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.

(4x-1)(x-8)(x-20) ≤0,(x-5)(x-7) (x-25)

Answer» (4x-1)(x-8)(x-20) ≤0,(x-5)(x-7) (x-25) <0,(x-2) (x-9) ≥0
2.

Let P(x)=1+x+x^2+x^3+x^4+x^5. What is the remainder when P(X^12) is divided by P(X)?

Answer» Let P(x)=1+x+x^2+x^3+x^4+x^5. What is the remainder when P(X^12) is divided by P(X)?
3.

If f(x) = 3x, what is f(-2)?

Answer»

If f(x) = 3x, what is f(-2)?



4.

Which of the following cannot be a part of a set of rational numbers?

Answer»

Which of the following cannot be a part of a set of rational numbers?



5.

Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where (px)=x3−2x2−8x−1,g(x)=x+1

Answer»

Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where
(px)=x32x28x1,g(x)=x+1

6.

WHICH ONE OF THE FOLLOWING RELATIONS IS TRUE?a. Y=BS/(2B+S)b. Y=3B[1-2sigma]c. Y=S[1+sigma]d. Y=B^2+S^2/BS

Answer» WHICH ONE OF THE FOLLOWING RELATIONS IS TRUE?
a. Y=BS/(2B+S)
b. Y=3B[1-2sigma]
c. Y=S[1+sigma]
d. Y=B^2+S^2/BS
7.

In a triangle ABC, points X and Y are on AB and AC, respectively, such that XY is parallel to BC. Which of the two following always hold(s) good? (Here [PQR] denotes the area of triangle PQR.)(I) [BCX] = [BCY](II) [ACX] .[ABY] = [AXY] .[ABC]

Answer»

In a triangle ABC, points X and Y are on AB and AC, respectively, such that XY is parallel to BC. Which of the two following always hold(s) good? (Here [PQR] denotes the area of triangle PQR.)


(I) [BCX] = [BCY]


(II) [ACX] .[ABY] = [AXY] .[ABC]



8.

Give a definition for each of the following terms. Are there other terms that need to be defined first? What are they, and how might you define them?(i) parallel lines (ii) perpendicular lines (iii) line segment(iv) radius of a circle (v) square

Answer»

Give a definition for each of the following terms. Are there other terms that need to be defined first? What are they, and how might you define them?



(i) parallel lines (ii) perpendicular lines (iii) line segment



(iv) radius of a circle (v) square

9.

Factorise:x2-2+1x2y2

Answer» Factorise:

x2-2+1x2y2
10.

Which one of the following is not equal to 83-1/2 ?(a) 23-1/2(b) 8-1/6(c) 1(83)1/2(d) 12

Answer» Which one of the following is not equal to 83-1/2 ?



(a) 23-1/2



(b) 8-1/6



(c) 1(83)1/2



(d) 12
11.

A point lies on positive direction of x-axis at a distance of 7 units from the y-axis. What are its Coordinates, if this lies in the negative direction of y-axis at a distance of 7 units from x-axis?

Answer» A point lies on positive direction of x-axis at a distance of 7 units from the y-axis. What are its Coordinates, if this lies in the negative direction of y-axis at a distance of 7 units from x-axis?
12.

ABCD is a quadrilateral such that A is the centre of the circle passing through B, C and D. Which one of the following options is correct?

Answer»

ABCD is a quadrilateral such that A is the centre of the circle passing through B, C and D. Which one of the following options is correct?

13.

What do we call a system of equations that don't have a solution?

Answer»

What do we call a system of equations that don't have a solution?



14.

ABCD is a parallelogram. Find ∠ ADC.

Answer»

ABCD is a parallelogram. Find ADC.



15.

If a1/3 + b1/3 + c1/3 = 0, then(a) a + b + c = 0(b) (a + b + c)3 =27abc(c) a + b + c = 3abc(d) a3 + b3 + c3 = 0

Answer» If a1/3 + b1/3 + c1/3 = 0, then



(a) a + b + c = 0



(b) (a + b + c)3 =27abc



(c) a + b + c = 3abc



(d) a3 + b3 + c3 = 0
16.

Question 3Insert a rational number and an irrational number between the following(i) 2 and 3(ii) 0 and 0.1(iii) 13 and 12(iv) −25 and 12 (v) 0.15 and 0.16(vi) √2 and √3(vii) 2.357 and 3.121(viii) .0001 and .001(ix) 3.623623 and 0.484848(x) 3.375289 and 6.375738

Answer» Question 3

Insert a rational number and an irrational number between the following

(i) 2 and 3

(ii) 0 and 0.1

(iii) 13 and 12

(iv) 25 and 12

(v) 0.15 and 0.16

(vi) 2 and 3

(vii) 2.357 and 3.121

(viii) .0001 and .001

(ix) 3.623623 and 0.484848

(x) 3.375289 and 6.375738
17.

