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.

22. Find the area of right angled triangleABC in which AB=AC=4 cm and right angleis at A.*​

Answer»

Answer:

8 cm sq.

Step-by-step explanation:

Given that,

There is a ∆ABC such that, it is RIGHT angled at vertex A.

Also, the length of sides are given as,

To find the area of ∆ABC.

\red{Diagram:-} Refer to the attachment.

In the drawn figure of ∆ABC, we cam Clearly see that,

AB is the perpendicular length of ∆ABC and,

AC is the base length of ∆ABC.

Now, we know that,

Area of right ∆ = ½ × perpendicular × base

Therefore, we will GET,

=> ar(∆ABC) = ½ × 4 × 4

=> ar(∆ABC) = 2 × 4

=> ar(∆ABC) = 8

Hence, the required area of ∆ABC is 8 cm sq.

2.

Find the estimated quotient for each of the following:2. 83:175. 725 - 231. 87+284. 193-247. 633=3310. 868 +383. 75:236. 275:259. 858-398. 729-29​

Answer»

ANSWER:

THANKS yyyyy you are a few YEARS AGO and

3.

How ADSTACTOM is used to balance an unbalanced three-phase three-wire linear load? How the degreeof unbalance in the load affects the power rating of the DSTATCOM?​

Answer»

Answer:

: LOAD balancing, D-STATCOM, POWER Quality. 1. ... STRUCTURE of D-STATCOM USED in both CURRENT control and ... Fig.1 shows three-phase three-wire DSTATCOM,

4.

How much heat is required to produce a thrust/force of 1000N?​

Answer»

ANSWER:

SRY I DONT KNOW.......

........

5.

A man has only 20 rupee notes and 50 rupee notes in his wallet. If he has15 notes in all totaling ₹ 510, how many notes of each kind does hehave?

Answer»

Answer:

20 rupee note =8 and 50 rupee note =7

Step-by-step explanation:

Let 20 and 50 rupee note be x and y respectively

x+y=15 (EQUATION -1)

20x+50y=510 (EQ.2)

×=15-y(eq 1 by SOLVING )

put VALUE of x in second eq

20(15-y)+50y=510

300-20y+50y=510

300+30y=510

30y=510-300

3oy=210

y=210/30

y=7

Now put value of y in eq 1 then u will get x = 8 then no of 20 rupee note is 8 and 50 rupee note is 7

HOPE U GOT THE ANSWER

IF U HAVE ANY DOUBT U CAN CONNECT ME

6.

Period of mod |sinx|=?

Answer»

Answer:

hy

Step-by-step explanation:

period of MOD |sinx|=?

|SIN x| has a period of π. |COS x| has also a period of π. Period of |sin x|+|cos x| will be the LCM of the TWO periods of the FUNCTIONS. Hence, period is π

7.

Write down three numbers whose only prime factor is 3​

Answer»

ANSWER:

three NUMBERS whose only prime FACTOR is 3 are 3,9,27

8.

If √3=1.732,then√12=​

Answer»

Answer:

3.46410161514

Step-by-step EXPLANATION:

PLZ MARK as BRAINLIEST

9.

Find the sum of integers between 0 and 500 which are divisible by 7 ​

Answer»

\rule{400}4

☆ ANSWER:-

▪︎ To Find:-

  • The sum of integers between 0 and 500 which are divisible by 7.

▪︎ So,

• The numbers between 0 and 500 are which are divisible by 7 are:-

=》 7, 14, 21,......497.

\rule{400}2

▪︎ Formulas Used:-

\sf\leadsto a_n = a+(n-1)d. \\ \\ \sf\leadsto S_n = \frac{n}{2}(a+a_n)

• Where,

  • n = number of TERMS.
  • \sf a_n = n^{th} \:\:<klux>TERM</klux>.
  • d = COMMON Difference.
  • a = First Term.
  • \sf S_n = Sum of nth terms.

\rule{400}2

▪︎ So, Here:-

  • \sf a_n th term is 497.
  • d = 7.
  • a = 7.
  • n = ??
  • an = 497.

