19743 + Interview Questions in Mathematics Page 164 InterviewSolution

8151.	Calculate 15.05 – 14.84
Answer» Calculate 15.05 – 14.84

Discussion

8152.	Asha got 86.875 % marks in the annual examination. If she got 695 marks, find the total number of marks of the examination
Answer» Asha got $86.875 %$ marks in the annual examination. If she got $695$ marks, find the total number of marks of the examination

Discussion

8153.	If the angles of a triangle are in the ratio 2 : 3 : 4, determine all the angles of the triangle.
Answer» If the angles of a triangle are in the ratio 2 : 3 : 4, determine all the angles of the triangle.

Discussion

8154.	If Meena gives an interest of Rs 45 for one year at 9% rate p.a what is the sum she has borrowed? [4 MARKS]
Answer» If Meena gives an interest of Rs 45 for one year at $9 %$ rate p.a what is the sum she has borrowed? [4 MARKS]

Discussion

8155.	Question 56 (c) Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. p3q2r+pq2r3+3p2qr2−9p2qr2
Answer» Question 56 (c) Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. $p^{3} q^{2} r + p q^{2} r^{3} + 3 p^{2} q r^{2} - 9 p^{2} q r^{2}$

8155.

Question 56 (c) Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. p3q2r+pq2r3+3p2qr2−9p2qr2

Answer»

Question 56 (c)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

$p^{3} q^{2} r + p q^{2} r^{3} + 3 p^{2} q r^{2} - 9 p^{2} q r^{2}$

Discussion

8156.	A shopkeeper bought some mangoes at a rate of 8 mangoes for ₹5 and then sold them at a rate of ₹9 per dozen. Find his percentage of profit or loss.
Answer» A shopkeeper bought some mangoes at a rate of 8 mangoes for ₹5 and then sold them at a rate of ₹9 per dozen. Find his percentage of profit or loss.

Discussion

8157.	There are 435 representatives and 100 senators serving in the United State congress. If we want to make the largest number of committees possible with equal number of representatives in each committee and an equal number of senators in each committee, how many committees can we make?5
Answer» There are 435 representatives and 100 senators serving in the United State congress. If we want to make the largest number of committees possible with equal number of representatives in each committee and an equal number of senators in each committee, how many committees can we make? 5

Discussion

8158.	Question 2(iv)State True or False.There is no perfect cube which ends with 8.
Answer» Question 2(iv) State True or False. There is no perfect cube which ends with 8.

8158.

Question 2(iv)State True or False.There is no perfect cube which ends with 8.

Answer»

Question 2(iv)

State True or False.

There is no perfect cube which ends with 8.

Discussion

8159.	What is a set?
Answer» What is a set?

Discussion

8160.	Which of the following pairs of sets are disjoint?
Answer» Which of the following pairs of sets are disjoint?

Discussion

8161.	A tower subtends an angle of 30° at a point on the same level as the foot of the tower. From a second point, h m above the first, the angle of depression of the foot of the tower is 60°, the horizontal distance of the tower from the point is
Answer» A tower subtends an angle of 30° at a point on the same level as the foot of the tower. From a second point, h m above the first, the angle of depression of the foot of the tower is 60°, the horizontal distance of the tower from the point is

Discussion

8162.	Select the correct representation of a number x, which is not more than 10, on the number line.
Answer» Select the correct representation of a number $x$ , which is not more than $10$ , on the number line.

Discussion

8163.	in a triangle ABC, if AB = 7 cm and AC = 5 cm, then the length of BC can be
Answer» in a triangle ABC, if AB = 7 cm and AC = 5 cm, then the length of BC can be

Discussion

8164.	Question 12 (−11)×7 is not equal to (a) 11×(−7) (b) −(11×7) (c) (−11)×(−7) (d) 7×(−11)
Answer» Question 12 $(- 11) \times 7$ is not equal to (a) $11 \times (- 7)$ (b) $- (11 \times 7)$ (c) $(- 11) \times (- 7)$ (d) $7 \times (- 11)$

8164.