Question 85 (v)Expand the following, using suitable identities.(45p+53q)2

Answer»

Question 85 (v)



Expand the following, using suitable identities.



(45p+53q)2



18.

Find x, y, p and z.

Answer» Find x, y, p and z.




19.

If I got 25 tails and 25 heads in 50 tosses of a coin, can I conclude that I will get 25 tails and 25 heads in my next 50 tosses? Explain.

Answer»

If I got 25 tails and 25 heads in 50 tosses of a coin, can I conclude that I will get 25 tails and 25 heads in my next 50 tosses? Explain.

20.

Choose the correct option. Justify your choice.(i) 9sec2A−9tan2A=(A) 1(B) 9(C) 8(D) 0(ii) (1+tanθ+secθ)(1+cotθ−cosecθ)(A) 0(B) 1(C) 2(D) −1(iii) (secA+tanA)(1−sinA)=(A) secA(B) sinA(C) cosecA(D) cosA (iv) 1+tan2A1+cot2A=(A) sec2A(B) −1 (C) cot2A(D) tan2A

Answer»

Choose the correct option. Justify your choice.

(i) 9sec2A9tan2A=

(A) 1

(B) 9

(C) 8

(D) 0

(ii) (1+tanθ+secθ)(1+cotθcosecθ)

(A) 0

(B) 1

(C) 2

(D) 1

(iii) (secA+tanA)(1sinA)=

(A) secA

(B) sinA

(C) cosecA

(D) cosA

(iv) 1+tan2A1+cot2A=

(A) sec2A

(B) 1

(C) cot2A

(D) tan2A

21.

Simplify √√625

Answer»

Simplify √√625

22.

In the given figure, AB || CD and EF is a transversal, cutting them at G and H respectively. If ∠EGB = 35° and QP ⊥ EF, find the measure of ∠PQH.

Answer» In the given figure, AB || CD and EF is a transversal, cutting them at G and H respectively. If ∠EGB = 35° and QP ⊥ EF, find the measure of ∠PQH.

23.

Question 11Eleven bags of wheat flour, each marked 5kg, actually contained the following weights of flour (in kg): 4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04,5.07, 5.00Find the probability that any of these bags chosen at random contains more than 5 Kg of flour.

Answer»

Question 11

Eleven bags of wheat flour, each marked 5kg, actually contained the following weights of flour (in kg):

4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04,5.07, 5.00

Find the probability that any of these bags chosen at random contains more than 5 Kg of flour.



24.

Given that 4x+1 + 4x = 3y+4 - 3y, where x and y are integers, the value of x - y is

Answer»

Given that 4x+1 + 4x = 3y+4 - 3y, where x and y are integers, the value of x - y is



25.

Find the area of a triangle two whose sides are are 18 cm and 10 cm perimeter is 42 cm.

Answer»

Find the area of a triangle two whose sides are are 18 cm and 10 cm perimeter is 42 cm.

26.

In ∆ FAN, ∠F = 80° , ∠A = 40° . Find out the greatest and the smallest side of the triangle. State the reason.

Answer» In FAN, F = 80° , A = 40° . Find out the greatest and the smallest side of the triangle. State the reason.
27.

Divide 27 into two parts such that the sum of their reciprocals is 320.

Answer» Divide 27 into two parts such that the sum of their reciprocals is 320.
28.

Question 45Name the vertices and the line segments in the given figure.

Answer»

Question 45



Name the vertices and the line segments in the given figure.





29.

Construct a triangle ABC in which BC is 5 cm, ∠B is 60∘ and AB - AC=0 cm. What type of triangle is this?

Answer» Construct a triangle ABC in which BC is 5 cm, B is 60 and AB - AC=0 cm. What type of triangle is this?
30.

Question 71Solve the following:9−3y1−9y=85

Answer»

Question 71



Solve the following:



93y19y=85



31.

In Fig.10.114, if ∠AOB= 125° , then ∠COD is equal to figure(a) 450 (b) 350 (c) 550 (d) 6212°

Answer» In Fig.10.114, if AOB= 125° , then COD is equal to

figure



(a) 450 (b) 350 (c) 550 (d) 6212°
32.

Question 8 (ii)In the given figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB.Show that (ii) AF2+BD2+CE2=AE2+CD2+BF2

Answer» Question 8 (ii)

In the given figure, O is a point in the interior of a triangle ABC, OD BC, OE AC and OF AB.

Show that (ii) AF2+BD2+CE2=AE2+CD2+BF2


33.

