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 sum of the first 10 terms of an arithmetic sequence is 583

Answer»

S1o=583
10/2[2A+(10-1)d=583
5[2a+9d]=583

2.

The sum of digit of a two digit number is 12. the number obtained by inter changing the digit exceeds the given number by 18 .find the number

Answer» LET the TENS digit be x and the UNITS digit be y.
So the number=10x+y
A.q.
x+y=12
x=12-y (equation 1)
After interchanging the number we get
=10y+x
Also,
(10y+x)-(10x+y)=18
10y+x-10x-y=18
9y-9x=18
9(y-x)=18
y-x=18/9
y-x=2
From eauation 1 x=12-y
So,
y-(12-y)=2
y-12+y=2
2y=12+2
2y=14
y=14/2
y=7
And x=12-y
=12-7
=5
Hence the number is 57.
3.

The sum of a two digit no. and the no.formed by interchanging the digits is 132

Answer»

Let the digits be a and B,where b is the unit number and a is the TENTH PLACE number..

so according to the given CONDITION

(10a+b)+(10b+a) = 132

(11a+11b) = 132

a + b = 12....(1)

so better find combinations of a and b such that their digit sum is 12.. as shown in eq (1)

while we add the ORIGINAL two digit obtained number with the reversed number..the sum should b 132 ( given in the question)

so the two digit number will be either 75 or 57

4.

2^250, 3^150,5^100,4^200 the smallest among these numbers

Answer» 100 is the SMALLEST these NUMBERS
5.

20, - 18,-56,-91,-132,next

Answer»

ACTUALLY it is an ARITHMETIC progression next term will be -150

6.

Fill in the blanks1) (2x-3y)³= ?2)(2x+y-z)² = ?3)(3a+b)³ = ?

Answer»

X = 1+√2 + √3; then find 2X4 – 8x3 – 5x2 + 26x – 28. A) 6 √6 ... Now (x + 1/x) ² = 3 (given) => x + 1/x .... x³ – 8 – 6x(x – 2) = ( 21/3)³ + (22/3)³ + 3(21/3 x 22/3)(21 ...

7.

There is a equilateral triangle in a circle then ratuo of diameter and triangle side will be

Answer» YES the ratio of the DIAMETER and the SIDES of that PARTICULAR triangle are same
8.

The ratio of the two number is 3:4 and their hfc is 4 their lcm is

Answer» LCM of the NUMBERS is 4
9.

Find the difference between simple interest and compound interest for 3years at 10% per annum when the interest is compounded annually on 30000

Answer»

Here is your SOLUTION.

10.

Try these from the digitas 3,0and 4,make five numbers each with 6digits .use comms

Answer»

300004,300040, 300400, 304000, 340000 , 400003, 400030, 400300, 403000 , 430000 . this is the ANSWER

11.

What is Heron’s Formula? Why is it used for?

Answer»

\mathit{\underline{\large{Heron's\:\: <klux>FORMULA</klux>:}}}

This formula is used for calculating Area of triangle with different SIDES

the name Heron's TAKEN from the name :\mathit{\underline{ Hero \:\:of \:\:Alexandria}}.

Now, the Heron's formula is:- \mathit{\boxed{\boxed{area \:\: of \:\: triangle = \sqrt{S(S - a)(S - b)(S - c)}}}}

where, a , b , c are the sides of the triangle

And " S " is semi - perimeter

for finding the VALUA of

S = (a + b + c)/2

it's unit is cm² , m²

​​

Hope this help you

12.

6. in parallelogram abcd above what is the measure of ?adc? (1) the measure of ?abc is greater than 90o. (2) the measure of ?bcd is 70o

Answer»

,MEASURE of ANGLE ADC is 30°

13.

five bad oranges are accidentally mixed with 20 good ones. if four oranges are drawn one by one successively with replacement then find the probability distribution of number of bad oranges drawn. hence find the mean and variance of the distribution.

Answer»

WEH sumpah AKU TAK tahu APA jawapan DIA duhhh

14.

there are 8 teachers in a school .when a 35 year old teacher was transfered and another teacher joined,the average age was increased 2 year .how old is t e new teacher?

