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.

3. Prove that the following are irrationals: (1) 1/undeeroot2(ii) 7/underroot5(iii)6+underroot2​

Answer»

2

1

Let us assume

2

1

is rational.

So we can write this number as

2

1

=

b

a

---- (1)

Here, a and b are two co-prime numbers and b is not equal to zero.

Simplify the equation (1) multiply by

2

both sides, we get

1=

b

a

2

Now, divide by b, we get

b=a

2

or

a

b

=

2

Here, a and b are integers so,

a

b

is a rational number,

so

2

should be a rational number.

But

2

is a irrational number, so it is contradictory.

Therefore,

2

1

is irrational number.

(ii) 7

5

Let us assume 7

5

is rational.

So, we can write this number as

7

5

=

b

a

---- (1)

Here, a and b are two co-prime numbers and b is not equal to zero.

Simplify the equation (1) divide by 7 both sides, we get

5

=

7b

a

Here, a and b are integers, so

7b

a

is a rational

number, so

5

should be a rational number.

But

5

is a irrational number, so it is contradictory.

Therefore, 7

5

is irrational number.

(iii) 6+

2

Let us assume 6+

2

is rational.

So we can write this number as

6+

2

=

b

a

---- (1)

Here, a and b are two co-prime number and b is not equal to zero.

Simplify the equation (1) subtract 6 on both sides, we get

2

=

b

a

−6

2

=

b

a−6b

Here, a and b are integers so,

b

a−6b

is a rational

number, so

2

should be a rational number.

But

2

is a irrational number, so it is contradictory.

Therefore, 6+

2

is irrational number

2.

PARTA1) Write one solution for the equation 2y + 3x - 9​

Answer» ONG>ANSWER:

x=3 and y=0

x=0 and y=9/2

3.

If shopkeeper has 10 mangoes. he gave the 5 mangoes to a man and 3 mangoes 2 a lady and a shopkeeper get again 20 mangoes and he gave 10 mangoes to another shopkeeper and 4 mangoes to a kid how many mangoes did he have now?tough but simple​​

Answer» IX) is the ANSWER

Step-by-step EXPLANATION:

he have 6 MANGOES

4.

It takes 2 hour for 6 pipes to fill a tank. How much time will be needed to fill 10 such tanks if 12 pipes are used ? ​

Answer»

ong>Step-by-step explanation:

6 PIPES fill tank in 2 hrs

1 PIPE fill tank in 6×2 hrs

12 pipe fill tank in 6×2/12 hrs

= 1 hour

time taken for 12 pipes to fill 10 tanks = 10 × 1= 10 hrs

5.

निम्नलिखित पूण घन संख्या आकलन द्वारा ज्ञात करें 4913​

Answer»

ong>Answer:

4913 के लिए:

4913 के घन मूल के इकाई स्थान पर 7 है, क्योंकि 3 से समाप्त होने वाली संख्याओं के घनमूल का इकाई अंक 7 होता है। 4913 के दाएँ से तीन स्थान चलने पर हमें 4 प्राप्त होता है क्योंकि 13 = 1, और 23 = 8 अत: 13 < 4 <23. अत:, 4913 के घनमूल का दहाई अंक 1 होगा।

6.

(25) Use Euclis division algorithm to find the H.C.F. of 847 and 2160.​

Answer» ONG>SEE ATTACHED PICTURE

\sf\blue{hope \: this \: helps \: you!! \: }

@Mahor2111

7.

What is the difference netween batter system and number system?​

Answer» ONG>Answer:

The PRIMARY difference between BARTER and currency systems is that a currency system uses an agreed-upon form of paper or COIN money as an exchange system rather than directly TRADING goods and services through bartering

8.

You have two pipes P1 and P2 that can fill a large bucket in 4 hours and 2 hours, respectively and you open the pipes at alternate hours. In the give context, how many hours will it take to fill the bucket if you open P1 first?​

Answer»

hours
FIRST HOUR- 1/4 of the BUCKET is filled
Second hour- 1/4+1/2 bucket is filled = 3/4 bucket is filled
Third hour 1/4 is LEFT which is filled by P1.

9.

. A tank can be filled with water by two pipes A and B together in 36 minutes. If the pipe B was closed after 30minutes, the tank is filled in 40 minutes. The pipe B canalone fill the tank in(a) 45 mints (b) 60 mints (c) 75 mints (d) 90 mints​

Answer»

ong>ANSWER:

90 MINTS

is the answer

mark me as a BRINLIEST

10.

