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.

If 4/5,a,2 are in an AP. Find a

Answer»

ANSWER:

ANSWER

a−54=2−a

⇒55a−4=2−a

⇒5a−4=10−5a

⇒10a=14

⇒a=1014

⇒a=57.

2.

12.20 kg of flour, 4.82 kg of sugar and 0.37 kg of salt were used to bake biscuits. Afterwards, 0.56 kg of sugarand 0.11 kg of baking soda were also added. At the end 1.048 kg of mix remained unused. How much materialin all went into making the biscuits?​

Answer»

17.012

Step-by-step EXPLANATION:

(12.20+4.82+0.37+0.56+0.11) - 1.048

18.06 - 1.048

17.012

HOPE THIS ANSWER MAY HELPFULL

3.

Express the following composite number as sum of prime number 35 with solutions​

Answer»

Answer:

5,55,6,66,2,22,3,33,4,44,1,11,7,77,8,88,9,99

4.

A vessel of 80 litres is filled with milk and water.70% of milk and 30 % of water​

Answer»

56 LITRE of milk.

24 litre of WATER

5.

-3÷√3+√2-3√2÷√6+√3+4√3÷√6+√2​

Answer»

ANSWER:

jjgfd

Step-by-step EXPLANATION:

mmvdfhjjkkmntstutsyyisurusitsittuzjtsittizgurufydudiyt7sttsurdyuiytixtiuiutsiuttitsiiiydigiyiiyiyidigdtitstisgugggctucuurussruuut ry7rxtgwjhr7udumtstrjttuxutidi7sittutiuiitsitstistititstitsitsitcti8tcyicodkhdtidotryitt8sitsitsitsirtottstytitictittidittistidtid58rouyod9dt9ddr9yd8ydoytoyodyidyoddynbofyovhcddyhddchydiididiteiii5idiiyidioitioitd66

6.

11+20=pleasw answer it is very important...​

Answer»

Answer:

31

mark me as BRAINLIEST

7.

If price of an article is rs 105 . if price increase the ratio of 5:7, what is increased price​

Answer»

ANSWER:

INCREASED price should be Rs. 105/5 = 21

21*7=147 this is the NEW price

inc in price is Rs. 42.

8.

Find the ratio in which the point (–3, p) divides the line segment joining the points (–5, –4) and B (–2 , 3 ). Hence find the value of p.

Answer»

Step-by-step explanation:

let the point A(-5, -4) and B(-2, 3) which DIVIDES the linesegment AB at the point O( -3, p) in the ratio m:N .

formula : [mx2+nx1 /m+n , my2+ny1 /m+n]

[m(-2) + n(-5) /m+n , m(3) + n(-4) /m+n]

[-2m-5n /m+n , 3m-4n /m+n]

So, X = -2m-5n /m+n and Y = 3m-4n /m+n

-3 = -2m-5n /m+n and p = 3m-4n /m+n

-3m-3n = -2m-5n and p(m+n) = 3m-4n

-3m+2m = -5n+3n and p(m+n) =3m-4n

-m = -2n

m = 2n

So, put the value m = 2n in p(m+n) = 3m-4n

p( 2n +m/2) = 3(2n) - 4(m/2)

p/2( 4n+m) = 6n -2m

p/2 = 6n-2m /4n+m

p = 2 (6n-2m /4n+m)

Hence, p = 12n-4m / 4n+m

9.

Expand [8 minus square root of 3]^2 giving your answer in form a+b square root of 3,hence find a+b

Answer»

ANSWER:

67 - 16 \sqrt{3}

Step-by-step EXPLANATION:

this is what you want,

{(8 -  \sqrt{3} )}^{2}

=  {(8)}^{2}  - 2 \times 8 \times  \sqrt{3}  +  {( \sqrt{3}) }^{2}

= 64 - 16 \sqrt{3}  + 3

= 67 - 16 \sqrt{3}

which is your answer.

.....

Hope this will HELP you and PLEASE mark me as BRAINLIEST......

