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.

Find the square of the following using the identity ( a+b)=a2+2ab+b2. (a)... 610

Answer»

The ANSWER is = 3,72,100

2.

Find two numbers whose sum is 24 and whose products is maximum.

Answer» 15 And 9 is the ANSWER.
3.

sum and product of two zeroes of x^4-4x^3-8x^2+36x-9 are 0 and -9 respectively.find the sum and product of its other two zeros

Answer» HOPE it HELPS....,......
4.

Rationalize the denominator of each of the following 3 upon 2 root 5

Answer»

3/2√5

By RATIONALIZATION,

(3×√5)/(2√5×√5)

(3√5)/(2×5)

(3√5)/10



I HOPE this will HELP you

-by ABHAY

5.

Two numbers differ by 3 and their product is 54. find the numbers.

Answer»

Hii friend,

LET the first NUMBER be X

The the other number = (X-3)

According to question,

PRODUCT of two numbers=54

Therefore,

(X-3) × X = 54

X²-3X = 54

X²-3X-54 = 0

X²-9X+6X -54 = 0

X(X-9) +6(X-9) = 0

(X-9) (X+6) = 0

X -9 = 0 OR X +6 = 0

X = 9 or X = -6

Therefore,

First Number = 9

And,

The second number = -6

HOPE IT WILL HELP YOU.... :-)

6.

Find the average of 4.2 , 3.8 and 7.6

Answer»

Answer:

Average=4.2+3.8+7.6 by 3

=1 by 3× (4.2+3.8+7.6)

=1 by3 ×(42 by 10×38 by 10×76 by 10)

=1by3×(42+38+76 by 10)

=1by3×(76+42+38 by 10)

Step-by-step explanation:

=1 by 3×156 by 10

=156 by 3 ×1 by 10

=52×1 by 10

=52 by 10

=5.2

Average=5.2

RUFF WORK

76

42

+38

_______

156

_______

3)156(52

15

_____

0 6

6

______

0

7.

a sum of rs 4558 is divided among arun santhosh and hari such that arun recives 20%more than hari and hari recives25% lessthan santhosh find Arun's share

Answer»

Jdbdkkndbenbdhjsendbe

8.

There are 312 mango bites, 260 eclairs, &156 coffee bites in a box. There are to be put in packets so that each packets contains same number of toffee. Find the maximum number of toffee in each packets

Answer»

Hey!!!!

________

Maximum number of toffee in each packet
=> HCF(312,260,156)

THUS by Prime Factorisation Method

=> 312 = 2³ x 3 x 13

=> 260 = 2² x 5 x 13

=> 156 = 2² x 3 x 13

Thus HCF = 2² x 13

=> HCF = 52

Thus 52 toffees can be packed in each packet.

The question was very chocolatey

__________

Hope this helps ✌️

9.

Add the product of (-13) and (-17) to the quotient of (-187) and 11

Answer»

Product = (-13) (-17) = 221

quotient = (-187)/11 =  -17

sum of TWO numbers = 221 + -17 = 221 - 17 = 204

this is the ANSWER

if u like my answer pls mark mine as BRAINLIEST

10.

Use euclids division algorithm to find if the following pair of numbers is co primes 121 and 573

Answer»

121<573

573=121*4+89
121=89*1+32
89=32*2+25
32=25*1+7
25=7*3+4
7=4*1+3
4=3*1+1
3=1*3+0

i.e. HCF = 1
And HENCE both number are COPRIME

11.

1.6lit of milk costs RS117 find the cost of 1lit

Answer»

Here is your ANSWER it MAY HELP you..

12.

Is 0.7 is a multiplicative inverse of 10/7

Answer» YES the MULTIPLICATIVE INVERSE of 10/7 is 7/10 that is 0.7..
13.

Find 2 rational number between -3 and -2

Answer»

Here is your ANSWER it MAY HELP you...

14.

Find the zeros of quadratic polynomial 3 x square - x minus 4

Answer»

3x²-x-4=3x²-4x+3x-4
=x(3x-4)+3(x-4)
=(x+3) (3x-4)
=x=4/3,-3

15.

Find HCF and LCM of 6,72,120give fast

Answer»

The answer is given below :

The given numbers are 6, 72 and 120.

By prime factorization method, we find

6 = 2 × 3

72 = 2 × 2 × 2 × 3 × 3

120 = 2 × 2 × 2 × 3 × 5

HCF = HIGHEST COMMON FACTOR,
i.e., the common FACTORS of all the THREE numbers

So, required HCF

= 2 × 3

= 6

LCM = LEAST COMMON MULTIPLE,
i.e., the number multipled by all the three numbers

So, required LCM

= 2 × 3 × 2 × 2 × 3 × 5

= 360

Thank you for your question.

