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.

years may equabeing at 4%. Ans-Rs 2028 & Rs 187526, The difference between the Cl & SI on a certain sum at 5% р.a8for 2 years is Rs 1.50. Find the sum. Ans.- Rs 60027. Find the difference between the CI & Sl for the sum Rs 1500av10% p.a. for 2 years. Ans-Rs 1500thCKIkrris.-

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2.

gfe 1ix+2 8% o X ol g}T

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11x+2/3x=411x+2=12x12x-11x=2x=2

3.

What should be added to 17 so that sum may be 20?5

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4.

what shold be added to 5/6 so that the sum may be 0?

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add -5/65/6+(-5/6)=5/6-5/6=0

full ans

5.

The sum of first three terms of a geometric sequence is 12he common ratio and the terms.13and their producton We may take the firit ts of the geometric sequence asa, ar-

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Let the three terms be a/r,ar and a

When we take the product of three terms the common ratio gets cancelled

a/r*a*ar=a³=(-1)^3=-1

a=-1

sum of three terms is 13/12

a+a/r+ar=13/12

-1-1/r-r=13/12

-1/r-r=13/12+1

-1/r-r=25/12

(r-9)(r-16)=0

r=9 or r=16

the terms for r=9

-1,-9,-1/9

for r=16

-1,-16,-1/16

6.

(d) eight(c) zeroIn a digital display which digit can display all 10 digits from 0 to 9.(b) six(a) nineair square so that the sum of the numberspals may be 15.Am)pay be 15.

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in a digital display which digit can display all 10 digit from 0 to 9

nine is a digit which can display all digits from 0 to 9

7.

Q.14- 7 years ago Varun's age was five times the square of Swati's age. 3 years hence, Swati'sage will be two fifth of Varuns age. Find their present ages.thr, Show that the sum of the m

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8.

30. Ifp and q are the lengths of theperpendiculars from the origin to the linesxsec θ + y cosec θ = a andx cos θ-y sin θ = a cos 29, then(c) p+ 4q2 a(b) 4p+ a(d) pq 4a2

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9.

c=acos θ - b sin θ and y= a sin θ + b cos θow that x2 + y2 = a2+ b2.

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thanks

10.

. What is the value of two-fifth of sixty five percent of 750?

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65% of 750hence 65/100*750=487.5now 2/5th of 487.5it is 2/5*487.5=195

11.

(vi) Give two equivalent versions of Euclid's fifth postulate.

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1.for every line l and every point P not lying on it there exists a unique line m which passes through point P and is parallel to l2.two distinct intersecting lines cannot be parallel to the same line

12.

acos A-b sin A = c, prove that a sin A + b cos A =bva^2 + b^2-c^2

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13.

The line through (4, 3) and (-6, 0) intersects the line 5x + y = 0. Find the angleof intersection.

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line passing through (4,3) and (-6,0)(y-0)=(0-3)/(-6-4)*(x+6)y=3(x+6)/1010y=3x+183x-10y=-185x+y=0 so y=-5x3x-10(-5x)=183x+50x=18so 53x=18so x=18/53so y=-90/53so intersection point(18/53,-90/53)

Bro it was asked to calculate the angle of their intersection and not the point..

14.

or2x+y-5=014. Find the co-ordinates of the foot of perpendicular froma point (- 1; 3) to the line 3x 4y 16 0.line isy16 0

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15.

