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.

A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water itwould contain?

Answer»

89.8

Given:Radius of the hemispherical bowl, r = 3.5 cm

Formula:Volume of a hemisphere = 2/3 π r3 = 2/3 * 22/7 * (3.5)3 = 89.83 cm3Volume of water in bowl = 89.83 cm .cube

2.

if a is equals to 1÷3-√11 b is equals to 1÷a then find a^2- b^2

Answer»
3.

beA little bugate 1on the previous dayate 135 tiny flies in 5 days. Each day, itate 10 more flies than it didarevious day. How many small flies had the bun caten(a) after three days?(b) after four days?frogate 140 binubuar

Answer»

In 5 days bug eats 135 fliesIn 1 day bug will eat 135/5 fliesIn 3 days bug will eat 135/5*3Thus after 3 days bug will eat 81 flies

In 5 days bug eats 135 fliesIn 1 day bug will eat 135/5 fliesIn 4 days bug will eat 135/5*5 fliesThus after 4 days bug will eat 108 flies

RAVI septa route to a party

4.

(i) Thirty six point two four

Answer»

36 .24is it clearthanks

36.24 is the correct answer of the given

The answer in words will be 36.24.

36.24 is the answer

thirty six point two four= 36.24

36.24hajajahabajshshshsjsjsj

36.24 is the right answer

36.24 is the right answer

36.24 mathematical expression

36.24 hope this answer will help you. Thank you.

36.24of hope it helpful to you

36.24 is answer of the question

36.24 Please like 👍

36.24 is the mathematical number of the written

Thirty six point two four=36.24

36.24. is the right answer

36.24 its mathematical expression.

36.24 is the answer of the given question.

36.24 is the correct answer of the given question

36.24 is the right answer

36.24 is it clearbye

36.24 is the most correct answer

5.

04m and n are two odd partive setegeretProve that m?taz Meven bet notdiuirtlete bi

Answer»

Since m and n are odd positive integers, so let m = 2q + 1 and n = 2p + 1 ,

•°• m² + n² = ( 2q + 1 )² + ( 2p + 1 )² .

= 4( q² + p² ) + 4( q + p ) + 2 .

= 4{( q² + p² + q + p )} + 2 .

= 4y + 2 , where y = q² + p² + q + p is an integer .

•°• q² + p² is even and leaves remainder 2, when divided by 4 that is not divisible by 4.

6.

Find 5 geometric means between 1 and 27.

Answer»

Let the geometric series be 1,a,b,c,d,e,27Let the common ratio be rThen r^6=27=3^3= root 3 ^6Thus r= root 3Therefore the geometric mean between 1 and 27 is root 3, 3, 3 root 3,9, 9 root 3

7.

If three geometric means be inserted betweeu2 and 32, then the third geometric mean will be(A) 8 (B)4 (C) 16 (D) 12

Answer»

To find the GM between 2 & 32, first find the common ratio

nth = ar^n-1 / a = first term, n = # of terms, r = common ratio

32 = 2r^4 / n = 5, the nth = 32

r^4 = 32/2 = 16 r^4 = 2^4 thus r = 2

The GS is 2, 4, 8, 16, 32

The 3rd GM = 16

8.

If g1,g2, 83 are three geometric means between m and n, then18253

Answer»

If g1,g2,g3 are the three geometric means between m and n then, m , g1, g2, g3 & n are in geometric progression.

g1/m = g2/g1 = g3/g2 = n/g3 --- (1)

∴ g1/m = n/g3

∴ g1g3 = mn ---(2)

g2/g1 = g3/g2

∴ g1g3 = g2^2 ---(3)

From (2) & (3),

g1g3 = g2^2 = mn

Please hit a like if you find it useful

9.

The volume ofan ice cube is 150cm' lts volume decreased by 23% after an hour. Find thevolume of the remaining ice.ple3:

Answer»

Total volume =150 cm^3

23% of 150 is = ( 150 / 100) * 23. = 34.5

Remaining volume of ice is 150 - 34.5 = 115.5 cubic centimeter

thanks

10.

A cuboid has volume four times the volume of a cube whose each edge is 7 m. Findthe volume of the cuboid.

Answer»
11.

3.Acuboidhasvolumefourtimesthevolumeofacubewhoseeachedgeis 7 m. Findthe volume of the cuboid

Answer»

Volume of cube = ( side) ^3= 7 ^ 3 = 343.Volume of cuboid = 4 x 343 = 1372

12.

The volume of an ice cube is 1 50 cm. Its volume decreased by 23% after an hour. Find thevolume of the remaining ice.

Answer»

Total volume =150 cm^3

23% of 150 is = ( 150 / 100) * 23. = 34.5

Remaining volume of ice is 150 - 34.5 = 115.5 cubic centimeter

13.