10.

Factorize: 9(2a-b)^2-4(2a-b)-13

Answer»

YOUR ANSWER IS ABOVE

Hope it HELPS you , PLEASE MARK it as a brainliest answer and please follow me .

11.

3√5+6√5.....plz.. answer its urgent please ☹️ guys​

Answer»

Answer:

9√5

I HOPE you it HELPS you

12.

Square root of the following decimal number andand fraction 5.4756​

Answer»

ANSWER:

answer for the GIVEN PROBLEM is given

13.

(ii) one cube of side 6 cm2. In a Maths lab there are some cubes and cuboids of the following measurements:(iii) 3 cuboids each of dimensions 4 cm x 4 cm x 6 cm and 3 cuboids each of dimensionsA student wants to arrange these cubes and cuboids in the form of a big cube. Is itpossible for him/her to arrange them in the form of a big cube? If yes, then find therate(i) one cube of side 4 cm4 cm x 6 cm x 6 cm.length of side of new cube so formed.​

Answer»

one cube of SIDE 4 cm

4 cm X 6 cm x 6 cm.

length of side of new cube so formed.

please Become BRAINLY

14.

The product of reciprocal of three numbers in H.P is 1/224 and there sum is 24.(a). In H.P first term is ?

Answer»

ANSWER:

The CORRECT Answer is TWELVE

15.

Write weather 2✓45/✓5 gives prime number an irrational number or a rational number​

Answer»

ANSWER:

Irrational number

Step-by-step explanation:

Because when you multiply an irrational number with a RATIONAL or another irrational number the answer is ALWAYS irrational.

16.

by what least number should be multiplied or divide the following to make it is a perfect square 125 plz step by step​

Answer»

Answer:

125 is not a perfect SQUARE DUDE..

so you can multiply 125 with 5 ..

so that you will get 625 as the answer..

\sqrt{625}  = 25

HOPE this answer helps you dude!!!

mark as BRAINLIEST!!!

17.

If u answer fast I'll mark u brainliest​

Answer»

ANSWER:

this is your answer MARK me as the BRAINLIEST

18.

1. sino - cos40 = 1 - 2 cos²0​

Answer»

Answer:

If

SIN(α)cos(α) = 1/2

then,

2SIN(α)cos(α) = 1

Now, sin(α) + cos(α) = X (let)

Squaring both sides,

{sin(α) + cos(α)}² = X²

I. E. sin^²(α) + cos^²(α) +2sin(α)cos(α) = X²

1 + 1 = (X)²

X = √2

or,

Sin(α) + Cos(α) = √2

If, Sin(α)Cos(α) = 1/2

Hope It Helps..

Step-by-step explanation:

19.

Expand [8 minus square root of 3]^2 giving your answer in form a+b square root of 33,hence find a+b

Answer»

ANSWER:

[8-√3

Step-by-step explanation:

8² + (√3)² - 2×8×√3

64 + 3 -16√3

67 - 163

____________________

____________________

20.

If tan 45 sin 30 =cos 30 tan 30​

Answer»

Answer:

Answer = 1

Step-by-step explanation:

xtan45 *sin30 = cos30 *TAN30

= X*1 * 1/2= √3/2*1√3 ( values written from trigonometry TABLES)

= x*1/2 = 1/2

= x= 1/2*2/1

= x= 1 is your answer

plz mark me as brainliest.

21.

-4/5 को एक ऐसे परिमेय संख्या के रूप में वयक्त कीजिए जिसका हर निम्नलिखित हो 30 and -45​

Answer»

Step-by-step EXPLANATION:

-4/5×6/6=-24/30

-4/5×9/9=-36/45

22.

1In right angled ABC LB = 90AC= 5mBC) 3mfind the value of AB​

Answer»

ANSWER:

The answer will be 3 cm

Step-by-step explanation:

Because

LB is a bisector on the SEGMENT AC

so it will divide the line of AC in two equal PARTS.