16.

Who is known as big B

Answer» ONE is AMITABH bachan and ANOTHER one is HEMANT brijwasi
17.

Given that hcf (306,675)=9,find lcm of(306,657)

Answer»

Lcm=306x675/9=22950 HOPE it will helpu

18.

(x)2+5√5x+30 rs agarwal

Answer»
{x}^{2}  + 5 \sqrt{5x}  + 30 \\  {x}^{2}  +3 \sqrt{5x}  + 2 \sqrt{5x}  + 30 \\ x(x + 3 \sqrt{5} ) + 2 \sqrt{5} (x + 3 \sqrt{5} ) \\ (x + 2 \sqrt{5} )(x + 3 \sqrt{5} ) \\ x =  - 2 \sqrt{5 }  \\ x =  - 3 \sqrt{5}  \\ hope \: its \: help \: u...
19.

The parallel sides of a trapezium are 40cm and 16cm. It’s non-parallel sides are 13cm each.find the area of the trapezium

Answer»

Here is your ANSWER it MAY HELP you..

20.

the angle B of a triangle ABC is thrice the difference of the other two angles also the ratio of the angle A to the angle c is 5:7. find the angle

Answer»

A = 50°
B = 60°
C = 70°
The explanation is :-
A:C = 5:7
therefore, A = 5x, C = 7X
Now, B = 3(DIFFERENCE of A and C)
the difference of A and C is 7x - 5x
so, B = 3(7x - 5x)
B = 3 × 2x
B = 6x
A = 5x, B = 6x, C = 7x
According to ANGLE sum property, A+B+C=180°
5x+6x+7x=180°
18x=180°
x=10°
A=50°,B=60°,C=70°

21.

Find the square root of 4937284 by long division method

Answer»

So,√4937284=2222 (By LONG DIVISION METHOD)

22.

Find three rational numbers between 1/4 and 1/5

Answer» MARK it as BRAINLIEST
23.

(cosec theta + sin theta) (cosec theta - sin theta) = (cot^2theta + cos^2 theta)

Answer»

This can be WRITTEN as
(cosec²Q-Sin²Q).
USING a²-b²=(a+b)(a-b)
((1+cot²Q)-(1-cos²Q))
(1+cot²Q-1+cos²Q)
(cot²Q-cos²Q)
HOPE this HELPS..

24.

A distribution consists of three components with frequencies 300, 200 and 600 having their means 16,8 and 4 respectively. Find the mean of the combined distribution.

Answer» HII ...here your ANSWER

MEAN =300+200+600+16+8+4/6
=1128/6
=188(ANS.)
25.

1/2a+b+2x= 1/2a + 1/b+ 1/2x

Answer»

⇒ \frac{1}{2a + b + 2x} =  \frac{1}{2a} +  \frac{1}{b} +  \frac{1}{2x}


⇒ \frac{1}{2a + b + 2x} -  \frac{1}{2x} =  \frac{1}{2a} +  \frac{1}{b}


⇒ \frac{2x - 2a - b - 2x}{(2x)(2a+b +2x) }=  \frac{b + 2a}{2ab}


⇒ \frac{-1(2a+ b)}{(2x)(2a +b + 2x)}  = \frac{b+ 2a}{2ab}


⇒ \frac{-1}{(2x)(2a+b+2x)} =  \frac{1}{2ab}

                       Cross MULTIPLY 

⇒ -2ab = (2x)(2a + b+ 2x)

⇒ -2ab = 4ax + 2xb + 4x^2

⇒ 0= 4ax + 4x² + 2xb + 2ab

⇒ 0=  4x(a + X) + 2b(x + a)

⇒ 0= (x + a) (4x + 2b)

                             By Zero Product Rule

⇒ x + a = 0    OR   4x + 2b = 0

⇒ x= -a    OR     4x = -2b

⇒ x = -a   OR    x =  \frac{-2b}{4} =  \frac{-b}{2}



i HOPE this will help you




-by ABHAY

26.

With a uniform speed a car covers a distance in 8 hours.were the speed increased by 4 km/hr the same distance could be covered in 71/2 hours what is the distance covered

Answer»

Ans is 160 KM and I have ALREADY ATTACHED the SOLUTION.

27.

Take two digits, say 2 and 3. Make 4-digit numbers using both the digits equal number of times. 1.Which is the greatest number? 2.Which is the smallest number? 3. How many different numbers can you make in all?