Question 12 (−11)×7 is not equal to (a) 11×(−7) (b) −(11×7) (c) (−11)×(−7) (d) 7×(−11)

Answer»

Question 12

$(- 11) \times 7$ is not equal to

(a) $11 \times (- 7)$
(b) $- (11 \times 7)$
(c) $(- 11) \times (- 7)$
(d) $7 \times (- 11)$

Discussion

8165.	What is radius of curvature of projectile motion?
Answer» What is radius of curvature of projectile motion?

Discussion

8166.	if triangle ABE is equal and similar to triangle ACD , show that triangle ADE~ABC
Answer» if triangle ABE is equal and similar to triangle ACD , show that triangle ADE~ABC

Discussion

8167.	Solve the following simultaneous equations.(i) 2x + y = 5 ; 3x - y = 5 (ii) x -2 y = -1 ; 2x - y = 7 (iii) x + y = 11 ; 2x - 3 y = 7 (iv) 2x + y = -2 ; 3x - y = 7 (v) 2x - y = 5 ; 3x + 2y = 11 (vi) x- 2y = -2 ; x + 2y = 10
Answer» Solve the following simultaneous equations. (i) 2x + y = 5 ; 3x $-$ y = 5 (ii) x $-$ 2 y = $-$ 1 ; 2x $-$ y = 7 (iii) x + y = 11 ; 2x $-$ 3 y = 7 (iv) 2x + y = $-$ 2 ; 3x $-$ y = 7 (v) 2x $-$ y = 5 ; 3x + 2y = 11 (vi) x $-$ 2y = $-$ 2 ; x + 2y = 10

Discussion

8168.	Raghunath had the following transactions in an accounting year:(i) Commenced business with cash ₹ 50,000.(ii) Paid into bank ₹ 10,000.(iii) Purchased goods for cash ₹ 20,000 and credit ₹ 30,000.(iv) Sold goods for cash ₹ 40,000 costing ₹ 30,000.(v) Rent paid ₹ 500.(vi) Rent outstanding ₹ 100.(vii) Bought furniture ₹ 5,000 on credit.(viii) Bought refrigerator for personal use ₹ 5,000.(ix) Purchased motorcycle for cash ₹ 20,000. Create an Accounting Equation to show the effect of the above and also show his Balance Sheet.
Answer» Raghunath had the following transactions in an accounting year: (i) Commenced business with cash ₹ 50,000. (ii) Paid into bank ₹ 10,000. (iii) Purchased goods for cash ₹ 20,000 and credit ₹ 30,000. (iv) Sold goods for cash ₹ 40,000 costing ₹ 30,000. (v) Rent paid ₹ 500. (vi) Rent outstanding ₹ 100. (vii) Bought furniture ₹ 5,000 on credit. (viii) Bought refrigerator for personal use ₹ 5,000. (ix) Purchased motorcycle for cash ₹ 20,000. Create an Accounting Equation to show the effect of the above and also show his Balance Sheet.

Discussion

8169.	Sum of four consecutive odd numbers is 40 find the numbers
Answer» Sum of four consecutive odd numbers is 40 find the numbers

Discussion

8170.	Find the cost of fencing a square park of side 10 m at the rate of Rs.5 per meter.
Answer» Find the cost of fencing a square park of side 10 m at the rate of Rs.5 per meter.

Discussion

8171.	Question 85In the following question, state whether the given statements are true (T) or false (F).The standard form for 0.000037 is 3.7×10−5.
Answer» Question 85 In the following question, state whether the given statements are true (T) or false (F). The standard form for 0.000037 is $3.7 \times 10^{- 5}$ .

8171.

Question 85In the following question, state whether the given statements are true (T) or false (F).The standard form for 0.000037 is 3.7×10−5.