У роппо 10.wigile5))Find the distance between the points R(0, - 3) and S ​

Answer»

ong>ANSWER:

don't KNOW what is the answer

Step-by-step explanation:

SORRY for that

11.

Please answer fastspammers will be reported​

Answer» ONG>Answer:

1=c

2=b

3=b

Step-by-step EXPLANATION:

MAY it will HELP you

12.

Please give me answers now​

Answer»

ong>ANSWER:

Its too blur

Step-by-step explanation:

Meaning kuchh pata nahi chal RAHA

13.

सुतारपक्षाCrow(को) काव-Peacock(पिकॉक) मोर​

Answer» ONG>ANSWER:

Step-by-step EXPLANATION:

14.

Find the value of x in : |x+3|-|x|=3 ​

Answer»

ong>Answer:

Let mod (x-2) = A & mod ( x-3) = B, both A& B are positive.

And since A + B = 1

So A & B can hold values from 0 to 1

ie 0 < ,= A <,=1

Also, 0 < , = B < , = 1

=> 0 < mod (x - 2) < 1 ……………..(1)

And 0 < mod ( x-3) < 1 ……………(2)

=> x-2 = 0 through 1 ( by (1)

=> x = 2 through 3 ●●●●●●●(3)

Now, x-3 = 0 through 1

=> x = 3 through 4 ●●●●●●●●(4)

Now we select the values of x from ●●●(3) & ●●●(4) , which satisfy EQUATIONS …(1) & ….(2) both

And those are

x = 2 through 3

ie, 2 <,= x <,= 3

So, values of x are all real numbers LYING between 2 & 3 , INCLUDING 2 & 3.

Step-by-step explanation:

15.

In Find the values of a and b from the quadratic equation 2x2 - 5 + 7 = 0 ill) Find X, if fixi = 252 and fi = 420,​

Answer» ONG>Answer:

Given 2x

2

−5x+7=0

The standard QUADRATIC equation is ax

2

+bx+c=0

by COMPARING we GET a=2,b=−5,c=−7

∴ a=2,b=

16.

Solve this question. ​

Answer» ONG>ANSWER:

MARK as brilliant

Step-by-step EXPLANATION:

\frac{2 \times  {3}^{4}  \times {2}^{5}  }{ {3}^{2} \times ( { {2}^{2} })^{2}  }  =   \frac{ {2}^{6} \times  {3}^{4}  }{ {2}^{4} \times  {3}^{2}  }

= \frac{ {2}^{6} }{ {2}^{4} }  \times  \frac{ {3}^{4} }{ {3}^{2} }

=  {2}^{6 - 4}  \times  {3}^{4 - 2}

=  {2}^{2}  \times  {3}^{2}

= 4 \times 9

= 36

17.

Classify thegiren sumberrational 7. 474747.. And1.10100100010001...​

Answer»

ong>Step-by-step EXPLANATION:

SINCE the DECIMAL expansion is non-terminating and non-recurring.

Hence, 1.101001000100001... is an irrational NUMBER

18.

Simplify:2x34x232x (22) solutions​

Answer» ONG>ANSWER:

I don't KNOW

Step-by-step EXPLANATION:

sorryyyyyy

19.

5) Find real root of given equation by using bisection method if f(x) = x^2 -logx-12 in (3,4) upto four iteration​

Answer» ONG>ANSWER:

bsbsbansvsbssnsbsjjsnjssj

20.

A ki power 4 x5a41 x2a5​

Answer» 46 is the CORECT ANSWER
21.

find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. (I) x²+2x+3 ​

Answer»

ong>Answer:

We have x2+2x +3

x2+3x+(-x+3)

x2+3x-x+3

x(x+3)-1(x+3)

(x-1)(x+3)

x=1andx=(-3)

So,the zeroes are 1 and -3

Relationships between the zeroes and the Coefficient

SUM of the zeroes =(-b÷a)

(a+b)

1+-3 =(-2÷1)

=-2 =-2

Product of Zeroes =Constant term÷Coefficientofx2

ab

1×-3 = -3÷1

=-3. =-3

Thus,the relationships between the zeroes and the coefficient of the polynomial x2+2x+3 is verified

Step-by-step explanation:

PLEASE mark it as a brainlest!

22.

In Find the values of a and b from the quadratic equation 2x2 - 5x + 7 = 0 ill) Find, if fixi = 252 and Efi = 420.iv) If for an A. P. d = 10. What is the value of to - ty?​

Answer»

ong>Answer:

Given 2X

2

−5x+7=0

The standard quadratic EQUATION is ax

2

+bx+c=0

by comparing we GET a=2,b=−5,c=−7

∴ a=2,b=−5

23.

