19743 + Interview Questions in Mathematics Page 221 InterviewSolution

11001.	Question 112(i)Simplify325+2311×2215
Answer» Question 112(i) Simplify $\frac{32}{5} + \frac{23}{11} \times \frac{22}{15}$

Discussion

11002.	The measure of the angle between the hour hand and the minute hand at six O'Clock is degrees (value of angle in nearest integer).
Answer» The measure of the angle between the hour hand and the minute hand at six O'Clock is degrees (value of angle in nearest integer).

Discussion

11003.	List all the subsets of the set {−1,0,1}.
Answer» List all the subsets of the set ${- 1, 0, 1} .$

Discussion

11004.	Question 38 In questions 24 to 59, fill in the blanks to make the statements true. If the price of sugar is decreased by 20 %, then the new price of 3 kg sugar originally costing Rs. 120, will be ___ .
Answer» Question 38 In questions 24 to 59, fill in the blanks to make the statements true. If the price of sugar is decreased by 20 %, then the new price of 3 kg sugar originally costing Rs. 120, will be ___ .

11004.

Question 38 In questions 24 to 59, fill in the blanks to make the statements true. If the price of sugar is decreased by 20 %, then the new price of 3 kg sugar originally costing Rs. 120, will be ___ .

Answer»

Question 38

In questions 24 to 59, fill in the blanks to make the statements true.
If the price of sugar is decreased by 20 %, then the new price of 3 kg sugar originally costing Rs. 120, will be ___ .

Discussion

11005.	Question 50 Fill in the blanks to make the statement true. 1 m2= ___ cm2
Answer» Question 50 Fill in the blanks to make the statement true. $1 m^{2} =$ ___ $c m^{2}$

Discussion

11006.	Express 18% as a fraction.
Answer» Express 18% as a fraction.

Discussion

11007.	Will taking a loan be represented as a negative integer? Why?
Answer» Will taking a loan be represented as a negative integer? Why?

Discussion

11008.	Question 4To construct a triangle similar to a given ΔABC with its sides of 37 the corresponding sides of Δ ABC , first draw a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate point B1,B2,B3.... on BX at equal distances and next step is to join(A) B10 to C(B) B3 to C(C) B7 to C(D) B4 to C
Answer» Question 4 To construct a triangle similar to a given $Δ$ ABC with its sides of $\frac{3}{7}$ the corresponding sides of $Δ$ ABC , first draw a ray BX such that $∠$ CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate point $B_{1}, B_{2}, B_{3} . . . .$ on BX at equal distances and next step is to join (A) $B_{10}$ to C (B) $B_{3}$ to C (C) $B_{7}$ to C (D) $B_{4}$ to C

Discussion

11009.	Solve the following.130 students participate in an essay competition. If 26 students win prizes, find the percentage of winners.
Answer» Solve the following. 130 students participate in an essay competition. If 26 students win prizes, find the percentage of winners.

11009.

Solve the following.130 students participate in an essay competition. If 26 students win prizes, find the percentage of winners.

Answer»

Solve the following.

130 students participate in an essay competition. If 26 students win prizes, find the percentage of winners.

Discussion

11010.	Question 18State whether the given statement is true (T) or false (F).0.2:5=2:0.5
Answer» Question 18 State whether the given statement is true (T) or false (F). $0.2 : 5 = 2 : 0.5$

11010.

Question 18State whether the given statement is true (T) or false (F).0.2:5=2:0.5

Answer»

Question 18

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

$0.2 : 5 = 2 : 0.5$

Discussion

11011.	The weights of 10 students (in kilograms) are:36, 45, 31, 52, 35, 40, 55, 60, 38, 44Find the median weight.
Answer» The weights of 10 students (in kilograms) are: 36, 45, 31, 52, 35, 40, 55, 60, 38, 44 Find the median weight.

