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 identity (x-y)³​

Answer»

ANSWER:

(x-y)^3  

=>  (x-y)(x-y)(x-y)  

=>  (x^2 + y^2 -2XY)(x-y)  

=>  x^3 - x^2y + xy^2 - y^3 - 2x^2y + 2xy^2  

=>  x^3 - y^3 -3x^2y + 3xy^2

Step-by-step EXPLANATION:

2.

A Cuboid has a length of 17.6 cm and breadth of 12.8 cm. If its volume is 2365 .44 cm cube, find the height.Answer = 10.5 cm​

Answer»

HELLO mate

I hope it helps u

pls MARK as brainlist.

3.

Rachna has two packet of rice waiting 23 by 8 and 13 by 4 kilogram respectively she gave 9 by 4 of rice to have then what is total weight left with Rachna​

Answer»

ANSWER:

answer for this QUESTION is : 3 is to 7 UPON 8 KG

4.

Plz solve this question fast and urgently ​

Answer»

Answer:

aata NAHI yaar

koi doosra QUESTION pooch le

Step-by-step EXPLANATION:

5.

Simplify (10)^4/(1000)^2​

Answer»

Answer:

0.2

Step-by-step explanation:

10^4=40

1000^2=2000

40/2000=1/50

1/50= 0.4/2

0.4/2=0.2

6.

a number when divided by 5 leaves 3 as a reminder if the square of the same number is divided by 5 the remainder obtained by is​

Answer»

Answer:

13*13=169 0kay kcigho

7.

What is the probability of getting a sum of 6 in a single toss of a pair of fair dice

Answer»

ANSWER: 5/36

Step-by-step explanation:

TOTAL number of possibilities = 36

Number of favourable possibilities = 5 [(1,5),(2,4),(3,3),(4,2),(5,1)]

Probability of the Event = Number of Favourable possibilities / Total number of possibilities

Probability of GETTING a sum of 6 on ROLLING two fair dice = 5/36

Hope it helped all..:-)

8.

Rachna Kaise two packets of right waiting 23 by 8 and 13 by 14 kilogram is perfectly she gave 9 by 4 of right to her friend what is total weight left with retina​

Answer»

.emckrkdalzk don'tknow SORRY BABES

9.

ABCD is a parallelogram with angle A equal to 80°. The internal bisectors of Angle B and angle C meet at O. Find measures of the three angles of triangle BCO.

Answer»

Answer:

∠OBC = 50°

∠OCB = 40

∠BCO = 90°

Step-by-step EXPLANATION:

Given.

In ║gms ABC,

∠A = 80°

To Find.

∠OBC

∠OCB

∠BCO

Solution.

In Parallelogram ABCD,

∠A = ∠C [OPPOSITE angles of a ║gm are EQUAL]

∠B = ∠D [Opposite angles of a ║gm are equal]

∴ ∠A = ∠C = 80°

∠A + ∠D = 180° [Co-interior angles]

80° + ∠D = 180°

∠D = 180° - 80°

∠D = 100°

But ∠B = ∠D

∴ ∠B = 100°

∠C = 80°

Halving on both sides we get,

\sf\frac{C}{2} = \sf\frac{80}{2}

∴ ∠OCB = 40° [OC is the ANGLE bisector of ∠C]

∠B = 100°

Halving on both sides we get,

\sf\frac{B}{2} = \sf\frac{100}{2}

∴ ∠OBC  = 50° [OB is the angle bisector of ∠B]

In ΔBOC

∠OBC + ∠OCB + ∠BOC = 180°

50° + 40° + ∠BOC = 180°

90° + ∠BOC = 180°

∠BOC = 180° - 90°

∴ ∠BOC = 90°

Final answers

∠OCB = 40°

∠OBC  = 50°

∠BOC = 90°

10.

A. 6cm62. The sides of a triangle are 3 cm, 5 cm and 6 cm. What is its area?a. 2V3cmb. 4V14cmc. 5V12cmd. 2V5cm?​

Answer»

Answer:

the formula for the area of a triangle is √s(s-a)(s-b)(s-c)

here s =(3+5+6)÷2=7

√7(4)(2)(1)=2√14

there is no RIGHT option...

11.

Simplify -2/9 * 11/8​

Answer»

ANSWER:

GIVEN -2/9×11/8

=-11/36

12.

