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.

8. In the last three successive weekly tests Suny got 10 out of 15, 1Sout of 20 and 22 out of 25 respectively. In which test his resuwas best ?

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For this find percentage in each testhence1)10/15*100=66.67%2)15/20*100=15*5=75%3)22/25*100=22*4=88%hence best was 3rd test

22 out of 25you have to find the percentage of each one. 10/15=66.67%15/20=75%22/25=88%

2.

X 13.Factorize x'+6x +11x+6

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(x+1) (x+2) (x+3) is correct answer

(x+1)(x+2)(x×3) is this answer

7

3.

Two tangents PA and PB drawn from point P to a circle with centre O are inclined to each other at an angle 80 and angle POA will be?

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2

4.

xxi) x2-(y3 +2 x+2 3-0

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5.

A)160-y32C)B)A)2

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6.

er verify that x3 +y3+2-3xyz = 2 (x + y + z)(x-p" + (y-zj + (z-y?]

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7.

13-1f x + y + z0, show that x3 + y3 +23xyz.

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Given, x³+ y³+ z³= 3xyz

Therefore, x³+ y³+ z³- 3xyz =0

This means,x³+ y³+ z³- 3xyz = (x + y + z) (x2+ y2+ z2- xy - yz - zx)

Now if x + y + z = 0, then......

x³+ y³+ z³- 3xyz = ( 0 ) (x²+ y²+ z²- xy - yz - zx) . .... [ subsituting the value of x + y + z ]

x³+ y³+ z³- 3xyz = 0

x³+ y³+ z³= 3xyz . please like the solution 👍 ✔️👍

8.

lf x + y + z-0,find the value of x3 + y3 + 2.

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Given x+y+z=0. ------(1)thenx+y= -z

cubing on both side(x+y)^3= -z^3

formula =(x+y)^3= x^3+3xy(x+y)+ y^3

so here alsox^3+3xy(x+y)+y^3 = -z^3

x^3+3xy( -z)+y^3= -z^3

hencex^3+ y^3+ z^3== 3xyz

9.

6. Rationalise the denominator of2+y3

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pagal

10.

. Find the equations of the tangent and normal to the curve x3 + y3 = 2 at(1,1)22

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11.

1·96-3) = 152.7 = 154.7-3x = 1818=40-3x7, 2.48.3x + 10=12.5x (-14)33 3 7110

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12.

Asha is 8 years younger than Sandhya. If the sum of their ages is 62, then find their ages

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13.

A=\left[ \begin{array}{cccc}{1} & {3} & {5} & {1} \\ {2} & {4} & {8} & {0} \\ {3} & {1} & {7} & {5}\end{array}\right]

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rank is 3

14.

EXERCISE 1.21) Find the length of an are of circle which subtendsan angle of 108° at the centre, if the radius of thecircle is 1S ems

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We Know That

Angle(in Radian) = Arc/ Radius

108° = 108π/180= 3π/5

3π/5 = Arc/159πcm = Arc28.28cm = Arc

15.

AMPLE13Factorize: (x2-4x)(x2-4x-1)-20

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(x*x-4x)(x*x-4x-1) - 20 = x*x*x*x - 8x*x*x + 15x*x + 4x - 20 = x*x*x*x - 2x*x*x - 6x*x*x + 12x*x + 3x*x - 6x + 10x - 20 = (x*x*x-6x*x+3x+10)(x-2) = (x*x*x - 2x*x - 4x*x + 8x - 5x + 10)(x-2) = (x*x-4x-5)(x-2)(x-2) = (x-5)(x+1)(x-2)(x-2)

16.

d) The length of one side of rectangle is twice of its adjacent side. If perimeter ofrectangle is 60 ems. Find its area.

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17.

Abhishek got a total of 256 marks in Computer, Geography, English and Maths. If he gotequal marks in every subject, how many marks did he get in Geography and Englishtogether?12.

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18.

The fis m otwnAPof 20 ems is 2 ant its last ten is $9. Find is 6th tern fiom the enside is ooual to the sum of the squares of the o

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Ans :- a= 2nth term an = a + (n - 1)da19 = 59=> a + 19d = 59=> d = (59 - 2)/19=> d = 3

sixth term from end = last term - 5d = 59 - 5×3 = 59 - 15 = 44

19.

acto use

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20.