If | l, is the mid-point of the line segment joining the points (2, 0) andthen show that the line 5x +3y +2 0 passes through the point (-1, 3p).(20,

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let ( x1 , y1 ) = A( 2 , 0 ) ,

( x2 , y2 ) = B ( 0 , 2/9 ) ;

mid point of joining of A and B = ( x1+ x2 /2 , y1 + y2 /2 )( 1 , p/ 3 )= ( 0 + 2 /2 , 0 + 2/9 / 2 )= ( 1 , 1/9 )p/3 = 1/9

[∵ If ( a , b ) = ( c , d ) then a = c and b = d ]

p = 1/3 --- ( 1 )

according to the problem given ,

put ( -1 , 3p ) in the equation 5x + 3y + 2 =05 ( -1 ) + 3× ( 3p ) + 2 = 0-5 + 3× 3 ( 1/3 ) + 2 =0 [ from ( 1 ) ]-5 + 3 + 2 =00 = 0 [ true ]Therefore ,

5x + 3y + 2 =0 line passes through thepoint ( -1 , 3p ) .

16.

\operatorname { tan } ^ { - 1 } ( \frac { \operatorname { acos } x - b \operatorname { sin } x } { b \operatorname { cos } x + a \operatorname { sin } x } ]

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17.

18. Two-fifth of a number subtracted from three-fourth of that numbergives 14. What is the number?

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the number is ; = 30-16= 14

Let the number be x3/4x-2/5x=14(15x-8x)/20=147x/20=147x=14×20x=280/7x=40

18.

.A number exceeds its two fifth by 75. The number is(a) 125(b) 150c) 112d 100

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19.

)State the signs of trigonometric functions(i) sin (159(ii) cos

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1. positive. sin(x) is positive from 0 to 180 degree.2. 11 * 180 / 9 = 220 degrees. cos(x) is negative in the range(90, 270). therefore, answer is negative.

but answer is possitive

(ii) would also be positive as there is a conjugate sign.

20.

1. What should be added to the following numbers so that the sum may be zero ?(b) 1311

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not answer

5upon 7

5by7-13by11this is right

21.

Q.4- If one zero of the polynomial (d+9+13+6a is rciprocal of the other, find the yolur n

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If one of the zero is reciprocal of the other,let one zero beαother zero will be 1/α

Product of roots = c/a⇒α× 1/α = 6a/(a²+9)⇒ 1 = 6a/(a²+9)⇒ a² + 9 = 6a⇒ a² - 6a + 9 = 0⇒ a² - 3a - 3a + 9= 0⇒ a(a-3) -3(a-3) = 0⇒ (a-3)(a-3) = 0⇒ (a-3)²= 0⇒ a = 3

Value of a is 3.

22.

If one zero of polynomial (a2 + 9 ) x2 + 13 x + 6a is reciprocal of the other, Find the value ofa.

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23.

Sum of the present age of ram and raju is 31.3 years ago rams age was 4 times the age of raju .find the present ages

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24.

(1) Sum of the present ages of Ram and Raju is 31. 3 years ago Ram's age was 4 tthe age of Raju. Find their present ages.

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Thanks punam .I wish to send another question

25.

(1) Sum of the present ages of Ram and Raju is 31. 3 years ago Ram's age was 4 timesthe age of Raju. Find their present ages.

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Let present age of ram and raju be x and y respectively.x + y = 31.......(1)Three year ago,(x-3) = 4×(y - 3)x - 3 = 4y - 12x - 4y = -9.......(2)

Eq(1) - Eq(2)5y = 40y = 8So, x = 31 - 8 = 23

26.

) Write expressions for the follownig statements(i) The suin of x and y(ii) 8 more than x(iii)two fifth of x

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In expression formi) x + y

ii) x + 8

iii) 2/5 of x = 2x/5

thank you

27.

- what number should we multiply (-8)-to obtain 12-1?

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(-8)^-1 x X =(-6)^-1; -1/8 × X = -1/6: X=8/6=4/3

(-8)^-x = 12^-1; -1/8 X= 1/12; 12/-8=X=3/-4

28.

1. Multiply 8 by (-) and state whether the product is the2. Reduce the rational number 1 in the standard form.additive inverse of S or not121142

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8*(-1)=-8

8+(-8)=8-8=0

therefore 8*(-1) =-8 is additive inverse of 8

29.