A car covers 2/3rd of total distance with 1.5 times of its original speed and rest distance with its original speed. If the original speed of car is 70 kmph, then find the average speed of the car throughout the wholejourney.?​

Answer» ONG>ANSWER:

TOTAL distance=X

if FIRST 2/3rd with SPEED of 105=2x/315

next 1/3rd 70=X/210

24.

Find the sum of (i) (+7) + (−11) (ii) (−13) + (−10)​

Answer»

(i) + 7  + (- 11) \\  =  - 4 \\  \\ (ii) - 13 + ( - 10) \\  =  - 23

25.

Now group the terms 72.3 + (-39.1) = 70 + 2 + 0.3 + (-30) + (-9) + (-0.1) in the expression in part C using the Associative Property.

Answer» ONG>ANSWER:

72.3 + (-39.1) = 70 + 2 + 0.3 + (-30) + (-9) + (-0.1) \\  =  > 33.2 = 33.2 \\  \\ lhs = rhs

26.

10. With the help of the following numbers show that: H.C.F. L.C.M. = First number x Second number:(a) 16, 24(b) 30, 45​

Answer»

ong>ANSWER:

PLEASE

Step-by-step EXPLANATION:

please GIVE me braininlist

27.

The equation x3 - 12x +39x - 28 = 0 whose roots are in the b) G.P.c) H.Pd) Nonea) A.P​

Answer» ONG>Answer:

I am in 5

Step-by-step explanation:

CLASS SORRY I didn't KNOW

28.

Estimate each sums to the nearest ten 62 65​

Answer»

ong>Answer:

92 is answer

Step-by-step explanation:

only this TIME has 92 OK so answer is 92

29.

Sin theta / cot theta + cosec theta-sin theta/ cot theta - cosec theta​

Answer» ONG>Answer:

2

Step-by-step EXPLANATION:

30.

4. If the area of a rectangle is 30 sq.m and the length is 6m, then the breadth is ………….. (a) 6m (b) 5m (c) 8m (d) 4m​

Answer» ONG>Step-by-step EXPLANATION:

B) 5m

wish you will drop some thanks

and MARK it brainlist

31.

Find the volume of each of the cube whose length of edge is 19cm.​

Answer» ONG>ANSWER:

Step-by-step explanation:

19×19×19=6859

mark me BRAINLIEST

32.

If 5x - 16/7x - 18 = 2/3find x.(1) 16(2)20(3) 15 (4) 12​

Answer» ONG>Answer:

12

Step-by-step explanation:

5x-16/7x-18=2/3

3(5x-16)=2(7x-18)

15x-14x=48-36

x=12

33.

1. Circle the multiples of 12. 24, 97, 111, 144, 602. Write first 8 multiples of 9.3. Find the common multiples of 4 and 6.4. Find the least common multiple (LCM) of 5 and 7. give me some example ​

Answer»

>24,144,60

  • 9,18,27,36,45,54,63,72
  • 12,24,36,48,60,..
  • 34.

    खालीलपैकी कोणतेही दोन प्रश्न सोडवा.पुढील एकसामायिक समीकरण सोडवा : x-2y = -1; 2x - y = 7​

    Answer» ONG>Answer:

    PANTOPRAZOLE is used to treat certain STOMACH and ESOPHAGUS problems (such as acid reflux). It works by decreasing the amount of acid your stomach makes. This medication RELIEVES symptoms such as heartburn, difficulty swallowing, and persistent cough

    35.

    બિંદુ (0,-5) ક્યાં અક્ષ પર છે તે જણાવો?​

    Answer» ONG>Answer:

    I N S T A G R A M  મને અનુસરો = niral161

    Step-by-step EXPLANATION:

    → બિંદુ  (0,-5) y અક્ષ પર છે.

    → શ્રેષ્ઠ જવાબ તરીકે ચિહ્નિત કરો

    → આ વેબસાઇટ પર મને અનુસરો

    36.

    If quadratic equation x²+k(2x+k-1)+2=0 has real and equal roots then find value of k.​

    Answer»

    ong>Answer:

    k=2

    Step-by-step explanation:

    GIVEN, x2+k(2x+k−1)+2=0

    Simplify above equation:

    x2+2kx+(k2−k+2)=0

    Compare given equation with the general form of QUADRATIC equation, which ax2+bx+c=0

    here, a=1,b=2k,c=(k2−k+2)

    Find discriminant:

    D=b2−4ac

    =(2k)2−4×1×(k2−k+2)

    =4k2−4k2+4k−8

    =4k−8

    Since roots are REAL and EQUAL (given)

    Put D=0

    4k−8=0

    k=2

    37.

