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.

The LCM of two coprime number is 5005 if one of the number is 65 then find the other number

Answer» LET the other number be x
since the lcm is 5005 and one number is 65
we KNOW that the numbers are co primes
so HCF = 1 because co primes have only one 1 as their common factor
using EQUATION HCF ×LCM =PRODUCT OF TWO NUMBERS we GET
1 × 5005= 65 × other number
so other number = 5005/ 65= 77

so the required number is 77
2.

In a non leap year what is the probability that the last day of the year starts with the letter ‗t‘?

Answer» TOTAL Outcomes =365
Favourable outcome= 2
P(last DAY of YEAR STARTING with letter t)=2/365
3.

If the angle (4x+4)° and (6x-4)° are supplementary angles, find the value of x

Answer»

(4x+4)+(6x-4)=180°
10x=180°
x=18

4.

Correct answer would be marked as brainliest....:)

Answer»

Bggskyydu do uitstyy

5.

If the area of a rhombus be 24 cm square and one of its diagonal be 4 cm. Find the other diagonal.

Answer»

Solutions :-


Given :

Area of RHOMBUS = 24 cm²
One of its diagonal = 4 cm

Let the other diagonal be x

We know that,
Area of Rhombus = ½ × DIAGONAL1 × diagonal2

A/q

=> 24 = ½ × 4 × x
=> 24 = 0.5 × 4 × x
=> 24 = 2X
=> 24/2 = x = 12


Hence,
The other diagonal of Rhombus = 12 cm

6.

Solve : 7/2 ( y-1) = 4+3y

Answer»

7y-7=8+6y
7y-6y=8+7
y=15

7.

Pls answer this questionPls no scamWill mark Brainliest for first answer if it is correct

Answer»

58=11+1/2th OBSERVATION
=6TH observation
=

8.

Prove that:cosh3x=4cosh^3x-3coshx

Answer»

ANSWER:

cosh 3x = (e^(3x) + e^(-3x) ) / 2

cosh 3x = (1/2) e^(3x) + (1/2) e^(-3x) ----------- (1)


4 cosh^3 x - 3 cosh x = 4 ( (e^(x) + e^(-x) ) / 2)^3 - 3 ( e^(x) + e^(-x) ) /2

= (4/8) ( e^x+ e^(-x))^3 - 3 ( e^(x) + e^(-x) )^2

(a+B)^3 = a^3 + 3a^2 b + 3 a b^2 + b^3

(a+b)^2 = a^2+ 2AB + b^2


4 cosh^3 x - 3 cosh x

= (1/2) ( e^(3x) + 3 e^(2x) e^(-x) + 3 e^(x) e^(-2x) + e^(-3x) ) - 3 ( (e^(x) + e^(-x) )/2)

= (1/2) e^(3x) + (3/2) e^(x) + (3/2) e^(-x) + (1/2) e^(-3x) -(3/2) e^(x) - (3/2) e^(-x)

= (1/2) e^(3x) + (1/2) e^(-3x) + (3/2) e^(x) + (3/2) e^(-x) - (3/2) e^(x) - (3/2) e^(-x)

= (1/2) e^(3x) + (1/2) e^(-3x) -------------- (2)


(1) = (2)


9.

Find the value of(216)-2 upon3

Answer»

Here U can get ur ANSWER.....
(216)^-2/3
Cube root of 216=6
Now, 6^-2
1/6^2
1/36

Hope it HELPS

10.

Show that the conic 8x2-24xy+15y2+48x-48y=0 represents a hyperbola and hence find its eccentricity , lengths , and equations of the axes and foci ?

Answer»

Hey mate ,

here is ur ANSWER

I THINK its helps U

MARK as BRAINLIEST answer

11.

As classmates entered the room , a student kept a record of the colors of shoes they were wearing. The results are Shown in the table.

Answer»

I don't UNDERSTAND the QUESTION

12.

Write the nthterm of an AP1/m,1+m/m,1+2/m,......

Answer»

Your question NEEDS a correction.

