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.

1. Determine the value of the following.(i)og,5(ii) logz381

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log25 5 = log25 √25 = 1/2 log81 3 = log81 4√81 = 1/4

2.

Construct a quadrilateral PQRS in which PQ RS 3 cm, SP7Bcm,QS4cmandPR-8cm.

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3.

of which ONLY ONE is correctइस छड में 20 बहु प्र है। परेड में चार कि61. The present ratio of agosP &Qs 4:09the sum of present ages of P Q is 30 yearsthen the sum of ages of P&before years is(1) 52 years (2) 50 ans226 years

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let present age of P= 4x Q= 6x4x+6x=5010x=50x=50/10=5so present age of P= 4x= 4×5=20Q present age= 6x= 6×5=304years before p age = 20-4=16Q age = 30-4=26sum of age p and Q 4years before = 16+26=42

present age of P=4x & 6x; 4x+6x=10x; 10x=50; x=50/10=5; present age of p=4x+6x=10x

present age of p =4x +6x=10x, x=50/10=5;, p=4x=4×5=20; 6x=6×5=30, p age=20-4=16; Q age=6x=6×5=30-4=26,,sum of age P & Q=16+26=42

4.

ct a quadrilateral PQRS in which PQ PS 4 cm, QR- QS%R = 6.2 cm.

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5.

3 John weighs twice as much as Maria Maria's weight is 60% of Bob's weight. Dave weighs 50% of Lee's weight.Lee weighs 190% ofJohn's weight. Which of these 5 persons weighs the least?

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6.

Yaloge=1(1+loga) 2Q525-1 y + x log x* d* |DG -

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7.

Divide ₹7400 among three peopleA,B andC in the ratio 3:5:12

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suppose shares are 3x,5x and 12x 3x+5x+12x = 7400 20x = 7400 so x=370 so shares are A = 1110 B = 1850 C = 4440

how

8.

What do you know about Gandhiji?

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Mahatma Gandhi is very famous in India as “Bapu” or “Rastrapita”. The full name of him is Mohandas Karamchand Gandhi. He was a great freedom fighter who led India as a leader of the nationalism against British rule. He was born on 2ndof October in 1869 in Porbandar, Gujarat, India. He died on 30thof January in 1948. M.K. Gandhi was assassinated by the Hindu activist, Nathuram Godse, who was hanged later as a punishment by the government of India. He has been given another name by the Rabindranath Tagore as “Martyr of the Nation” since 1948.

thanks

9.

If a,b,c are positive, show that1log, b log, Clog, a 1 og, Cloge a logeb

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10.

.7.Find the value of Kif K2 + 4k+8.2k23k +6.3k? + 4k +4 are in A.P.

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a2-a1=a3-a22k^2+3k+6 - (k^2+4k+8). =3k^2+4k+4-(2k^2+3k+6)2k^2-k^2+3k-4k+6-8 =3k^2+4k+4-2k^2-3k-6k^2-k-2=k^2+k-2-k-k=-2+2-2k=0k=0

11.

Find the meuJ6. In the given triangle, find the measure of ZPRQ.140°

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angle pqr+140=180 (linear pairs)therfore angle pqr=40pqr+prq+rpq should be equal to 180 (angles of a triangle)

90+40+prq=180

prq=50

Apply exterior angle theroem,QRP + RPQ = 140°QRP = 140° - 90°QRP = 50°

12.

S0,30Similarly, for n observationsExample IF: Find the mean of the marks obtained by 30 students of Class IX of aschool, given in Example 2xx30olution Now,

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thanks

13.

तर) यदि आव्यूह 4 |. 3 ]a amm&’:आव्यूह है।

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14.

In Figure 1, PS = 3 cm. QS 4 et, ZPRQ=1.2 P8Q-90. PQRQ and,RQ = 9 cm. Evaluate tan 0.NdemJO

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In triangle QSPUsing pythagoras theoramQP^2 = QS^2 + SP^2QP^2 = 4*4 + 3*3QP^2 = 25QP = 5 cm

In triangle RPQtan theta = RQ/QP = 9/5

15.

