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.

12th calls math formula

Answer» HOPE this HELPS you...
2.

Numerator of a fraction is 5 more than its denominator. If 4 is added to numerator and denominator, the fraction obtained is 6/5. Find the fraction.

Answer» LET denominator = x
So, Numerator = ( x + 5 )


\mathbf{ \textcolor{red}{ \large{fraction \:  =  \frac{x + 5}{x} }}}




ACCORDING to the question, if 4 is added to numerator and denominator, fraction BECOMES 6/5




\mathbf{ \frac{x + 5 + 4}{x + 4}  =  \frac{6}{5} } \\  \\   \\  \rightarrow5(x + 9) = 6(x + 4) \\  \\   \rightarrow5x + 45 = 6x + 24 \\  \\  \rightarrow  \: x \:  = 21


Hence,


\mathbf{fraction =  \frac{x + 5}{x}  =  \frac{21 + 5}{21}  =  \frac{26}{21} }
3.

Joseph’s weight is two times the weight of his younger brother. Find Joseph’s weight if sum of their weights is 63 kg

Answer» LET weight of Joseph's younger BROTHER = x Kg
Joseph's weight = 2x kg
A/C to QUESTION,
Joseph's weight + weight of Joseph's younger brother = 63 Kg
=> 2x + x = 63 Kg
=> 3x = 63
=> x = 21 Kg
HENCE, weight of Joseph's younger brother = 21kg
and Joseph's weight = 2 × 21 = 42 Kg

\text{\bf{hence, Joseph's weight = 42 Kg}}
4.

The volume of a cone is 462 m³. Its base radius is 7 m. Find its height.

Answer» HI,

ANSWER: height of cone 9 m.

Solution:

We KNOW that Volume of a cone is expressed as V =\frac{1}{3} \times b \times h \\
here b is base area. As base of a cone is circle,so area of base = \pi {r}^{2}

Now,the combine formula is given as V cone
= \frac{1}{3} \pi {r}^{2} h
A.T.Q.
V cone = 462 m³
Radius = 7 m

h = \frac{3 \times volume}{\pi {r}^{2} } \\ \\ h = \frac{3 \times 462}{3.14 \times 49} \\ \\ \\h = \frac{1386}{153.9} \\ h = 9.0058 \: m \\ \\ or\\ h = 9 \: m
hope it helps you.
5.

5/3 of a dayplease answer I am confused

Answer» 40 hours
pls MARK BRAINLIEST
6.

Is 0.10938 greater or less than 0.11015

Answer»

Less
pls MARK BRAINLIEST

7.

The mean of the following distribution is– X : 145 155 165 175 F : 10 12 15 10(A) 159.7 (B) 160.3 (C) 162.1 (D) 165.9

Answer»

Your ANSWER is 162.1

8.

The works manager gets commission of 10% on the profits after charging such commission. If the profit is Rs. 2200 what is the amount of commission–(A) Rs. 220 (B) Rs. 200 (C) Rs. 240 (D) Rs. 244.44

Answer»

I HOPE ANSWER .........220

9.

Opening stock Rs. 15000, Purchases Rs. 40000, Cost of golds sold Rs. 52000,Sales Rs. 57000, What is the amount of gross profit or loss–(A) Rs. 12000 (B) Rs. 5000 (C) Rs. 5000 (Loss) (D) Rs. 7000

Answer»

B.5000
HOPE IT HELP YOU

10.

Differential equation of general solution y=ae^(2x)+be^(3x)

Answer»

∫dxy=∫dxae^(2X)+ ∫dxbe^(3X)

∫dxy=a∫dxe^(2x)+b∫dxe^(3x)

= ae^2x+be^3xAns


11.

Which is the Closest approximation to the product 0.3333 x 0.25 x 0.499 x 0.125 x 24 ?

Answer»

the CLOSEST APPROXIMATION is0.12473753

12.

Ram is 30 years younger than his uncle today. Five years ago, Ram was ¼ as old as his uncle. How old will Ram's uncle be 5 years from today?

Answer» AGE of RAM's uncle after 5yrs from TODAY will be 45 YEARS
13.

