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.

Express sec 79° + 79° in terms of trigonometric ratios of angle between of 0° and 45°

Answer»

ANSWER:

\Longrightarrow\sec(79° + 79°)  \\  \\  \Longrightarrow \sec(158°) \\  \\   \Longrightarrow \sec(180° - 22°)  \\  \\   \large \boxed{  \bf \blue {\Longrightarrow   { \sec22° }}}

2.

The area of triangle 120 cm square. find the base if the measure of its corresponding altitude is 24 cm.

Answer»

\huge{\boxed{\tt{Answer:-10cm}}}

\sf\underline{\blue{\:\:\: Given:-\:\:\:}}

\sf\bullet Area \:of \:\triangle  =120cm{}^{2}\\ \\ \sf\bullet Altitude\: of \:triangle=24cm

\bigstar{\boxed{\sf{Area\:of\:\triangle=\dfrac{1}{2}\times base\times height}}}

  • Now

\sf\underline{\purple{\:\:\: SOLUTION:-\:\:\:}}

\sf\implies 120=\dfrac{1}{\cancel2}\times base\times \cancel{24}\\ \\ \sf\implies 120= 12\times base\\ \\ \sf\implies \cancel{\dfrac{120}{12}}=base\\ \\ \sf\implies 10=base

\sf\underline{Base\:of\triangle=10cm}

3.

Sujit covers on distance is 40 minutes if he drives at a speed of 60 km per hour on an average find the speed at which he must drive to reduce the time of journey by 25%

Answer»

ANSWER:

The SPEED is 80 km/hr.

hint: the DISTANCE is same

4.

If the mean of 8 observation is x x + 1 x + 3 x + 4 x + 5 x + 6 x + 7 is 50, find the median of first five observations​

Answer»

ANSWER:

dgGgegGbdabahzhdhYsysgwgzgfkHs

5.

Factorise (x-1)whole square (y-1)whole square

Answer»

Step-by-step EXPLANATION:

{x - 1}^{2}  =  {x}^{2}   + 1 + 2x

6.

Find a quadratic polynomial, the sum and product of whose zéroes are respectively -3 and 2.

Answer»

ANSWER:

omhb ygg

Step-by-step EXPLANATION:

hvshJkdy

gbhmmOyg

gkLihnfimGukgt

hK8jkoiyhcR

hjijKohtOu7hk

KoygMuyggji

bjiopgfynbfujko

jloihjkogvbkohb

7.

Taxi fare city is follows for first km it is rs 8 for subsequent distance it is re 5 per km write a linear equation for this information and draw graph

Answer»

Answer:

here is your ans

Step-by-step explanation:

TOTAL distance covered = X km. (Given)

         Fair for 1st kilometre = Rs.8 (Given)

         Fair for rest distance = (x 1) 5 (SINCE, it is given that except for first kilometre, the fare for subsequent distance is Rs 5 per km)

               Total fair = 8 + (x 1) 5

         y = 8 + 5x 5 (Total fare is given to be y)

         y = 5x + 3

         5x y + 3 = 0  

This is the required linear equation.

pls mark as brilliant

8.

FACTORISE(2m-5)(3a-2b) -(2m-5)(2b-3a) ?

Answer»

ANSWER:

[2m-5][3a-2b]-[2m-5][2b-3a]

[2m-5][3a-2b]-[2m-5]{-[3a-2b]}

[2m-5][3a-2b][1+1]

2[2m-5][3a-2b]

Step-by-step EXPLANATION:

9.

The perimeter of rectangle carpet is 220m. It's length is 60 m. Find its breathd ​

Answer»

ANSWER:

Since It is given that PERIMETER of RECTANGLE is 220m and

length = 60m

l=60m

Perimeter = 220m

2(l+b) = 220m

l+b = 110

b = 110 - 60

b= 50

Step-by-step explanation:

Hope it helps U

10.

Find the value in percentage : 25% of 50% of 100%25 x 502​

Answer»

ANSWER:

25/100 × 50/100 × 100/100

1/4 × 1/2 × 1

1/8

1/8 × 100

12.5%

is answer

and,

25 × 50

(25 × 50)/100

25/2

12.5%

is answer

and,

2

2/100

1/50

0.02%

THANKS for yours....

11.

The perimeter of a square is 64cm . What is the length of the diagonal.​

Answer»

ANSWER:So, the SIDE will be 16cm.

Then by using Pythagoras theorem,

Diagonal²=2×16²

Diagonal=16√2 cm.

