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.

The sum of vectors →a=^i−2^j+^k,→b=−2^i+4^j+5^k and →c=^i−6^j−7^k is

Answer»

The sum of vectors a=^i2^j+^k,b=2^i+4^j+5^k and c=^i6^j7^k is

2.

The perimeter of a triangle is 50 cm. One side of a triangle is 4cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.

Answer» The perimeter of a triangle is 50 cm. One side of a triangle is 4cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.
3.

16)Ifx = cosec(tan-1(cos(cot-1 (sec(sin-1 a))))) and y =sec(cot- 1(sin(tan-1(cosec(cos-1a))) then x2 + y isequal to(1) 3- a2(3) 3 - 2a2(2) 6-2a2(4) 2a217. The total number of ordered pairs of (x, y)satisfying theequation 13 + 12\lbrack tan- x\rbrack-24\lbrack In x\rbrack+ 8\lbrack e\rbrack+ 6\lbrack cos-ylis/are(2) 1(4) Infinitely many(3) 2

Answer» 16)Ifx = cosec(tan-1(cos(cot-1 (sec(sin-1 a))))) and y =sec(cot- 1(sin(tan-1(cosec(cos-1a))) then x2 + y isequal to(1) 3- a2(3) 3 - 2a2(2) 6-2a2(4) 2a217. The total number of ordered pairs of (x, y)satisfying theequation 13 + 12\lbrack tan- x\rbrack-24\lbrack In x\rbrack+ 8\lbrack e\rbrack+ 6\lbrack cos-ylis/are(2) 1(4) Infinitely many(3) 2
4.

Find the first term of an arithmetic progression, if its 7th term is 4 and common difference is -4.

Answer»

Find the first term of an arithmetic progression, if its 7th term is 4 and common difference is -4.



5.

Solve the following quadratic equations by factorization:x2+a+1ax+1=0

Answer» Solve the following quadratic equations by factorization:



x2+a+1ax+1=0
6.

The triangles Δ ABC and Δ PQC are similar by which similarity criteria?

Answer»

The triangles Δ ABC and Δ PQC are similar by which similarity criteria?


7.

Find out the point on the y axis which is equidistant from A(5,-2) and B(-3,2).

Answer»

Find out the point on the y axis which is equidistant from A(5,-2) and B(-3,2).

8.

Graphically, find the number of solution for the following pair of linear equations in two variables:6x – 3y + 10 = 02x – y + 9 = 0

Answer» Graphically, find the number of solution for the following pair of linear equations in two variables:

6x – 3y + 10 = 0

2x – y + 9 = 0
9.

Question 9Two water taps together can fill a tank in 938 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

Answer» Question 9

Two water taps together can fill a tank in 938 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
10.

Subhana started work in 1995at an annual salary of ₹5000and received an increment of₹200each year.in which year did his income reach₹7000

Answer»

Subhana started work in 1995at an annual salary of ₹5000and received an increment of₹200each year.in which year did his income reach₹7000

11.

A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. Then the odds against his winning this bet is

Answer»

A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. Then the odds against his winning this bet is

12.

Explain why 7 × 11 × 13 + 13 is a composite number.

Answer» Explain why 7 × 11 × 13 + 13 is a composite number.
13.

Select the sets of numbers in the following, which can form similar triangles.(i) 3, 4, 6 (ii) 9, 12, 18 (iii) 8, 6, 12 (iv) 3, 4, 9 (v) 2, 4 ½, 4.

Answer»

Select the sets of numbers in the following, which can form similar triangles.



(i) 3, 4, 6 (ii) 9, 12, 18 (iii) 8, 6, 12 (iv) 3, 4, 9 (v) 2, 4 ½, 4.

14.

More than One Answer Typeएक से अधिक उत्तर प्रकार के प्रश्नWhich of the following figure(s) has/have more than 52 triangles?निम्नलिखित में से कौनसे चित्र/चित्रों में 52 से अधिक त्रिभुज है/हैं?