Discussion

11012.	A graph consists of two line graphs. It is a convenient way of comparing two data sets of same categories. This graph is a graph.
Answer» A graph consists of two line graphs. It is a convenient way of comparing two data sets of same categories. This graph is a graph.

Discussion

11013.	The table shows the average cost of sweaters and number of pairs of sweaters sold at different shops. Which of the following scatter plot shows the given table of data?
Answer» The table shows the average cost of sweaters and number of pairs of sweaters sold at different shops. Which of the following scatter plot shows the given table of data?

Discussion

11014.	Can this be a net for adie?Explain you answer
Answer» Can this be a net for a die? Explain you answer

11014.

Can this be a net for adie?Explain you answer

Answer»

Can this be a net for a
die?

Explain you answer

Discussion

11015.	Question 7If p(x) = x + 3 , then p(x) + p(-x) is equal toA) 3B) 2xC) 0D) 6
Answer» Question 7 If p(x) = x + 3 , then p(x) + p(-x) is equal to A) 3 B) 2x C) 0 D) 6

Discussion

11016.	If one number of a Pythagorean triplet is 8, then the other two numbers are _____ and _____.
Answer» If one number of a Pythagorean triplet is $8$ , then the other two numbers are _____ and _____.

Discussion

11017.	22. What is formula to calculate the distance between incentre and centroid of a triangle ?
Answer» 22. What is formula to calculate the distance between incentre and centroid of a triangle ?

Discussion

11018.	18. In an equilateral triangle ABC if D is a midpoint on side BC such that BD then AD;AB=
Answer» 18. In an equilateral triangle ABC if D is a midpoint on side BC such that BD then AD;AB=

Discussion

11019.	Given a right triangle ABC, with AC=25x and AB=24x as shown, if BC=7 units, then x=
Answer» Given a right triangle $A B C$ , with $A C = 25 x$ and $A B = 24 x$ as shown, if $B C = 7$ units, then $x =$

Discussion

11020.	Solve for x:x3+13=5
Answer» Solve for $x :$ $\frac{x}{3} + \frac{1}{3} = 5$

Discussion

11021.	Find the product using suitable properties a) 52 x (-98) + 52 x(-2) b) (-8) x 54 x(-125) c) -36 x 103 d) 872 x 1001- 872 e) -15 x 25 x(-4) x(-10) x (-1) f) 625 x (-35) + (-625) x 65 g) 18 x999 h) 50 x (-23) + 50 x(17)
Answer» Find the product using suitable properties a) 52 x (-98) + 52 x(-2) b) (-8) x 54 x(-125) c) -36 x 103 d) 872 x 1001- 872 e) -15 x 25 x(-4) x(-10) x (-1) f) 625 x (-35) + (-625) x 65 g) 18 x999 h) 50 x (-23) + 50 x(17)

11021.

Find the product using suitable properties a) 52 x (-98) + 52 x(-2) b) (-8) x 54 x(-125) c) -36 x 103 d) 872 x 1001- 872 e) -15 x 25 x(-4) x(-10) x (-1) f) 625 x (-35) + (-625) x 65 g) 18 x999 h) 50 x (-23) + 50 x(17)

Answer»

Find the product using suitable properties

a) 52 x (-98) + 52 x(-2)

b) (-8) x 54 x(-125)

c) -36 x 103

d) 872 x 1001- 872

e) -15 x 25 x(-4) x(-10) x (-1)

f) 625 x (-35) + (-625) x 65

g) 18 x999

h) 50 x (-23) + 50 x(17)

Discussion

11022.	Question 22Fill in the blanks to make each statement true:The share of A when Rs. 25 are divided between A and B, so that A gets Rs. 8 more than B, is ...................
Answer» Question 22 Fill in the blanks to make each statement true: The share of A when Rs. 25 are divided between A and B, so that A gets Rs. 8 more than B, is ...................

11022.

Question 22Fill in the blanks to make each statement true:The share of A when Rs. 25 are divided between A and B, so that A gets Rs. 8 more than B, is ...................