Answer»

Average = (Total Quantity)/ Number of quantity


So,

Let the average AGE of teachers be x


Let y be the age of teacher that JOINED


So,


Total age of 8 teachers when 35 year old one did not LEAVE was,

=8x


When 35 year old leave and new one joined then,

Total sum of ages

= 8x -35 + y


Now,

The average of this increased by 2


SO,

(8x -35 + y)/8 = x + 2


8x -35 + y = 8x +16


-35 + y = 16


y = 35 +16


y=51


So,


A 51 year old teacher joined the SCHOOL


15.

In a trapezium, if distance between parallel sides is 6 cm and lengths of the parallel sides are 7 cm and 8 cm respectively then find the area of the trapezium.

Answer»

SOLUTION : Given the parallel sides 7 CM and 8 cm .

distance between parallel sides i.e. HEIGHT = 6 cm


Area of the trapezium = SUM of parallel sides × height

⇒ Area of the trapezium = (7+8)cm × 9 cm

⇒ Area of the trapezium = 15×6 cm²

∴ Area of the trapezium = 90 cm² . (answer)

16.

An old book was bought for Rs 1520 and sold for 1444. Find the loss per cent

Answer»

Loss = CP - SP

Loss = 1520 - 1444


Loss = 76





Loss % = ( 65 × 100 ) / 1520

Loss % = 650/152 %


.

17.

There is a loss of Rs 50 by selling a book at Rs 250. Find the cost price and loss per cent

Answer» 200 is the PRICE and 20% is the LOSS
18.

Write the following number in expand form 205.45

Answer»

205.45 = 200 + 00 + 5 + 0.40 + 0.05

OR

205.45
= 2 HUNDRED
+ 0 TENS
+ 5 ones
+ 4 TENTHS
+ 5 hundredths

Hope it HELPS..!!

19.

The mean of numbers a,b,c,d is 100. if c = 70 , then mean of the remaining number is

Answer»

73758358+555++85848493(8503)84949490/944932)₹&3(8482|π÷•÷|`×^=${¶^=√==•÷ו37847937504)(89993

20.

An article is bought for Rs 300 and zold for Rs 315.Find the profit and the profit per cent

Answer» PROFIT will be 5 % ......
21.

Find the number that logically completes the series : 3, 4, 6, 8, 12, 16, ..................., 32, 48, 64(a) 18 (b) 20 (c) 28 (d) 24

Answer»

The ANS is 18
HOPE it HELPS U

22.

If 5 x 4=12 and 8 x 7=42 then 9 x 8 ............(a) 24 (b) 48 (c) 40 (d) 36

Answer»

(5-2)×3 = 12

(8-2)×7 = 45

then

(9-2)×8 = 56

23.

In the following number how many 1?s are there which are immediately followed by 0? and notimmediatelypreceded by 5?. 5210638215901210421(a) 0 (b) 2 (c) 3 (d) 1

Answer» HEY MATE the ANS is C THREE
24.

Write in the form of p/q :- 7.5bar

Answer»

The ANS is.....75-5/(90)
70/90
7/9 HENCE the ans is....7/9

25.

Area of a rhombus is 96 sq cm. One of the diagonals is 12 cm find the length of its side.

Answer»

The area of the side of the rhombus WOULD be 10 CM. You can use the formula to FIND the area of the rhombus to find the length of the other diagonal and side. I HOPE this helps!

26.

Two workers a and b workingtogether completed a job in 5 days. if a worked twice as efficiently as he actually did and b worked 13 as efficiently as he actually did, the work would have been completed in 3 days. a alone could complete the work in?

Answer»
let A can do alone the work in x DAYS
let B can do alone the work in y days
CASE-I
A's 1 day work =1/x
B's 1day work  =1/y
(A+B)'s 1day work =1/5
therefore,1/x+1/y=1/5    ------------(1)
CASE-II
A had worked as efficiently as he actually did nd B had worked 1/3 as he actually did
A's 1day work =2/x
B's 1day work =1/3y
(A+B)'s 1 day work =1/3
therefore,2/x+1/3y=1/3 ----------------(2)
solving eqn (1) nd (2)
we GET x=6.25
there fore A can alone work in 6.25 days

hope it HELPS you. . . . follow me. . . . . MARK as a brainlist. . . . .
27.

The hcf of two numbers is 145 and their lcm is 2175 phone no. is 125 find the other no.

Answer»

Heya !!




HCF of TWO NUMBERS = 145



LCM of two numbers = 2175




ONE number = 125



Other number = ?



