Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

Question 85(iii) Sonal and Anmol made a sequence of the designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below. Do the points lie on a line?

Answer» Question 85(iii)
Sonal and Anmol made a sequence of the designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.



Do the points lie on a line?
2.

If x and y vary inversely, then find (2pq+qp). x 15 35 p y 32 q 83

Answer»

If x and y vary inversely, then find (2pq+qp).

x 15 35 p
y 32 q 83

3.

Question 58(i) Study the distance-time graph given below for a car to travel to certain places and answer the question that follows. How far does the car travel in 2 h?

Answer» Question 58(i)
Study the distance-time graph given below for a car to travel to certain places and answer the question that follows.



How far does the car travel in 2 h?
4.

In a parallelogram ABCD diagonals AC and BD intersects at O and AC =12.8 cm and BD=7.6 cm, then the measure of OC and OD respectively equal to

Answer» In a parallelogram ABCD diagonals AC and BD intersects at O and AC =12.8 cm and BD=7.6 cm, then the measure of OC and OD respectively equal to
5.

What happens when the power becomes 2 raised to -1

Answer» What happens when the power becomes 2 raised to -1
6.

f ÷(−1)=75. Find f

Answer»

f ÷(1)=75. Find f


7.

Area of a rectangle plot with sides 4x2 and 3y2 is ___x2y2

Answer»

Area of a rectangle plot with sides 4x2 and 3y2 is ___x2y2

8.

Solve, x−43+2x−335=5x−329−x+928.

Answer»

Solve, x43+2x335=5x329x+928.


9.

Subtracting 2x2+6−4x from 3x2−6x+8 gives .

Answer»

Subtracting 2x2+64x from 3x26x+8 gives .

10.

Prove that if both pairs of opposite angles of a quadrilateral are equal, then it is a parallelogram. [3 MARKS]

Answer»

Prove that if both pairs of opposite angles of a quadrilateral are equal, then it is a parallelogram. [3 MARKS]

11.

Expand: (3x−2b+5c)2

Answer»

Expand: (3x2b+5c)2

12.

Muskan and Manya were partners in a firm sharing profits and losses in the ratio of 7 : 3. Their capitals were Rs 2,00,000 and Rs 1,50,000 respectively. They admitted Anviksha on 1st April, 2018 as a new partner for 16th share in future profits. Anvisksha brought Rs 1,00,000 as her capital. Calculate the value of goodwill of the firm on the basis of the new partners' share of profit. It was also given that profit on revaluation was Rs 10,000.

Answer»

Muskan and Manya were partners in a firm sharing profits and losses in the ratio of 7 : 3. Their capitals were Rs 2,00,000 and Rs 1,50,000 respectively. They admitted Anviksha on 1st April, 2018 as a new partner for 16th share in future profits. Anvisksha brought Rs 1,00,000 as her capital. Calculate the value of goodwill of the firm on the basis of the new partners' share of profit. It was also given that profit on revaluation was Rs 10,000.

13.

Simplify and write in exponential form: 43×4−2×162

Answer»

Simplify and write in exponential form: 43×42×162


14.

Match the numbers with their squares. 1. 16a. 3612. 23b. 2563. 19c. 6254. 25d. 529

Answer»

Match the numbers with their squares.
1. 16a. 3612. 23b. 2563. 19c. 6254. 25d. 529


15.

The area of a square playground is 291.0436 square metres. Find the length of each side of the play ground. [4 MARKS]

Answer» The area of a square playground is 291.0436 square metres. Find the length of each side of the play ground. [4 MARKS]
16.

Question 4(a) Simplify : 3x (4x-5) +3 and find values for (i) x=3 (ii) x= 12

Answer»

Question 4(a)
Simplify : 3x (4x-5) +3 and find values for (i) x=3 (ii) x= 12

17.

Solve for x: 3x = 1

Answer»

Solve for x:
3x = 1


18.

In a camp, food is stored for 1 month and for 1500 men. After 10 days, 500 men left the camp. How long did the entire food last?

Answer»

In a camp, food is stored for 1 month and for 1500 men. After 10 days, 500 men left the camp. How long did the entire food last?


19.

The ages of a father and son are respectively 44 and 8 yrs.In how many years hence will the father be 4 times as old his son.

Answer» The ages of a father and son are respectively 44 and 8 yrs.In how many years hence will the father be 4 times as old his son.
20.

If a+1/a=2.Find the value of (a+1/a)^2018

Answer»

If a+1/a=2.Find the value of (a+1/a)^2018

21.

Factorise: p​​​​​​2​​​-6xp​​​​​2 + 9 x​​​​​​​​​2 p​​​​​​2

Answer» Factorise: p​​​​​​2​​​-6xp​​​​​2 + 9 x​​​​​​​​2 p​​​​​​2
22.

2/3x-3/2x=1/12

Answer»

2/3x-3/2x=1/12

23.

Areva 2 metres Deep and 45 metres wide is flowing at the rate of 3 km per hours. Find the amount of water that runs into the sea per minute.

Answer» Areva 2 metres Deep and 45 metres wide is flowing at the rate of 3 km per hours. Find the amount of water that runs into the sea per minute.
24.

Rs 3500 is to be shared among three people so that the first person gets 50% of the second, who in turn gets 50% of the third. How much will each of them get ?

