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.

In the figure ABC is Congruent with PQC By​

Answer» ONG>ANSWER:

where is the FIGURE of the TRIANGLES?

2.

Find the value of 100/3 % of 9012​

Answer» ONG>Answer:

3004

Step-by-step explanation:

100/3% of 9012

⇒ (100/3)/100 × 9012

⇒(100/3)×(1/100) × 9012

⇒100 and 100 GET cacelled

⇒1/3×9012

⇒9012/3

⇒3004

3.

*The price of one box is (a - 7) Rs. What is the total cost of (a + 7) boxes?* 1️⃣ ₹(a² - 14a + 49) 2️⃣ ₹(a² - 49) 3️⃣ ₹(a² + 14a + 49) 4️⃣ ₹(a² + 49)

Answer» ONG>Answer:

1 adrty djdhve wnejej jsbe E

4.

89_5. 25x y zX9 96a) 50x y z(-2xyz)? isb)​

Answer» ONG>ANSWER:

bshjwjdj jtjrjdidkdkdkdkdkdd

5.

Adjacent angel of parallelogram are of measure 2x and 7x then find value of x​

Answer»

\huge\tt\fbox{✯Answer✯}

We KNOW ,

sum of adjacent angles of parallelogram is = 180°

\bf\underline\green{Given:}

Measure of the adjacent ANGLE = 2x and 7X

Now, lets solve it

\bf{2x\:+7x\:=\:180°}

\bf{⇒9x\:=180°}

\bf{⇒x\:= \frac{180}{9} }

\bf{⇒x\:=20°}

Answer

The value of "x" is 20

6.

Find the products of 13/4×20/3 and 19/2×11/5. which product is greater and by how much?​

Answer»

ong>ANSWER:

Step-by-step explanation:

 13/4 X 20/3 = 260/12

 19/2 x 11/5  = 209/10

 L.C.M of 12,10 = 60

 260 x 5/12 x 5 = 1300/60

 209 x 6/10 x 6 = 1314/60

 1300/60 < 1314/60   ( 13/4 x 20/3 < 19/2 x 11/5 )

 \frac{1300 - 1314}{60}  = 14/60

7.

निचे दिखाई गई आकृति में व्रत का कौन सा भाग दिखाया गया है? Which part of the circle is shown in thefigure shown below?Diameter chord sectorsegment of circle​

Answer»

ong>Answer:

SEGMENT of CIRCLE because it is whole ROUND

8.

Neha has 2,7,5 and 6 digit cards. Using these digits at once, she made four numbers. In which option the largest number is written?class 6​

Answer» ONG>ANSWER:

j.oin f.or s.ome h.ot s.ex ad.ventures vry-rhdk-ssv

9.

How many percent of 40 is 18​

Answer» ONG>Answer:

45

Step-by-step EXPLANATION:

let the PERCENTAGE be X

a/q

x/100*40-18

x-100*18/40

45

10.

How many sides does a cube have​

Answer»

ong>Answer:

6

Step-by-step explanation:

In geometry, a cube is a three-dimensional solid object bounded by SIX square faces, facets or sides, with three meeting at each vertex. The cube is the only REGULAR hexahedron and is one of the FIVE Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

11.

Answer this please and thank you!​

Answer» R to IMAGE for answer

hope this HELPS...

12.

A person starts multiplying consecutive positive integers from 50. How many numbers should he multiply, so that he will have a result that will end with 2 zeroes?03O2.O6OOO4​

Answer» ONG>ANSWER:

I kadykaykDlUDukszuklzududzkluzzu

13.

2(4x - 3) = 5(x + 3)​

Answer» ONG>Step-by-step explanation:

8x-6=5x+15

8x-5x=15+6

3x=21

x=7

14.

Show that :(1 - sin A + cos A)^2= 2 (1 - sin A) (1 + cos A)​

Answer»

\underline {\large \pmb{\mathfrak{๑ \: Question:}}}

SHOW that :

\rm{(1-sinA+cosA)^2=2(1-sinA)(1+cosA)}

\\

\large \underline {\pmb{\mathfrak{๑ \: Solution:}}}

  • \rm (1-sinA+cosA)^2=LHS

  • \rm 1+sin^2A+cos^2A-2sinA-2sinAcosA+2cosA

  • \rm 1+1-2sinA-2sinAcosA+2cosA

  • \rm 2+2cosA-2sinA-2sinAcosA

  • \rm 2(1+cosA)-2sinA(1+cosA)

  • \rm (1+cosA)(2-2sinA)

  • \rm 2(1+cosA)(1-sinA)=RHS

\underline {\pmb{\mathfrak{Hence,~proved!}}}

\\

\large \underline{\pmb{\mathfrak{๑~More~to~know:}}}

  • \rm cos^2\theta +sin^2\theta=1

  • \rm 1+tan^2\theta=sec^2\theta

  • \rm 1+cot^2\theta=cosec^2\theta

  • \rm cosec(x \pm 2\pi)=cosecx

  • \rm tan(x \pm \pi)=tanx

  • \rm sin(x \pm y)=sinx~cosy \pm cosx~siny

\\

________________________________

Swipe your screen from LEFT to right in order to VIEW the ANSWER completely!