Answer»

Question 85

In the following question, state whether the given statements are true (T) or false (F).

The standard form for 0.000037 is $3.7 \times 10^{- 5}$ .

Discussion

8172.	If the lengths of the three sides of a triangle are consecutive integers, then find the set of three consecutive integers, from which a triangle can not be formed.
Answer» If the lengths of the three sides of a triangle are consecutive integers, then find the set of three consecutive integers, from which a triangle can not be formed.

Discussion

8173.	a bag contains 5red,6 white and 7 black balls.Two balls are drawn at random. What is the probability that both balls arevred or both are are black
Answer» a bag contains 5red,6 white and 7 black balls.Two balls are drawn at random. What is the probability that both balls arevred or both are are black

Discussion

8174.	19-8 is equal to(a) 3+22(b) 13+22(c) 3-22(d) 32-2
Answer» $\frac{1}{\sqrt{9} - \sqrt{8}}$ is equal to (a) $3 + 2 \sqrt{2}$ (b) $\frac{1}{3 + 2 \sqrt{2}}$ (c) $3 - 2 \sqrt{2}$ (d) $\frac{3}{2} - \sqrt{2}$

Discussion

8175.	Simplify: x2×y2×x5×y3
Answer» Simplify: $x^{2} \times y^{2} \times x^{5} \times y^{3}$

Discussion

8176.	Question 37State whether the following statement is true (T) or false (F).The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9.
Answer» Question 37 State whether the following statement is true (T) or false (F). The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9.

8176.

Question 37State whether the following statement is true (T) or false (F).The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9.

Answer»

Question 37

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

The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9.

Discussion

8177.	If 640+360 apples were kept in 50 boxes. How many apples were there in each box if all boxes had equal number of apples?
Answer» If $640 + 360$ apples were kept in 50 boxes. How many apples were there in each box if all boxes had equal number of apples?

Discussion

8178.	The population of United States is continuously increasing from 1960 to 2020. Which of the following graphs best reflects the situation in this state?
Answer» The population of United States is continuously increasing from 1960 to 2020. Which of the following graphs best reflects the situation in this state?

Discussion

8179.	Three times the sum of twice a number and four is eighteen. Find the number.
Answer» Three times the sum of twice a number and four is eighteen. Find the number.

Discussion

8180.	2,9,30,__,436,2195 Find Missing
Answer» 2,9,30,__,436,2195 Find Missing

Discussion

8181.	Question 82 (i)Subtract5a2b2c2 from −7a2b2c2
Answer» Question 82 (i) Subtract $5 a^{2} b^{2} c^{2} f r o m - 7 a^{2} b^{2} c^{2}$

8181.

Question 82 (i)Subtract5a2b2c2 from −7a2b2c2

Answer»

Question 82 (i)

Subtract

$5 a^{2} b^{2} c^{2} f r o m - 7 a^{2} b^{2} c^{2}$

Discussion

8182.	Question 76In the following question, state whether the given statements are true (T) or false (F).(−82)0=0
Answer» Question 76 In the following question, state whether the given statements are true (T) or false (F). ${(\frac{- 8}{2})}^{0} = 0$

8182.

Question 76In the following question, state whether the given statements are true (T) or false (F).(−82)0=0

Answer»

Question 76

In the following question, state whether the given statements are true (T) or false (F).

${(\frac{- 8}{2})}^{0} = 0$

Discussion

8183.	what is meant by 3D motion?
Answer» what is meant by 3D motion?

Discussion

8184.	Question 81 (i) Imagine that, a 10×10 grid has value 300 and that this value is divided evenly among the small squares. In other words, each small square is worth 3. Use a new grid for each part of this problem and label each grid "Value:300". Shade 25 % of the grid. What is 25% of 300? Compare the two answers.
Answer» Question 81 (i) Imagine that, a $10 \times 10$ grid has value 300 and that this value is divided evenly among the small squares. In other words, each small square is worth 3. Use a new grid for each part of this problem and label each grid "Value:300". Shade 25 % of the grid. What is 25% of 300? Compare the two answers.