Ex. 22. A third of Arun's marks in Mathematics exceeds a half of his marks inEnglish by 30. If he got 240 marks in the two subjects together, how many marks didhe get in English?

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21.

Dateshadow on tha sound istudo

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22.

3. Asha got 86.875% mark15% 01 No No875% marks in the annual examination. If she got 695 marks, find the tnumber of marks of the examination.

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23.

The marks obtained by a student of class XI infirst and second terminal examination are 62and 48, respectively. Find the minimum markshe should get in the annual examination tohave an average of at least 60 marks.

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Let the marks of the students be Xhenceaverage of marks=62+48+X/3but minimum average marks is 6062+48+X/3=60x=70minimum of 70 marks should be obtained to get an average of 60

24.

+y + z =0, show that x3 + y3 +25Wシ

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25.

Example 7 The marks obtained by a student of Class XI in first and second terminalexamination are 62 and 48, respectively. Find the number of minimum marks he shouldget in the annual examination to have an average of at least 60 marks.

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26.

67 The marks obtained by a student of Class XI in first and second terminalExample 7 The marks obtained by avomination are 62 and 48, respectively. Find the number of minimum marks he shouldget in the annual examination to have an average of at least 60 marks.

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27.

MATHEMATICSample 13 Find the modulus and argument of the complex numbers:1+i1-i

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28.

(xviii) If x + y-1 + xy, find x3 + Уз-хауз

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29.

dyIf x3 + узЗаху,find a

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hit like if you find it useful

30.

ou may check thatnd (-1) raised to ar-10)3 = (-10) * (-5)4 = (-5) * (-5)Find the value of:26 HowExpress the follos

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2×2×2×2×2×2 =64 is the correct answer of the given question

If my answer is correct so please like my answer

64 hiiiiiiiiiiiii friendssssssssss

64 is the correct answer of this question

2×2×2×2×2×2=64 answer

2 x 2 x 2 x 2 x 2 x 2= 64

2×2×2×2×2×2=64answer

64 is the correct answer

2 x 2 x 2 x 2 x 2 x 2 is the answer

2^6=2×2×2×2×2×2=64 ans

2^6=64 that is answer to your question

your answer will be 64

2×2×2×2×2×2=64 is the correct answer for the question

2×2×2×2×2×2= 64 is the correct answer

64 is the right answer

2×2×2×2×2×2=64 is the right answer

64 is correct and best answer 👍 👍👍 👍👍 👍👍 👍👍 👍

2×2×2×2×2×2=64it is a correct answer

31.

280+50+60+120+180+70-80

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280+50+60+120+180+70-80=690-80=610

610 is the answer of 280+50+60+120+180+70-80

32.

कि. pरी? cP L, o[\,D P

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33.

a 1o s.2223Distance between two points (4, -8), (5, -2)a)7b) 10c) 12d) 14(3. -5), (-7, 4)nd (10, -2

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Distance between the two points=√{(5-4)^2+(-2+8)^2}=√37 =6.08

34.

-Find the value of k, when the distance between the points (3, 2k) and (4, 1) is 10 units400 nd 1500 resnectively, find its mean.

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Distance=√10 D=√(x1-x2)^2+(y1-y2)^2 √(4-3)^2+(1-2k)^2 = √10 Taking squares,1+(1-2k)^2 =10 (1-2k)^2=9 Taking square root,1-2k=3 or 1-2k=-3 2k=-2 or 2k=4 k=-1 or k=2

35.

15 A man sold two of his buffaloes for Rs. 20,000 each. On one, he made a profit of5% and on the other,he lost 10%. Find his overall profit or loss.

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please like my answer if you find it useful

36.

Og If tudo positive integues are inform p = ab 6 g a b thenserify LCM (P-92x HCF CP, 92)Pxq

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I don't know this answer sorry

l cm(p-q) x hcf(p,q); lcm(a^2b^3-a^3b=a(b^2) x hcf(b^2-a^2)=

37.

16(a) Find x and y. y3r xузу12

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| 2x x | | 3 | | 16 || y 3y| | 2 | = | 9 |

(6x + 2x) | 16 |(3y + 6y) = | 9 |

8x = 16x = 16/8 = 2

3y + 6y = 9y = 9/9 = 1

Value of x = 2, y = 1

38.

nd 30101. From a rope 11 m long, two pieces of lengths 2of the remaining rope?m are cut off. What is the length3

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39.