Answer»

More than One Answer Type

एक से अधिक उत्तर प्रकार के प्रश्न



Which of the following figure(s) has/have more than 52 triangles?



निम्नलिखित में से कौनसे चित्र/चित्रों में 52 से अधिक त्रिभुज है/हैं?

15.

The scores of a batsman in 8 innings are given as 48, 40, 36, 35, 46, 42, 36 and 37.Find (i) Average score (ii) Variance and (iii) Standard Deviation of scores.

Answer»

The scores of a batsman in 8 innings are given as 48, 40, 36, 35, 46, 42, 36 and 37.



Find (i) Average score (ii) Variance and (iii) Standard Deviation of scores.

16.

Model Indian, Egyptian, European, and Australian villages are set up in an area 200km2. If the area is equally divided among the four model villages, what is the probability that a person lands on the land occupied by Indians or Europeans?

Answer»

Model Indian, Egyptian, European, and Australian villages are set up in an area 200km2. If the area is equally divided among the four model villages, what is the probability that a person lands on the land occupied by Indians or Europeans?


17.

Find the value of x such that PQ = QR where the coordinates of P, Q and R are (6, −1) , (1, 3) and (x, 8) respectively.

Answer» Find the value of x such that PQ = QR where the coordinates of P, Q and R are (6, −1) , (1, 3) and (x, 8) respectively.
18.

If the LCM of pq and p3q is expressible in the form of (pq)k, then find the value of k.

Answer»

If the LCM of pq and p3q is expressible in the form of (pq)k, then find the value of k.

19.

Illustration }1.39 Solve } \sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1

Answer» Illustration }1.39 Solve } \sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1
20.

From the following Trial Balance of Mr. Alok, prepare Trading and Profit & Loss Account for the year ending 31st March, 2019, and a Balance Sheet as at that date:- Dr. Balances (₹) Cr. Balances (₹) Drawings 5,275 Capital 59,700 Bills Receivable 4,750 Loan at 8% p.a. (on.1.4.2018) 10,000 Machinery 14,400 Commission Received 2,820 Debtors (including X for dishonoured Bill of ₹ 1,000) 30,000 Creditors 29,815 Wages 20,485 Sales 1,78,215 Returns Inward 2,390 Purchases 1,28,295 Rent 2,810 Stock (1.4.2018) 44,840 Salaries 5,500 Travelling Expenses 945 Insurance 200 Cash 9,750 Repairs 1,685 Interest on Loan 500 Discount Allowed 2,435 Bad-Debts 1,810 Furniture 4,480 2,80,550 2,80,550 The following adjustments are to be made:(i) Stock in the shop on 31st March, 2019 was ₹ 64,480.(ii) Half the amount of X's Bill is irrecoverable.(iii) Create a provision of 5% on other debtors.(iv) Wages include ₹ 600 for erection of new Machinery.(v) Depreciate Machinery by 5% and Furniture by 10%.(vi) Commission includes ₹ 300 being Commission received in advance.

Answer» From the following Trial Balance of Mr. Alok, prepare Trading and Profit & Loss Account for the year ending 31st March, 2019, and a Balance Sheet as at that date:-



































































































































Dr. Balances () Cr. Balances ()
Drawings 5,275 Capital 59,700
Bills Receivable 4,750 Loan at 8% p.a. (on.1.4.2018) 10,000
Machinery 14,400 Commission Received 2,820
Debtors (including X for dishonoured Bill of ₹ 1,000) 30,000 Creditors 29,815
Wages 20,485 Sales 1,78,215
Returns Inward 2,390
Purchases 1,28,295
Rent 2,810
Stock (1.4.2018) 44,840
Salaries 5,500
Travelling Expenses 945
Insurance 200
Cash 9,750
Repairs 1,685
Interest on Loan 500
Discount Allowed 2,435
Bad-Debts 1,810
Furniture 4,480
2,80,550 2,80,550



The following adjustments are to be made:

(i) Stock in the shop on 31st March, 2019 was ₹ 64,480.

(ii) Half the amount of X's Bill is irrecoverable.

(iii) Create a provision of 5% on other debtors.