\rule{400}2

\tt\mapsto \: a + (n - 1)d = 497 \\  \\ \tt\mapsto 7 + (n - 1)7 = 497 \\  \\ \tt\mapsto\cancel{7} + 7n\cancel{ - 7 }= 497. \\  \\ \tt\mapsto7n = 497. \\  \\ \tt\mapsto  n = \cancel \frac{497}{7}  \\  \\ \tt\mapsto n = 71.

\therefore There are 71 terms between 0 and 500 which are divisible by 7.

\rule{400}2

• So sum of 71 terms between 0 and 500 which are divisible by 7 is:-

\\ \tt\mapsto \: S_n =  \frac{n}{2} (2a + (n - 1)d) \\  \\ \tt\mapsto \: S_{71} =  \frac{71}{2} (7 + 497) \\  \\ \tt\mapsto \: S_{71} =  \frac{71}{\cancel2} (\cancel{504}) \\  \\ \tt\mapsto S_{71} = 71 \times 252 \\  \\ \tt\mapsto \: S_{71} = 17892\\

\rule{400}4

▪︎ Therefore sum of integers between 0 and 500 which are divisible by 7 is 17892.

\rule{400}4

10.

338which of the following is not in thenatural numberA) Additive identityB)closurepropertyW.R.T+C)accociàtivepropertyw..r.t×D) commutative w.r.t+​

Answer»

ANSWER:

ADDITIVE IDENTITY is nor there in NATURAL NUMBERS

11.

5.(x^2+1)^2 - x^2=0 hasO 1. Four real rootsO 2. Two real roots3. No real roots4. One real roots​

Answer»

ANSWER:

so SORRY dear

Step-by-step EXPLANATION:

please FOLLOW me

12.

The distance of the point (-10, 3) from x-axis isa) 10 unitsb) -10 unitsc) 3 unitsd) -3 units​

Answer»

Answer:

10 UNITS is the DISTANCE between X AXIS and the POINT

13.

A fast train takes 2 hours less for a journey of 300 km in comparison to a slow train whose speed is 5 km/h less than that of the fast train. The speed of fast train is equal to

Answer»

Answer:

LET THE SPEED OF FAST TRAIN BE V

DISTANCE IS 300KM

SPEED OF SLOW TRAIN IS V_5

So

TIME TAKEN BY SLOW TRAIN IS DISTANCE/SPEED =300/(V_5)

TIME TAKEN BY FAST TRAIN =DISTANCE/SPEED =300/V

GIVEN

Time TAKEN BY FAST TRAIN IS 2 HOURS LESS THAN SLOW TRAIN

SO

300/V=300/(V_2)+2

ON CROSS MULTIPLICATION

300V_1500=290V+2V^2

10V_1500=2V^2

2V^2_10V+1500=0

V^2_5V+750=0

V^2_30V+25V=0

ON SOLVING THIS QUADRATIC EQUATION WE GET

V=30km/hr

but iam not sure of my answer

14.

Write as a decimal 7+12/100​

Answer»

ANSWER:

your answer

700+12/100

=712/100

7.12

follow THANKS me

15.

Circle the fractions that are less than 1 ​

Answer»

A and c
I HOPE it is RIGHT

16.

How much interest will be earned on 2.000 at 6 % simple interest for 2 years.​

Answer»

Step-by-step EXPLANATION:

S.I =PRT/100

=2000×6×2/100

=240rs

17.

The product of LCM and HCF of two numbers bis equal to a: sum of numbers , b: Difference of numbers , c: Product of numbers , d: Quotients of numbers ( please give full explanation of answer !!!!​

Answer»

Answer:

PRODUCT of number

Step-by-step explanation:

It is a type of law which signifies that product of HCF and LCM is always equal to product of number

18.

IF log√8↑x=3 1/3then a equal to x​

Answer»

ANSWER:

LOGX (log18(√2+√8)) = 1/3

x1/3 = log18(√2+√8)

x1/3 = log18(3√2)

√18 = √9√2 = 3√2

So, x1/3 = log18(18)1/2

x1/3 = 1/2

(x1/3)3 = (1/2)3

X = 1/8. So, 1000x = 125.

19.

