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.

14. The radius of a circle with centre O is 7 cm. Two radii OA and OB aredrawn at right angles to each other. Find the areas of minor and majorsegments

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2.

12. In Fig. 12.30, OACB is a quadrant of a circle with centre O and radius 3.5 cm. IfOD2cm,ind the area of the) quadrant OACB,(ii) shaded region.uc is inscribed in a quadrant OPBQ. If OA-20 cm, find the

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3.

89.What day will be the 81st day from today, iftoday is Monday?

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4.

beame14 Prove that the product of three consecutive positive integer Is dvisivi DJnoritive integer n, prove that n3 n divisible by 6brfis she wants to

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Let us three consecutive integers be, x, x + 1 and x + 2 respectively.

[• Whenever a number is divided by 3 the remainder obtained is either 0 or 1 or 2. ( it's proved )]

Let x = 3p ........................(i)where p belongs to an integer and does not equal to zero ( 0 ).

=> x is divisible by 3.

If x = 3p + 1 where p belongs to an integer and does not equal to zero ( 0 ).

then x + 2 = 3p + 1 + 2 = 3p + 3 = 3(p + 1)which is divisible by 3.

If x = 3p + 2where p belongs to an integer and does not equal to zero ( 0 ).

then x + 1 = 3p + 2 + 1 = 3p + 3 = 3(p + 1)which is divisible by 3.

So that x, x + 1 and x + 2 is always divisible by 3.=> x (x + 1) (x + 2) is divisible by 3.

Similarly, whenever a number is divided 2 we will get the remainder is 0 or 1.

Let x = 2qwhere q belongs to an integer and does not equal to zero ( 0 ).

=> x is divisible by 2

If x = 2q + 1 where q belongs to an integer and does not equal to zero ( 0 ).

then x + 1 = 2q + 1 + 1 = 2q + 2 = 2 (q + 1) which is divisible by 2.

So that x, x + 1 and x + 2 is always divisible by 2.⇒ x (x + 1) (x + 2) is divisible by 2.

Since x (x + 1) (x + 2) is divisible by 2 and 3.∴ x (x + 1) (x + 2) is divisible by 6.

5.

perpendicai(ii) In the adjoining figure, 'O' is the centre of circle. The radius of circle is17 cm. If OC8 cm, then find the length of chord AB.

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6.

AB and CD are two parallel chords of a circle which are on opposites of the centre such that AB 10 cm, CD 24 cm and thadistance between AB and CD is 17 cm. Find the radius of the circle.

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7.

orI Page nos. 261-2621. A toy is made by mountiagbemthe hemisphere is 5 cm. Thethe toy is 17 cm. Flad thearea of the toyRadius gfsphere. Therqdius of thePlad the total sur

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thanks but this answer is wrong you try your best for me thank you again answer is 361.43 cm2

8.

24 chocolates cost840. Find the cost of 36 such chocolates.

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9.

2.If ax - 3a=-12, find the integer value(s) of a for which x is a positive integer.

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10.

7522. If ax - 3a = -12, find the integer value(s) of a for which x is a positive integer.

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ax-3a=-12a(x-3)=-12a=-12/(x-3)

11.

(1) 2? केंद्र वाले वृत्त में जीवा 258और जीवा (9 परस्पर fig Mपर प्रतिच्छेदित करती है। वृत्तकी त्रिज्या 13 सेमी और ५-5 सेमी हो, CM >< 1904 का मान ज्ञात करो।

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मुझ कुछ समझ में नहीं आया है

12.

If 27 march 1995 was a Monday Then what was the day on 1 November, 1994?(A) Saturday(B) Monday(C) Sunday(D) Tuesday

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Here, 27th March 1995 was Monday. Now for calculating total number of odd days. First, we calculate total number of days till 1 Number 1994∴ Number of days in March 1995 = 27Number of days in February 1995 = 28Number of days in January 1995 = 31Number of days in December 1994 = 31Number of days in November 1994 = 29/146∴ Number of odd days = 146/7 = 20 6/7So, 6 odd days.∴ On November 1, 1994 = Monday - 6= Tuesday

13.

-14-6+2+....Find the sum to 35 terms1) 35702) 42703) 41704) 258

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tq

You can like answers, if they are helpful.

14.

1213(i) cos A,sin B + sin A cosB.亦sin A =cos B =-.in R

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15.

1. Find the circumference of the circles with the following radius: (Take π)(a) 14cm(b) 28mm(c) 21cm

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thanks you

16.

DA is a tangert to acircle from a point p withcentre o . Find the Radius OAif PA = 4cm and op=sum

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use a phythagores therom because radius is perpendicular to tangent

17.

iv) Draw a circle of radius 3.6 cm. Draw a tangent to the circle at a point P onit without using the centre.

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18.

Ih quadrilderol A8cp,the biseca op Lc ondLo intexsect at o2

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19.

999 \frac{995}{999} \times 999

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20.

36, If 99 × 99 = 9801 and 999 × 999 = 998001,then 9999800001 is the product of

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21.

6. In a circle of radius 17 cm, two parallelchords of lengths 30 cm and 16 cm aredrawn. Find the distance between the chords,if both the chords are:(i) on the opposite sides of the centre,(ii) on the same side of the centre.

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22.