(iv) Wages include ₹ 600 for erection of new Machinery.

(v) Depreciate Machinery by 5% and Furniture by 10%.

(vi) Commission includes ₹ 300 being Commission received in advance.
21.

Nitin, Tarun and Amar are partners sharing profits equally and decide to share profits in the ratio of 2 : 2 : 1 w.e.f. 1st April, 2019. The extract of their Balance Sheet as at 31st March, 2019 is as follows: Liabilities ₹ Assets ₹ Investments Fluctuation Reserve 60,000 Investments (At Cost) 4,00,000 Pass the Journal entries in each of the following situations:(i) When its Market Value is not given;(ii) When its Market Value is ₹ 4,00,000;(iii) When its Market Value is ₹ 4,24,000;(iv) When its Market Value is ₹ 3,70,000;(v) When its Market Value is ₹ 3,10,000.

Answer» Nitin, Tarun and Amar are partners sharing profits equally and decide to share profits in the ratio of 2 : 2 : 1 w.e.f. 1st April, 2019. The extract of their Balance Sheet as at 31st March, 2019 is as follows:
















Liabilities Assets
Investments Fluctuation Reserve 60,000 Investments (At Cost) 4,00,000


Pass the Journal entries in each of the following situations:

(i) When its Market Value is not given;

(ii) When its Market Value is ₹ 4,00,000;

(iii) When its Market Value is ₹ 4,24,000;

(iv) When its Market Value is ₹ 3,70,000;

(v) When its Market Value is ₹ 3,10,000.

22.

Question 2 (iv)Write whether the given statement is true or false. Justify your answer.Every quadratic equation has at most two roots.

Answer»

Question 2 (iv)

Write whether the given statement is true or false. Justify your answer.

Every quadratic equation has at most two roots.



23.

In a circle of radius 7 cm, a square ABCD is inscribed. Find the area of the circle which is outside the square. [CBSE 2011]

Answer» In a circle of radius 7 cm, a square ABCD is inscribed. Find the area of the circle which is outside the square. [CBSE 2011]
24.

A round balloon of radius r subtends an angle α at the eye of the observer while the angle of elevation of its centre is β. Prove that the height of the centre of the balloon is (r sin β cosecα2) [3 MARKS]

Answer»

A round balloon of radius r subtends an angle α at the eye of the observer while the angle of elevation of its centre is β. Prove that the height of the centre of the balloon is

(r sin β cosecα2) [3 MARKS]

25.

If sin (B+C)=√32 and sin A=12, find B+C and A.

Answer» If sin (B+C)=32 and sin A=12, find B+C and A.
26.

Tick the correct answer in the following:Area of a sector of angle p (in degrees) of a circle with radius R is(A) , (B) , (C) , (D)

Answer»

Tick the correct answer in the following:



Area of a sector of angle p (in degrees) of a circle with radius R is



(A) , (B) , (C) , (D)

27.

3x-5y=4 9x=2y+7;by elimination method

Answer»

3x-5y=4

9x=2y+7;by elimination method

28.

Consider the following expressions which calculates one solution of the quadratic equation: ax2+bx+c=0 x=(−b+sqrt(b2−4×a×c))/(2×a)where sqrt is an unary operator which performs the square root.The least number of temporary variables required to create a three address code in static single assignment form for the above expression is ________? 8

Answer» Consider the following expressions which calculates one solution of the quadratic equation:

ax2+bx+c=0



x=(b+sqrt(b24×a×c))/(2×a)



where sqrt is an unary operator which performs the square root.The least number of temporary variables required to create a three address code in static single assignment form for the above expression is ________?


  1. 8
29.

In the given figure, ∠ACB = 900 and CD ⊥ AB. Prove thatBC2AC2=BDAD

Answer»

In the given figure, ∠ACB = 900 and CD ⊥ AB. Prove that



BC2AC2=BDAD
30.

Find the zeroes of the polynomial x2 +x-p(p+1)

Answer» Find the zeroes of the polynomial x2 +x-p(p+1)
31.