How many millimeters are in acentimeter?How many centimeters are in ameter?How many centimeters are in 5meters?

Answer»

10 millimeters are in a centimeter

100 centimeters are in a meter

1.1cm=10mm2.1m=100cm3.5m=500cm

10 mm are in a centimeter

10 millimetre are in 1 centimeter

1meter = 100 centimeter

1m = 💯 cm 5m = 5×100 cm = 500 cm

10 millimeters are in centimetre

14.

answer thequeshon.and did Anu's mom buy in all?and CD in allanddid Anu's mom buy in all?1. How many152. How manyandin all3. How many moreare there than_ morethan4.How many more are there than

Answer»

1. 6+9 = 15

2 10+9 = 19

3. 10-6 = 4

4. 10-9 = 1

15.

EXERCISE 14.4mber of goals were scored by a team in a series of 10 m2, 3, 4,. 5, 0, 1, 3, 3, 4, 3

Answer»
16.

\frac{1}{a^{2}-b c}+\frac{1}{b^{2}-c a}+\frac{1}{c^{2}-a b}=0

Answer»

1/(a^2-bc ) + 1/(c^2-ab) + 1/(a^2-bc)Put -ac = ab + bc ; -ab = ac+ bc and -bc =ab + acyou get :=(1/(a^2+ab+ac))+(1/(c^2+ac+bc))+(1/(a^2+ab+ac))=(1/a(a+b+c))+(1/b(a+b+c))+(1/c(a+b+c))By taking LCM we get=(ab + bc + ca)/[(a+b+c)(abc)]put, ab+bc+cavalue = 0/[(a+b+c)(abc)] = 0

great

17.

69 (a)8 (o)LL (B)SL (v)

Answer»

11 ek abhajya sankhya hai kyoki unke factor 11 aur 2 hai

B) sahi uttar hai

18.

Find the values of the angles x, y, and z in each of the following:刁400k イ250Il

Answer»
19.

के... ace winl e decmal— 25 Feaminate 9

Answer»

Like if you find it useful

20.

2. Find the supplement of each of the following angles11. In l154°105o87。3.identify which of the following pairs of angles are complementary and whichsupplementary12. F(i)6501150(ii)ⓓ 1120, 68063°,27°i 1120 68°

Answer»

2(i)180-105=752(iii)180-154=26

3(iii)112+68=180Supplementary

21.

B eL_m.,/—w/?"q’B eCosa = €08 ८55४= ltan

Answer»

Please like the solution 👍 ✔️

22.

the middle term in the expansion of+2] is 1120, find 'a'.

Answer»
23.

t. (b) 1080(c) 1056t(d) 1120.

Answer»
24.

ABCD is a square of side a unit. Find the length of diagonal AC.

Answer»

thanks

25.

L 08X' (4 सा

Answer»
26.

थी... १15. ४५७] 201 £)- (4000 ~ <08 ते 42067 G

Answer»

hit like if you find it useful

27.

5616 310EXERCISE 10.208 135o 3, choose the correct option and give justification.From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q fromhe centre is 25 cm. The radius of the circle is

Answer»
28.

0.3: 2 2 0,3%4 9e 080.3 x0.32 +0.,3°

Answer»
29.

Ex 1.1.5: A (1, 1), B(-2.3) are two points. If a point P forms a triangle of area 2square unit with A, B then find the locus of P.

Answer»

answer is 2x+3y-9=0

answer is 2x+3y-9=0

30.

ही. The._covidinnles of pud- hoint &f_ifi; peinls (5, =3) anlsle LB e e - ५

Answer»
31.

B Sl g s ( 8. (0)9T (&) v W)= urkmrdsdrdrdZ=d (1) =W ok ‘isjig DIt ki "98

Answer»

m = - 1, p = 2

p*p*p*p*m*m= 2*2*2*2*-1*-1= 16*1= 16

(B) is correct option

32.

2. निम्नलिखित समीकरणों को हल कीजिए : 2(x+4) =12 ०3021d -42+x)=8 e 42-x)=8. e b ० आ . "~ sl \ e

Answer»

(1) 2(x+4) = 12 2x + 8 = 12 2x = 4 x = 4/2 = 2

(2) 3(n-5) = 21 3n - 15 = 21 3n = 36 n = 36/3 = 12

(3) - 4(2+x) = 8 - 8 - 4x = 8 -4x = 16 x = - 16/4 = - 4

(4) 4(2-x) = 8 8 - 4x = 8 4x = 8-8 4x = 0 x = 0

33.

am amum beTeI1my identifyToke me twe times everAnd odd at hivty sito Yeach ace ntuYou still need four

Answer»

let no. be x2x+36+4=1002x+40=1002x=60x=30

34.