I HOPE it HELPS you.☺

Step-by-step EXPLANATION:

12.

Find the number of days between teacher day and children's day

Answer»

Answer:

TEACHER's day is on 5 September

Children's day is on 14 November

Number of DAYS between them = 39 days

Plz MARK brainliest

Step-by-step explanation:

13.

A truck covers a distance of 384 km at a certain speed. If the speed is decreased by 16 km/h. it will take 2 hours more to cover thesame distance. 75% of its original speed (in km/h) is:​

Answer»

Answer:

75% of original speed is =48 km /hr

Step-by-step explanation:

Given,

TRUCK distance covered 384 km.

Speed of truck is =x km/hr

If speed of truck is decrease by 16 km/hr it will take 2 hours more to cover the same distance.

Find out the  75% of original speed of truck.

Solution,

New speed of truck is =(x-16)km/hr

384/\left ( x-16 \right )-384/x=2

384\left ( 1/\left ( x-16 \right )-1/x \right )=2

384\left ( x-\left ( x-16 \right ) \right )/\left ( x\left ( x-16 \right ) \right )=2

384\left ( x-x+16 \right )=2\left ( x^{2}-16x \right )

192\times 16=x^{2}-16x

x^{2}-16x-3072=0

x^{2}-64x+48x-3072=0

x\left ( x-64 \right )+48\left ( x-64 \right )=0

\left ( x-64 \right )\left ( x+48 \right )=0

x-64=0

x=64 km/hr

or

x+48=0

x=-48 km/hr  (Reject it because x=-48 km/hr NEVER possible .Speed cannot be NEGATIVE)

Calculate 75% of original speed

=x\times 75%%

=x\times 3/4

64\times 3/4=48km/hr

14.

Difference between moment animals and plant​

Answer»

ANSWER:

PLANET .................

15.

Integrate 1/1+tanx^1/2 dx from pie/8 to 3pie/8​

Answer»

Answer:

the new Zealand INTERNATIONAL was the only PLAYER in humans who had a GOOD chance to play for boys and they were not the FIRST to wear the ball and the ball had to wear the same gear as he was at his BEST in humans and he had to go back

16.

(10) The legs of a right triangle are in theratio 3 : 4 and its area is 1014 cm.Find the lengths of its sides and itsperimeter.​

Answer»

\huge{\boxed{\mathtt{\red{Answer:-}}}}

\sf\underline{\blue{\:\:\: <klux>GIVEN</klux>:-\:\:\:}}

  • Sides of ∆ =3:4

  • AREA of ∆= 1014sq.cm

Let the side of ∆ be X

Then 3x and 4x

\boxed{\sf{Area\:of\triangle=\dfrac{1}{2}\times base\times height}}

\sf\underline{\red{\:\:\: A.T.Q:-\:\:\:}}

\sf\implies 1014=\dfrac{1}{2}\times 3x\times 4x\\ \\ \sf\implies 1014\times 2= 12x{}^{2}\\ \\ \sf\implies 2028=12x{}^{2}\\ \\ \sf\implies \cancel{\dfrac{2028}{12}}=x{}^{2}\\ \\ \sf\implies 169=x{}^{2}\\ \\ \sf\implies \sqrt{169}=x\\ \\ \sf\implies {\blue{x=13}}

  • Now sides of ∆

\sf\bullet 3\times 13= 39cm\\ \\ \sf\bullet 4\times 13= 52cm

  • We have to FIND the perimeter of ∆

  • .Two sides are given find the 3rd side of ∆ by Pythagoras theorm

\boxed{\sf{Hypotenuse {}^{2}=Perpendicular {}^{2}+base{}^{2}}}

\sf\implies H{}^{2}= (39){}^{2}+(52){}^{2}\\ \\ \sf\implies H{}^{2}=1521+2704\\ \\ \sf\implies H{}^{2}= 4225\\ \\ \sf\implies  H=\sqrt{4225}\\ \\ \sf\implies H=65cm

  • Now the perimeter of ∆

\boxed{\sf{\purple{Perimeter\:of\:\triangle=Sum\:of\:All\:sides}}}

\sf{Given:-}\begin{cases}\sf{Sides\:of\: triangle}\\ \sf{39cm\:\:,52cm\:\:,65cm}\end{cases}

\sf\implies Perimeter=39+52+65\\ \\ \sf\implies Perimeter= 156cm

\underline{\boxed{\sf{Perimeter\:of\triangle=156cm}}}

17.