Answer» 1 3322
2 2233
3 3322 2233 3232 2323
28.

a person X has four notes of rupee 1,2,5,10 denomination.the number of different sums of money she can form from them is?

Answer» 0
29.

Plzz answer me frnds. ....

Answer»

√216 = √(6×6×6) = 6√6
√96 = √(6×4×4) = 4√6
PUT UN GIVEN QUESTION
√6 - 6√6 + 4√6
= - √6

30.

A big kingfish weight 8 kg she sold it in Rs.960 . Find the cost of 1kg fish

Answer»

Hi friend here is the answer

cost of 1 KG fish is equal to 960/ 8
that is ₹120.

hope it helps you
if possible please MARK my answer as brainliest

31.

three Bells rings at an interval interval of 20 minutes 25 minutes and 30 minutes respectively if the Rings together at 11 a.m at what time they will ring together again

Answer»

To find the MINIMUM time,we have to find the LCM of 20,25,30
20=2*2*5
25=5*5
30=3*2*5
LCM =2*2*3*5*5
=300 minutes
=5 hours
therefore,at 4 p.m, they will MEET again

32.

Square root of 1000 by estimate to the nearest to one decimal place

Answer» HEY pratik !!!!

here is UR answer

square root of 1000 is nearly 31.62
so after round off it becomes 31.6

hope it would HELP you
33.

If Q(0,1) is equidistant from P(5,-3) and R(x,6),find the values of x.Also find the distances QR and PR.

Answer»

QP = QR

QP^2 = QR^2

=> (5 - 0)^2 + (-3 - 1)^2 = (X - 0)^2 + (6 - 1)^2

=> 25 + 16 = x^2 + 25

=> x^2 = 16

=> x = ± 4

Hence R is (4 , 6) or (- 4 , 6)

Now  

QR (0 , 1)(4 , 6)

QR = \bf\huge\sqrt{(4 - 0)^2 + (6 - 1)^2}

QR = \bf\huge\sqrt{(16 + 25)}

QR = \bf\huge\sqrt{41}

Also

QR (0 , 1) (-4 , 6)

QR = \bf\huge\sqrt{(- 4 - 0)^2 + (6 - 1)^2}

QR = \bf\huge\sqrt{16 + 25}

QR = \bf\huge\sqrt{41}

Now

PR (5 , -3)(4 , 6)

PR = \bf\huge\sqrt{(4 - 5)^2 + (6 + 3)^2}

PR = \bf\huge\sqrt{1 + 81}

PR = \bf\huge\sqrt{82}

Also

PR (5 , -3)(-4 , 6)

PR = \bf\huge\sqrt{(-4 - 5)^2 + (6 + 3)^2}

PR = \bf\huge\sqrt{81 + 81}

PR = \bf\huge 9 \sqrt{2}

34.

How many triangle are there in this figure

Answer»

There are 34 TRIANGLES here...

35.

If the HCF of 45 and 210 is expressible in the form 210x +45*5 find x

Answer» HOPE this HELPS you....
36.

If a=4/3-root5 find the value of a+4/a

Answer»
HOPE it's HELP you ......
37.

What is to be added to 2^36 to get 2^37?

Answer» LET the NUMBER to be ADDED be x.
according to QUESTION,
=>x+2^36=2^37.
=>x=2^37-2^36
=2^36
38.

Rationalise the denominator and simplify under root 7 + under root 2 by 9 + 2 under root 14

Answer» HELLO MATE!

\frac{ \sqrt{7} +  \sqrt{2}  }{9 + 2 \sqrt{14} }  \\  \\ rationalize \\  \\  \frac{ \sqrt{7} +  \sqrt{2}  }{9 + 2 \sqrt{14} }  \times  \frac{9 - 2 \sqrt{14} }{9 - 2 \sqrt{14} }  \\  \frac{9 \sqrt{7} - 2 \sqrt{98}  + 9 \sqrt{2}  - 2 \sqrt{28}  }{81 - 56}  \\  \sqrt{98 }  =  \sqrt{2  \times 7 \times 7}  = 7 \sqrt{2}  \\  \sqrt{28}  =  \sqrt{2 \times 2 \times 7}  = 2 \sqrt{7}  \\  \frac{9 \sqrt{7}  - 14 \sqrt{2} + 9 \sqrt{2}   - 4 \sqrt{7} }{25}  \\  \frac{5 \sqrt{7}  - 5 \sqrt{2} }{25}  =  \frac{5 \sqrt{7} }{25}  -  \frac{5 \sqrt{2} }{25}  \\  \frac{ \sqrt{7} -  \sqrt{2}  }{5}

HOPE it helps☺!
39.