Answer»

Question 22

Fill in the blanks to make each statement true:

The share of A when Rs. 25 are divided between A and B, so that A gets Rs. 8 more than B, is ...................

Discussion

11023.	Which expression is equivalent to 4.4 × 105 cm2+7.5 × 104 cm2?
Answer» Which expression is equivalent to $4.4 \times 10^{5} {cm}^{2} + 7.5 \times 10^{4} {cm}^{2}$ ?

Discussion

11024.	Express 6×6×6×6 in exponential form.
Answer» Express $6 \times 6 \times 6 \times 6$ in exponential form.

Discussion

11025.	Among the given ratios, the one equaivalent to 14 : 22 is
Answer» Among the given ratios, the one equaivalent to $14 : 22$ is

Discussion

11026.	Let's say a thief is running on a train with 12 km per hour . The police car is moving with 80 kilometre per hour. If speed of the train is 60 km per hour . what is the speed of the thief With respect to the police car ?
Answer» Let's say a thief is running on a train with 12 km per hour . The police car is moving with 80 kilometre per hour. If speed of the train is 60 km per hour . what is the speed of the thief With respect to the police car ?

Discussion

11027.	When the digits in a two-digit number are interchanged, the sum of the two numbers is 88. If the tens digit is 2 more than the ones digit in the original number, what is the original number?
Answer» When the digits in a two-digit number are interchanged, the sum of the two numbers is $88$ . If the tens digit is $2$ more than the ones digit in the original number, what is the original number?

Discussion

11028.	Name the polygon formed in the front side of the figure. __
Answer» Name the polygon formed in the front side of the figure. __

11028.

Name the polygon formed in the front side of the figure. __

Answer»

Name the polygon formed in the front side of the figure.

__

Discussion

11029.	Tap on the correct pair of multiplication and division equations.
Answer» Tap on the correct pair of multiplication and division equations.

Discussion

11030.	In a plane there are 37 straight lines of which 13 pass through point A and 11 pass through the point B. Besides, no three lines pass through one point, no line passes through both A and B, and no two lines are parallel. Then the total number of intersection points of the lines are
Answer» In a plane there are $37$ straight lines of which $13$ pass through point $A$ and $11$ pass through the point $B$ . Besides, no three lines pass through one point, no line passes through both $A$ and $B$ , and no two lines are parallel. Then the total number of intersection points of the lines are

Discussion

11031.	Prove that(i) 8-23×212×25-54÷32-25×125-56=2(ii) 64125-23+125662514+25643=6516(iii) 78114+25614144=16807
Answer» Prove that (i) $[8^{- \frac{2}{3}} \times 2^{\frac{1}{2}} \times 25^{- \frac{5}{4}}] \div [32^{- \frac{2}{5}} \times 125^{- \frac{5}{6}}] = \sqrt{2}$ (ii) ${(\frac{64}{125})}^{- \frac{2}{3}} + \frac{1}{{(\frac{256}{625})}^{\frac{1}{4}}} + \frac{\sqrt{25}}{\sqrt[3]{64}} = \frac{65}{16}$ (iii) ${[7 {\{{(81)}^{\frac{1}{4}} + {(256)}^{\frac{1}{4}}\}}^{\frac{1}{4}}]}^{4} = 16807$

Discussion

11032.	Look at the pyramid. The pair of adjacent cells in the bottom row add up to give the number in the corresponding top cell in the next row; and these two cells add upto give the number at the top of the pyramid. What are the three consecutive numbers, we should start with, to get 300 at the top of the pyramid?
Answer» Look at the pyramid. The pair of adjacent cells in the bottom row add up to give the number in the corresponding top cell in the next row; and these two cells add upto give the number at the top of the pyramid. What are the three consecutive numbers, we should start with, to get 300 at the top of the pyramid?

11032.