AC= 5/2=2.5

therefore, AL=2.5 AND LC=2.5CM

BY ANGLE BISECTOR THEOREM,

AB/BC=AL/LC

AB/3=2.5/2.5

AB/3=1/1

THEREFORE, AB= 3cm

23.

If 80g of salt present in 320g of water.calculate the concentration of solution​

Answer»

ANSWER:

Solute=80g

solvent=320g

solution=80+320=400g

concentration of solution=mass of solute/mass of solution

=80/400

=0.2%

24.

What is the distance between A (4,0) and B (8,0).​

Answer»

Answer:

4 units

Step-by-step EXPLANATION:

We can observe that, both the POINTS A&B lie on the x-axis.

So, the distance between both the points =  B_{x} - A_{x} = 8-4 = 4 units.

Hope this helps.....

25.

3- 6.11-8.H++ +t2)221​

Answer»

very EASY do yourself BRO

26.

What is the capacity of the largest vessel which can empty the from three vessel containg 32L 24L 48L an exact number of times​

Answer»

Answer:

96l

Step-by-step EXPLANATION:

27.

AdsCLASS - IXthMATHSQuestion 3If(a+1/a)^2 = 9 then a^3 +1/a^3 equals​

Answer»

Answer:

Given (a+1/a) 2 = 3

Therefore (a + 1/a) = √3

Recall the formula, (a3 + B3) = (a + b)3 - 3ab(a + b)

Therefore, (a3 + 1/a3) = (a + 1/a)3 - 3 X a x 1/a (a + 1/a)

                                =  (√3)3 - 3(√3) = 3√3 - 3(√3 = 0

Please mark as brainliest!!!!    

Hope it will HELP you!!!!

28.

3. Waandave the zero of the item =- *-2. find the value​

Answer»

ANSWER:

you can SEARCH in GOOGLE ALSO

29.

√3/5pls solve it in equation​

Answer»

ANSWER:

your answer is 0.3464101615.

Step-by-step EXPLANATION:

PLZ MARK me as BRAINLIST

30.

Find p and q if p-1, q-1, q+10, are inAP​

Answer»

Answer:

1 + 6X = 19 .1 + 6x = 19 .1 + 6x = 19 .

31.

the area of two similar triangles are 36sqcm and 121sqcm .the ratio of their corresponding sides are​

Answer»

Answer:

The RATIO of their corresponding sides is 6:11.

We know, for similar triangles, the ratio of their areas is equal to the SQUARE of the SIDE of the corresponding triangles. Let there be 2 triangles, ΔABC and ΔDEF.

Step-by-step explanation:

32.

If each diagonal of a quadri lateral dividesit into two triangles of equal areas, thenprove that quadrilateral is a paralldogram,​

Answer»

Answer:

A QUADRILATERAL ABCD and its diagonals AC and BD divides it into two TRIANGLES of equal areas i.e. AR(△ABC)=ar(△CDB)

and ar(△ABC)=ar(△ACD)

Proof :

⇒ ar(△ABC)=ar(△ACD) ------ ( 1 )

⇒ ar(△ABC)+ar(△ACD)=ar(□ABCD) ----- ( 2 )

From ( 1 ) and ( 2 )

⇒ 2ar(△ABC)=ar(□ABCD) ----- ( 3 )

⇒ and ar(△ABD)=ar(△BCD) ----- ( 4 )

⇒ ar(△ABD)+ar(△BCD)=ar(□ABCD) ---- ( 5 )

From ( 4 ) and ( 5 )

⇒ 2ar(△ABD)=ar(□ABCD) ---- ( 6 )

From ( 3 ) and ( 6 ) we get,

⇒ 2ar(△ABC)=2ar(△ABD)

⇒ ar(△ABC)=ar(△ABD)

SINCE, △ABC and △ABD are on the some base AB. Therefore, they must have equal corresponding altitudes.

i.e. Altitude from C of △ABC= Altitude from D of △ABD

⇒ DC∥AB

Similarly AD∥BC

Hence ABCD is a parallelogram.