US OT the above questions, did you verify the theoons, did you verify the theorem of equal ratios?(1) Fill in the blanks in the following statements.Ex (1) Fill in the6(i)37(ii)=--5x - 3y + 4zSolution : (i)=3 5 4b 4a +9b 4a +9b 4a +9b37 4x3+9x7 12+63 755xx -3x y 4x2= - = - = - =-5x3 - 3x5 4x4– 5x _ -3y _ Az15 -15 165x - 3y + 4z----(by the theorem of equal ratio)15-15+165x - 3y + 4z16​

Answer»

ANSWER:

Not CLEAR??

The QUESTION is a MESS.

18.

1. René Descartes was aa) Pronch mathematicianth Indian mathematicianc) Russian mathematicianIch British mathematician​

Answer»

ANSWER:

Pronch

Step-by-step EXPLANATION:

19.

• Ranu needs 1,97,018.63 after 1 years. How much money should she invest to get required money, ifinterest is calculated compounded quarterly at the rate of 12% p.a.?​

Answer»

Step-by-step explanation:

197018.63÷12=16418.2192

SO, SHE REQUIRE 16418.2192

BECAUSE 16418.2192×12

=197018.63

SO THE ANS IS 16418.2192

20.

Re.18. Nidhi purchased a dress which was on sale at 15% off the original price. The original price of the dress was 660.(a) How much money did she save with this discount?(b) How much money did she pay for the dress?​

Answer»

A.15/100*660=99
B.660-99=561
Please MARK as BRAINLIEST

21.

Where should i go isro or nasa or software engineering?​

Answer»

Answer:

Try NASA or SOFTWARE engineering

Hope this HELPS U

22.

What sum will amount to Rs 5525 at 10% p.a. simple interest in 3 years?

Answer»

Answer:

By given, Amount=5525

rate=10%

time=3 years

To FIND:Principal

AMOUNT=PRINCIPAL +SI

SI =AMOUNT-PRINCIPAL

SI=5525-P

simple \: interest =  \frac{prt}{100}  \\  5525 - p =  \frac{p \times 10 \times 3}{100}   \\ 5525 - p =  \frac{3p}{10} \\ 5525 =  \frac{3p + 10p}{10} \\ 5525 \times 10 = 13p \\ p = <klux>4250</klux>

So principal is 4250 rupees

Please mark it as brainliest

23.

5x^2=4x+7 using completing square method​

Answer»

ANSWER:

The SOLUTION for this QUESTION is SOLVED above

24.

How many two digit nmbers are divisible by 5 ?​

Answer»

Answer:

The number that ends with 0 or 5 is DIVISIBLE by 5..

Step-by-step explanation:

EXAMPLE can be 10,15,20,25,30...ETC.

25.

Find the wole quantity of 8percent of it is rs1080​

Answer»

I didnt UNDERSTAND sorrry

26.

18. गुणा करें।(क) 15x6(घ) 65x10019. भाग दें।(क)72+9(घ) 756+7​

Answer»

Answer:

15×6=90

Step-by-step EXPLANATION:

and 65×100=650000

27.

Please guys help me to do this with a pic ​

Answer»

ANSWER:

USE the formula

CP = CP * 100/100+ or - gain% or LOSE%

SP = 100+ or -gain% or lose%/100 * CP

28.

TOY PAU.18. If a and B are zeroes of the polynomial f(x)= x-x-k, such that a - B = 9, find k.​

Answer»

ANSWER:

Step-by-step EXPLANATION:

29.

Solve x,y if a=(2/x 3/4), b= (5/4 y/2) and 2a+b= (9/0 1/10)​

Answer»

ANSWER:

fy9ycichihicigcigxigxxgxichixgxgcgixigxigcigcigcigcigcigcigxigxgixgixgixigxgixigxigxgxj

Step-by-step EXPLANATION:

it is CORRECT

30.

a field is in the form of a right triangle with sides 90 m and 120 m respectively containing the right angle. calculate the cost of levelling the fiels at the rate of ₹12 per square m.​

Answer»

Answer:

Step-by-step explanation:

ab^{2} +bc^{2} =ac^{2}

The hypotenuse = 130

area=1/2 * base * HEIGHT

      =1/2 * 120 * 90

      =5400 METRE SQUARE

cost = 5400 * 12

       = ₹64800

31.

Yox 26 x 55121 8. 117 simpify​

Answer»

ANSWER:

Step-by-step EXPLANATION:

32.