4. Which of the followingequation has two distinct real root? 2 pointsO 1.2x^2 - 3/2x + 9/4=0O 2.x^2 + x - 5 =0O 3.x^+3x+2/2=0O 4.5x^2-3x+1=0​

Answer»

ANSWER:

Step-by-step EXPLANATION:

20.

A man spends 15% of his income on agriculture, 21% on family and 24% oneducation of children. If he saves Rs. 360, find out the total income.​

Answer»

Answer:

900

Step-by-step explanation:

money spent on agriculture - 15 percentage

money on FAMILY - 21 percentage

education - 24 percentage

money saved - 100-(15+21+24)

money saved - 40 percentage

40 percentage - 360

TOTAL income - 360 * 10/4 - 900

21.

Rational number between -1 upon 3 and 1 upon 2​

Answer»

ANSWER:

answer=-1/6

0

1/6

2/6

Step-by-step explanation:

there can be INFINITE numbers between 2 rational or irrational numbers

22.

The mean of 6,10,0,7,9 is ???​

Answer»

Answer:

8.4

Explanation:

plus all the values GIVEN and then DIVIDE by the number of VALUE it is given. In that CASE its 5

23.

This is question 2598mg=​

Answer»

Answer:

2g598 mg.ok FOLLOW THANKS me

24.

6. Ifa and B are the zeros of the quadratic polynomial f(x) = x2 + x - 2, find the value of1/alpha -1/beta ​

Answer»

f(x) = X2 + x - 2

f(x)=x^2-1x+2x-2

f(x)=x(x-1)+2(x-1)

f(x)=x+2=0. x-1=0

f(x)=x=-2. x=1

-2,1 are the zeroes of the polynomial

alpha=-2 beta=1

1/alpha -1/beta

1/-2-1/1

(1×1)-(-2×1)/-2

1+2/-2

3/-2

The value of 1/alpha -1/beta=3/-2

I hope it's help you

Plz MARK my ANSWER as a BRAINLIEST answer

25.

Find two rational number between 1 upon 5 and 4 upon 5 are​

Answer»

ANSWER:

The TWO RATIONAL NUMBERS between 1/5 and 4/5 are as follows-

  1. 2/5
  2. 3/5

Step-by-step EXPLANATION:

26.

Reciprocal of sin A is

Answer»

Answer:

Cosecant is the Reciprocal of sine. It's abbreviations is CSC. To DETERMINE CSC just FLIP sin over Secant is the reciprocal of COSINE

27.

2. An aeroplane 3000 m high passes vertically above another aeroplane at an instant whenthe angles of elevation of the two aeroplanes from the same point on the ground are 60 degree and 45 degree respectively. find the vertical distance between the two planes.​

Answer»

The vertical DISTANCE between two planes is 1268 m

Step-by-step explanation:

As shown in figure A and B are the positions of the aeroplanes. the angle of ELEVATION of A is 60° and the angle of elevation of B is 45°

Let CD = x and BC = h

In ΔACD

\tan 60^\circ=\frac{AC}{CD}

\implies \sqrt{3}=\frac{3000}{x}

In ΔBCD

\tan 45^\circ=\frac{BC}{CD}

\implies 1=\frac{h}{x}

\implies h=x

Therefore,

\sqrt{3}=\frac{3000}{h}

\implies h=\frac{3000}{\sqrt{3}}

\implies h=\frac{3000\sqrt{3}}{3}

\implies h=1000\times 1.732

\implies h=1732 m

Therefore, the vertical distance between the planes

=3000-1732

=1268 m

Hope this answer is helpful.

Know More:

Q: An aeroplane when 3000m high passes vertically above another aeroplane at an instant when the ANGLES of elevation of aeroplane at the same observation points are 60° and 45°.how much high is the ONE plane than the other?

Click Here: brainly.in/question/989228

Q: An aeroplane when flying at a height of 4000 m from the ground passes vertically above another aeroplane at an instant when the angles of elevation of two planes from the same point on the ground at 60 degree and 45 degree respectively find the vertical distance between the aeroplanes at that instant.

Click Here: brainly.in/question/7798714

28.

Using rearrangement , evaluate a) 125x25x(-2)x4​

Answer»

ANSWER:

-25000

Step-by-step EXPLANATION:

PLZ MARK as BRAINLIEST

29.