Lim e^-x-e^x÷x-1. approach to 0

Answer» HOPE it can HELP you
40.

9/8 ÷ (.....) = -3/2

Answer»

9/8 × y = -3/2
y × 3/4 =-1
y=-4/3

41.

If 3/11 of a number is 22 what is 6/11 of that number

Answer»

3/11 of a NUMBER = 22
6/11 of the number = 2 * 3/11 of the number = 2*22 = 44
Hope it HELPS.

42.

(9x)2+18x+8 class 9 CBSE

Answer»

Well,

9 {x}^{2} + 18x + 8 = 0

SINCE factors of 72 that gives 18 on addition are 12 and 6.

So,

9 {x}^{2} + 12x + 6x + 8 = 0

3x(3x + 4) + 2(3x + 4) = 0

(3x + 2) \: (3x + 4)

x =  \frac{ - 4}{3} \: and \: \frac{ - 2}{3}

HOPE it helps

Yours Truly

Yumieo

43.

6 divided by 2 root 3 is a rational or irrational numbers

Answer»

The answer is given below :

We need to find if 6/(2√3) is a rational NUMBER or an irrational number.

Now,

6/(2√3)

= (3 × 2)/(2 × √3)

= 3/√3

= (√3 × √3)/√3

= √3

and since √3 is an irrational number,
6/(2√3) is also an irrational number.

IRRATIONAL NUMBER :

The number which cannot be expressed into the form p/Q, where p and q are INTEGERS with q ≠ 0, is CALLED an irrational number.

Example :

√2, √3, √5, and so on.

Thank you for your question.

44.

Decide the numbers to which number sets they belong to and does not belong to and express with correct symbols 1

Answer»

1+2
=3÷3
=1
5+1-5
=1
1
2÷7+
34


45.

A cylinder with base radius 8 cm and height 2cm is melted to form a cone of height 6 cm. The radius of the cone will be

Answer» VOLUME of cylinder = Volume of cone 
πR²H = 1/3πr²h       R = RADIUS of cylinder ; H = HIEGHT of cylinder ;
                                r = radius of cone ; h = hieght of cone
⇒R²H = 1/3 × r² × h
  8² × 2 = 1/3 × r² × 6
  64 × 2 = r² × 2
  64 = r²
⇒ r = √64 = 8cm
∴Radius of cone = 8 cm

                                          I HOPES IT HELPS YOU
                                          IF IT IS HELPFUL PLEASE MARK IT AS                                                                                                     BRAINLIEST 
  

46.

Simplify:-. 3a-2b-ab-(a-b+ab)+3ab+b-a

Answer»

According to given SUM,

=> 3a-2b-ab-(a-b+ab)+3ab+b-a

=> 3a-2b-ab-a+b-ab+3ab+b-a

=> 3a-2a+3ab-2ab

=> a+ab .

:-)HOPE it helps U.

47.

Mangoes are sold at ₹ 87/2 per kg . what is the weight of mangoes available for ₹1305/4?

Answer» 1 KG                          87.2

?                               1305.4

=  1305.4/87.2  = 14 kg 940 GRAMS
48.

For what value of x will 2x+1/3x-2 and 3x-4/x+8 represent the same fraction also find the fraction

Answer»

Hi ,

It is given that ,

( 2x + 1 )/( 3x - 2 ) = ( 3x - 4 )/( x + 8 )

( 2x + 1 )( x + 8 ) = ( 3x - 4 )( 3x - 2 )

2x² + 16X + x + 8 = 9x² - 6x - 12x + 8

2x² + 17x + 8 = 9x² - 18x + 8

0 = 9x² - 18x + 8 - 2x² - 17x - 8

0 = 7x² - 35x

7x² - 35x = 0

7x( x - 5 ) = 0

Therefore ,

7x = 0 or x - 5 = 0

x = 0 or x = 5

I hope this helps you.

: )

49.

Square root of 82.6 correct to two places of decimal

Answer» HI ,

9 ) 82.600000(9.088
****81
___________
180) 160
******000
___________
1808) 16000
********14464
____________
18168)153600
********145344
____________
**********8256

Therefore,

√ 82.6 ≈ 9.088

≈ 9.09

I HOPE this HELPS you.

: )
50.

How many tens in 6000

Answer» 6000 CONTAINS 600 tens..
HOPE i m RIGHT :-)