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.

EXERCIS!-42Express as a rational number with denominator 7.98

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2.

The price of sugar has risen by 20%. By how much per cent must a housewife reduce her consumptionofsugar, so as not to increase her expenditure on it?

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Price × consumption = constant

initial price = pchanged price = p' = 1.2pinitial consumption= Cchanged consumption= c'

p'c' = pc

1.2p × c' = pc

c' = pc/1.2p

c' = c/1.2 = 0.83c

Reduction in consumption is 17%

I cant understand

Right answer is

Let the original Price of Sugar = x Rs/kg

Let The Original Consumption = y Kgs

Hence Original Expenditure = Rs. (xy)

New Price = x + (20/100)x = 1.2x

Let the new consumption = z

New Expenditure = 1.2xz

But according to question

xy = 1.2xz

⇒ y = 1.2z

⇒ z = y/1.2 = (5y/6)

Let the Percentage Decrease in Consumption = p

y - (p/100)y = 5y/6

⇒ 1 - (p/100) = 5/6

⇒ 1/6 = p/100

⇒ p = 100 / 6 = 50 / 3 = 16.66%

3.

2] which is not a polynomial in x(a)x-7 (b)x2 7 (c) Vx3 -4 (c) V3 x2-1

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4.

(iii)、/2 x2 +7 x + 542 =0

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√2x² + 7x + 5√2 = 0

√2x² + 2x + 5x + 5√2 = 0

√2x ( x + √2) + 5 ( x + √2) = 0

(√2x + 5)(x + √5) = 0

So, x = -5/√2 and x = -√5

5.

warehouse is in the form of a cuboid measuring 240m x 210m x 160m . How many cubeoxes can be stored in it if the volume of one box 0.8m3?

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Volume of the godown = 240x 210 x 160 = 8064000m^3Therefore no: of cuboildalboxes of 0.8 m^3 thatcan fit in the godown = 48000/0.8=10080000

6.

x2+7+10

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x2+17=0x2=-17x= root-17

7.

Factorize: 2(x2(-7

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8.

15. Find the area of the triangle formed by the mid points of the sides of the trianglewhose vertices are A (0, -1), B (2, 1) and C (0, 3).bich are at a distance of 5 unite from

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Let mid point of A and B is PP=(0+2)/2,(-1+1)/2=(1,0)Let mid point of B and C is QQ=(0+2)/2,(3+1)/2=(1,2)Let mid point of C and A is RR=(0+0)/2,(-1+3)/2=(0,1)Now area of triangle PQR(1/2)[1(2-1)+1(1-0)+0(0-2)](1/2)[1+1+0]=1sq. unit

9.

(i) x2-3x + 44x2-2x +7x2+5x-2

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(x^2 - 3x + 4) + (4x^2 - 2x + 7) + (-x^2 + 5x - 2)= (1+4-1)x^2 + (-3-2+5)x + (4+7-2)= 4x^2 + 0*x + 9= 4x^2 + 9

write

10.

7. If x=8+3,7, then find the value of x2+x2

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worg

11.

EXERCISions. Check your result i2, 8x-3 9-2x

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8x-3=9-2x8x+2x=9+310x=12x=12/10=6/5

12.

EXERCIS1. Evaluate the followingi. 5-2

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The value is 5^-2=1/5^2 = 1/25

13.

14. What is the minimum calorie intake decidedby the Planning Commission for rural and urbanareas?

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The minimum calorie intake decided by the planning commission for rural and urban areas are 2400 and 2100 respectively.

14.

3) In a bag of 45 eggs, are bad. How manyare bad and how many are good?

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Out of 452/5 are badthat means 2/5*4518 are bador(45-18)are good27 are good

15.

Find area of the triangle formed by theCo-ordinate axes and the line 2x+ 3y = 6

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given equation is=2x+3y=6---(1)

we rewrite the equation ,=3y=-2x+6

y=-(2/3)x+2

in these equation,slope=-2/3

the coordinating point here is (o,2)

set y=0 then ,0=-(2/3)x+2

2/3x=2

x=3

here the coordinating point is,(3,0)

using this coordinate we draw one graph,then

from the graph height will be come,2

and length will be come,3

area =2*3/2=3

16.

Find the equations of the lines passing throughpoint (-2, 0) and equally inclined to theco-ordinate axes.

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17.

Draw the graph of the equationand hence find the length of its portion intercepted between the coordinate axes

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if a line is of the form x/a +y/b = 1 then x intercept is a , and y intercept is b.

so here x intercept = 3 and , y intercept = 4

18.

19.Find the equations of the lines passing throughpoint (-2, 0) and equally inclined to theco-ordinate axes.

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19.

Find the radius of the circle inscribed in the24 and15triangle formed by the line 3x + 4y=24the co-ordinate axes.