6 xsquare + 17xy + 5y square​

Answer»

\huge\mathfrak\red{YOUR ANSWER}

16x²+17xy+5y²=(a+b)²

(a+b)²=a²+2ab+b²

✓16x² and ✓5y²

=4x and ✓5 y

so your solution COMES=(4x+✓5y)²

●═══════════◄ HOPE IT HELPS YOU PLEASE MARK AS BRAINLIEST ►═══════════●

30.

8. The polynomial x3 + 2x2 – 5bx – 8 and x3 + bx2 – 12x – 11 when divided by (x – 2) and(x – 3) leave remainder p and q respectively. If –p + q = 10, find the value of b.

Answer»

ANSWER:

b = 2

Step-by-step explanation:

Refer to ATTACHED FILE for explanation.

Hope this answer HELPS you ^_^ !

31.

1. Find the quotient and the remainder when2x2 - 7x – 15 is divided by:(1) 2x + 1 ​

Answer»

GIVEN: The polynomial 2x² - 7x – 15

To find: the quotient and the remainder when divided by 2X + 1

Solution:

  • Now we have the polynomial 2x² - 7x – 15.
  • Dividing it by 2x + 1, we get:

                 2x + 1 )  2x² - 7x – 15  ( x - 4

                               2x² + x

                              ( -       -              )

                                       -8x  - 15

                                       -8x  -  4

                                       ( +      +     )

                                                 -11

                quotient is x - 4

                 remainder is -11

Answer:

                 So the quotient is x - 4 and the remainder is -11.

32.

34/245 in decimal form is​

Answer»

34/245

= 0.13877551

Please MARK me in the BRAINLIST ✌️✌️✌️✌️✌️✌️✌️

33.

Q2. Ravish invests Rs. 2,50,000for 2 years at 8% per annumcompounded annually. if 10% ofthe interest accrued at the endof each year is deducted asincome tax , find the amount hereceived at the end of 2 years. *​

Answer»

GIVEN :   Ravish invests Rs. 2,50,000 for 2 YEARS at 8% per annum compounded annually. if 10% of the interest accrued at the end of each year is deducted as income tax  

To find : the AMOUNT he received at the end of 2 years

Solution:

P = 250000  Rs

R  = 8 %

USING Simple interest for 1 st year = P * R * T /100

Interest in 1 st Year  = 250000 * 8 * 1 /100  = Rs 20000

TDS Deducted = (10/100)2000 = Rs 2000

Amount at end of 1st Year = 250000 + 20000 - 2000

= 268000 Rs

Interest in 2nd Year  =  268000 * 8  * 1 /100 = Rs 21440

TDS deducted = (10/100)21440 =  Rs 2144

Amount after  2 Years = 268000 + 21440  - 2144 = Rs 287296

amount he received at the end of 2 years =  Rs 287296

Learn More:

hey @amitnrw please help me - Brainly.in

brainly.in/question/7645846

Without using C.I FORMULA, calculate compound interest on ₹50,000 ...

brainly.in/question/13246711

calculate the CI in 28000 at 12% per annum compounded annually ...

brainly.in/question/11840408

34.

Please simplify it please please ​

Answer»

Answer:

1

Step-by-step explanation:

21/21=1

hope this HELPS you

35.

Find the equation of a line making intercepts 4and -7on x and y axes respectively ​

Answer»

ANSWER:

I am so SORRY as I don't KNOW the answer

36.

[7x8] x5=7 x [8x5] this statement shows that multiplication of whole numbers is ​

Answer»

this STATEMENT SHOWS that MULTIPLICATION of WHOLE number is equal

37.

Card numbered from 5 to 70 are put in a box and a Card is selected at random, what is the probability of the Selected card is multiple of 6

Answer»

Answer:please mark me as brainliest

Step-by-step explanation:

the MULTIPLES of 6 are

6,12,18,24,30,36,42,48,54,60,66

therefore total no of multiples between is 11

so the probalityof getting a random  CARD of multiple of 6 is

total no of multiples - total no of cards

==(70-11)

=59

so the PROBALLITY of getting a card of multiple of 6 is

=  6/59

38.