Is a the follouting points lie on you?AUDI BUO) 22 (0,1) 000)LE10), 6(0,5), H(-7,0), 13.3​

Answer»

jejeis9iw0w0wododj wnwb2bwnkw

13.

Simplify:789 x 789 x 789 +211 x 211 x 211--------------------------------------------------------789 x 789 - 789 x 211 + 211 x 211Please don't remove the cube root and solve.... Take them as '... solve according to formulae and explain...​

Answer»

Step-by-step EXPLANATION:

a³+b³/a²- AB+ b² =

a³+b³= (a+b)(a²-ab+ b²)

sol 789³+211³/ 789² - 789×211- 211²

by the PROPERTY STATE above ...

(789+211)( 789²-789×211-211²)/

(789²-789×211-211²)

it will CANCEL then we have only

789+211= 10000

14.

If 1 and -1 are the zeroes of the plolynomial Lx4 + Mx cube +Nx square + Rx + P=0 show that L+N+P=M+R=0

Answer»

Step-by-step EXPLANATION:

if 1 is the zero of this POLYNOMIAL then

put 1 in place of x

L1^4+M1^3+N1^2+R1+P=0

L^4+M^3+N^2+R+P=0-----1eq.

If -1 is a zero of this polynomial then

put -1 in place of x

L(-1)^4+M(-1)^3+N(-1)^2+R(-1)+P=0

L^4-M^3+N^2-R+P=0--------2eq.

By combining both equations you get

L+N+P=M+R=0

15.

Give me class 7 math chapter 1 exercise 1.4 question no. 6Fast

Answer»

Answer:

Step-by-step explanation:

(i) Marks given for one correct answer = 3

Marks given for 12 correct answers = 3 x 12 = 36

Radhika SCORED 20 marks.

Therefore, Marks obtained for incorrect answers = 20 – 36 = –16

Now, marks given for one incorrect answer = –2

Therefore, number of incorrect answers = (–16)÷(–2)=8

Thus, Radhika has attempted 8 incorrect questions.

(ii) Marks given for SEVEN correct answers = 3 x 7 = 21

Mohini scores = –5

Marks obtained for incorrect answers = = –5 – 21 = –26

Now, marks given for one incorrect answer = –2

Therefore, number of incorrect answers = (–26)÷(–2)=13

Thus, Mohini has attempted 13 incorrect questions.

16.

Factorise the following 8xxyyy-xxxxx

Answer»

Step-by-step explanation:

8xxyyy - xxxxx

8x²y³ - x5

x² (8 y³ - X ³ )

17.

By selling an book for rs 144, a shopkeeper lose 1/7 of his outlay. By selling it for rs 168, his gain or loss percentage is?

Answer»

ANSWER:

no loss or no gain because his OUTLAY BECOME 168 RUPEES

18.

If 3x + Y is equal to 5 then find 6 X + 2 y​

Answer»

Answer:

6x + 2Y = 10

Step-by-step explanation:

GIVEN, 3X + y = 5

On multiplying 2 both sides

       2×(3x + y) = 2×5

     2×3x + 2×y = 10

           6x + 2y = 10

19.

Bunty sold three cars for rs 513570 each .He made a profit of 6%, 2% and loss of 5% on each find the total profit or loss %

Answer»

ANSWER:

₹15407.1

Step-by-step EXPLANATION:

Total profit % = 8%

Total loss%=5%

Profit%=8%-5%=3%

So the profit percentage is 3%

513570×3/100= 15407.10 rupees

Hope it HELPS you

20.

A wire is bent in the form of rectangle of length 16cm and breadth 6cm. If it is bent to form circle

Answer»

ANSWER:

it will REMAIN same in SIZE because WIRE is same not CHANGE

21.

Relation between perimeter and sides of similar triangles

Answer»

Answer:

when two TRIANGLES are similar the reduced ratio of any two corresponding SIDES is called the scale factor of similar Triangle.

22.

Find the sum of the first 14 terms for a sequence starting with 2, ending with 120 and common difference 2.a.845b.854c.800d.860

Answer»

Answer:

854

Step-by-step EXPLANATION:

USE Sn=n/2(a+l)

Where n=14, l=120,and a=2

14/2(2+120)

=7(122)

=854

23.

Find the rate at which a sum of money will double itself in 2 year if the interest is compounded annually

Answer»

ANSWER:

the INTEREST is COMPOUNDED ANNUALLY APPROX 41.4%

24.