A bag contains cards which are numbered from 2 to92 .card is drawn at random from the bag. Find the probability that bears a two digit neumber

Answer»

Total NUMBER of cards=92-2+1=91
number of SINGLE digit NUMBERS =8
so total number of two digit numbers = 91-8= 83
probability = 83/91

14.

A car cover 15 km using 1 litre petrol. find the quantity of petrol required to cover 100 km.

Answer»

15 km = 1 LITRE petrol
100 km = 1/15*100
=6.67 litre
quantity of petrol = 6.67 litre

15.

What should be added to (1/2+1/3+1/5) to get 3 ?

Answer» ANS is -59/30 should be added to get 3.. i HOPE it help you.. MARK me BRAINLIST..
16.

a bell rings at every 6 seconds. a second bell rings at every 8 seconds. a third bell rings at every 10 seconds. if all the three bells ring at the same time at 9o clock in the morning, at what time will they all ring together again

Answer»

Answer:

At 9:00:02 AM will they all ring together again.

Step-by-step EXPLANATION:

Given : A bell rings at every 6 seconds. a second bell rings at every 8 seconds. a third bell rings at every 10 seconds. If all the three BELLS ring at the same time at 9'o clock in the morning.

To find : At what time will they all ring together again?

Solution :

First we find the LCM of bell rings i.e. 6,8,10

6=<klux>2</klux>\times 3

8=2\times 2\times 2

10=2\times 5

LCM(6,8,10)=2

Which means after 2 seconds bell rings.

i.e. At 9:00:02 AM will they all ring together again.

17.

Simplify sin12degreesin48degreesin54degree is anybody knows the answer

Answer»

I THINK the ANSWER is 0.1244

18.

100 rs 100 Animals 1 rs horse

Answer»

I didn't GET the QUESTION

19.

Can somebody help with this sums

Answer» YEAH SURE!
1. -2/3 ,0,4,1,2
2. 21/100,22/100,23/100
pls MARK BRAINLIEST
20.

Garden a produces 42 times as many vegetable as Garden B if together the garden produces 104 kg of vegetables then Garden A produces?

Answer» LET Garden B produces X KG, then
Garden A produces 42*x kg

The TOTAL production is given to be 104 kg

So, A+B = 104

42*x + x = 104
43X = 104
x= 104/43

and so Garden A produces 42*104/43 = 101.58 kg kg (in decimals)
21.

Dimag Ho Toh Answer DoAgar Answer Diya toh Aap Whatsapp ka Raja Ya Rani kehlayenge.Question: Tn = "Movie" ka Naam ???2day time⏰

Answer»

this is not WHATSAPP for your KIND INFORMATION..

22.

If 8% of Y equal to 56 then Y equal to

Answer» 8% of Y = 56



\frac{8}{100}  \times y = 56 \\  \\  => y =  \frac{56 \times 100}{8}  \\  \\  \\  => y = 7 \times 100 \\  \\  \\  \\   = > y = 700
23.

find the area if a parallelogram ABCD whose adjacent sides ABCD and BC are respectively if lengths 17 cm and 12 cm and the diagonal ACB of length 25 cm. ALSO FIND the Leighton the perpendicular drawn from D on side AB.

Answer»

HOPE THIS HELPS YOU.

PLS MARK AS BRAINLIEST, AND PLS GIVE A THANK YOU..

24.

What is conductance ?please explain

Answer»

Conductance(c) is reciprocal of resistance
resistance=1/conductance
v=ir
v/i=r
v/i=1/c
vc=i

pls MARK BRAINLIEST

25.

What is the amount of gross profit or loss when–Cost of Goods sold = 7900,Sales = 11000,Purchases = 3000(A) Rs. 8000 (B) Rs. 4900 (C) Rs. 3100 (D) Rs. 100 (loss)

Answer»

Cost of GOODS sold = RS. 7,900. Sales = Rs. 11,000. Purchases = Rs. 3,000 a) Rs. 8,000 B) Rs. 4,900 C) Rs. 3,100 d) Rs. 100 (Loss).

26.

the age of A and B are in the ratio 5 ratio 3 after 6 year there it will be rain ratio 7 ratio 5 the present age of a is

Answer» LET AGE of A=5x YRS
age of B=3x yrs
(5x+6)/(3x+6)=7/5
5(5x+6)=7(3x+6)
25x+30=21x+42
4x=12
x=3
present age of A=5*3=15 yrs
27.

