath runs along its boundary. A person walks around it, exactly once keeping close to the edge. If his step is 66 cm long and he takes exactly 400 steps to go around the pond, then find the diameter of the pond.

Answer»

Question 70

There is a circular pond and a footpath runs along its boundary. A person walks around it, exactly once keeping close to the edge. If his step is 66 cm long and he takes exactly 400 steps to go around the pond, then find the diameter of the pond.

Discussion

7139.	Find the value of x (in degrees) from the given figure.50
Answer» Find the value of x (in degrees) from the given figure. 50

Discussion

7140.	Two supplementary angles differ by 34o. What are the angles?
Answer» Two supplementary angles differ by 34^o. What are the angles?

Discussion

7141.	Find the possible values of a if the number 23x6 is divisible by 6.
Answer» Find the possible values of a if the number 23x6 is divisible by 6.

Discussion

7142.	Relation from a set of even natural numbers to a set of prime numbers is such that elements from both sets are equal.Number of elements in domain of the relation is
Answer» Relation from a set of even natural numbers to a set of prime numbers is such that elements from both sets are equal. Number of elements in domain of the relation is

Discussion

7143.	27p³-1/216 -9/2p² + 1/4p
Answer» 27p³-1/216 -9/2p² + 1/4p

Discussion

7144.	The monthly income of Heaven households in a village 1200, 1500, 1400, 1000, 1000, 1600, 10,000, 1) find the median income of the households ? 2) if one more household with monthly income of Rupees 1500 is added what will be the median income become?
Answer» The monthly income of Heaven households in a village 1200, 1500, 1400, 1000, 1000, 1600, 10,000, 1) find the median income of the households ? 2) if one more household with monthly income of Rupees 1500 is added what will be the median income become?

Discussion

7145.	Question 47 Additional expenses made after buying an article are included in the cost price and are known as Value Added Tax.
Answer» Question 47 Additional expenses made after buying an article are included in the cost price and are known as Value Added Tax.

7145.

Question 47 Additional expenses made after buying an article are included in the cost price and are known as Value Added Tax.

Answer»

Question 47

Additional expenses made after buying an article are included in the cost price and are known as Value Added Tax.

Discussion

7146.	Question 25Two cubes have volumes in the ratio 1 : 64. The ratio of the area of a face of first cube to that of the other isa) 1 : 4b) 1 : 8c) 1 : 16d) 1 : 32
Answer» Question 25 Two cubes have volumes in the ratio 1 : 64. The ratio of the area of a face of first cube to that of the other is a) 1 : 4 b) 1 : 8 c) 1 : 16 d) 1 : 32

7146.

Question 25Two cubes have volumes in the ratio 1 : 64. The ratio of the area of a face of first cube to that of the other isa) 1 : 4b) 1 : 8c) 1 : 16d) 1 : 32

Answer»

Question 25

Two cubes have volumes in the ratio 1 : 64. The ratio of the area of a face of first cube to that of the other is

a) 1 : 4

b) 1 : 8

c) 1 : 16

d) 1 : 32

Discussion

7147.	Question 65 (vi)How many vertices does the following solid have?Hexagonal Prism
Answer» Question 65 (vi) How many vertices does the following solid have? Hexagonal Prism

Discussion

7148.	How many solutions do the given simultaneous linear equations have? Evaluate using the graphical method.−x−y=1;x+y+3=0
Answer» How many solutions do the given simultaneous linear equations have? Evaluate using the graphical method. $- x - y = 1;$ $x + y + 3 = 0$

Discussion

7149.	What is the perception of frequency called?
Answer» What is the perception of frequency called?

Discussion

7150.

Find the square root of the following numbers by factorisation:(i)196;(ii)256;(iii)10404;(iv)1156;(v)13225.

Answer»

Find the square root of the following numbers by factorisation:

$(i) 196; (i i) 256; (i i i) 10404; (i v) 1156; (v) 13225.$

Discussion

Explore topic-wise InterviewSolutions in .

Solve the equation: y−43+3y=4

Let V be the volume of a tetrahedron and V′ be the volume of another tetrahedron formed by the centroids of the previous tetrahedron. If V=kV′, then the value of k is

Find prime numbers 'p' such that '19p+1' is a square numbers.

If AB is divisible by 5 but not divisible by 2 and BA is divisible 3. Then which of the following is possible value of A and B?

Draw a number line and mark34,74,−34 and −74 on it.