33.

-2x(x+4)please answer this question​

Answer»

the ANSWER is -2x²-8x

Step-by-step EXPLANATION:

-2x (x+4)

-2x²-8x

HOPE IT HELPS YOU

MARK ME AS BRAINLIEST

I WILL FOLLOW YOU

34.

Find the maximum length of a rope which can measure the distance of 36m 54m and 90​

Answer»

Step-by-step explanation:

please mark me brainest GIVE me thank follow me please

35.

Please do this sums​

Answer»

Answer:

1. x + 8 = 3(x-6)

= x + 8 = 3x - 18

= x - 3x = -18 - 8

= -2x = - 26

= x = -26/-2

x = 13

2. 9(10 - x) + 18 = 9x +8

= 90 - 9x + 18 = 9x + 8

= 108 - 9x = 9x + 8

= 18X = 100

= x = 5.55

3. 2x + 24 = 5x

= -3x = - 24

= x = -24/-3

= x = 8

Hope This Helps You

36.

Q.No.45. Which of the following options will be defiantly true for the relation A5b) B>SCAUFc) Q

Answer»

Answer:

cube if a scrb and Sahay b r a v b s U PLEASE FOLLOW me

37.

2.Find the remainder when x3+3x2 + 3x + 1 is divided by (5+2x)-8/27-27/82035/8​

Answer»

\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}

\red{\bold{\underline{\underline{QUESTION:-}}}}

FIND the remainder when x3+3x2 + 3x + 1 is DIVIDED by (5+2x)

\huge\bigstar\huge\tt\underline\red{ᴀɴsᴡᴇʀ }\bigstar

------>>>>Here is your answer<<<<--------

❱ ❱ ❱ see in the picture above attach for complete SOLUTION step by step:-

HOPE IT HELPS YOU..

_____________________

Thankyou:)

38.

A car travelled (50 +- 0.3) m in (2 +- 0.1) sec. Find the relative error in its speed. (plz solve it) class 11​

Answer»

ANSWER:

RELATIVE ERROR = ∆a/a

Step-by-step explanation:

0.1+0.3/50+2= 4/520=1/13

39.

Irrational among the following is 1)root2*root2 2)root21*root3/7 3)root2*3*5*7 4)root2*2008/1004*1​

Answer»

Answer:

Victoria xo sul do Tum COME see v DE by sq VP FEE I'm was CU de

40.

Q.No.44. Find the missing term of the given series 68, 222,520,a) 1010b) 1000c) 1200d) 890​

Answer»

a)1010

is the CORRECT ANSWER

HOPE this HELPS you

41.

Proof of 3+2 = 4i will mark BRAINIEST​

Answer»

Step-by-step EXPLANATION:

.........here this is the ANSWER

42.

HCF(2019,2020)say the answer ​

Answer»

HCF of 2019 and 2020 is 1

43.

I can finish a work in 15 days at 8 hrs aday. You can finish it in 62/3 days at 9 hrsa day. Find how many days we can finishit working together 10 hrs a day.​

Answer»

{\Large{\underline{\underline{\sf{\orange{ \: Answer:-}}}}}}

  • In 7.2 days(approx) we can finish it together if we work for 10 hrs a day.

⠀⠀━━━━━━━━━━━━

Given :

  • I can finish the work in 15 days if I work 8hrs a day.
  • You can finish the same work in 62/3 days if you work 9 hrs a day.

To Find :

  • In how MANY days we can finish
  • it working together 10 hrs a day = ?

SOLUTION :

TOTAL time taken by me to complete the work :

\implies 15 × 8

\implies 120 hrs

Total time taken by you to complete the work :

\implies 62/3 × 9

\implies 186 hrs

Together we can complete the work per hour :

:\implies \sf \:  \:  \:  \dfrac{1}{120} +  \dfrac{1}{186}   \\  \\  \\  \\ :\implies \sf \:  \:  \:  \dfrac{186 + 120}{120 \times 186}  \\  \\  \\  \\ :\implies \sf \:  \:  \:  \dfrac{306}{ \: 22320 \: }  \\  \\  \\  \\ :\implies \sf \:  \:  \:  \dfrac{1}{72}(approx)

  • It will take 72 hrs to complete the total work.