Answer» Rs 3500 is to be shared among three people so that the first person gets 50% of the second, who in turn gets 50% of the third. How much will each of them get ?
25.

Read the following pictograph. How many students like purple colour?

Answer»

Read the following pictograph.

How many students like purple colour?


26.

Which of the following is divisible by 9?

Answer»

Which of the following is divisible by 9?


27.

Quadrilateral ABCD can be constructed if AB, AD, and ___________ is/are given.

Answer»

Quadrilateral ABCD can be constructed if AB, AD, and ___________ is/are given.


28.

A boy buys an old bicycle for Rs.162 and spends Rs.18 on its repairs before selling the bicycle for Rs.207. Find his gain or loss as percent.

Answer»

A boy buys an old bicycle for Rs.162 and spends Rs.18 on its repairs before selling the bicycle for Rs.207. Find his gain or loss as percent.

29.

50 labourers can dig a pond in 16 days. How many labourers will be required to dig an another pond, double in size in 20 days?

Answer»

50 labourers can dig a pond in 16 days. How many labourers will be required to dig an another pond, double in size in 20 days?

30.

Calculate the product of 2x5 and 18x

Answer»

Calculate the product of 2x5 and 18x


31.

There are 750 students in a school. If there are "x" boys and 110 more girls, then which of the following linear equation represents the same.

Answer»

There are 750 students in a school. If there are "x" boys and 110 more girls, then which of the following linear equation represents the same.


32.

Find the compound interest on Rs.1000 at the rate of 8% per annum for 112 years when interest is compounded half-yearly?

Answer»

Find the compound interest on Rs.1000 at the rate of 8% per annum for 112 years when interest is compounded half-yearly?

33.

How square and square root are related to each other?

Answer» How square and square root are related to each other?
34.

Construct a rhombus whose diagonals are of length 10 cm and 6 cm

Answer»

Construct a rhombus whose diagonals are of length 10 cm and 6 cm

35.

Question 144(iii) Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each. NameDistance covered (in km)Seema125Nancy132Megha140Soni120 Who walked farther, Nancy or Megha?

Answer»

Question 144(iii)
Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.
NameDistance covered (in km)Seema125Nancy132Megha140Soni120

Who walked farther, Nancy or Megha?

36.

On multiplying 4/5 with ______ gives multiplicative identity of rational numbers.

Answer»

On multiplying 4/5 with ______ gives multiplicative identity of rational numbers.


37.

State whether the statements are True or False. Question 27 A line graph can also be a whole unbroken line.

Answer» State whether the statements are True or False.
Question 27
A line graph can also be a whole unbroken line.
38.

A certain number of men went to a hotel. Each man spent as much money as one fourth of the men. If the total bill was ₹20449. Then how many men visited the hottel?

Answer»

A certain number of men went to a hotel. Each man spent as much money as one fourth of the men. If the total bill was ₹20449. Then how many men visited the hottel?

39.

Solve x2+3=0

Answer»

Solve

x2+3=0

40.

Find a2+b2+c2; if a+b+c=9 and ab+bc+ca=24

Answer»

Find a2+b2+c2; if a+b+c=9 and ab+bc+ca=24

41.

In parallelogram ABCD, X and Y are mid-points of opposite sides AB and DC respectively. Prove that :(i) AX=YC(ii) AX is parallel to YC(iii) AXCY is a parallelogram.

Answer»

In parallelogram ABCD, X and Y are mid-points of opposite sides AB and DC respectively. Prove that :(i) AX=YC(ii) AX is parallel to YC(iii) AXCY is a parallelogram.

42.

The marked price of an article is Rs.7,000 and is available at 20% discount. Manoj buys this article and then sold it at its marked price. If the rate of tax at each stage is 10%, find the VAT paid by Manoj.

Answer»

The marked price of an article is Rs.7,000 and is available at 20% discount. Manoj buys this article and then sold it at its marked price. If the rate of tax at each stage is 10%, find the VAT paid by Manoj.

43.

Factorise y2 - 2y - 15

Answer»

Factorise y2 - 2y - 15

44.

Factorise the expression: x4+y4−3x2y2.

Answer»

Factorise the expression:
x4+y43x2y2.

45.

Which of the following are squares of even numbers? (i) 196 (ii) 441 (iii) 900 (iv) 625 (v) 324

Answer»

Which of the following are squares of even numbers?
(i) 196
(ii) 441
(iii) 900
(iv) 625
(v) 324

46.

What is the sum of interior angles a convex polygon having 'n' sides?

Answer»

What is the sum of interior angles a convex polygon having 'n' sides?

47.

In triangle ABC, if BC is base, angle B is 60°, AB-AC=0, what is the value of the angle opposite to side BC in degrees? ___

Answer»

In triangle ABC, if BC is base, angle B is 60°, AB-AC=0, what is the value of the angle opposite to side BC in degrees?


___
48.

Question 187 Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and ∠B=60∘.

Answer» Question 187
Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and B=60.
49.

Factorise: m4+2m2n2+n4

Answer»

Factorise:
m4+2m2n2+n4

50.

If the diagonals of a parallellogram HOPE bisect at A, then △HOA≅ and △OPA≅ .

Answer»

If the diagonals of a parallellogram HOPE bisect at A, then HOA and OPA
.