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.

2 (A) Select and write the most appropriate alternative from those provided in the bracket:If 4x + y = 7 and x + 4y = -2, then the value of x- y =(1,3,5,91

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x-y= 9 is the correct answer

x-y=3 is the correct answer

2.

.In factor tree find x.

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3.

30.In factor tree find x.

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X= 150as 150= 5*5*2*3

4.

30.In factor tree find xmnatin

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hit like if you find it useful

5.

10. Find the values of x, y and z in the following factor tree. Can the value of x be foundwithout finding the values of y and z, if explain.

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2*17=34=z34*2=68=y68*2=136=x

6.

find g c f factor tree32 48 40

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32 = 2*2*2*2*248=2*2*2*2*340 =2*2*2*5GCF =highest common factor in 32,48,40

=2*2*2 =8

7.

Find the prime factorisation of 60 by the both division and factor-tree methods

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Use afactor treeto express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 22× 3 × 5. The actual prime factors of 60 are 2, 3, and 5.

8.

4. Sum and product of zeroes of a quadratic polynomial are 5 and 17 respectively. Find thepolynomial.

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9.

Write rationalizing factor of √8

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rationalizing factor of √8=√8

10.

Find the rationalizing factor of T2

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11.

2) Write rationalizing factor of /8

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Rationalising factor of √8 is √8 i.e. 2√2

rationalizing factor of root8 is 8

12.

What is the least rationalizing factor of 2?

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13.

The rationalizing factor of\sqrt[3]{2} isb) N2d) 256

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2^1/6hence rationalising factor will be 2^6=64=3√4

Write steps

14.

Find the characteristic roots of the following

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here is a solution for a similar ques.

15.

2. You want to show that AARTAPEN,(a) If you have to use SSS criterion, then you need to show(i) AR=(ii) RT=(ii) AT=

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then ,AR=PERT=ENAT=PN

AR =PE RT=ENAT =PN This is answer

thenAR=PERT=ENAT=PN

16.

6. Ifα and β are the zeros of the quadratic polynomial f(x)x2 + x-2, find the value of

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madarchod

17.

If α and β are the zeros of the quadratic polynomial f(x) = x2 + x-2, find the value of

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18.

++LeyULTELIU13. If the sum of the zeros of the quadratic polynomial fproduct, find the value of= kt? + 24 + 3k is equal to their1 TFC

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Given: The sum of the zeroes of the polynomialis equal to their product.

To find: The value ofk.

Letbe the two zeros of the polynomial.

We know that ifαandβare the zeros of a quadratic polynomialf (x), then

Sum of the zeros =

Therefore, using the given polynomial, we get

Also, we know that ifαandβare the zeros of a quadratic polynomialf (x), then

Product of the zeros =

Therefore, using the given polynomial, we get

Now, we know that the sum of the zeroes is equal to their product.

Therefore, we get

Therefore, the value ofk=.

Given f(t) = kt2+ 2t +3k

α,β are the roots of the quadratic polynomial then

α+β =-b/a= -2/k andαβ =c/a= 3k/k

According to the conditionα+β =αβie -2/k=3k/k

k=-2/3

19.

.l the manufacturer gains 10%, the whole-seller gains 15., and the retailer gains 25% on inaticle, then find the cost of production of the article whose rctail price is Rs 1265(a) Rs. 725.00c) Rs 965.00(b) Rs. 800.00(d) Rs. 1012.00

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wat iz da ans....

the correct ans. is option (b). rs.800

20.

Il the manufacturer gains 10%, the whole-seller gains 15% and the retailer gains 25%-onanicle, then find the cost of production of the article whose retail price is Rs 1265 0ta) Rs. 725.00c) Rs. 965.02.(b) Rs. 8U0.00(d) Rs. 101200

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21.

37. For good production of poultry birds, good managepractices are important. The housing, nutritionalenvironmental requirements of broilers are somewhat difffrom those of egg layers. The ration for broilers is proteinwith adequate fat. The level of vitamin-A and K is kept higthe poultry feeds.

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THREE MANAGEMENT PRACTICES ARE AS FOLLOWS

(a) Providing shelter, rich feed and clean drinking water.(b) Maintaining optimum temperature and good hygienic conditions in poultry farms.(c) Providing health care and timely vaccination to farm animals.

22.

The area of the rectangle gets reduced by 9 sq. units if its length is reduced by 5 units and the breadth isincreased by 3 units. If we increase the length by 3 units and breadth by 2 units, the area is increased by67sq, units. Find the length and breadth of the rectangle.6)

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23.

। एक बिंदु से एक वृत्त पर स्पर्श रेखा की लंबाई 24 cm तथा ए की केंद्र से दूरी 25 cm biवृत्त की त्रिज्या है:(A) Tem(B) 12em(0 15cm(D) 24.5cm

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Que is not clear bcz of figure isnt clear

24.

if alpha and beta are the zero of a quadratic polynomial f bracket x equal a x square- BX + c then EV a I u t e Alpha 4 + beta 4

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25.

(c) Y is multiplied by-Q4.Is the value in the bracket satisfy the equation(a) P-3 15 (P 20)(b) 4M-36 ( M-9)

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Ans- a) No P=18 b)Yes M=9

26.

Prove thatnumber.seraisanirrational

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root2 + 3/root2=2+3/root2=5/root2

27.