Look at the pyramid. The pair of adjacent cells in the bottom row add up to give the number in the corresponding top cell in the next row; and these two cells add upto give the number at the top of the pyramid. What are the three consecutive numbers, we should start with, to get 300 at the top of the pyramid?

Answer»

Look at the pyramid. The pair of adjacent cells in the bottom row add up to give the number in the corresponding top cell in the next row; and these two cells add upto give the number at the top of the pyramid. What are the three consecutive numbers, we should start with, to get 300 at the top of the pyramid?

Discussion

11033.	One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. What is the probability that the card drawn is either a red or a king?
Answer» One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. What is the probability that the card drawn is either a red or a king?

Discussion

11034.	Two interior angle bisectors of a triangle meet at a point O. Without any other information, can we say that the point O is the incentre of the triangle? Answer in Yes/No.
Answer» Two interior angle bisectors of a triangle meet at a point O. Without any other information, can we say that the point O is the incentre of the triangle? Answer in Yes/No.

Discussion

11035.	4+ 3 root5I4 - 3 root5= a+b root5
Answer» 4+ 3 root5I4 - 3 root5= a+b root5

Discussion

11036.	Solve thefollowing equations.(a) (b) 5t+ 28 = 10 (c) (d) (e) (f) (g) (h) 6z+ 10 = − 2 (i) (j)
Answer» Solve the following equations. (a) (b) 5t + 28 = 10 (c) (d) (e) (f) (g) (h) 6z + 10 = − 2 (i) (j)

11036.

Solve thefollowing equations.(a) (b) 5t+ 28 = 10 (c) (d) (e) (f) (g) (h) 6z+ 10 = − 2 (i) (j)

Answer»

Solve the
following equations.

(a) (b) 5t
+ 28 = 10 (c)

(d) (e) (f)

(g) (h) 6z
+ 10 = − 2 (i)

(j)

Discussion

11037.	For a quadrilateral PQRS where PQ = 4 cm, QR = 6 cm, RS = 5 cm and PS = 5.5 cm, the value of PR should be less than ____ cm. ___
Answer» For a quadrilateral PQRS where PQ = $4$ cm, QR = $6$ cm, RS = $5$ cm and PS = $5.5$ cm, the value of PR should be less than ____ cm. ___

Discussion

11038.	I borrowed ₹12,000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay?
Answer» I borrowed ₹12,000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay?

Discussion

11039.	The time in which the principal amount of $500 dollars lent at a rate of 7.5 per annum earns an interest of $150 dollars is years.
Answer» The time in which the principal amount of $$ 500$ dollars lent at a rate of $7.5$ per annum earns an interest of $$ 150$ dollars is years.

Discussion

11040.	Find the value of x, if OM is the angle bisector.
Answer» Find the value of $x$ , if OM is the angle bisector.

Discussion

11041.	11.A small heavy block is attached to the lower end of a light rod of lenght 'l' which can be rotated about its clamped upper end. What minimum horizontal velocity should the block be given so that it moves in a complete vertical circle
Answer» 11.A small heavy block is attached to the lower end of a light rod of lenght 'l' which can be rotated about its clamped upper end. What minimum horizontal velocity should the block be given so that it moves in a complete vertical circle

Discussion

11042.	In the given figure, if l \|\| m, n \|\| p and ∠1 = 85°, find ∠2.
Answer» In the given figure, if l \|\| m, n \|\| p and ∠1 = 85°, find ∠2.

Discussion

11043.	Mark the correct alternative in each of the following:0.25 × 0.8 =(a) 0.02 (b) 0.2 (c) 0.002 (d) 2
Answer» Mark the correct alternative in each of the following: 0.25 × 0.8 = (a) 0.02 (b) 0.2 (c) 0.002 (d) 2

Discussion

11044.	Write as a fraction in the lowest term:(a) 0.60
Answer» Write as a fraction in the lowest term: (a) 0.60

Discussion

11045.	Using the given information, name the right angles in each part of the given figure.a) BA⊥BDb) RT⊥STc) AC⊥BDd) RT⊥SWe) AC⊥BDf) AE⊥CEg) AC⊥CDh) OP⊥AB
Answer» Using the given information, name the right angles in each part of the given figure. a) $B A ⊥ B D$ b) $R T ⊥ S T$ c) $A C ⊥ B D$ d) $R T ⊥ S W$ e) $A C ⊥ B D$ f) $A E ⊥ C E$ g) $A C ⊥ C D$ h) $O P ⊥ A B$

11045.