If 3x + 7y =14 express y in terms of x check whether m(3,-2) is a point on the given line

Answer» If 3x + 7y =14 express y in terms of x check whether m(3,-2) is a point on the given line
34.

A man is observing, from the top of a tower, a boat speeding towards the tower from a certain point A, with uniform speed. At that point, angle of depression of the boat with the man’s eye is 30∘ (Ignore man’s height). After sailing for 20 seconds, towards the base of the tower (which is at the level of water), the boat has reached a point B, where the angle of depression is 45∘. Then the time taken (in seconds) by the boat from B to reach the base of the tower is :

Answer»

A man is observing, from the top of a tower, a boat speeding towards the tower from a certain point A, with uniform speed. At that point, angle of depression of the boat with the man’s eye is 30 (Ignore man’s height). After sailing for 20 seconds, towards the base of the tower (which is at the level of water), the boat has reached a point B, where the angle of depression is 45. Then the time taken (in seconds) by the boat from B to reach the base of the tower is :

35.

7.If 30 dates are named at random, find the probality that 5 of them will be sundays

Answer» 7.If 30 dates are named at random, find the probality that 5 of them will be sundays
36.

51. In this term 205509 . How many significant figure are there?

Answer» 51. In this term 205509 . How many significant figure are there?
37.

let f(x)=_{k ,x=0}^{3x+4†an x , x≠0 } then f(x) is continous at x=0 for k is

Answer» let f(x)=_{k ,x=0}^{3x+4†an x , x≠0 } then f(x) is continous at x=0 for k is
38.

The volume of a right circular cone is 9856cm3. If the diameter of the base is 28cm, find:(i) height of the cone(ii) slant height of the cone(iii) curved surface area of the cone.

Answer»

The volume of a right circular cone is 9856cm3. If the diameter of the base is 28cm, find:
(i) height of the cone
(ii) slant height of the cone
(iii) curved surface area of the cone.

39.

Find the total area of a metal sheet which is in the form of a square of side 5 m.

Answer»

Find the total area of a metal sheet which is in the form of a square of side 5 m.


40.

Prove that by joining the midpoints of any quadrilateral, we get a parallelogram.

Answer»

Prove that by joining the midpoints of any quadrilateral, we get a parallelogram.







41.

A coin is tossed 500 times and we getheads : 285 times and tails : 215 times. When a coin is tossed at random, what is the probability of getting(i) a head? (ii) a tail?

Answer»

A coin is tossed 500 times and we get



heads : 285 times and tails : 215 times. When a coin is tossed at random, what is the probability of getting



(i) a head? (ii) a tail?



42.

Question 16 In the given figure, ar(DRC) = ar(DPC) and ar(BDP) = ar(ARC). Show that both the quadrilaterals ABCD and DCPR are trapeziums.

Answer» Question 16
In the given figure, ar(DRC) = ar(DPC) and ar(BDP) = ar(ARC). Show that both the quadrilaterals ABCD and DCPR are trapeziums.
43.

The ratio of the radii of two circles is 3 : 2. What is the ratio of their circumference?

Answer» The ratio of the radii of two circles is 3 : 2. What is the ratio of their circumference?
44.

the area of square whose two adjacent vertices are - 1 2 and -1 -1 is

Answer» the area of square whose two adjacent vertices are - 1 2 and -1 -1 is
45.

Find the length of a chord which is at a distance of 3 cm from the centre of a circle of radius 5 cm.

Answer»

Find the length of a chord which is at a distance of 3 cm from the centre of a circle of radius 5 cm.

46.

Find the distance between the points -85,2 and 25,2

Answer» Find the distance between the points -85,2 and 25,2
47.

Factorise:3x2+10x+83

Answer» Factorise:

3x2+10x+83
48.

The vertex A of △ ABC is joined to a point D on the side BC.The midpoint of AD is E.Prove that ar(△BEC)=12ar(△ ABC).

Answer»

The vertex A of ABC is joined to a point D on the side BC.The midpoint of AD is E.Prove that ar(BEC)=12ar( ABC).

49.

If the sphere has a surface area of 256π cm2, what is its volume (approximated value)?

Answer»

If the sphere has a surface area of 256π cm2, what is its volume (approximated value)?

50.

Line segments AB and CD intersect at O such that AC || DB. If ∠CAB = 45° and ∠CDB = 55°, then ∠BOD =(a) 100°(b) 80°(c) 90°(d) 135°

Answer» Line segments AB and CD intersect at O such that AC || DB. If ∠CAB = 45° and ∠CDB = 55°, then ∠BOD =



(a) 100°



(b) 80°



(c) 90°



(d) 135°