Correct equation : 1 / m , ( 1 + m ) / m , ( 1 + 2m ) / m .....


ANSWER:


Step-by-step explanation:

Given equation : 1 / m , ( 1 + m ) / m , ( 1 + 2m ) / m.....


From the given sequence :

First term = a = 1 / m

SECOND term = a + d = ( 1 + m ) / m

Common Difference = a + d - a

                   ⇒ ( 1 + m ) / m - 1 / m

                   ⇒ ( 1 + m - 1 ) / m

                   ⇒ m / m

                   ⇒ 1


From the identities of arithmetic progressions,

n th term = a + ( n - 1 ) d


\therefore \text{nth\:term } = \dfrac{1}{m}+ ( n - 1 )1


\implies \text{nth\:term } = \dfrac{1+(n-1)m}{m}


Therefore, the value of nth term of the AP is { 1 + ( n - 1 )m } / m .

13.

Evaluate each of the following (9.5)³

Answer»

ANSWER:


Step-by-step explanation:

9.5CROSE9.5CROSE9.5

ANS:857.375

14.

If the sp of 16 bottle is equal to the cp of 17 bottle find gain or loss percent

Answer» LET CP of 16 BOTTLE be X

CP of 17 bottle = 17x/16

sp of 16 bottle = 17 x/16


gain℅ = 17 x/ 16 - x)/ x ×.100

=100/16= 6.25%
15.

The area of a rectangle is 650cm and its breath is13cm find the perimiter of the rectangle is

Answer» AREA of a RECTANGLE =l×b
650=l×13
l=650/13=50 CM


perm=2 (l+b)
=2×(13+50)
=2×63
=126 cm
16.

From 17:02 hours to5:15 hours,calculate the duration of time

Answer»

I HOPE the answer is 12 HOURS and 13 MINUTES

17.

The base and height of a triangle are in ratio 5:3 and the area is 43.2m>2 . find the base and height of the triangle.

Answer» UR ANSWER is the pic
hope it will HELP u
plz MARK as BRAINLIEST.
18.

Measure of Central tendency trick icse 10th

Answer»

In statistics, ARRANGE your set of numbers from smallest to largest. Determine which measure of central TENDENCY you wish to calculate. The three types are mean, median and MODE. To calculate the mean, add all your data and divide the RESULT by the number of data.


hope it's help you...♥️

19.

If the sum of first 14 terms of an arithmetic progression is 1050 and its first term is 10 then the 201h term is :

Answer»

Tn=a+(n-1)×d
Sn=(n/2)(2A+(n-1)×d

20.

If A+B=45° then show that tanA+tanB+tanAtanB=1

Answer»

I hope that you will understand CLEARLY then MARK as BRAINLIEST answer

21.

3 cm cubes with diagram and solution

Answer»

HERE'S UR ANSWER
"3CM CUBE DIAGRAM"

22.

The simplyfied ratio of 91cm to 104cm

Answer»

The HCF is 13,so,
91 CM/ 104 cm= 7/8

23.

Find the area of an isoscles triangle with base of length 6 cm and length of each equal side is 5 cm

Answer»

Hi Mate!!!

It's AREA can be CALCULATED by USING heron's formulla.

√{s(s-a)(s-b)(s-c)}

s = 16/2 = 8

a = 6. b = 5 and c = 5

ITZ area = √{ 8 ( 2) ( 3 ) ( 3 )}

itz area = √{ 144}

so, itz area = 12cm²



.....Have a NICE time.....

24.

1kg=500g+?g give me a answer this question

Answer»

Here is your answer


hope it HELP you

25.

What is null sets ........................

Answer» EMPTY SET is CALLED NUL set❤
26.

3 cm cubes with diagram

Answer»

Here is UR ANSWER,HOPE it HELPS

27.

The greatest number which divides 624 and 936 exactly is 312 . Find the smallest number which is divisible by 624 and 936.

Answer»

Answer: 1872 is the smallest number which is divisible by 624 and 936.