Find the largest number that divide 445 ,572 and 699 leaving remainders 4,5 and 6 respectively

Answer»

\huge \boxed{ \underline{ \underline{ \bf{Answer}}}}

Given that :- On dividing 445 by the required number, than there is a remainder of 4.

This means that 445 - 4 = 441, is EXACTLY DIVISIBLE by the required number.

Similarly like this only :-

572 - 5 = 567

699 - 6 = 693

REQUIRED NUMBER ⇒ LARGEST NUMBER.

H.C.F of 441,567, and 693. are :-

441 = 3 x 3 x 7 x 7  

572 = 3 x 3 x 3 x 3 x 7  

693 = 3 x 3 x 7 x 11  

Common Factors are 3 x 3 x 7 = 63

∴ H.C.F = 63.

Hence, 63 is the largest number that DIVIDE 445 ,572 and 699 leaving remainders 4,5 and 6 respectively.

25.

If roots of a(x-a)^2+b(x-b)+c(x-c)=0 be equal then

Answer»

ANSWER:

I don't KNOW this answer

26.

Greatest four digit number which is a perfect square

Answer»

Answer:

9801

Step-by-step EXPLANATION:

If you will find the square root of 9999 you will find the remainder 198. Then SUBTRACT 9999 from the remainder i.e, 198 you will get 9801. You can check the answer

27.

If a^3+b^3=152 and ab=15 then what is value of a^2+b^2

Answer»

ANSWER:

a² + b² = 34

Step-by-step explanation:

a³+b³= 152 and  ab = 15

We know that,  (a+b)³= a³ + b³ + 3ab(a+b)

                          (a+b)³= 152 + 3×15(a+b)

Let (a+b) = X

So, x³= 152 + 45x

     x³ -  45x = 152

     x × (x²- 45) = 8 × 19

     Let x = 8 and   x²- 45 = 19

                     So,   8²- 45 = 19

                            64 - 45 = 19

                                    19 = 19   (Approved)

So, a+b = x = 8

On squaring both sides

(a+b)² = 8²

a² + b² + 2ab = 64 ............(1)

Put ab = 15 in eq. (1)

a² + b² + 2×15 = 64

a² + b² + 30 = 64

a² + b² = 64 - 30

a² + b² = 34

28.

If 150 candle is 60 rupees what is the value of 1 candle

Answer»

ANSWER:the COST of 1 CANDLE is 1.5 rupees

Step-by-step EXPLANATION:

29.

Divide 2xsquare +3x+ 1 by x+2​

Answer»

your REQUIRED ANSWER can be FOUND in the PHOTO

30.

Plz answer this question with steps​

Answer»

I HOPE it will HELP you

31.

Answer 4th question​

Answer»

ANSWER:

it is just SIMPLE do it your self

Step-by-step EXPLANATION:

1+2=12

2+3=233+4=34445

32.

the polynomial ax^3+t^2-3 and 2x^3-5x+a when divided by (x-4) leave remainder R1and R2 respectively find the value of a if 2R1-R2=0​

Answer»

here is your ANSWER ..........

33.

Is 12/420 a terminating or non-terminating recurring decimal

Answer»

The VALUE of 12/420is0.02857142957........

So, It is non-terminating REPEATING

34.

find the greatest number of six digits which is a perfect square.Find the square root of this number.​

Answer»

Answer:

hey!

your answer is 998001 N the SQUARE ROOT is 999

35.

when you multiply a number by 6 subtract 5 from the product , you get 7 can you tell what the number is?​

Answer»

ANSWER:

Hello here's UR answer

The answer is 2

36.

Answer this question I I’ll make you brainliest

Answer»

ANSWER:

LOOK at attachement

Step-by-step EXPLANATION:

37.

If the area of rectangle is 63 by 8 metre and its length is 14by3metre find its breadth​

Answer»

I HOPE it will HELP U

38.

A,B,C,D are four points on a line. Distance between A and C is 20m and distance between B and D is 20m. If the distance between B and C is 8m. Find the distance between A and D.​

Answer»

ANSWER:

I THINK 48 is the Answer

39.

Find the Value with suitable arrangement 8x125x40x25​

Answer»

Answer:

10,00,000

Step-by-step EXPLANATION:

(8×25)(125×40) =200×5000= 10,00,000

40.

CossquareA+sinsquareA=1 then cossquareA+ cosfour=?​

Answer»

cossquareA+cosfourA=1

because 1square is 1only

41.

