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.

Which of the following statements are true (T) and which are false (F)?(i) In a parallelogram, the diagonals are equal.(ii) In a parallelogram, the diagonals bisect each other.(iii) In a parallelogram, the diagonals intersect each other at right angles.(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.(v) If all the angles of a quadrilateral are equal, it is a parallelogram.(vi) If three sides of a quadrilateral are equal, it is a parallelogram.(vii) If three angles of a quadrilateral are equal, it is a parallelogram.(viii) If all the sides of a quadrilateral are equal it is a parallelogram.

Answer» Which of the following statements are true (T) and which are false (F)?



(i) In a parallelogram, the diagonals are equal.



(ii) In a parallelogram, the diagonals bisect each other.



(iii) In a parallelogram, the diagonals intersect each other at right angles.



(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.



(v) If all the angles of a quadrilateral are equal, it is a parallelogram.



(vi) If three sides of a quadrilateral are equal, it is a parallelogram.



(vii) If three angles of a quadrilateral are equal, it is a parallelogram.



(viii) If all the sides of a quadrilateral are equal it is a parallelogram.
2.

Solve the following pair of linear equations.2√x+3√y=24√x−9√y=−1Here, x > 0 and y > 0.

Answer»

Solve the following pair of linear equations.


2x+3y=2


4x9y=1



Here, x > 0 and y > 0.



3.

ABCD is a cyclic quadrilateral such that ∠A = (4y + 20)°, ∠B = (3y − 5)°, ∠C = (−4x)° and ∠D = (7x + 5)°. Find the four angles.

Answer» ABCD is a cyclic quadrilateral such that ∠A = (4y + 20)°, ∠B = (3y − 5)°, ∠C = (−4x)° and ∠D = (7x + 5)°. Find the four angles.
4.

Find equation of a circle which passes through origin and also passes through point of intersection of x/a +y/b=1 with coordinate axis

Answer» Find equation of a circle which passes through origin and also passes through point of intersection of x/a +y/b=1 with coordinate axis
5.

Sketch the graph of |y|=|1-|x-1||

Answer» Sketch the graph of
|y|=|1-|x-1||
6.

The diagonals of a rectangle ABCD meet at O, If ∠BOC = 44°, find ∠OAD.

Answer» The diagonals of a rectangle ABCD meet at O, If ∠BOC = 44°, find ∠OAD.
7.

Question 13Blood groupNumber of studentsA9B6AB3O12Total30The above frequency distribution table represents the blood groups of 30 students of a class. Use this table to determine the probability that a student of this class, selected at random, has blood group AB.

Answer»

Question 13

Blood groupNumber of studentsA9B6AB3O12Total30

The above frequency distribution table represents the blood groups of 30 students of a class. Use this table to determine the probability that a student of this class, selected at random, has blood group AB.



8.

In the given figure, ABCD is a cyclic quadrilateral. If ∠BCD = 100° and ∠ABD = 70°, find ∠ADB.

Answer» In the given figure, ABCD is a cyclic quadrilateral. If ∠BCD = 100° and ∠ABD = 70°, find ∠ADB.

9.

In the given figure, □PQRS and □ABCR are two parallelograms. If ∠P = 110° then find the measures of all angles of □ABCR.

Answer» In the given figure, PQRS and ABCR are two parallelograms. If P = 110° then find the measures of all angles of ABCR.

10.

The decimal expansion of 189/125 will terminate after how many places of decimal?

Answer» The decimal expansion of 189/125 will terminate after how many places of decimal?
11.

Chandana is twice as tall as Raksha. If Raksha is 60 cm shorter than Chandana, how tall is Chandana?

Answer» Chandana is twice as tall as Raksha. If Raksha is 60 cm shorter than Chandana, how tall is Chandana?


12.

Two vertices of a rectangle are (6,-1) and (6,9) and remaining two vertices are on Y axis, then find the area of the rectangle

Answer» Two vertices of a rectangle are (6,-1) and (6,9) and remaining two vertices are on Y axis, then find the area of the rectangle
13.