26. Show that equation of line passing through (a cos',a sin) and perpendicular to the line xsec 0 + yeosec-a isxcos e-vsin -acos 20.

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30.

Prove that)sin A sin Bcos Acos B

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31.

acos(cos(12))

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cos–1(cos x) = x

Provided x ϵ [0,π] ≈ [0,3.14]

And in our equation x is 4 which does not lie in the above range.

We know cos[2nπ – x] = cos[x]

∴ cos(2nπ – 12) = cos(12)

Here n = 2.

Also 4π–12 belongs in [0,π]

∴ cos–1(cos 12) = 4π–12

32.

y=acos((a %2B b*cos(x))/(a*cos(x) %2B b))

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33.

3.1 Trigonometric functions of sum and difference:Theorem:For all values of A and B,cos (A-B) = cos Acos B + sin A sin B

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This is the formula. A and B can be found for its implementation.

34.

multiply( x+8 )and( x_8)

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x²- 64 is the correct answer of the given question

the answer is x square -64

x square-64 is the answer

X square- 64 is the correct answer

35.

Multiply the following:(a) 0 and 30(d) (-25) and 8

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36.

Multiply the following:(a) 0 and 30(d) (-25) and 8(b) (-12) and o(e) 32 and (-9)(c) 8 and (-7)(1) (-15) and (-12

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37.

9+35+ x (1)‘ol SBklale ‘T

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38.

when Raju multiply a candle number by 7 and 8 64 to the positively get it was 225 find that number

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39.

. In a class of 35 students, the number of girls is two-fifth of the number ofFind the number of girls in the class.

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Total number of students = 35Let number of boys = nThen number of girls = 2n/5

Givenn + 2n/5 = 357n/5 = 35n = 35*5/7n = 5*5 = 25

Number of girls = 2*25/5= 50/5 = 10

40.

the valtie ol d.Ifab is divisible by (+-ax+b is divisible by (x-x), write the values ofa andk

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41.

of a number is). What is thrice of the number?2

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Explanation : Suppose number is n n/2 = x n = 2x Thrice of a number 3n = 3*2x = 6x

Answer : 6x

If you find this answer helpful then like it

42.

1.1f P (acos eαand ß are eccentric angles of two points A and B on the ellipse xile3,6) be any point on the same ellipse such that the area of triangle PAB is maximum then provethat θα+β2

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43.

f COS ACOS show that the triangle is isoscelesCoS A CS B, show that the tri

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kis class m ho

44.

74What should be added toto get?8

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45.

lect the correct answer from the alternatives givet1.04% of 100ss and0250,A) 0.42. What percent of 1 day (24 hours) is 72 minutes?(B) 4(C) 40(D) 400(A)50%[B)300%(D) 72%(DI 22.5(D) 79 23. A number when increased by 25% becomes 30 The number is(A) 375(C) 25(B) 24(B) 65.8ib) 12.5% of 3 hours and 20 minutes(d) 22,5% 01 100 litres4. A number when decreased by 10% gives 72. The number is(C) s0value of each of the following25% ofia)XX(c)33,% of 500kg6. What percent is each of the following?b) 200 m of 20 km ie) 75 paise of 3 d) 500 ml of 4 litres(a)15 of 60hose 20% is 90

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please crop the question and then send it again

46.

- By what number should-33be divided to get8?

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3/4 is the right answer......

-33/8÷(-11/2)-33/8×(-2/11)3/4

47.

12. What should be added to 7toget 8ON

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48.

12. What should be added to 713 A piece of 3to get 8

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109/15 - 42/5 this is your answer

17/15 is the correct answer of the given question

49.

8 \frac { 3 } { 4 } \text { to get } 26 \frac { 2 } { 8 } ?

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50.

if I take two fifth of a number and add 2 to it I get 8 what is the number I took

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15 is right answer of this question. please like my answer

15 is the answer of the question

15 is the correct answer of the given question

15 is the right answer