Working 10HRS each day, it would take :

\implies 72/10

\implies 7.2 days

Therefore, in 7.2 days(approx) we can finish it together if we work for 10 hrs a day.

⠀⠀━━━━━━━━━━━━

44.

10AcrossFundamental theorem ofstates that every composite number can be uniquelyexpressed as a product of primes, apart from the order of factors.7. Thefactorization of composite numbers is unique.10.numbers have either terminating or non-terminating repeating decimal expansionDown1.2.3.5.is a sequence of well defined steps to solve any problem.Numbers having non-terminating, non-repeating decimal expansion are known asA proven statement used as a stepping stone towards the proof of another statement is known asDecimal expansion of 3/35 isTheexpansion of rational numbers is tenninating if the denominator has 2 & 5 asits only factors.division algorithm is used to find the HCF of two positive numbers.For any two numbers, HCF LCM =of numbers.6.8.9.​

Answer»

ANSWER:

What is this??

Step-by-step EXPLANATION:

MARK as BRAINLIST

45.

Log3729=0लॉग बेस 3 ​

Answer»

Answer:

log_{3}(729)  \:  =  \:  log_{3}( {3}^{6} )  \\  \\ we \:  \: can \: now \: write \: it \: as \: 6 log_{3}(3)  \\  \\  log_{3}(3)  = 1 \\  \\ therefore \: 6 \times 1 = 6

6

46.

Please solve this its sooper dooper urgent..... no cheatin with me. plssss Write following in exponential form with a negative exponent: a. 243/32 b. 125/37 x 25/9 c. 5/3 x 5/3 x 5/3 x (-7/8) x( -7/8) x (-7/8)

Answer»

SoluTion :-

\sf {(a) \ \frac{243}{32}}\\\\\\\sf {= \frac{1}{\frac{243}{32}}}\\\\\sf {=\frac{32}{243}^{-1} }

_______________

\sf {(b) \ \frac{125}{37}}\\\\\\\sf {= \frac{1}{\frac{125}{37}}}\\\\\sf {=\frac{37}{125}^{-1} }

________________

\sf {(c) \ \ \frac{5}{3} \times \frac{5}{3} \times\frac{5}{3}}\\\\\\\sf {= \frac{5}{3}^{3}}\\\\\sf {= \frac{1}{\frac{5}{3}^{3}}}\\\\\sf {= \frac{3}{5}^{-3}}

________________

\sf {(d) \ \frac{-7}{8} \times \frac{-7}{8} \times \frac{-7}{8}}\\\\\\\sf {\frac{-7}{8}^{3}}\\\\\sf {\frac{1}{\frac{-7}{8}^{3}}}\\\\\sf {\frac{-8}{7}^{-3}}

[NOTE - SLIGHT errors have been CORRECTED in the question.]

47.

a school has 700 students . for a p. t drill formation, students have to stand in straight line with equal number of rows and columns. how many students are left out from the formation​

Answer»

Answer:

rows and columns are equal.

so they are in form square

the NEAREST square to 700 is 676(26×26)

so, 24 members will be LEFT

48.

The sin A=3÷5 and A id in first quadrant then the values of sin2A, cos2A and tan2A are​

Answer»

ANSWER:

PL MARK me as the BRAINLIEST pl

49.

In the given figure, how many books are either old orhistoric but not both ?Books /43 /92 67Old/4657 3928Historic /​

Answer»

ANSWER:

where is the FIGURE?......

50.

Divya has ₹ 60 in her wallet . Each day she takes out₹ 5 . What integers represent the change in the number of ruppes in her wallet over 6days.

Answer»

Answer:

30

Step-by-step EXPLANATION:

PER DAY RUPEES 5 so 6×5=30