Step-by-step explanation:

To find the smallest number which is divisible by 624 and 936, we need to find the LCM of these numbers.

We can write these numbers as a FACTOR of 312 as follow:

624= 2 x 312

936= 3 x 312

Now,

LCM(624,936)= 312 x 2 x 3

=> 1872

28.

Hi ! friends please help me fast Q.A man had rupees 75000 he invested Rs 35,000 in a company which pays him 9% interest per annum and he invested rest of the money in another company which pays him 9.5 % interest per annum find the total compound interest received by him after 2 years?

Answer»

Here is your solution


GIVEN :-

A man had rupees 75000 .

invested RS 35,000 in a company which PAYS him 9%

75000-35000=Rs. 40000(rest amount )


To find the total compound interest received by him after 2 years:-


CASE :-1


Rs. 35000 at 9% interest:-


A = p (1+r/100)^t

A=35000 (1+9/100)^2

A= Rs 4158.3✔


Case:- 2


Rs 40000 at 9.5% interest :-


A=p (1+r/100)^t

A=40000 (1+9.5)^2

A= Rs 47961✔


Total amount = 41583.5+47961=89544.5


Compound interest =  89544.5 - 75000

=>Rs14544.5

Hence,


Total compound interest received by him after 2 years is Rs 14544.5


Hope it helps you

29.

Prove that diagonal of rectangle is equal toIf x = lengthAnd y = breadth

Answer» HEYYYY MATE


here is your answer

hope it HELP you
30.

What is the mean of (^)? tell me in detail.

Answer»

Hey MATE ,
this SIGN (^) is used for WRITING the power of the numbers.
eg-
two to the power 5 can be written as 2^5

hope it HELPS you

31.

Base of pyramid is a ploygon and other faces are of the shape of

Answer»

CONE

the other SHAPE will be cone HOPE

it will HELP you

32.

The base and height of the triangle in the ratio 3:2 if the area of a triangle is 243cm square find the base and height of a triangle

Answer»

Ur answer is in the pic
HOPE it will HELP u
plz mark as BRAINLIEST

33.

If anita scores 66 out of 100 then how much does she scores out of 75?

Answer»

41 is the correct ANSWER 100,Percent SURE

34.

Cumulative frequency. Find the mean age of 100 residents of a colony from the following data:Age in years No. of PersonsGreater than 0 100Greater than 10 90 " " 20 75 " " 30 50 " " 40 25 " " 50 15 " " 60 5 " " 70 0

Answer»

" " 70 0 HOPE it HELPS you

35.

Find the value of k for which one root of the quadratic equation kx^2-14x+8=0 is 2

Answer»

Kx²-14x+8=0 x=2
K2²-14×2+8=0
2K²-28+8=0
2K²=20
K=5

36.

Sum of two integers=48One number is=25Find other number

Answer»

48-25 =23 .............

37.

A room is 6.2 m long , 3.8 m wide and 3.2 m high . It has 2 doors each 2m × 1.2 m and 2 windows each 1.2 m × 1.5 m . Find the cost of white-washing it's wall at the rate of rs 10 per square meter

Answer»

Here AREA of WHITE washing =
l \times b +  \\ b \times h + h \times l - \\  (2  \times 2 \times 1.2 + 2 \times  \\ 1.2 \times 1.5)
After all calculations u will GET area and then just multiple with 10 to get cost of white washing

38.

Find lcm of 2 rs 40 paise and 3 rs 20 paise

Answer» HOPE you GOT it......
39.

Mr Gupta bought 5 kg of potatoes at 18.75 per kg 3 kg of onions at 22.50 per kg and 2kg of potatoes at 35.25 per kg how much did she spend all

Answer»

Answer:231.7


Step-by-step EXPLANATION:

For POTATOES 5×18.75=93.7

For ONIONS 3×22.50=67.5

For potatoes 2×35.25=70.5

Adding all COST =93.7+67.5+70.5=231.7

40.

If a dice is thrown 5 times what is the probability of getting 5 even numbers

Answer»

PROBABILITY will be 3

41.