Question 6If the height of a cylinder becomes 14 of the original height and the radius is doubled, then which of the following will be true ?(a) Curved surface area of the cylinder will be doubled(b) Curved surface area of the cylinder will remain unchanged(c) Curved surface area of the cylinder will be halved(d) Curved surface area will be 14 of the original curved surface

Answer»

Question 6



If the height of a cylinder becomes 14 of the original height and the radius is doubled, then which of the following will be true ?

(a) Curved surface area of the cylinder will be doubled

(b) Curved surface area of the cylinder will remain unchanged

(c) Curved surface area of the cylinder will be halved

(d) Curved surface area will be 14 of the original curved surface



14.

A point O is taken inside an equilateral ΔABC. If OM⊥AC, OL⊥BC and ON⊥AB such that OL = 14 cm, OM = 10 cm and ON = 6 cm, find the area of ΔABC.

Answer» A point O is taken inside an equilateral ΔABC. If OMAC, OLBC and ONAB such that OL = 14 cm, OM = 10 cm and ON = 6 cm, find the area of ΔABC.


15.

In the given figure, if AB = 32 cm, BC = 30 cm, AD = 10 cm and DC = 24 cm, then the area of ABCD is equal to

Answer»

In the given figure, if AB = 32 cm, BC = 30 cm, AD = 10 cm and DC = 24 cm, then the area of ABCD is equal to




16.

two †an gents PA and PBare from an external point P to a circle with centre O, such that angleAPB=x and angleAOB=y.prove that opposite angles are supplementary.

Answer» two †an gents PA and PBare from an external point P to a circle with centre O, such that angleAPB=x and angleAOB=y.prove that opposite angles are supplementary.
17.

In the given figure arc AB and arc CD of a circle having centre at O are equal to 5cm.If ∠AOB=40∘, then the ∠COD is equal to__.

Answer»

In the given figure arc AB and arc CD of a circle having centre at O are equal to 5cm.If AOB=40, then the COD is equal to__.


18.

A hexagonal hole with each side 2m is dug in a school ground to collect rain water. It is 5m deep. Currently it has water, 1 m deep. How much water is collected in the hole?

Answer»

A hexagonal hole with each side 2m is dug in a school ground to collect rain water. It is 5m deep. Currently it has water, 1 m deep. How much water is collected in the hole?


19.

Question 178The angle between the two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 45∘. Find the angles of the parallelogram.

Answer» Question 178

The angle between the two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 45. Find the angles of the parallelogram.
20.

If →a,→b,→c are three vectors of magnitude √3,1,2 such that →a×(→a×→c)+3→b=→0 and θ is the angle between →a and →c, then cos2θ=

Answer»

If a,b,c are three vectors of magnitude 3,1,2 such that a×(a×c)+3b=0 and θ is the angle between a and c, then cos2θ=

21.

ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA (See the given figure). Prove that(i) ΔABD ≅ ΔBAC(ii) BD = AC(iii) ∠ABD = ∠BAC.

Answer»

ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA (See the given figure). Prove that



(i) ΔABD ≅ ΔBAC



(ii) BD = AC



(iii) ∠ABD = ∠BAC.



22.

Cash Book shows a balance of ₹ 12,500. On comparing the Cash Book with the Pass Book, following discrepancies were noted: ₹ (i) Cheques issued but not yet presented for payment. 6,000 (ii) Cheques deposited in the bank but not collected. 9,000 (iii) Bank paid insurance premium. 5,000 (iv) Bank charges. 300 (v) Directly deposited by a customer. 8,000 (vi) Interest on investment collected by bank. 2,000 (vii) Cash discount allowed of ₹ 200 was recorded on the debit side of the Bank column. Prepare Bank Reconciliation Statement.

Answer» Cash Book shows a balance of ₹ 12,500. On comparing the Cash Book with the Pass Book, following discrepancies were noted:











































(i) Cheques issued but not yet presented for payment. 6,000
(ii) Cheques deposited in the bank but not collected. 9,000
(iii) Bank paid insurance premium. 5,000
(iv) Bank charges. 300
(v) Directly deposited by a customer. 8,000
(vi) Interest on investment collected by bank. 2,000
(vii) Cash discount allowed of ₹ 200 was recorded on the debit side of the Bank column.



Prepare Bank Reconciliation Statement.
23.