Using the given information, name the right angles in each part of the given figure.a) BA⊥BDb) RT⊥STc) AC⊥BDd) RT⊥SWe) AC⊥BDf) AE⊥CEg) AC⊥CDh) OP⊥AB

Answer»

Using the given information, name the right angles in each part of the given figure.

a) $B A ⊥ B D$

b) $R T ⊥ S T$

c) $A C ⊥ B D$

d) $R T ⊥ S W$

e) $A C ⊥ B D$

f) $A E ⊥ C E$

g) $A C ⊥ C D$

h) $O P ⊥ A B$

Discussion

11046.	The product of two fractions is 20. If one of the fractions is 32, then the other fraction is .
Answer» The product of two fractions is 20. If one of the fractions is $\frac{3}{2},$ then the other fraction is .

Discussion

11047.	Which of the following triplet are the sides of right angled triangle?
Answer» Which of the following triplet are the sides of right angled triangle?

Discussion

11048.	A stationery store sells pack of pens, each pack having 45 pens. He wants to pack 100,978 pens in similiar way. How much pens would be left?
Answer» A stationery store sells pack of pens, each pack having 45 pens. He wants to pack $100, 978$ pens in similiar way. How much pens would be left?

Discussion

11049.	Prove that the priduct of r consecutive positive integers is divisible by r!
Answer» Prove that the priduct of r consecutive positive integers is divisible by r!

Discussion

11050.	Question 7 The area of the circle that can be inscribed in a square of side 6 cm is (A) 36π cm2 (B) 18π cm2 (C) 12π cm2 (D) 9π cm2
Answer» Question 7 The area of the circle that can be inscribed in a square of side 6 cm is (A) $36 π c m^{2}$ (B) $18 π c m^{2}$ (C) $12 π c m^{2}$ (D) $9 π c m^{2}$

Discussion

Explore topic-wise InterviewSolutions in .

Question 112(i)Simplify325+2311×2215

The measure of the angle between the hour hand and the minute hand at six O'Clock is degrees (value of angle in nearest integer).

List all the subsets of the set {−1,0,1}.

Question 38 In questions 24 to 59, fill in the blanks to make the statements true. If the price of sugar is decreased by 20 %, then the new price of 3 kg sugar originally costing Rs. 120, will be ___ .

Question 50 Fill in the blanks to make the statement true. 1 m2= ___ cm2

Express 18% as a fraction.

Will taking a loan be represented as a negative integer? Why?

Solve the following.130 students participate in an essay competition. If 26 students win prizes, find the percentage of winners.

Question 18State whether the given statement is true (T) or false (F).0.2:5=2:0.5

The weights of 10 students (in kilograms) are:36, 45, 31, 52, 35, 40, 55, 60, 38, 44Find the median weight.

A graph consists of two line graphs. It is a convenient way of comparing two data sets of same categories. This graph is a graph.

The table shows the average cost of sweaters and number of pairs of sweaters sold at different shops. Which of the following scatter plot shows the given table of data?

Can this be a net for adie?Explain you answer

Question 7If p(x) = x + 3 , then p(x) + p(-x) is equal toA) 3B) 2xC) 0D) 6

If one number of a Pythagorean triplet is 8, then the other two numbers are _____ and _____.