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients:x^2-4x

Answer» Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients:
x^2-4x
32.

Lengths of the diagonals of a rhombus are 15 cm and 24 cm, find its area.

Answer» Lengths of the diagonals of a rhombus are 15 cm and 24 cm, find its area.
33.

If BC and OB are equal to 8 cm and 5 cm respectively, then find the value of 3AO in cms.

Answer»

If BC and OB are equal to 8 cm and 5 cm respectively, then find the value of 3AO in cms.


34.

A cubical block of side 7 cm is surmounted by a hemisphere of the largest size. Find the surface area of the resulting solid.

Answer»

A cubical block of side 7 cm is surmounted by a hemisphere of the largest size. Find the surface area of the resulting solid.

35.

Prove that the surface area of a solid hemisphere is equal to the curved surface area of circumscribed cylinder.

Answer»

Prove that the surface area of a solid hemisphere is equal to the curved surface area of circumscribed cylinder.

36.

Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are 3/2 times the corresponding sides of the isosceles triangle.

Answer» Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are 3/2 times the corresponding sides of the isosceles triangle.
37.

The figure below shows a circle centered at O and of radius 5 cm. AB and AC are two chords such that AB = AC = 6 cm. AP is perpendicular to BC. Find the length of the chord BC in cm.9.6

Answer» The figure below shows a circle centered at O and of radius 5 cm. AB and AC are two chords such that AB = AC = 6 cm. AP is perpendicular to BC. Find the length of the chord BC in cm.
  1. 9.6
38.

What are dimensions of a square whose area is equal to that of a rectangle of dimensions (7 cm×4 cm). [Use Construction]

Answer»

What are dimensions of a square whose area is equal to that of a rectangle of dimensions (7 cm×4 cm). [Use Construction]


39.

Question 166 Find a repeater machine that will do the same work as a (× 18) machine.

Answer»

Question 166

Find a repeater machine that will do the same work as a (× 18) machine.

40.

If G be the centroid of a triangle ABC and P be any other point in the plane, prove that PA2 + PB2 + PC2 = GA2 + GB2 + GC2 + 3GP2.

Answer» If G be the centroid of a triangle ABC and P be any other point in the plane, prove that PA2 + PB2 + PC2 = GA2 + GB2 + GC2 + 3GP2.
41.

A box has length, breadth, and height of 10 cm, 20 cm, and 5 cm respectively. The lateral surface area of the box is:

Answer»

A box has length, breadth, and height of 10 cm, 20 cm, and 5 cm respectively. The lateral surface area of the box is:


42.

Question 1 The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

Answer» Question 1
The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

43.

The sum of the first n terms of the series 12+34+78+1516+⋯ is equal to ___.

Answer»

The sum of the first n terms of the series
12+34+78+1516+ is equal to ___.


44.

The sum of the 3rd and 11th term of an Ap is 34. find the sum of its 13 terms

Answer» The sum of the 3rd and 11th term of an Ap is 34. find the sum of its 13 terms
45.

Question 1 (iii)Evaluate the following:(iii) cos45∘(sec30∘+cosec30∘)

Answer»

Question 1 (iii)

Evaluate the following:

(iii) cos45(sec30+cosec30)



46.

Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

Answer»

Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.



47.

what is the formula to find the compound interest

Answer»

what is the formula to find the compound interest

48.

A frisbee disc has a diameter of 26 inches. Find the distance covered by the disc in 3 revolutions.(Take value of π = 22/7)

Answer» A frisbee disc has a diameter of 26 inches. Find the distance covered by the disc in 3 revolutions.

(Take value of π = 22/7)
49.

Two circles touch each other externally at point P in the given figure. AB is the direct common tangent of these circles. Then ÐAPB equals to:

Answer»

Two circles touch each other externally at point P in the given figure. AB is the direct common tangent of these circles. Then ÐAPB equals to:


50.

The probability of a person winning a game is 0.8, the probability of him losing a game is__.

Answer»

The probability of a person winning a game is 0.8, the probability of him losing a game is__.