Find the value of 6x2−3x+4 at x =1, -2, 5, -8

Answer»

Find the value of 6x23x+4 at x =1, -2, 5, -8

24.

Factorise x4y4−xy

Answer»

Factorise
x4y4xy

25.

Let f(x) be a polynomial with real coefficients. Let a,b be two real numbers, a

Answer» Let f(x) be a polynomial with real coefficients. Let a,b be two real numbers, a
26.

If n(U)=700, n(A)=200, n(B)=300 and n(A∩B)=100, then n(A′∩B′)= ___.

Answer»

If n(U)=700, n(A)=200, n(B)=300 and n(AB)=100, then n(AB)= ___.


27.

What are the groups into which large data is condensed called?

Answer» What are the groups into which large data is condensed called?
28.

The remainder when x3+3x2+3x+1 is divided by x+1 is

Answer»

The remainder when x3+3x2+3x+1 is divided by x+1 is


29.

The quadrilateral formed joining the mid-points of the sides of quadrilaterals PQRS, taken in order, is a rhombus, if diagonals of PQRS are _____________.

Answer» The quadrilateral formed joining the mid-points of the sides of quadrilaterals PQRS, taken in order, is a rhombus, if diagonals of PQRS are _____________.
30.

Find the mode of the following data set.1, 2, 6, 9, 5, 9, 4, 18, 14, 2, 8, 11, 7

Answer»

Find the mode of the following data set.


1, 2, 6, 9, 5, 9, 4, 18, 14, 2, 8, 11, 7



31.

If a2= log x, b3= log y and 3a2- 2b3= 6 log z, express y in terms of x and z

Answer» If a2= log x, b3= log y and 3a2- 2b3= 6 log z, express y in terms of x and z
32.

The diagonals of a rectangle ABCD intersect at O. If ∠BOC=68∘, then ∠ODA is

Answer» The diagonals of a rectangle ABCD intersect at O. If BOC=68, then ODA is
33.

Question 1Write whether the following statement is True or False?The point (0, 3) lies on the graph of the linear equation 3x + 4y = 12.

Answer» Question 1

Write whether the following statement is True or False?

The point (0, 3) lies on the graph of the linear equation 3x + 4y = 12.
34.

In the given figure MN and PQ are parallel, find X + Y. 105

Answer» In the given figure MN and PQ are parallel, find X + Y.

  1. 105
35.

If sin17∘=xy, then find the value of sec17∘−sin73∘.

Answer» If sin17=xy, then find the value of sec17sin73.
36.

If the point (4,5) lies on the graph of the equation 5y = ax+9, find the value of a. [3 MARKS]

Answer»

If the point (4,5) lies on the graph of the equation 5y = ax+9, find the value of a. [3 MARKS]


37.

Look at the circles drawn by your friends. Who has drawn the best circle?

Answer»

Look at the circles drawn by your friends. Who has drawn the best circle?

38.

The distance between the origin and P (3,√5,2) is ___ units.

Answer»

The distance between the origin and P (3,5,2) is ___ units.


39.

Raw materials, factory buildings, trains are examples of

Answer»

Raw materials, factory buildings, trains are examples of


40.

If x-2 and x-1/2 are factors of px2 + 5x + r, show that p=r

Answer»

If x-2 and x-1/2 are factors of px2 + 5x + r, show that p=r

41.

Mahesh who keeps his books on Single Entry System sells goods at Cost plus 50%. On 1st April, 2017 his Capital was ₹4,00,000 and on 31st March, 2018 it was ₹3,50,000. He had withdrawn ₹20,000 per month besides goods of the sale value of ₹60,000. How much did he earn in 2017-18?

Answer» Mahesh who keeps his books on Single Entry System sells goods at Cost plus 50%. On 1st April, 2017 his Capital was ₹4,00,000 and on 31st March, 2018 it was ₹3,50,000. He had withdrawn ₹20,000 per month besides goods of the sale value of ₹60,000. How much did he earn in 2017-18?
42.

Which of the following is not zero?(a) 0 × 0 (b) 02 (c) 6-62 (d) 4 + 0

Answer» Which of the following is not zero?



(a) 0 × 0 (b) 02 (c) 6-62 (d) 4 + 0
43.