5In Fig. 13.73, PORS is a square of side 4 cm. Find the area of the shaded squanINCERTS tom1cm R14. Froofshe825 m25mP temtem QFig. 13.73Fig. 13.74

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28.

two arscs.tem

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Area enclosed by two arcs = area of semicircle BQA - area of semicircle BPA

given, radius of semicircle BQA, r = 14cmarea of semicircle BQA = 1/2 × πr² = 1/2 × 22/7 × (14)² = 1/2 × 22/7 × 14 × 14 = 11 × 2 × 14 = 308 m²

radius of semicircle BPA , r' = 7cm area of semicircle BPA = 1/2 πr'² = 1/2 × 22/7 × (7)² = 1/2 × 22/7 × 7 × 7= 11 × 7 = 77 m²

now, area enclosed by two arcs = 308m² - 77m²= 231 m²

this answer is wrong

29.

Find the sum of all natural numbers from 1 to 1000 which are neither divisible 2 nor by 5.

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30.

dhuy os Similan LAAA Tem

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31.

Ces6tem)8 1Ton 3s

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32.

that its kth temim +m-k)

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33.

Find area of Ilgm ABCD.temAE sera

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l.b.h 7.5.5 multiple b

34.

Q4. A metallic solid cone is converted into a solid cylinder of equal radius.If the height of the cylinder is 5 cm. Find the height of the cone.

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35.

RS.IZIEx. 6. The banthe true discount and the banker's gain.ker's discount on Rs. 1650 due a certain time hence is Rs. 165. Find

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36.

e)I am neither prime nor composite

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The number which is neither prime nor composite is 1.

37.

1. The number which is neither prime nor composite is(A) 4 (B) 1(C) 2 (D) 5

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38.

IfA ={x | 3x-1=2) and B ={xlx1s a natural number neither prime nor composite),then show that A = B.)

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A = { x | 3x - 1 = 2 } 3x - 1 = 2 3x = 1 + 2 = 3 x = 1 A = { 1 } B = { 1 } Because 1 a natural number neither prime nor composite. A = B

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39.

acent figure □AEFD and BCGH are parallelogram. If <A = 80° and <B-70°, thenn the values of x, y and z. Also, write what special name you give for DABCD.HOTSG FA80°70%3

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40.

Where permanent magnet is used?a) Relaysc) Solenoids4.b) Ignition coilloving coil instruments

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permanent magnets are used in moving coil instruments also know known as PMMC instruments which means permanent magnet moving coil instruments

41.

If the price of 5 m fabric of special type is Rs 210, what will be the price of 2 m fabric?Ic in hi attle for f days. How long would the foo

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Cost 5 m fabric is Rs 210Cost of 1 m fabric is Rs 210/5 = Rs 42Cost of 2 m fabric is Rs 42 × 2 = Rs 84

42.

Shaptaram a Special CookShantaram is a special cook whocomes only on party days. Last year hewas called for only 28 days. For eachday he has to be paid Rs 165. Find outhow much money he will get in all.

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43.

what is special angle

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Special Angles.Special Angles- 30o, 45o, 60o. The values of the six trigonometric ratios cannot be calculated exactly for mostangles. Nor can the exact value of ananglegenerally be found given the value of one of the ratios

44.

Which of the following can be represented on number line :(a) 23(b) 25(c) both (a) and (b)(d) of these

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option b can be represented in the number line as route 25 is equal to 5 which we can determine in the number line

The correct answer is option (c) both(a) &(b)

option b can be represented in the number line

answer C both can be

answer b can represent on number line

c is the answer of the following

option b is the correct answer of the given question

b can be represented on number line because 5^2=25

b is the right answer

option b root 25 is correct

root 25(b) is the right answer.

45.

8.A balanced die is roled once. Find probability of receiving a number.(i) neither prime nor composite(ii) Even number on face

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A balanced die is rolled once.Sample space,S={1,2,3,4,5,6}i)Let E be the event when number received is neither prime nor composite.E={1}∴P(E)=1/6ii)Let F be an event of even number on face.F={2,4,6}∴P(F)=3/6=1/2

46.

A train passes telegraph post in 40 s moving at a rate of 30 km/h. then the length of the train is

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47.

69. A train passes a telegraph post in 8seconds and a 264 m long bridge in 20seconds. What is the length of train ?

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Length of the Bridge = 264 m.Time taken to pass the bridge = 20 sec.

Time taken to passe the post = 8 sec.Length of the train = X m (Let.)To pass the bridge train need to coverTrain's length + Bridge legnth(X +264).Speed = Distance covered / time takenNow,X/8 = (264 + X)/2020X = 264 *8 + 8X

20X - X = 264 *8

12X = 264 *8X = (264 *8)/12X = 176 m.Speed of the train = 176/8 = 22 m/sec = (22*18)/5 = 79.2 Kmph.

48.

1. A train moseconds respectively, win moves past a telegraph post and a bridge 264 m long in 8 seconds and 20spectively. What is the speed of the train ?69.5 km/hr (b) 70 km/hr(8.8.c. 2004)

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Trains speed is 70 km /hr

Length of the Bridge = 264 m.Time taken to pass the bridge = 20 sec.

Time taken to passe the post = 8 sec.Length of the train = X m (Let.)To pass the bridge train need to coverTrain's length + Bridge legnth(X +264).Speed = Distance covered / time takenNow,X/8 = (264 + X)/2020X = 264 *8 + 8X

20X - X = 264 *8

12X = 264 *8X = (264 *8)/12X = 176 m.Speed of the train = 176/8 = 22 m/sec = (22*18)/5 = 79.2 Kmph.

49.

lasSelements?Construct a 2 x 2 matrix, A -[aj, whose elements are given by(ii) a22(i) aj 2(ii):aij_iven by:

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50.

asune aj eacA angle

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