We know that,


one number × Other number = HCF × LCM




125 × Other number = ( 145 × 2175)




Other number = ( 145 × 2175 ) / 125



Other number = 2523.

28.

Pls provide the answer for the attached question(spam answers will be reported)

Answer»

COMPLETED. HOPE this HELPED!

29.

If z is a complex number, then

Answer» HEY MATE PLZZ COMPLETE YOUR QUESTION
30.

A length of 7 micro millimetre is :(a) 0.000000007 mm (b) 0.00000007 mm (c) 0.0007 mm (d) 0.000007 mm

Answer» HEY MATE , HERE IS YOUR ANSWER.✌✌

ANSWER IS OPTION ( B ) 0.00000007 mm

HOPE IT HELPS U.✌✌
#BE BRAINLY.
THNKS.❤❤
31.

2101 -2100 -299 is equal to :(a) 299 (b) 298 (c) 2100 (d) 3 (298)

Answer»

(B) - 298 is the ANSWER

32.

.What is the rational number equal to 0.712712712.................a(a) 712/10 (b) 712/1000 (c) 712/999 (d) 7127/9999

Answer»

The RATIONAL number equal to 0.712712712 is C. 712/999.

This is because, after DIVIDING to find the decimals of these FRACTIONS, the answers are:

a. 712/10= 71.2

b. 712/1000= 0.712

c. 712/999= 0.712712...

d. 7127/9999= 0.71277

The ANSWER is c.

I hope this helps! :)

33.

If each of the dimensions of a rectangle is increased by 200%, then the area is increased by :(a) 300% (b) 200% (c) 800% (d) 600%

Answer» OPTION (C) is CORRECT
34.

4 2/3x125 -2/3 x3 5/5

Answer» 4 2/3x125 -2/3 X3 5/5
= 1750- 70/15
= 1750- 14/3
= 5250-14/3
= 5236/3
=1745.33
35.

If Area of a parallelogram is 112 sq cm and base of it is 10 cm then find its height

Answer» HELLO MATE ☺
_____________________________⭐⭐⭐

Area of Parallelogram = 112 cm^2
Base of Parallelogram = 10cm
HEIGHT (h) = ????

As we KNOW that :
Area of PARALLEGRAM = Base×Height
112 = 10 × Height
112 /10 = Height
Height = 11.2cm

SO , HEIGHT OF PARALLELOGRAM IS 11.2cm ✔
______________________________⭐⭐⭐
HOPE IT HELPS U✌✌
^_^
36.

The difference between the digit of a two digit number is 4 .the sum of the number and the number formed by reversing its digits is 110. find the two digit number

Answer»

Let the TENS digit be x and the UNITS digit be y.
So the number=10x+y
A.q.
x-y=4
x=4+y (equation 1)
After INTERCHANGING the digits we get
=10y+x
Also,
(10x+y)+(10y+x)=110
11x+11y=110
11(x+y)=110
x+y=110/11
x+y=10
From equation 1 x=4+y
So,
4+y+y=10
2y=10-4
2y=6
y=6/2
y=3
And x=4+y
=4+3
=7
Hence the number is 73.

37.

The cost of packaging of the oranges is 20% the cost of fresh oranges themselves. the cost of oranges increased by 30% but the cost of packaging decreased by 50%, then the percentage change of the cost of packed oranges, if the cost of packed oranges is equal to the sum of the cost of fresh oranges and cost of packaging

Answer»

Answer:

The percentage CHANGE of the cost of packed oranges is 16.6%.                

Step-by-step explanation:

Given : The cost of packaging of the oranges is 20% the cost of FRESH oranges themselves. The cost of oranges increased by 30% but the cost of packaging DECREASED by 50%.

To find : The percentage change of the cost of packed oranges, if the cost of packed oranges is equal to the sum of the cost of fresh oranges and cost of packaging?

Solution :

Let the cost of oranges be Rs.100.

The cost of packaging of the oranges is 20% the cost of fresh oranges themselves.

Packaging cost is \frac{20}{100}\times 100=20

Initial total cost = Cost of oranges + Packaging cost

Initial total cost = 100 + 20

Initial total cost = Rs.120

The cost of oranges increased by 30% but the cost of packaging decreased by 50%.

i.e. the cost of the oranges = 100+\frac{30}{100}\times 100=130

The cost of packaging = 20-\frac{50}{100}\times 20=10

Fresh total cost = 130+10=Rs.140.