19.) The sum of three consecutive terms of an AP is 18 and their product is 192. Find thenumbers. [4, 6, 8 or 8, 6, 4]

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16.

20)1f4m + 8,2m2 + 3m + 6,3m2 + 4m+4 are three consecutive terms of an A.P. findM.

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Let three term in an AP.

4m+8,2m^2+3m+6,3m^2+4m+4

As you know that if term are in a AP then it s common difference are equal so.

d=t2-t1=2m^2+3m+6-4m-8

d=2m^2-m-2---------1)

and again......similarly

d=t3-t2.

d=3m^2+4m+4-2m^2-3m-6

d=m^2+m-2 ------2)

from 1) and 2)

we get,

m^2+m-2=2m^2-m-2

=)m^2-2m=0

=)m(m-2)=0

m=0 ---1)

and m=2,HIT THE LIKE BUTTON

17.

Q 13: Find the value of m so that m2, 4m- 6 and 3m 2 are three consecutive terms of an A.P

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If a , b , c are in A. P then

b - a = c - b

m + 2 , 4m - 6 , 3m - 2 are A. P

4m - 6 - ( m + 2 ) = 3m - 2 - ( 4m - 6 )

4m - 6 - m - 2 = 3m - 2 - 4m + 6

3m - 8 = - m + 4

3m + m = 4 + 8

4m = 12

m = 12/4

m = 3

18.

es between I and 200.20. If4m + 8,22m2+3m+ 6,5m+4m+ 4 are three consecutive terms of an A.P. findin.

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19.

D) 496d 3k 2 are three consecutive terms of an A.P thenD) 4ITr k + 2, 4k- 6 anB) 2c) 3A) 1

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no

20.

7.7 1.200 was borrowed with simple interest for 8 months at 8 p.e.p.a. How muchmoney should be repaid after 8 months?(2009(1) 64 (2) 7 1.264 (3) 1.136 (4) * 1.968

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(a) 64 is a correct answer

Given,Principal amount P = 1200,Rate of Interest R = 8%Time period = 8/12 = 2/3 yearSimple Interest = SI

WE KNOW,SI = P*R*T/100 = 1200*8*2/300 = 4*16 = 64

Therefore, Amount he repaid after 8 months = Rs 1200 + 64= Rs 1264(2) is correct option

21.

The mean age of a combined group ofmen and women is 25 years. If mean ageof men is 26 and that of women is 21,then the percentage of men and women inthe group is

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If the number of men=m and women=w, Total age of men & women=26m+21wGiven,Combined Mean Age=25= 26m+21w/(m+w)25m+25w=26m+21w -->4w=m or m/w=4/1Therefore % of men=80 and women=20

22.

pertant NoteDats

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So ABC is isoceles triangle and have two angles equal let them be x

x +x + 100 = 180 2x = 80 x = 40so angle B and C are 40.

Though i am unable to get what is your exact question

23.

DatsPageeiaae

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24.

\operatorname { sin } x ( \operatorname { cos } \frac { x } { 4 } - 2 \operatorname { sin } x ) + ( 1 + \operatorname { sin } \frac { x } { 4 } - 2 \operatorname { cos } x ) \operatorname { cos } x

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no real solutions.

25.

disit number formed by repeating a two digit number is alwaye exactly divisible6

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let the unit digit be X and tenth digit be Yso,Four digit number: 1000y + 100x + 10y + x 1010y + 101x 101(10y + x)so that number must be divisible by 101 and also 101 is the smallest three digit prime number.

26.

percendye Terms5) Sixty per cent of 120 workers in a factoryare women. Find the number of womenand men.

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60% of 120 workers are women60/100 × 12072 workers are women...

40% of 120 are men40/100 × 12048 workers are men....

plz mark it as best answerhope it helps!!!!!!!

60% of 120 = 60/100 ×120= 72 workers are womenmen workers = 120 - 72= 48

27.

Anw

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28.

2.136 write in the fractional form:

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29.

0 The fractional form of 0.8 is

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Explanation :

The fraction form of 0.8 = 8/10 = 4/5

Solution : 4/5

If you find this answer helpful then like it.

30.

\int \frac{\sin ^{2} x-\cos ^{2} x}{\sin ^{2} x \cos ^{2} x} d x

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31.