    The side of a square is 14cm.Find its perimeter​

    Answer»

    ong>Step-by-step explanation:

    PERIMETER of the square

    LENGTH of a side

    4×14cm = 56CM.

    38.

    3] Solve the following sub-questions )What is the value of determinant5 3-7 – 434​

    Answer»

    ong>Answer:

    Alfaaz well PA ala all la all well laal laal ya well ka all la all ha ah ke all ga all da all la all ye wo pe wo or qu ye wo or wo it wo or qu wo TA qu R qu we we ye qu owl pe all of all la all la also lag

    Step-by-step EXPLANATION:

    oye AI yep ya wo

    39.

    Attempt any fourQ.3 Find the number of permutations of letters in the words ‘BALBHARATI1​

    Answer» MBER of PERMUTATIONS of the letters of the WORD BALBHARATI = 2 ! 3 ! = 302400.
    40.

    The cost of 9 books is rs. 7245 find the cost of each bookswith step by step explaination​

    Answer» ONG>ANSWER:

    cost \: of \: 9 \: books = rs.7245 \\  \\ cost \: of \: 1 \: books =  \frac{7245}{9}  \\  = rs.805

    41.

    Problem Description - 2/15 A clock gains 4 minutes after every 4 minutes. You set the correct time at 6:00 AM everyday to deal with this isWhat will be the correct time when the clock shows 8:00 PM?Options1:00 PM2:00 PM4:00 PM5:00 PM​

    Answer» ONG>Answer:

    Storms and tempests – supernatural events- CASTING of spells- HANDSOME prince- re-

    examine – their relationship- The tempest- mysterious island – love & reconciliation-

    hatred and envy – turbulent passions- characters- like the storms – transformed-

    promise of peace- play ends

    42.

    If 5 − = 3 + 4 then to find the value of 2+22−2​

    Answer»

    ong>ANSWER:

    ans . is 2+2

    Step-by-step explanation:

    HOPE it helps you

    MARK me as a branilist

    43.

    A number x when divided by 7 leaves a remainder 4. If the expression (x^2 + 8x + 24) is divided by 7, then find the remainder.

    Answer»

    the answer is in the attachment

    hope it helps

    please mark it the brainliest if you find it useful

    have a good day

    44.

    27. If alpha , Beta and gama are zeroes of the polynomial 6x3 + 3x2 - 5x + 1, then find the value of a alpha -1, +beta -1 + gama -1 ​

    Answer» ONG>ANSWER:

    same ALPHA I THINK so I don't know that actually

    45.

    Sam purchased cloth worth 856.92, a calculator worth 268.56 and some dry fruits worth 306.75. How many did he spend in all?​

    Answer» ONG>ANSWER: SAM SPENT Rs.1432.23 in all

    46.

    If the pair of linear equation 3x-5y=11, (5a+b) x – (7a-b) y= 4(3a-2b) +1 has infinitely many solutions, find the values of aand b.

    Answer»

    ong>Answer:

    Refer the attachment.

    Use the condition for INFINITE solutions and first FIND value of a in terms of b.Then SUBSTITUTE it and find value of b.Further,use value of b to get a.

    You should use first equate the first PART(a1/a2) of the infinite solution condition to the middle part(b1/b2) and again equate the middle part to the third part(c1/c2).

    Pls mark as brainliest if you liked my answer.

    47.

    F(x)=x²-x then f(x-1) - f(x+1)=​

    Answer»

    >

    LET's simplify step-by-step.

    F(x-1)-f(x+1)

    Distribute:

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

    =fx+-+-fx+-f

    Combine Like TERMS:

    =fx+-+-fx+-f

    =(fx+-fx)+(-f+-f)

    =-2F

    48.

    The angles of a triangle are (3x)°, (2x)° and (4x)°, than find value of x.

    Answer» ONG>ANSWER:

    X= 20⁰

    wish you will DROP some thanks

    and mark it BRAINLIST

    49.

    Prove that: cot 0 - tan 0 -2 cos2 0-1/ sin 0 cos0​

    Answer» ONG>Answer:  hope it helps mate

    please MARK as BRAINLIEST

    50.

    Problem Description - 1/15 Bob bought a bicycle for Rs 15,000 last year and sold it to Joel at 10% loss Joel then sold the bude to Bira a 20 polandDetermine how much Lia paid for the bicycleOptionsRs. 17.820Rs. 17.500Rs. 18.620Rs 17680.​

    Answer» ONG>ANSWER:

    nowwwwwwwwwwwwwwwwwww