22. What is formula to calculate the distance between incentre and centroid of a triangle ?

18. In an equilateral triangle ABC if D is a midpoint on side BC such that BD then AD;AB=

Given a right triangle ABC, with AC=25x and AB=24x as shown, if BC=7 units, then x=

Solve for x:x3+13=5

Find the product using suitable properties a) 52 x (-98) + 52 x(-2) b) (-8) x 54 x(-125) c) -36 x 103 d) 872 x 1001- 872 e) -15 x 25 x(-4) x(-10) x (-1) f) 625 x (-35) + (-625) x 65 g) 18 x999 h) 50 x (-23) + 50 x(17)

Question 22Fill in the blanks to make each statement true:The share of A when Rs. 25 are divided between A and B, so that A gets Rs. 8 more than B, is ...................

Which expression is equivalent to 4.4 × 105 cm2+7.5 × 104 cm2?

Express 6×6×6×6 in exponential form.

Among the given ratios, the one equaivalent to 14 : 22 is

Let's say a thief is running on a train with 12 km per hour . The police car is moving with 80 kilometre per hour. If speed of the train is 60 km per hour . what is the speed of the thief With respect to the police car ?

When the digits in a two-digit number are interchanged, the sum of the two numbers is 88. If the tens digit is 2 more than the ones digit in the original number, what is the original number?

Name the polygon formed in the front side of the figure. __

Tap on the correct pair of multiplication and division equations.

In a plane there are 37 straight lines of which 13 pass through point A and 11 pass through the point B. Besides, no three lines pass through one point, no line passes through both A and B, and no two lines are parallel. Then the total number of intersection points of the lines are

Prove that(i) 8-23×212×25-54÷32-25×125-56=2(ii) 64125-23+125662514+25643=6516(iii) 78114+25614144=16807

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. What is the probability that the card drawn is either a red or a king?

Two interior angle bisectors of a triangle meet at a point O. Without any other information, can we say that the point O is the incentre of the triangle? Answer in Yes/No.

4+ 3 root5I4 - 3 root5= a+b root5

Solve thefollowing equations.(a) (b) 5t+ 28 = 10 (c) (d) (e) (f) (g) (h) 6z+ 10 = − 2 (i) (j)

For a quadrilateral PQRS where PQ = 4 cm, QR = 6 cm, RS = 5 cm and PS = 5.5 cm, the value of PR should be less than ____ cm. ___

I borrowed ₹12,000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay?

The time in which the principal amount of $500 dollars lent at a rate of 7.5 per annum earns an interest of $150 dollars is years.

Find the value of x, if OM is the angle bisector.

11.A small heavy block is attached to the lower end of a light rod of lenght 'l' which can be rotated about its clamped upper end. What minimum horizontal velocity should the block be given so that it moves in a complete vertical circle

In the given figure, if l || m, n || p and ∠1 = 85°, find ∠2.

Mark the correct alternative in each of the following:0.25 × 0.8 =(a) 0.02 (b) 0.2 (c) 0.002 (d) 2

Write as a fraction in the lowest term:(a) 0.60

Using the given information, name the right angles in each part of the given figure.a) BA⊥BDb) RT⊥STc) AC⊥BDd) RT⊥SWe) AC⊥BDf) AE⊥CEg) AC⊥CDh) OP⊥AB

The product of two fractions is 20. If one of the fractions is 32, then the other fraction is .

Which of the following triplet are the sides of right angled triangle?

A stationery store sells pack of pens, each pack having 45 pens. He wants to pack 100,978 pens in similiar way. How much pens would be left?

Prove that the priduct of r consecutive positive integers is divisible by r!

Question 7 The area of the circle that can be inscribed in a square of side 6 cm is (A) 36π cm2 (B) 18π cm2 (C) 12π cm2 (D) 9π cm2

If one number of a Pythagorean triplet is 8, then the other two numbers are _ and _.

For a quadrilateral PQRS where PQ = 4 cm, QR = 6 cm, RS = 5 cm and PS = 5.5 cm, the value of PR should be less than __ cm. _