पवन एक आयताकार खेत के दो चक्कर लगाता है जिसकी लंबाई 30 मीटर तथा चौड़ाई 25 मीटर है मोहन एक 40 मीटर भुजा वाले वर्गाकार खेत के चारों ओर 3 चक्कर लगाता है। प्रत्येक कितनी दूरी तय करता है। कौन अधिक दूरी तय करता है और कौन कितनी दूरी होनी तय करता है?

Answer» PERIMETER of rectangle=2(l+b)
=2(30+25)
=2×55
=110m
Perimeter of square=4×side
=4×40
160m
Total DISTANCE COVERED by Pawan=2×110
=220m
Total distance covered by Mohan=160×3
=480m
Difference=480-220=260M
So, Mohan covers more distance by 260m.
42.

Asymptotes of the curve x^2y^2=a^2(x^2+y^2) form a square of side 2a

Answer»

Axx2+bxy2=1axx2+bxy2=1

Rearranging this into a nicer form:

y2=−b2∗x2a2−x2y2=−b2∗x2a2−x2

A VERTICAL ASYMPTOTE will OCCUR when the denominator = 0.Therefore :

x=+/−ax=+/−a

For the HORIZONTAL asymptope take the limit as x → infinity

y2=limx→infinity−b2∗x2x2a2x2−1y2=limx→infinity−b2∗x2x2a2x2−1

y2=limx→infinityb21y2=limx→infinityb21

Therefore Horizontal assomtyopes at :

y=+/−b


43.

The solution of the recurrence relation t(m) = t( 3m 4) + 1 is

Answer»

We can solve this using substitution method.

Claim: T(n) <= c n^2

IH: We ASSUME that claim is true for all values of n < m.  

INDUCTIVE Step: T(m) = T(m/4) + T(3m/4) + m^2

<= cm^2/16 + c 9 m^2 / 16 + m^2

= cm^2 (1/16 + 9/16 + 1/c)

= c m^2 (10/16 + 1/c)

<= c m^2   as long as 1/c <= 6/16.   So, we can choose a value of c >= 16/6 and the rest of the math holds up.

QED.

Therefore, by PMI, T(n) <= c n^2, that is, T(n) = O(n^2).

Alternative Proof:

FOLLOW the same logic, but instead of c, USE a larger constant such as 10.

T(n) = 10 n^2/16 +  10 9n^2/16 + n^2.

      <= 10 n^2

44.

Find the common factor of 12xand 36

Answer»

Solution:


FIRSTLY We NEED to convert each of these terms in

simple factors forms and then CHOOSE the common factors


 


i)


12x, 36




12x =2×2×3×x


36=2×2×3×3


 


 Common

Factor are 2,2,3


 2×2×3=12



45.

a solid cylinder has a total surface area of 231 sq.cm .its curved surface area is one by three of TSA . find the volume of cynilder.

Answer» TOTAL SURFACE area = 231

2πr(r+h) =231 ...(1)

Curved surface area = 2/3 of total surface area

,

46.

If an nth degree polynomial is divide by a mth degree polynomial , then the possible degree of the quotient is :

Answer» HI MATE!!

POSSIBLE DEGREE of POLYNOMIAL is m
47.

Plz answer tis question

Answer»

A +B = -1

and a*b = 1

1/a +1/b = (a*b )/(a+b)

= 1/(-1) = -1
I take ALPHA =a & BETA = b





48.

Find2.5%of 10%×1×1000000 m cube

Answer»

FIRST CALCULATE 10% of 1×1000000

10/100×1000000

=100000

Now calculate 2.5% of 100000

2.5/100×100000

2.5×1000

=25×100

=2500

49.

2/3 of a class are girls. What is the ratio girls to boys in the class?

Answer»

1/3 is the ratio of BOYS in the CLASS . Please MAKE me as a brainalist

50.

A metallic cylinder of base radius 5 cm and height 12cm is melted and recast into spheres of radius 2cm.How many such spheres are got?

Answer»

No. of SPHERE FORMED will be 28.125