Prove that the square of an odd number is also odd.

Answer»

FIRSTLY take some ODD NUMBERS 1,3,5,7,11

As we all KNOW formula of odd numbers is 2n-1

( n is the odd numbers)

2n-1= 2×1-1=1

2n-1=2×3-1=5

2n-1=2×5-1=9

2n-1=2×7-1=13

2n-1=2×11-1=21

39.

The distance of the point (-6, -2) from y-axis isa) 6 unitsb) 2 unitsc) -6 unitsd) -2 units​

Answer»

Step-by-step EXPLANATION:

- 2 UNITS is the CORRECT ANSWER

40.

2 X square + 9 X Y + 9 y square​

Answer»

4x²+9y²+16z²+12xy-24yz-16xz

= (2X)²+(3Y)²+(-4Z)²+2[(2x)(3y)+(3y)(-4z)+(-4z)(2x)]

=(2x+3y-4z)²

= (2x+3y-4z) (2x+3y-4z)

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41.

3 x square + 5 x + 2​

Answer»

Step-by-step explanation:

3x² + 5x + 2

3x² + 3x + 2x + 2

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

(3x + 2) ( x + 1 ) answer

42.

Prove that 2 +3root5 is rational or irrational​

Answer»

ANSWER:

photo

Step-by-step explanation:

photo

FOLLOW me and mark brainlist

43.

On the moon the acceleration of gravity is 1.6m/sec(square).If a rock is dropped into a crevase,how fast will it be going just before it hits bottom 30sec later? with solution​

Answer»

Answer:

If a rock is DROPPED into a crevasse, how fast will it be going just before it hits bottom 30 sec later?

(b) How far below the point of release is the bottom of the crevasse?

(c) If INSTEAD of being released from rest, the rock is thrown into the crevasse from the same point with a DOWNWARD velocity of 4 m/sec, when will it hit the bottom and how fast will it be going when it does?

Step-by-step explanation:

HOPE it helps you

44.

Through a Bar Diagram show the Annual Rate of Forest CoverChange in India for the past 5 years.

Answer»

ANSWER:

Step-by-step EXPLANATION:

PICS can't be ATTACHED for me

45.

What is the LCM of 45,105,165by finding prime factors

Answer»

Step-by-step EXPLANATION:

LCM is 165

Mahi PLANE BRAIN list ok mark I am the best

46.

All big stadiums of india is a set or not with reason​

Answer»

ANSWER:

YES all re set PLEASE MARK as brainlist

47.

Ram takes 4 hours more than Shyam to walk 24 km. If Ram doubles hisspeed, he is ahead of Shyam by 2 hours. Assuming their speeds in firstcase as two variables, represent this in the form of a pair of linearequations.

Answer»

Step-by-step explanation:

I can't understand the QUESTION . SEND me CLEARLY

48.

Collect information about their origin meaning and their use in different area of mathematics of symbol​

Answer»

Basic MATH symbols

Symbol Symbol Name Meaning / definition

* asterisk multiplication

× times SIGN multiplication

⋅ multiplication dot multiplication

÷ division sign / obelus division

PLEASE add to BRAIN list ANSWER

49.

The angle of elevation of the top of a tower from a point A Con the sound is 30walking 50 m towards the tower, the angle of elevation is found to be late(i) the height of the tower (correct to one dedmal place)(1) the distance of the tower from A​

Answer»

Answer:

POINTS of OBSERVATION Then

AD

AB

=TAN60

0

=

3

⇒AD=

3

AB

=

3

h

AC

AB

=tan30

0

=

3

1

⇒AC=AB×

3

=h

3

CD=(AC−AD)=(h

3

−

3

h

)

∴h

3

−

3

h

=24⇒h=12

3

=(12×1.73)

=20.76m

Hence the height of the tower is 20.76 m

50.

WOR!Fill in the Blanks :1. Sum of a rational and an irrational is always2. Product of two irrational numbers is always3.is only even prime number.4. Sum of two irrational numbers can be5. Product of two irrational numbers can​

Answer»

Answer:

1. IRRATIONAL

2. RATIONAL or irrational

3. 2(TWO)

4. irrational or it can be rational

5. rational or irrational