8184.

Question 81 (i) Imagine that, a 10×10 grid has value 300 and that this value is divided evenly among the small squares. In other words, each small square is worth 3. Use a new grid for each part of this problem and label each grid "Value:300". Shade 25 % of the grid. What is 25% of 300? Compare the two answers.

Answer»

Question 81 (i)

Imagine that, a $10 \times 10$ grid has value 300 and that this value is divided evenly among the small squares. In other words, each small square is worth 3. Use a new grid for each part of this problem and label each grid "Value:300".

Shade 25 % of the grid. What is 25% of 300? Compare the two answers.

Discussion

8185.	Simplify the expressions and find the value if x is equal to 2 (i) x + 7 + 4 (x − 5) (ii) 3 (x + 2) + 5x − 7 (iii) 6x + 5 (x − 2) (iv) 4 (2x −1) + 3x + 11
Answer» Simplify the expressions and find the value if x is equal to 2 (i) x + 7 + 4 (x − 5) (ii) 3 (x + 2) + 5x − 7 (iii) 6x + 5 (x − 2) (iv) 4 (2x −1) + 3x + 11

8185.

Simplify the expressions and find the value if x is equal to 2 (i) x + 7 + 4 (x − 5) (ii) 3 (x + 2) + 5x − 7 (iii) 6x + 5 (x − 2) (iv) 4 (2x −1) + 3x + 11

Answer»

Simplify
the expressions and find the value if x is equal to 2

(i) x
+ 7 + 4 (x − 5) (ii) 3 (x + 2) + 5x −
7

(iii) 6x
+ 5 (x − 2) (iv) 4 (2x −1) + 3x +
11

Discussion

8186.	The power set of {1,2} is
Answer» The power set of ${1, 2}$ is

Discussion

8187.	Using suitable rearrangement, find the sum.47+(−49)+37+(−139)
Answer» Using suitable rearrangement, find the sum. $\frac{4}{7} + (\frac{- 4}{9}) + \frac{3}{7} + (\frac{- 13}{9})$

Discussion

8188.	Write the following decimals in ascending order:5.64,2.54,3.05,0.259 and 8.32
Answer» Write the following decimals in ascending order: $5.64, 2.54, 3.05, 0.259$ and $8.32$

Discussion

8189.	Which congruence criterion is used in the following?Given: EB = BD, AE = CB, ∠A=∠C=90∘
Answer» Which congruence criterion is used in the following? Given: EB = BD, AE = CB, $∠ A = ∠ C = 90^{\circ}$

Discussion

8190.	Evaluate:- (3x4)−2 × (x12)23
Answer» Evaluate:- $(3 x^{4})^{- 2} \times (x^{12})^{\frac{2}{3}}$

Discussion

8191.	The adjacent sides of a paralle\log ram are 20 cm and 30 cm and one of its diagonals is 40 cm in len gth. Find the length of other diagonal.
Answer» The adjacent sides of a paralle\log ram are 20 cm and 30 cm and one of its diagonals is 40 cm in len gth. Find the length of other diagonal.

Discussion

8192.	Simplify the following(a) 9.52 + 0.082 + 3.4156 (b) 7.35 − 1.026
Answer» Simplify the following (a) 9.52 + 0.082 + 3.4156 (b) 7.35 − 1.026

8192.

Simplify the following(a) 9.52 + 0.082 + 3.4156 (b) 7.35 − 1.026

Answer»

Simplify the following

(a) 9.52 + 0.082 + 3.4156

(b) 7.35 − 1.026

Discussion

8193.	Phil received a prize of ₹x per match from a cricket tournament. The tournament cost him ₹100 to enter.What were Phil’s net winnings from the tournament if he played 5 matches before getting disqualified? (Write your answer as an expression.)
Answer» Phil received a prize of ₹x per match from a cricket tournament. The tournament cost him ₹100 to enter. What were Phil’s net winnings from the tournament if he played 5 matches before getting disqualified? (Write your answer as an expression.)