Answer the following questions.w what per cent of numbers from 1 to 20 are divisible by 47A child had certain amount of chocolates. He ate 35% of the chocolates buts13 chocolates. What is the number of chocolates the child originally had?014, mar. K more saua res must be shaded so that only 30% of the figure i

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1) total no. 20 No. divisible by 4 are 4,8,12,16,20 Percent of no. divisible by 4 = (5/20)*100 = 25%

2) Let no. Of chocolates be n (65/100)*n = 13 n = (1/5)*100 n = 20

23.

999-999

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999-999=0 is the best answer

0 is the answer of the following

0 is the right answer.

0 is the correct answer

o is the right answer

999-999=0because, x-x=0meanswhen something is subtracted by same thing, answer will be zero.

24.

find three positive integer in Ap such that theirsum is 24 and their product is 480prove that no- nc r-nor.

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25.

1.. In Δ ABC, right-angled at B, AB-24 cm, BC-7 cm. Determine :() sin A, cos A(i) sin C, cos C

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thank u

26.

infindandthe equation of clecle with centre at C3,-2)odius

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27.

10.If sin θ+cos θ/2 sin (90-8) determine cot θ

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28.

2*258 %2B (-258)*(-98)

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258 * 2 + (-98) * (-258)

= 258 * [2 + (-98*-1)]

= 258 * (2 + 98)

= 258 * 100

= 25800

258 * 2 + (-98) * (-258)= 258 * 2 + 98 * 258 [Since -1 * -1 = 1]= 258 * [ 2 + 98 ]= 258 * 100= 25800

29.

MondayDAY 107-258

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30.

In the given APQR, right-angled at ocm and PR-PI cm. Determine th ORsin R cos R.cm. Determine the val

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Pr-pq=1PR=1+pqqr=9

by Pythagoras theorem,pq²+qr²=pr²pq²+81=(1+pq)²=1+pq²+2pq80=2pqpq=40PR=41sin r+ cos rpq/PR+qr/PR40/41+9/4149/41

31.

Arts/Seieace Commerce1x2 sin(1) ifDetermine ifrdefined by ris)-{x2 sin(t) ifx#01-0is a continuous function.sin

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32.

2 In the parallelogram PORS, OS -5 cm and PR is 6 cm more than QS. Find oP.5

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33.

Example: Find the length of the tangent to a circle with centre 'O' and radiuspoint P such that OP 10 cm.6 cm. from a

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thanka

34.

A. Draw a line segment AB = 6 cm. Take a point C on AB such that AC = 4 cm. From C, drawCD丄AB.

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35.

1. PORS is a parallelogram and the diagonals intersect at O. If OP 2.5 cm and OQ-3.6 cm, find OR and1 PR is 6 cm more than Qs, findOs

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36.

Draw a line segment AB = 6 cm. Take a point C on AB such that AC = 2.5 cm. Draw CIperpendicular to AB

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37.

Two chords AB and CD of a circleintersect each other at P outside thecircle. If AB 6 cm, BP 2 cm andPD 2.5 cm, find CI

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Sir By Which theorem you solve this question

38.

at DDraw a line segment AB = 6 cm. Take a point C on AB such that AC= 2.5 cm. Draw CDperpendicular to AB

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39.

50 Find the difference between the largest5- digit number and the smallest 4-digitnumber.

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40.

-0. 517How5.2385 – 2.80312)|| 1.6612 + T.7351 -2.43763) 0.7308 + T -672)

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1)5.2385 - 2.8031=2.4354,; 2)1.6512+1 7351-2.4376=0.9587; ; 3)0.7308+1 .6721=2.4029

41.

Q4. Simplify Cats C3-15)

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42.

DAY 107-258nc rC3

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Here we are given nCr-1 = nC3rThe formula relating combinations isnCr = nCn-r Using this formula in the given statement we can write nC(r-1) as nCn-(r-1)

So substituting we getnCn-(r-1) = nC3r nCn-r+1 = nC3r

Comparing we get n - r + 1 = 3r n + 1 = 4r r = (n + 1)/4

43.

1 7e 4— + 5—2 6 12

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25/6+67/12117/12 answer

117/12 is the right answer

25/6+67/12117/12 answer

25/6+67/12(50+67)/12117/129.7

4(1/6) + 5(7/12)= = 25/6 + 67/12 = =2(25)+67/12= =50+ 67/12= =117/12

4&1/6 + 5&7/12=(4+5)(1/6 + 7/12)LCM of 6 & 12 is 12.= 9 (1×2/6×2 + 7/12)= 9 (2/12/7/12)= 9 (2+7/12)= 9 (9/12)= 9&9/12your answer is 9&9/12

117/12 is right answer.

9.7 is a correct answer

9.7 is the right answerbCoZexample, 25/6+67/12(50+67)/12117/129.7

117/12 is the correct answer

44.

7. The adjacent sides of a parallelogram are 15 cm and 8 cm. If the distance between thelonger sides is 4 cm, find the distance between the shorter sides

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45.

नमनe s s हीs कि पासनम की SO वी .7 AR RJM 1 A= L0a 8i+ 5 +(0s8 | न (03 है0 AP 5305A . SOi e A A I e i e e 7 T NS

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46.

ABC is an isosceles triangle inscribed in a circle. If AB AC-BC 24 cm, find the radius of the circle.

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47.

29. Divide RS.672 in the ratio 3:391 1 1 ఎకో రెండు బాగానే

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48.

5. For an event E, if PCE)-3, then find P(E)7

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49.

टटन्पनश्धन्वी -xg (1n)

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50.

- 1N(0 | рел)

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