Express the following decimals and rational numbers question 1.25​

Answer»

Answer:

5/1 is the answer.

Step-by-step explanation:

125/100 is the RATIONAL NUMBER for that 1.25

Plz MARK it as BRAINLIEST!!

42.

Answer this 43 question - ​

Answer»

Answer:

The remainder after 16 will be 0 and after that all the NUMBER DIVIDED by 666.... up to 64 will be 0. Such

if it is divided by 32 the remainder will be zero and so on

43.

find the coordinates of the points lying on the y--axis,P(0 , y),when the distance between points P and A (5,4) is 13

Answer»

Step-by-step EXPLANATION:

distance \: formula \\  \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2}  }

pa =  \sqrt{(5 - 0) {}^{2} + (4 - y) {}^{2}  } = 13  \\  =  >  \sqrt{25 + 16 + y {}^{2}  - 8y}  = 13 \\  =  >  \sqrt{41 + y {}^{2}  - 8y}  = 13 \\  =  > 41 + y {}^{2}  - 8y = 13 { }^{2}

=  > y {}^{2}  - 8y + 41 - 169 = 0 \\  =  > y {}^{2}  - 8y - 128 = 0 \\

.......y = 16(or)y = 8 \\ the  \: points  \: lying  \: on  \: the  \: y-axis  \: is \: y = 8y  \: (or)= 16

44.

Who is Root 66tell me​

Answer»

The ROOT of 66 is 8.1240384

45.

LCM of 435 725 and 580​

Answer»

KAR98, AWM, M416, dp28

46.

If polynomial x4-6x3+16x2-25x+10 is divided by another polynomial x2-2x+k, the remainder comes out to be x+a, find k and a

Answer»

ANS of this QUES is k=5 and a=-5

47.

if tan theata =alpha then tan inverse alpha= theta, cot phy =beta then cot inverse beta =phy then what is the value of tan invers gama and cot inverse hama​

Answer»

ANSWER:

bahi iski pic DE de TABHI ho paya ESE nahi

48.

《♤◇HERE IS THE QUESTION ⤴️⤴️⤴️♥️♥️TOPPERS ❤❤♧♧》PLSSS HELP ME !!!!♥️•♥️⭐⭐NOTE:- ⚪⚫NO IRRELEVANT/WRONG ANSWERS!! DON'T ANSWER IF U R NOT SURE!!!✌✌PLSSS MAADAT KARDO NAA!!:) :) ​

Answer»

Answer:

LCM = 9,696 and HCF = 4.

Step-by-step explanation:

We have,

The NUMBERS :- 404 and 96 .

Now,

\because HCF( 404 , 96 ) .

→ 404 :- 2 × 2 × 101 .

→ 96 :- 2 × 2 × 2 × 2 × 2 × 3 .

COMMON [ 404 and 96 ] = 2 × 2 .

\therefore HCF [ 404 , 96 ] = 4 .

Now,

\because LCM( 404 , 96 ) .

→ 404 :- 2 × 2 × 101 .

→ 96 :- 2 × 2 × 2 × 2 × 2 × 3 .

\therefore LCM [ 404 , 96 ]

= 101 × 2 × 2 × 2 × 2 × 2 × 3 .

= 9,696 .

VERIFICATION :-

We know that :-

HCF × LCM = Product of TWO number.

→ 4 × 9,696 = 404 × 96 .

\therefore 38,784 = 38,784 .✔✔

Hence, it is solved.

49.

in what time will Rupees 1500 amount to rupees 1747.50 when invested at a simple interest of 3% per annum​

Answer»

Step-by-step EXPLANATION:

We know that SI = P×R×T by 100 but we don't know SI and T (time). A= SI - P. A=1747.5, SI=?, P=1500. 1747.5 =? - 1500. 1747.5+1500 =?. 3247.5=?(SI). 3247.5 = 1500×3×T÷100. 4500×T ÷ 100. 45×T because when u will divide 4500 by 100 u will get 45. 3247.5=45×T. 3247.5÷45=T. because 45/is multiplied with T and by CHANGING its side it will divide 3247.5. T= 72.166667 months. Divide it by 12. 72.166667/12=almost 6 years

50.

If 9 x minus 9 b is equal to 9 b find X in term of B.​

Answer»

9x-9B = 9b

(X- B)9 = 9b

X-b = b

X=2b