Discussion

8194.

A baker sells a box of muffins for $6.50. The manufacturing cost of the muffins is $5. The delivery charge is $0.20. The percentage profit on the muffins is %.

Answer»

A baker sells a box of muffins for

$ 6.50

. The manufacturing cost of the muffins is

$ 5

. The delivery charge is

$ 0.20

. The percentage profit on the muffins is

%

.

Discussion

8195.	Find the product using a suitable property:854×102
Answer» Find the product using a suitable property: $854 \times 102$

8195.

Find the product using a suitable property:854×102

Answer»

Find the product using a suitable property:

$854 \times 102$

Discussion

8196.	One of the factors of (a2−b2)(c2−d2)−4abcd is ______.
Answer» One of the factors of $(a^{2} - b^{2}) (c^{2} - d^{2}) - 4 a b c d$ is ______.

Discussion

8197.	In this case how many time intervals can Sid calculate? Bus123456789101112131415Time(hr:min)8:158:188:238:298:328:408:458:528:549:009:079:139:209:259:32 __
Answer» In this case how many time intervals can Sid calculate? $\begin{matrix} B u s & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 T i m e (h r : m i n) & 8 : 15 & 8 : 18 & 8 : 23 & 8 : 29 & 8 : 32 & 8 : 40 & 8 : 45 & 8 : 52 & 8 : 54 & 9 : 00 & 9 : 07 & 9 : 13 & 9 : 20 & 9 : 25 & 9 : 32 \end{matrix}$ __

8197.

In this case how many time intervals can Sid calculate? Bus123456789101112131415Time(hr:min)8:158:188:238:298:328:408:458:528:549:009:079:139:209:259:32 __

Answer»

In this case how many time intervals can Sid calculate?

$\begin{matrix} B u s & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 T i m e (h r : m i n) & 8 : 15 & 8 : 18 & 8 : 23 & 8 : 29 & 8 : 32 & 8 : 40 & 8 : 45 & 8 : 52 & 8 : 54 & 9 : 00 & 9 : 07 & 9 : 13 & 9 : 20 & 9 : 25 & 9 : 32 \end{matrix}$

__

Discussion

8198.	If ΔPAB and ΔQBA are similar triangles and AB is the diameter of the circle, what is the ratio of PA to PB?
Answer» If ΔPAB and ΔQBA are similar triangles and AB is the diameter of the circle, what is the ratio of PA to PB?

Discussion

8199.	Question 2 n2−3n4+5n6=21
Answer» Question 2 $\frac{n}{2} - \frac{3 n}{4} + \frac{5 n}{6} = 21$

Discussion

8200.	3x-2=16
Answer» ^3x-2=16

Discussion

Explore topic-wise InterviewSolutions in .

Calculate 15.05 – 14.84

Asha got 86.875 % marks in the annual examination. If she got 695 marks, find the total number of marks of the examination

If the angles of a triangle are in the ratio 2 : 3 : 4, determine all the angles of the triangle.

If Meena gives an interest of Rs 45 for one year at 9% rate p.a what is the sum she has borrowed? [4 MARKS]

Question 56 (c) Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. p3q2r+pq2r3+3p2qr2−9p2qr2

A shopkeeper bought some mangoes at a rate of 8 mangoes for ₹5 and then sold them at a rate of ₹9 per dozen. Find his percentage of profit or loss.

There are 435 representatives and 100 senators serving in the United State congress. If we want to make the largest number of committees possible with equal number of representatives in each committee and an equal number of senators in each committee, how many committees can we make?5

Question 2(iv)State True or False.There is no perfect cube which ends with 8.

What is a set?

Which of the following pairs of sets are disjoint?