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AB & AC are coordinate axes. BC line represents 3x + 4y =24For x=0, y= 6& for y=0, x= 8Hence, the vertices of right triangle are A(0,0), B(8,0) & C(0,6)So, AB =8, AC = 6 & BC = 10 ( by Pythagoras law)And ADOF will be square with side r.Inscribed circle is with centre O & radius rSince inscribed circle centre lies on the angle bisectors of the triangle.So, triangle ODB is congruent to triangle OEB (by RHS congruence criterion, or by AAS congruence corollary)So, BD = BE = (8-r)Similarly CF = CE = (6-r)Therefore, BE + CE = (8-r) +(6-r)=> BC = 14 -2r=> 10 = 14–2r=> 2r = 4=> r= 2

20.

Find the value of x3 +_ when x2 +-=7, x >0.0

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21.

49. If (x + 3) divides p(x) = x3 + 4x2 + 7 andq(x) = x2 - 4x + a, the remainder in each case issame. Find the value of a.

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mujhe nahi aata ha bhai

22.

Section-B7. If (x-a) is a factor of x3-5x2a + 4a2x + m then find valueof m.

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23.

EXERCISE 2.3Find the remainder when +3x2+3x +1 is divided by(ii) x2(iv) x+T(v) 5+ 2xFind the remainder when x3-ax2 + 6x-a is divided by x-a.Check whether 7 +3x is a factor of 3x3 +7x.

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the first answer is 0

24.

the Hef of (155,1305) is 5.85J 10 12-104f the HGf Of 210 and 55 is expuessible in the farm210X5+55y , find y

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25.

What is in theIn period?dans are inTuesdayWhat is in thethousands period?WednesdayWhat is the Vie of theunderlined digit?4,083,8179,827,2739,201,7792,008,277Find the Product34Find the product27X5Find the ProdLB2X3x 7Find the QuotientFind the QuotientFind the Quotient3)349)835)47Compare the numbersusing orOrder the numbers fromGREATEST 10 LEAST39,008; 39,801:37.999Compare the numbersusing or889,0289.939,002899,0281,393,005600.377.62017,938 150ile this number inndard formWrite this number inexpanded formWrite this numberform4,408,730284.022 ten thousands, 8thousands, 14undreds, 7 onesOs ch number on the number ine use the numberlin

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11⅓ is the right answer

11 _________3) 34 quotient = 11 - 3 remainder = 1 ______ 04 - 3 ---------- 01

26.

13. If H.C.F of 210 and 55 is expressible in the form 210x5+55y, then find the value of y

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27.

15. The price of petrol goes up by 10%. By how much per cent must a motorist reduce theconsumption of petrol so that the expenditure on it remains unchanged?

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28.

The price of sugar goes up by 20%. By how much per cent must a housewifereduce her consumption of sugar so that the expenditure on sugar remainsthe same?15.

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29.

The price of sugar goes up by 20% By how much per cent must a houseugeMPLE15.reduce her consumption of sugar so that the expenditure on sugar remainisthe sume?

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Price × consumption = constant

initial price = pchanged price = p' = 1.2pinitial consumption= Cchanged consumption= c'

p'c' = pc

1.2p × c' = pc

c' = pc/1.2p

c' = c/1.2 = 0.83c

Reduction in consumption is 17%please like the solution 👍 ✔️

30.

2. What is the co-ordinate of origin of co-ordinate axes?

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Its 0,0 for originx= 0 y= 0

(x, y)=(0,0) is the coordinate of origib of coordinate axes

31.

EXERCIS32

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6x³ × 5x² = 30x⁵

Multiply the numbers and write the variable with its powers added.

the value of (6x^3)(5x^3) is 30x^5

32.

Find the value of y if the HCF of 210 and 55 is expressible in the form 210 x5 + 55y

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210 = 55 * 3 + 4555 = 45 * 1 + 1045 = 10 * 4 + 510 = 5 * 2

hence 5 is the HCF.

5 = 45 - 10 * 4 substitute the values of 10 and 45 from above equations. = 210 - 55 * 3 - (55 - 45 ) 4 = 210 - 55 * 3 - 55 * 4 + 45 * 4 = 210 - 55 * 7 + (210 - 55 * 3) * 4 = 210 * 5 - 55 * 19

so x = 5 and y = -19

Let us first find the HCF of 210 and 55.

Applying Euclid division lemna on 210 and 55, we get

210 = 55 × 3 + 45 ....(1)

Since the remainder 45 ≠ 0. So, again applying the Euclid division lemna on 55 and 45, we get

55 = 45 × 1 + 10 .... (2)

Again, considering the divisor 45 and remainder 10 and applying division lemna, we get

45 = 4 × 10 + 5 .... (3)

We now, consider the divisor 10 and remainder 5 and applying division lemna to get

10 = 5 × 2 + 0 .... (4)

We observe that the remainder at this stage is zero. So, the last divisor i.e., 5 is the HCF of 210 and 55.

∴ 5 = 210 × 5 + 55y

⇒ 55y = 5 - 1050 = -1045

⇒ y = -19

33.