A box contains2,00,000medicine tabletseach weighing20 mg. What isthe total weightof all thetablets in thebox n gransand inkilograms?2.

Answer»

total weight of the tablets=2,00,000 x 20mg = 40,00,000 mg -----11 gm = 1000mg

thus from 140,00,000/1000= 40,000gm

1 kg = 1000gmthus :40,000/1000= 40kg

this is my handwriting

35.

Solve the following riddle:I am a numberTell my identityTake me two times overAnd add a thirty sexTo reach a centuryYou still need four

Answer»

2x= 60X= 30Thanks

x=1000-4-36÷2x=1000-40÷2x=960÷2x=480

30 is the answer because 36 + 4=40 and remaining is 60/2=30

Century = 100Need 4 to reach century = 96

Let the no. be xTwo times over = 2x

2x + 36 + 4 = 1002x + 40 = 1002x = 100 - 402x = 60 x = 60/2 x = 30

correct answer is x= 30

36.

Suw tha: SinCos Awhere A, B and C are angles of sABC2

Answer»
37.

16.Solve the following riddle:I am a numberTell my identity.Take me two times overAnd add a thirty sixTo reach a centuryYou still need four.

Answer»

2x+36+4= 1002x= 60X= 30

2x+36+4=1002x+40=1002x=100-402x=60x=30

30 is ur answer .......

2x + 36+4=1002x=60x=30

38.

2. If in triangle ABC, a 2, b 1+ 3 andC 60°, then find the value of c.

Answer»

Use the formula cosC = (a²+b²-c²)/2ab.

=>cos(π/3) = (2²+(1+√3)²-c²)/2*2*(1+√3)=> 2+2√3 = 4+1+3+2√3 -c²=> c² = 6=> c = √6

39.

If A, B, C are the interior angles of a triangle ABC. Prove that tan ot A22

Answer»
40.

A circle has a diameter of 26 units. What is the area of the circle to the nearesthundredth of a square unit?

Answer»

area of circle = πr^2radius = 14 so area = 22*14*2= 22*28=616 units

41.

A box of medicine tablets contains 300000 tabletseach weighing 20 mg. What is the total weight of allthe tablets in the box in grams and in kilograms?

Answer»
42.

The sum of three positive numbers constitutingarithmetic progressioni no 4, tothose numbers respectively. We get a geometricprogression, then the numbers are-

Answer»

Let a-d,a , a+d are in AP

ACCORDING to sum

a-d+a+a+d=153a=15a=5the terms will be 5-d,5,5+dwhen 1,4,19 are added to the terms they are in GP5-d+1,5+4,5+d+19 are in GPcommon ratio must be equalthe terms are 6-d,9,24+d9/(6-d)=(24+d)/9cross multiplying we get(6-d)(24+d)=9*9

(6*24+6d-24d-d^2)=81

(144-18d-d^2)=81

d^2+18d=144+81

=225

d^2+18d-225=0

by solving this we get d=8,-26

the numbers may be -3,5,3 or 31,5,-21

given that the sum is 15

so the numbers may not be -3,5,3

so the numbers are 31,5,-21

43.

InABC, 2 ABC45", < ACD130°, B-C-D. Find < BAC.45°130°

Answer»

45°+angle BAC=130°(exterior angle)angle BAC=130-45=85°

44.

2 ,s, and s, are the sum of first n, 2n and 3n terms of a geometric series respectivelye prove that S_{1}\left(S_{3}-S_{2}\right)=\left(S_{2}-S_{1}\right)^{2}

Answer»
45.

Find four numbers forming a geometric progression in which the third term isgreater than the first term by 9, and the second term is greater than the 4h by 18.1t ms of a GP, are a, b and c, respectively. Prove that

Answer»
46.

A+ BIn a Δ ABC, write tan-3in term of angle C, where A,BC are interior angles of Δ ABC2

Answer»
47.

Example-12. If A, B and C are interior angles of triangle ABC, then shoywB+CSinCOS22triangle ABC then

Answer»
48.

B+In a triangle ABC, write cos)b+c/2)in terms of angle A.2

Answer»
49.

4. For triangle ABC, show thatA+ B2B+ C2(1) sincos-2(i) tancot-2

Answer»
50.

Anuj has an equal number ofone-rupee coins. If the total number of coins is 40 and their value isfive-rupee and two-rupee coins does he have?two-rupee and five-rupee coins. He has also some120, how many

Answer»

Let number of five rupee and two rupee coins be x each

Then number of one rupee coins = 40 - 2x

As per given condition5*x + 2*x + 1*(40-2x) = 1205x + 2x + 40 - 2x = 1205x = 120 - 40x = 80/5 = 16

Therefore, Number of 5 rupees and 2 rupees coins are 16 of each type