A tower subtends an angle of 30° at a point on the same level as the foot of the tower. From a second point, h m above the first, the angle of depression of the foot of the tower is 60°, the horizontal distance of the tower from the point is

Select the correct representation of a number x, which is not more than 10, on the number line.

in a triangle ABC, if AB = 7 cm and AC = 5 cm, then the length of BC can be

Question 12 (−11)×7 is not equal to (a) 11×(−7) (b) −(11×7) (c) (−11)×(−7) (d) 7×(−11)

What is radius of curvature of projectile motion?

if triangle ABE is equal and similar to triangle ACD , show that triangle ADE~ABC

Solve the following simultaneous equations.(i) 2x + y = 5 ; 3x - y = 5 (ii) x -2 y = -1 ; 2x - y = 7 (iii) x + y = 11 ; 2x - 3 y = 7 (iv) 2x + y = -2 ; 3x - y = 7 (v) 2x - y = 5 ; 3x + 2y = 11 (vi) x- 2y = -2 ; x + 2y = 10

Sum of four consecutive odd numbers is 40 find the numbers

Find the cost of fencing a square park of side 10 m at the rate of Rs.5 per meter.

Question 85In the following question, state whether the given statements are true (T) or false (F).The standard form for 0.000037 is 3.7×10−5.

If the lengths of the three sides of a triangle are consecutive integers, then find the set of three consecutive integers, from which a triangle can not be formed.

a bag contains 5red,6 white and 7 black balls.Two balls are drawn at random. What is the probability that both balls arevred or both are are black

19-8 is equal to(a) 3+22(b) 13+22(c) 3-22(d) 32-2

Simplify: x2×y2×x5×y3

Question 37State whether the following statement is true (T) or false (F).The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9.

If 640+360 apples were kept in 50 boxes. How many apples were there in each box if all boxes had equal number of apples?

The population of United States is continuously increasing from 1960 to 2020. Which of the following graphs best reflects the situation in this state?

Three times the sum of twice a number and four is eighteen. Find the number.

2,9,30,__,436,2195 Find Missing

Question 82 (i)Subtract5a2b2c2 from −7a2b2c2

Question 76In the following question, state whether the given statements are true (T) or false (F).(−82)0=0

what is meant by 3D motion?

Simplify the expressions and find the value if x is equal to 2 (i) x + 7 + 4 (x − 5) (ii) 3 (x + 2) + 5x − 7 (iii) 6x + 5 (x − 2) (iv) 4 (2x −1) + 3x + 11

The power set of {1,2} is

Using suitable rearrangement, find the sum.47+(−49)+37+(−139)

Write the following decimals in ascending order:5.64,2.54,3.05,0.259 and 8.32

Which congruence criterion is used in the following?Given: EB = BD, AE = CB, ∠A=∠C=90∘

Evaluate:- (3x4)−2 × (x12)23

The adjacent sides of a paralle\log ram are 20 cm and 30 cm and one of its diagonals is 40 cm in len gth. Find the length of other diagonal.

Simplify the following(a) 9.52 + 0.082 + 3.4156 (b) 7.35 − 1.026

Phil received a prize of ₹x per match from a cricket tournament. The tournament cost him ₹100 to enter.What were Phil’s net winnings from the tournament if he played 5 matches before getting disqualified? (Write your answer as an expression.)

A baker sells a box of muffins for $6.50. The manufacturing cost of the muffins is $5. The delivery charge is $0.20. The percentage profit on the muffins is %.

Find the product using a suitable property:854×102

One of the factors of (a2−b2)(c2−d2)−4abcd is ______.

In this case how many time intervals can Sid calculate? Bus123456789101112131415Time(hr:min)8:158:188:238:298:328:408:458:528:549:009:079:139:209:259:32 __

If ΔPAB and ΔQBA are similar triangles and AB is the diameter of the circle, what is the ratio of PA to PB?

Question 2 n2−3n4+5n6=21

3x-2=16