How many terms of the AP 2, 4, 6, 8. ... are needed to get sum 210 ?समांतर श्रेढी 2, 4, 6, 8, ... के कितने पदों का योग 210 है ? |

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34.

EXERCIS①Find the distance between the following(0)(2, 3, 5) and (4,3, 1)

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hit like if you find it useful

35.

QuestloR T7. If H.C.F. of 210 and 55 is expressible in the form 210 x5 +55y, find the value of y

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Let us first find the HCF of 210 and 55.

Applying Euclid division lemna on 210 and 55, we get

210 = 55 × 3 + 45

55 = 45 × 1 + 10

45 = 4 × 10 + 5

10 = 5 × 2 + 0

We observe that the remainder at this stage is zero. So, the last divisor i.e., 5 is the HCF of 210 and 55.

∴ 5 = 210 × 5 + 55y

⇒ 55y = 5 - 1050 = -1045

∴y = -19

36.

15. The price of petrol goes up by 10%. By how much per cent must a motorist reduceconsumption of petrol so that the expenditure on it remains unchanged?

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37.

The price of petrol goes up by 10%. By how much per cent must a motorist reduce theconsumption of petrol so that the expenditure on it remains unchanged?

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ganta ganta ganta ga

38.

(C) 2 Cosec 84511. If sin θ-_ and θ lies in the third quadrant, thenINCERT Exemplar)cos o is equal to222

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39.

SECTION -A /죟_Teh /1(a)Minister who announced the CommunalThe British PrimeAward in 1932 was-

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TheCommunal Awardwasannouncedby theBritish Prime Minister, Ramsay MacDonald, in August1932.

40.

—————————————rr .......... Prove that (i) sin660° cos 330° + sin 150°cos 120° = -1

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Like if you find it useful

Tq

41.

-26. If the radii of the ends of a bucket 20 en high are8 cm and 24 cm. Find theolume and surface area of bucketthoir corresndin sides are proportional

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Answer =2775.8 cm square

42.

ing distribution gives the daily income of 50 workers of a factory1. The followingDaily income (in)100-120 120-140140-160 160-18) 180-200Number of workers1214Comvert the distribution above to a less than type cumulative frequency distribuionand draw its ogive.thoir weights were recorded

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43.

0, 6, 24, 60, 120, 210,?(A) 330(C) 334(B) 332(D) 336

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D is the correct answer

44.

Exercis3 cm1. Describe what values youwould substitute in the formula,A = bh, to find the areaof the parallelogram given inFig. 18.14.7 cmFig. 18.14

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base( b)=7cmheight (h)=3cmarea of parallelogram=base × height=>b×h=>7cm×3cm=21cm^2

45.

Markac 25. Find a quadratic polynomial, the sum andproduct of whose zeroes are /2 andrespectively. Also, find its aeroes2INCERT Exemplar Problem]

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We know that every quadratic equation is based on this relation..

p(x) = kx² - (α+β)x +αβwhere, α and β are the zeroes of given polynomial.

Now putting values of (α+β)and αβ in above equation, we get ...

p (x) = x² - (√2)x + (-3/2) = 0x² -√2x - 3/2 = 0

Let us multiply both sides by 2, we get...

2x² - 2√2x -3 = 0

Hence, the required polynomial is 2x² - 2√2x -3.

46.

15. In the givenfigure, AOB is adiameter of thecircle and C, D,. AE are any threepoints on thesemicircle. Findthe value of ZACDZBEDINCERT Exemplar Problem]

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47.

K COS Xif x #26 For what value of k, function f(x) =Nana3.is continuous at xNa

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48.

6. For a particle to overcome the gravitational pull of the earth It is projected with a minimum velocityName the minimum velocity

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escape velocity and that is 11.2km/ second

49.

The modern world is full of inseluity, lell,ways in which we attempt to overcome them?uouiin thoir own way To my mind d

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We can overcome the anxieties and insecurities by our inevitable existence in the modern world by getting involved in some practical and beneficial activities. Cultivating hobbies, spending time with family and friends, going on trips and excursions, pursuing meditation and exercises help us live a balanced and healthy life. Reading good books is equivalent to having good friends with great insight. They not only enrich us with the vast store of knowledge but also help us to learn from other’s experience and stay rooted to some basic qualities of humanity. Joining hobby classes or gym, attending social events like birthdays and weddings, going for outdoor games, interacting meaningfully through social-networking sites and writing diaries etc can also help us relieve our worries and stay focussed and disciplined in life. Simple activities like listening to music, playing with pets, an occasional dinner out, watching cinema or plays or going to places like parks etc can go a long way in helping us get rid of stress, boredom and insecurities.

50.

1. निम्नलिखित का भाग कीजिए| (i) -75+(5) (ii) 1304(10)(iii) -330 +11 | (iv)- 625 (25)(v) 865 (865) (vi) 0+ (-200) ।

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