Increased cost = Fresh total cost - Initial total cost

Increased cost = 140-120

Increased cost = 20

Percentage increased cost is \frac{20}{120}\times 100= 16.6\%

THEREFORE, The percentage change of the cost of packed oranges is 16.6%.

38.

Sin2x=1/5 then sinx + cosx =

Answer»
{( \sin(x) +  \cos(x) ) }^{2}   =  { \sin }^{2}x +  { \cos}^{2} x  + 2 \sin(x)  \cos(x)   \\   {( \sin(x) +  \cos(x) ) }^{2}   = 1 +  2 \sin(x)  \cos(x)  \\ {( \sin(x) +  \cos(x) ) }^{2}   = 1 +   \sin(2x)  \\ {( \sin(x) +  \cos(x) ) }^{2}    = 1 +  \frac{1}{5}  =  \frac{6}{5}  \\ therefore \\  \sin(x) +  \cos(x) =  \sqrt{ \frac{6}{5} }
39.

Find the largest 2 numbers and the smallest 2 numbers in the given array

Answer» 99 is the largest 2 DIGIT number & 10 is the SMALLEST 2DIGIT number
40.

Find the sum of all numbers of 4 digits without repetition using 1 2 0 0

Answer»

The ANSWER will be 24

41.

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD show that ar(ΔAPB)=ar Δ(BQC).

Answer»

If a parallelogram and a triangle are on the same base and between the same parallels then area of the triangle is half the area of the parallelogram.


==========================================================


Given: In parallelogram ABCD, P & Q any two POINTS lying on the sides DC and AD.

To show: ar (APB) = ar (BQC).

Proof:

Here, ΔAPB and ||gm ABCD stands on the same base AB and lie between same parallel AB and DC.

Therefore,

ar(ΔAPB) = 1/2 ar(||gm ABCD) — (i)


Similarly,

Parallelogram ABCD and ∆BQC stand on the same base BC and lie between the same parallel BC and AD.

ar(ΔBQC) = 1/2 ar(||gm ABCD) — (II)


From eq (i) and (ii),we have

ar(ΔAPB) = ar(ΔBQC)


HOPE this will help you...


42.

What is the sum of 1 +2

Answer»

the ANSWER to your QUESTION is......



1+2=3

43.

What is the median of the following data? 23,32,24,35,36,37,27(a) 27 (b) 35 (c) 32 (d) 30

Answer»

ANSWER is 30 i.e d OPTION

44.

The sum of two number is 97 and their difference is 37. of the product

Answer» SEE the ATTACHED file for answer
HOPE MY ANSWER SATISFIED YOU AND IF IT THEN MARK IT AS BRAINLIEST ANSWER
45.

The area of a rectangle be x^2+7x+10 sq cm,then one of the possible perimeter of it is

Answer»

See the answer in the attached FILE
HOPE MY ANSWER SATISFIED YOU AND IF THEN MARK IT AS BRAINLIEST ANSWER

46.

How many terms are their in the AP 2,9,16,.....,261?

Answer»

You can FIND by FORMULAE= NTH term=a+(n-1)d


hope for thsnks

47.

A principal amounts to ₹13924 in 2 years by compound interest at 18 p.c.p.a. Find the principal.

Answer»

Given, amount, A = ₹ 13924
time PERIOD , n = 2
interest RATE , R = 18 % per annum
LET principal is P

use formula, A=P\left(\begin{array}{c}<klux>1</klux>+\frac{r}{100}\end{array}\right)^n
so, 13924 = P(1 + 18/100)²
=> 13924 = P(118/100)²
=> P = 13924 × 10000/118 × 118
P = 10,000

hence, principal is ₹ 10, 000

48.

What is the percentage increase in the area of a rectangle if the sides are increased by 25%.

Answer»

It's AREA INCREASES by 56.25%

49.

Sum of two number is 576,their sum exceeds their difference 36 ,then what is the sum of two number

Answer»

a+b=576

a+b=(a-b)+36

hence, a=558, b=18

50.

Sum of two consecutibe odd numbers is 56 then numbers are

Answer»
let \: first \: number \: be \: x \\ second \: number \: be \: x +2 \\ x + x + 2 = 56 \\ 2x + 2 = 56 \\ 2x = 56 - 2 = 54 \\ x = \frac{54}{2} \\ x = 27 \\ x + 2 = 27 + 2 = 29 \\ answer \: = 29