One angle of a parallelogram is 30o less than twice the smallest angle then the measure of each angle of the parallelogram is

Answer»

One angle of a parallelogram is 30o less than twice the smallest angle then the measure of each angle of the parallelogram is


44.

Working in pairs, go through the table below that gives you information about the top women tennis players since 1975. Write a short article for your school magazine comparing and contrasting the players in terms of their duration at the top. Mention some qualities that you think may be responsible for their brief or long stay at the top spot. Top-Ranked Women Players I. The roll of honour of women who enjoyed life at the summit since everybody’s favourite player, Chris Evert, took her place in 1975. Name Ranked on Weeks as No. 1 Maria Sharapova (Russia) 22 August 2005 1 Lindsay Davenport (U.S.) October 2004 82 Amelie Mauresmo (France) 13 September 2004 5 Justine Henin-Hardenne (Belgium) 20 October 2003 45 Kim Clijsters (Belgium) 11 August 2003 12 Serena Williams (U.S.) 8 July 2002 57 Venus Williams (U.S.) 25 February 2002 11 Jennifer Capriati (U.S.) 15 October 2001 17 Lindsay Davenport (U.S.) 12 October 1998 82 Martina Hingis (Switzerland) 31 March 1997 209 Arantxa Sanchez-Vicario (Spain) 6 February 1995 12 Monica Seles (U.S.) 11 March 1991 178 Steffi Graf (Germany) 17 August 1987 377 Tracy Austin (U.S.) 7 April 1980 22 Martina Navratilova (U.S.) 10 July 1978 331 Chris Evert (U.S.) 3 November 1975 362

Answer»

Working in pairs, go through the table below that gives you information about the top women tennis players since 1975. Write a short article for your school magazine comparing and contrasting the players in terms of their duration at the top. Mention some qualities that you think may be responsible for their brief or long stay at the top spot.



Top-Ranked Women Players



I. The roll of honour of women who enjoyed life at the summit since everybody’s favourite player, Chris Evert, took her place in 1975.










































































































Name



Ranked on



Weeks as No. 1



Maria Sharapova (Russia)



22 August 2005



1



Lindsay Davenport (U.S.)



October 2004



82



Amelie Mauresmo (France)



13 September 2004



5



Justine Henin-Hardenne (Belgium)



20 October 2003



45



Kim Clijsters (Belgium)



11 August 2003



12



Serena Williams (U.S.)



8 July 2002



57



Venus Williams (U.S.)



25 February 2002



11



Jennifer Capriati (U.S.)



15 October 2001



17



Lindsay Davenport (U.S.)



12 October 1998



82



Martina Hingis (Switzerland)



31 March 1997



209



Arantxa Sanchez-Vicario (Spain)



6 February 1995



12



Monica Seles (U.S.)



11 March 1991



178



Steffi Graf (Germany)



17 August 1987



377



Tracy Austin (U.S.)



7 April 1980



22



Martina Navratilova (U.S.)



10 July 1978



331



Chris Evert (U.S.)



3 November 1975



362




45.

In a water heating system, there is a cylindrical pipe of length 28 m and diameter 5 cm.Find the total radiating surface in the system.

Answer»

In a water heating system, there is a cylindrical pipe of length 28 m and diameter 5 cm.Find the total radiating surface in the system.

46.

The rationalising factor for the number 3−7√2 is

Answer»

The rationalising factor for the number 372 is



47.

In the given figure, ΔABC is congruent to ΔPQR. What is the perimeter of ΔABC?

Answer»

In the given figure, ΔABC is congruent to ΔPQR.

What is the perimeter of ΔABC?


48.

If 2-m×12m=14, then 114(4m)1/2+15m-1 is equal to(a) 12(b) 2 (c) 4(d) -14

Answer» If 2-m×12m=14, then 114(4m)1/2+15m-1 is equal to



(a) 12



(b) 2



(c) 4



(d) -14
49.

The length of a chord which is at a distance of 12cm from the centre of a circle of radius 3cm is

Answer» The length of a chord which is at a distance of 12cm from the centre of a circle of radius 3cm is
50.

find the number of zeroes at the end of 10*9*8*7*5*6*4*3*32*1

Answer»

find the number of zeroes at the end of 10*9*8*7*5*6*4*3*32*1