125 x cube -27y cube + 8 +90 xy

Answer»
125x ^{3}  - 27y ^{3 }  + 90xy + 8
28.

What are the possible value of remainder r when a positive integer a is divided by 5

Answer»

When a positive INTEGER a is DIVIDED by 5,
the POSSIBLE VALUE of remainder=0,1,2,3,4

29.

Find the mean weight of 70 students from the following data: Weight 50 52 54 56 58 60 62 64 No.of students 8 10 15 20 8 6 2 1

Answer»

50×8+52×10+54×15+56×20+58×8+60×6+62×2+64×1=3862/70=55.17
this is UR ANSWER

30.

What is a mean or arithmetic mean? What is the formula for mean? Explain each term of the formula.

Answer»

This TERM means taking avg if the VALUES.......take some of all the values N divide by total no of values....



hope it helps you!!!

31.

(6x⁴ + 3x² - 9 + 5x + 5x³) ÷ (x² - 1). What is the quotient and remainder?

Answer»

I HOPE this will HELP you out

32.

Find dy/dx at x=16..............

Answer» ANS. -1/16
Am I RIGHT?
33.

Factorisep^2+q^2+qr^2+2pq+6qr+6pr

Answer»

Is the THIRD TERM CORRECT?

34.

Eliminate theta between tan theta-cot theta

Answer»

Tan THETA is EQUAL to the ratio of height to the base of a TRIANGLE
cot theta is equal to the ratio of base to the height in a triangle

35.

How can we calculate mean

Answer»

The mean is the average of the numbers. It is easy to CALCULATE: ADD up all the numbers, then divide by how MANY numbers there are. In other words it is the SUM DIVIDED by the count.

36.

HCF and LCM of 17 102 170

Answer» HCF of 17 102 and 170 is 17.
LCM = 510
37.

Is (x-1)^2 =x^2-2 is a linear equation if yes then show how

Answer» YES, (x-1)^2=x^2-2
x^2-2x+1=x^2-2
x^2-x^2+2x-1-2
2x-3
38.

Ashokrao planted bananas on 2 upon 7 of his field of 21 acres .What is the area of the banana plantation

Answer» \frac{2}{7} \times 21
2 \times 3
= 6
ASHOKRAO planted 6 acres of his LAND with BANANA trees
39.

Prove that root 3 + root 2 find the irrational no

Answer»

The PRODUCT of it is 5

40.

(y⁴ + 24y - 10y²) ÷ (y + 4). What is the quotient and remainder?

Answer»

ANSWER:

QUOTIENT =  y³  - 4y² + 6y

remainder = 0

Step-by-step explanation:

                    y³  - 4y² + 6y

                     ____________

 (y + 4)         (y⁴  - 10y² + 24Y )

                     y⁴  + 4y³

                    __________

                             -4y³  - 10y² + 24y

                             -4y³ - 16y²

                         ________________

                                        6y²  + 24y

                                        6y²   + 24y

                                        __________

                                                  0

                                        ____________

41.

Divide the polynomial (x² + 4x + 4) by the binomial (x + 2). What is the quotient and remainder?

Answer»

ANSWER : remainder = 0 and QUOTIENT = (x + 2)

EXPLANATION : POLYNOMIAL (x² + 4x + 4) is divided by another polynomial (x + 2).

we have to find quotient and remainder.

first of all, resolve (x² + 4x + 4) into SIMPLER form,

x² + 4x + 4 = x² + 2.2.x + (2)²

we know, from algebraic identity, (a + b)² = a² + 2ab + b²

so, x² + 2.2.x + (2)² = (x + 2)²

now, (x² + 4x + 4) = (x + 2)² is divided by (x + 2)

i.e., (x + 2) ) (x + 2)² ( (x + 2)

(x + 2)²

----------------------------------------

0

so, remainder = 0 and quotient = (x + 2)

42.

an autoricshaw takes 2 hours to cover a distance of 24 km per hour if its speed is increased by 4 kmper hour how long will it take to cover the same distance

Answer»

Anznnsjsnsnnsnshshsh

43.