Rs.200 was distributed among 3 persons a b nd c.B received 50% more than c.A received rs.10 more than 150%of what b received. how much money did a receive?

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40.

8, If the complex numbers 1, 22, z3 are in A.P.then they lie on(a) a circle(f) a parabola(b) a line(d) a hyperbola

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If we consider the complex numbers z1, z2and z3to be the points corresponding to A,B and C, then

Since z1, z2and z3are gievn to be in A.P., hence by definition we have,

2z2 =z1+ z3

Hence, this means z2 = (z1+ z3) / 2

This means that B is the mid point of line AC.

We can say that A, B and C are collinear.

This means that the points z1, z2and z3lie on a line.

∴Option (b) is correct.

41.

If x/y+y/x=-1, where x!=0 and y!=0 , then find value of x3-y3

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We know that,x³-y³=(x-y)(x²+xy+y²)........................1Given that,x/y+y/x=-1

(x²+y²)/xy=-1

x²+y²=-xy

x²+y²+xy=0

(x²+xy+y²)=0Multyplying by (x-y) on both sides we get,(x-y)(x²+xy+y²)=(x-y)×0By eq1 we get,x³-y³=0

Hence x³-y³=0.

42.

19, Find x3-y3, if x-y = 5 and xy = 14.

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43.

n examination, a candidate has to pass in each of the 5 subjects. In how many ways can hee positive integerfail

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Total number of ways in which he can fail is

= C(5, 1) + C(5 2) + C(5, 3) + C(5, 4) + C(5, 5)= 5+10+10+5+1= 31

Like my answer if you find it useful!

total subjects =5way to fail=5*5=25

44.

60 Mang05 50 Rs Hoco hany 120 Mangos

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60 mangoes=₹50therefore cost of one mango=50/60=0.833cost of 120 mangoes=0.833*120=99.99=₹100

45.

Profit and Loss ch10-98. A man went to market and purchased an itemof 15000 and sold it at a loss of 10%. Fromthat amount he purchased another item and soldit a profit of 16%. What is the amount of overallprofit made by him in whole dealing?(a) R 650(b) R 660(d) R 720

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By successive formula, overall profit % = -10 + 16 + (-10)(16)/100 [ – for loss] = 6 – 1.6 = 4.4%

So, overall profit = 4.4 *15000/100 = 660

46.

InmaSeg : Ae,and Seann bisert, each atherCP p

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incomplete questionplease provide fig. also

47.

9. If 3A4B 5C, find A : B : C10. İf A : B-3:4, B:C-5:7, find A : B : C.

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48.

ioW th at J Y3 ‘4 §() tan48° tan 237 tan 42°%tan 67° =1i) cos 38° cos 52° —sin 38° sin 52°Lo cechiic S g

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(i) tan 48° tan 23° tan 42° tan 67° = tan (90° - 42°) tan (90° - 67°) tan 42° tan 67° = cot 42° cot 67° tan 42° tan 67° = (cot 42° tan 42°) (cot 67° tan 67°) = 1×1 = 1

(ii) cos 38° cos 52° - sin 38° sin 52° = cos (90° - 52°) cos (90°-38°) - sin 38° sin 52° = sin 52° sin 38° - sin 38° sin 52° = 0

Like my answer if you find it useful!

49.

Prove that y3 is irrational

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Let us assume that √3 is a rational number.

then, as we know a rational number should be in the form of p/q

where p and q are co- prime number.

So,

√3 = p/q { where p and q are co- prime}

√3q = p

Now, by squaring both the side

we get,

(√3q)² = p²

3q² = p² ........ ( i )

So,

if 3 is the factor of p²

then, 3 is also a factor of p ..... ( ii )

=> Let p = 3m { where m is any integer }

squaring both sides

p² = (3m)²

p² = 9m²

putting the value of p² in equation ( i )

3q² = p²

3q² = 9m²

q² = 3m²

So,

if 3 is factor of q²

then, 3 is also factor of q

Since,3 is factor of p & q both

So, our assumption that p & q are co- prime is wrong

Therefore√3 is an irrational numberLike if you find it useful

50.

Factorize=27x3+y3+z3-9xz

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thnx