-geneIf non parallel sides of a trapezium are equal prove it is cyclic​

Answer»

SINCE the adjacent angels of a QUADRILATERAL are supplementary THEREFORE it can be proved as CYCLIC.

33.

How many two digit numbers are divisible by 5 such that reminder is 1.

Answer»

Answer:

5 ×10

Step-by-step explanation:

5×10

it is DIVISIBLE by 5

34.

What is ! in mathematics​

Answer»

ANSWER:

! is USED as FACTORIAL..

35.

A man standing at the top of the tower observes on either side of the tower at two points at angle of depression 56 degrees and 74 degrees underground draw the correct diagram of the above information

Answer»

Let \: A\: be \:the \: position \:of \:the \:man \\standing \:at \:the \:top \:of \:the \: Tower.

Let\:  D \:and\:B \:be \: two \:points \: on \:either\\side \:of \:the \: tower\:such \:that \:the \:angles \\of \: depression \:at \: B \:and \: D \: are \: 74\degree \\and \:56\degree \: respectively .

Height \:of \:the \: Tower = AC

Distance \: between \:the \:two \:points = BD

•••♪

36.

F(x)=2x² and g(x)=3x+1 find:1. f(x)+g(x)2. f(x)- g(x)3. f(g(x))4. f(x)²5. f(x)³-g(x)+g(x)²

Answer»

I) (X+1)(2x+1)

3)2x^2(3x+1)

4)4x^4

37.

A pencil has one curved and two plane surface

Answer»

What is the QUESTION

38.

If the diagonals of rectangle are 2x+7 and 5x-2 find its length

Answer»

Answer:

9.19

Step-by-step explanation:

by PYTHAGORAS theoram.first FIND X value and SUBSTITUTE in diagonal. then do pythagoras theorem to find length from TRIANGLE aob

39.

What is the value of u 80

Answer»

The VALUE of what U

40.

What in the missing number of 2

Answer»

I did NT UNDERSTAND the ....PLS EDIT I'll HELP

41.

The diagonal distance of square shaped ground is 60 meter ,then the area of the ground is

Answer»

Answer:

AREA of the ground is approximately 1800 m^2

Step-by-step EXPLANATION:

DIAGONAL of a suarq =√2a

√2a = 60

a = 42. 4264.....

area of a square =a^2

= ( 42.4264) ^2

= 1800 cm square

42.

Shavi purchased some books for 120 rupees if we purchase a 3 morefor some account each book would have low cost to less find the number of books

Answer»

ANSWER:

UNABLE to answer SORRY

43.

If a certain number, x, is increased by 7, it will be equal to 5 less than twice that same number. The correctequation for the above sentence is[1] 7x = −5(2x).

Answer»

Answer:

The correct  equation is: x + 7 = 2x - 5.

Step-by-step EXPLANATION:

Let the number be x.

On INCREASING the number x by 7, the equation is: x + 7.

The resultant number EQUALS to 5 less than twice the number x.

The final equation is:

x + 7 = 2x - 5.

44.

In the figure given below, find the values of x and y with diagram​

Answer»

ANSWER:

Where is the FIGURE?

Step-by-step EXPLANATION:

45.

Identify the terms and their factorsShow the terms and factors by tree(a) x - 3 (b) 1+(d) 5xy2 + 7x²y. e) - ab​

Answer»

MAI TUMKO KAL ANSWER deti hu .

46.

शून्य में 60 का भाग देने पर भाज्य, भाजक, भागफल एवं शेषफलक्रमशः है-(a)0, 60, 0, 0(b) 60, 0, 1,0(c)0, 60, 9, 1 .(d) 60, 0, 0,1​

Answer»

(a ) यह आपका उत्तर

कृपा कर मुझे लाइक करें

47.

F. How many two-digit numbers are divisible by 5 ?​

Answer»

Answer:

18

PLZ MARK brainliest

Step-by-step EXPLANATION:

48.

19/w that:-T-diameter of the planets Jupiter a​

Answer»

I didnt UNDERSTAND

The QUESTION

49.

9. What is the value of cot? 0 - -sin09​

Answer»

Step-by-step EXPLANATION:

COT0 = COS0 / sin0

cos²0/ sin²0 - 1/sin²0

= cos²0 - 1 / sin²0

= -sin²0 / sin²0

= -1

PLEASE MARK AS BRAINIEST

50.

a cylinder whose height is two third of its diameter has the same volume as the sphere of radius21 cm.find csa of cylinder​

Answer»

Answer:

Hye

Here is the answer.

HOPE it HELPED you.

PLEASE MARK it the brain list answer.