Some problems to do in your head.(i) (ii) (iii) (iv) 0.5 × (−0.3)

In the given figure, AB ⊥ BE and FE ⊥ BE. If BC = DE and AB = EF, then ΔABD is congruent to(a) ΔEFC(b) ΔECF(c) ΔCEF(d) ΔFEC

a sum of money at compound interest is doubled in 20 years .in how many years will it tripple itself

Question 1One angle of a quadrilateral is of 108∘ and the remaining three angles are equal. Find each of the three equal angles. Thinking Process:The sum of all the angles in a quadrilateral is 360∘, use this result and simplify it.

Which of the following congruencies could be the test for the construction of triangles where there is base length given, one of the base angles is given and the difference between the other two sides of the triangle are given?

The parallel sides of a trapezium are 25 cm and 13 cm,its non- parallel sides are equal being 10 cm. Find the area of the trapezium.

A man is 42 years old and his son is 12 years old. In how many years will the age of the son be half the age of the man at that time ?

In a class of 48 students, 14 of them watch cartoons. How many students do not watch cartoons?

Youare told that 1331 is a perfect cube. Can you guess withoutfactorization what is its cube root? Similarly, guess the cube rootsof 4913, 12167, 32768

Question 49The number of sides of a regular polygon in which each interior angle measures 135∘ isa) 6b) 7c) 8d) 9

Product of 76 and reciprocal of 1166 is __________.

The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. Find the volume of the cylinder, if its total surface area is 616 cm2.

(a × b) × c = a × (b × c) represents which of the following property?

Question 8 (ii)The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)

From the following figure, find the sum of ∠w+∠x+∠y+∠z.

Express 0.0000000012 in standard form.

Which of the following states DE-MORGAN'S law?

What is the product of (a+b) and 7a2b2?

Question 64State whether the following statement is true or false:A perfect square can have 8 as its unit's digit.

Mrs. Notaria deposits Rs 1000 every month in a recurring deposit account for 3 years at 8% interest per annum. Find the matured value.

How many natural numbers are there in between-5 &amp; 3?

ABCD is a cyclic quadrilateral whose side AB is a diameter of the circle through A, B, C and D. If ∠ADC=130∘, ∠BAC ___.

Question 124(iii)Name the property used in each of the following:13+[49+(−43)]=[13+49]+[−43]

The diagonals of a quadrilateral are perpendicular to each other and their lengths are 16 centimetres and 10 centimetres. What is its area?

If y = 2x + 3, then what is the value of y at x = 5?

A tent is in the form of a cylinder surmounted by a cone. The slant height of the cone is 10 m, and height of the cylinder is 8 m. If the diameter of the cylinder is 12 m, then find the total surface area of the tent.

Which of the following pair of angles formed are not equal when a transversal cuts two parallel lines?

Question 1A point E is taken on the side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Prove that ar(ΔADF)=ar(ABFC).

Complete the following table. Classes (age) Tally marks Frequency (No. of students) 12-13 1234 13-14 1234 14-15 1234 15-16 1234 N=∑f = 35

A dealer allows a discount of 20% and still gains 20%. Find the marked price of an article which costs the dealer Rs 720.

ABC is an isosceles triangle with AB and AC as the equal sides. Find the length of the altitude drawn from the vertex angle to the base if each of the equal sides is 'a' units and the base is 'b' units.

How many significant figures are present in the following:0.0025

Question 70 There is a circular pond and a footpath runs along its boundary. A person walks around it, exactly once keeping close to the edge. If his step is 66 cm long and he takes exactly 400 steps to go around the pond, then find the diameter of the pond.

Find the value of x (in degrees) from the given figure.50

Two supplementary angles differ by 34o. What are the angles?

Find the possible values of a if the number 23x6 is divisible by 6.

Relation from a set of even natural numbers to a set of prime numbers is such that elements from both sets are equal.Number of elements in domain of the relation is

27p³-1/216 -9/2p² + 1/4p

The monthly income of Heaven households in a village 1200, 1500, 1400, 1000, 1000, 1600, 10,000, 1) find the median income of the households ? 2) if one more household with monthly income of Rupees 1500 is added what will be the median income become?

Question 47 Additional expenses made after buying an article are included in the cost price and are known as Value Added Tax.

Question 25Two cubes have volumes in the ratio 1 : 64. The ratio of the area of a face of first cube to that of the other isa) 1 : 4b) 1 : 8c) 1 : 16d) 1 : 32

Question 65 (vi)How many vertices does the following solid have?Hexagonal Prism

How many solutions do the given simultaneous linear equations have? Evaluate using the graphical method.−x−y=1;x+y+3=0

What is the perception of frequency called?

Find the square root of the following numbers by factorisation:(i)196;(ii)256;(iii)10404;(iv)1156;(v)13225.

How many natural numbers are there in between-5 & 3?