P,q and r invest rs.30000 for a bisiness.p invest rs.1000 more then q and q invest rs.4000 more than r. out of the total profit of 18000, r receives:

Answer» R's PROFIT = X
q's profit = 4000+x
p's profit = 5000+x

x + 4000+x + 5000+x = 18000
3x + 9000 = 18000
3x= 18000-9000
3x = 9000
x= 9000/3
x = 3000

q's profit = 4000+3000= 7000

p's profit = 5000+3000= 8000
44.

Minus of minus six minus minus minus seven. what do you get if tgus is added to minus minus seven again?? riddle

Answer» HAPPY to HELP U plz MARK as BRAINLIEST
45.

the polynomials p (x) =ax^3 + 4x^2 + 3x-4 and q(x)=x^3-4x+a leaves a same remainder when divided by x-3. Find the remainder when p (x) is divided by (x-2)

Answer»

If a number 'a' and a number 'b' are DIVISIBLE by a number 'n' then, a+b and a-b is also divisible by n

=> LET the number be n which divides 62, 132 and 237 leaving a REMINDER r

=> the required number then becomes H.C.F of 62-r, 132-r and 237-r

=> it could also be the H.C.F of 
(132-r)-(62-r) and (237-r)-(132-r)

i.e. 70 and 105

=> H.C.F of 70 and 105 = 35

the required number n is 35.

46.

the numbers 17 and 71 are prime numbers . both these numbers havesame digit 1 and 7 .find more such pairs of prime numers below 100

Answer»

13 and 31

37 and 73

HOPE it helps you

47.

cos 90 + theta into sin 270 + theta into sin 180 + theta upon cos minus theta into cos 270 minus theta into tan 180 + theta is equals to minus cosec theta

Answer»

You MUST REMEMBER this before (in 2ND PHOTO)

48.

If a =9+2√6 and b =57/a,then what will be the value of a^2+b^2

Answer»

A^2=(9+2¦6)^2
=81+2×9×2¦6+4×6
=81+36¦6+24
=105¦6

b^2=(57/a)^2
=3249/105¦6
=1083/35¦6

a^2+b^2=105¦6+1083/35¦6
=(3675×6+1083)/35¦6
=(22050+1083)/35¦6
=23133/35¦6

49.

Find the quadratic polynomial whose zeroes are 2/3 and -1 / 4 . Verify the relationship between zeroes and co efficient

Answer»

Here is your solution :

Given,

Zeroes = ( 2/3 ) and ( -1/4 )

We know the formula for a quadratic equation :

⇒ x² - ( Sum of zeroes )x + Product of zeroes = 0

Now , we have to find the sum of zeroes and product of zeroes .

Here we GO,

⇒ Sum of zeroes = ( 2/3 ) + ( -1/4 )

= ( 2/3 ) - ( 1/4 )

= ( 8 - 3 ) / 12

= 5/12

And,

⇒ Product of zeroes = ( 2/3 ) ( -1/4 )

= ( -1/6 )

Now , plug these values in the above used formula.

⇒ x² - ( 5/12 )x + ( -1/6 ) = 0

⇒ ( 12x² - 5x - 2 ) / 12 = 0

⇒ 12x² - 5x - 2 = 0 × 12

⇒ 12x² - 5x - 2 = 0

Hence,

The required Quadratic Equation is :

⇒ 12x² - 5x - 2 = 0

Here,

Coefficient of x² ( a ) = 12

Coefficient of x( b ) = -5

Constant TERM ( C ) = -2

Now,

⇒ Sum of zeroes = -b/a

⇒5/12 = - ( -5 ) / 12

•°• 5/12 = 5/12

And,

⇒ Product of zeroes = c/a

⇒-1/6 = -2/12

•°• -1/6 = -1/6

Verified !!

50.

A firm's average total cost is Rs. 30 at 5 units of output and Rs. 32 at 6 units of output. The marginal cost of producing6th units is–(A) Rs. 2 (B) Rs. 12 (C) Rs. 32 (D) Rs. 42

Answer»

MYSELF THE A.N.S IS (C)RS.32
HOPE IT HELP YOU.