Differentiate log , (log x) with respect tox. O

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thanks

32.

\int \frac { \sin ^ { 2 } x - \cos ^ { 2 } x } { \sin ^ { 2 } x \cos ^ { 2 } x } d x

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33.

है... = s& 49 विधा डे होमe A BT ey 6 - 5i‘fl?‘flrjfl*\q ‘g\T e eTEY

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the answer is 30th position from back

30 th position from back brother

34.

(८) 6, (a) o.7 Px)=2x+5 3 शून्यक है-g ey

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2x + 5 = 0=> 2x = -5=> X = (-5/2)

Please hit the like button if this helped you.

35.

Define power set of a set.

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A Power Set is a set ofall the subsets of a set.

36.

define power set of a set

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The set of all the subsets of a set"

Basically we collect all possible subsets of a set.

Example: For the set {a,b,c}:• The empty set {} is a subset of {a,b,c}• And these are subsets: {a}, {b} and {c}• And these are subsets: {a,b}, {a,c} and {b,c}• And {a,b,c} is actually a subset of {a,b,c} too

And altogether they make the Power Set:

P(S) = { {}, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c} }

37.

Find the mass of 200 steel spherical ball bearings, each of which has radius 0.7 cm,given that the density of steel is 7.95 g/cm. (Mass Volume x Density)

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Radius = 0.7 cmvolume = 4/3*pi*r³ = (4×22×7×7×7)÷(3×7×10×10×10) = 1.44 cm³density = mass/volume7.95 = mass/ 1.44mass = 11.448gmass of 200 such balls = 2289.6g

38.

13. The parallel sides of a trapezium are 20 cmand 30 cm and its non-parallel sides are6 cm and 8 cm. Find the area of thetrapezium.

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39.

STE_QCLR\JEJ Y

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40.

2.In Fig 6 14, lines XY and MN intersect at O. if<POY = 90° and a : b-2:3, find c.

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41.

Fig. I2.20Fig. 12.21e area of the shaded region in Fig. 12.21, if ABCD is a square of side 14 cm anAPD and BPC are semicirclesa circular arc of radius 6 cm has

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42.

i) a n, when n is even and a,when n is odd.

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a1 = 1/n= 1/1 = 1a2 = n = 2 a3 = 1/n = 1/3 a4 = n = 4a5 = 1/n = 1/5a6 = n = 6

43.

Find the area enclosed by the given figure ABCDEF as perdimensions given herewith.

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44.

followingQa. Find the volume of a cuboid with thedimensions:16x6, doxy²,0 G azy?

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45.

35.What is the sum of the digits in four Boxes.□ + □=8A) 25C)21B) 26D) 28E) 13

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1

2

46.

41. What percentage of 20 kg is 5.2 kg ?(A) 22%(B) 24%(C) 26%(D) 28%

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26 is the correct answer

26 is the correct answer

(c) 26% is correct answer

26 % is the right answer

the answer is 26 percentage

the correct answer is 26

option c is correct answer according to your question

26% is your correct answer

26% is the correct answer

Option C) 26 is the right answer

Option C) 26 is the right answer

answer (c) 26% is a right answer

26% is the correct answer of yours bro

26 percent is correct bro

26% is correct answer

option c is correct answer

47.

State the sign of cos (--)8πnegativepositivezero of these

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negative

48.

7. A positive integer n when divided by 9, gives 7 as remainder. What will be the remainder when3n - 1 is divided by 9?

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49.

In Fig. 10.38, < ABC = 69", L ACB = 31°, findL BDC.Pig. 10.3731°Fig. 10.38

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∠ABC = 69°, ∠ACB = 31° [Given]

InΔABC∠ABC + ∠ACB+∠BAC = 180°⇒ ∠BAC = 180° - ∠ABC - ∠ACB⇒ ∠BAC = 180° -69° - 31° = 80°

∠BDC = ∠BAC ( Angle drawn from same chord)

∴ ∠BDC= 80°

50.

7.A positive integer n when divided by 9, gives 7 as remainder. What will be the remainder when3n - 1 is divided by 9?

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thnkx buddy