15.

Do division for 152÷4​

Answer» ONG>Answer:

152 divided by 4

38 is the REQUIRED answer of this question .

MARK me as a brianliant

follow ALSO

16.

PoIf a, b, c, d and e are in AP, then find the value of a - 46 + 6c - 4d + e.​

Answer» ONG>ANSWER:

gshrdykutststidtdtudtiftidyixfzgxgxgizigvjcgjxhkdhlfkhfyof

Step-by-step EXPLANATION:

here is your answer

45

17.

13) find the products of 13/4 × 19/3 and 19/2 × 11/5 . which product is greater and by how much ?​

Answer» ONG>1st step:

13/4×19/3

=13×19/4×3

=247/12

=20.583

2nd Step:

19/2×11/5

= 209/10

= 20.900

DIFFERENCE : 20.90020.583 = 0.317

THEREFORE, THE GREATER PRODUCT IS 20.900 AND IS GRATER BY 0.317.

18.

12. In the given figure, find sec a.AB 4 cmCD 12 cmBC 3 cm

Answer» ONG>Answer:

13/12

Step-by-step explanation:

In ABC

AB*2+BC*2=AC*2(Pythagoras THEOREM)

so AC=√16+9=√25=5

now In ACD

AD*2=12*12+5*5=169

AD=13

now sec A=Hypotenuse/base

so secA=13/12

19.

25. Find the value(s) of k so that the equations x² - 11x + k = 0 and x² - 14x + 2k = 0 may have a common root.⚠️ No spam ⚠️​

Answer»

\large\underline{\sf{Solution-}}

Given quadratic equations are

\rm :\longmapsto\: {x}^{2} - 11x + k = 0 -  - (1)

and

\rm :\longmapsto\: {x}^{2} - 14x + 2k = 0 -  -  - (2)

LET assume that 'y' be the common root.

Thus,

y MUST satisfy equation (1) and equation (2),

\rm :\longmapsto\: {y}^{2} - 11y + k = 0 -  - (3)

and

\rm :\longmapsto\: {y}^{2} - 14y + 2k = 0 -  -  - (4)

Now,

Subtracting equation (4) from equation (3), we get

3y - k = 0

\bf\implies \: y= \dfrac{k}{3}  -  -  - (5)

Now

Substituting the value of y in equation (3), we get

\rm :\longmapsto\: {\bigg(\dfrac{k}{3} \bigg) }^{2} - 11\bigg(\dfrac{k}{3} \bigg)  + k = 0 -  - (3)

\rm :\longmapsto\:\dfrac{ {k}^{2} }{9}  - \dfrac{11k}{3}  + k = 0

\rm :\longmapsto\:\dfrac{ {k}^{2}  - 33k + 9k}{9}  = 0

\rm :\longmapsto\:\dfrac{ {k}^{2}  -24k}{9}  = 0

\rm :\longmapsto\:k(k - 24) = 0

\bf\implies \:k = 0 \:  \:  \:  \: or \:  \:  \:  \: 24

\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:Hence-\begin{cases} &\bf{k = 0} \\ &\bf{k = 24} \end{cases}\end{gathered}\end{gathered}

Justification :-

Case :- 1

When k = 0,

The two equations reduces to

\rm :\longmapsto\: {x}^{2} - 11x = 0

\rm :\longmapsto\: {x}(x - 11) = 0

\bf\implies \:x = 0 \:  \: or \:  \: 11

and

\rm :\longmapsto\: {x}^{2} - 14x = 0

\rm :\longmapsto\:x(x - 14) = 0

\bf\implies \:x = 0 \:  \: or \:  \: 14

Hence,

\red{ \boxed{ \sf{ \: 0 \: is \: the \: common \: root}}}

Case :- 2

When k = 24

The two equations reduces to

\rm :\longmapsto\: {x}^{2} - 11x + 24 = 0

\rm :\longmapsto\:(x - 8)(x - 3) = 0

\bf\implies \:x = 8 \:  \: or \:  \: 3

and

\rm :\longmapsto\: {x}^{2} - 14x + 48 = 0

\rm :\longmapsto\:(x - 8)(x - 6) = 0

\bf\implies \:x = 8 \:  \: or \:  \: 6

Hence,

\red{ \boxed{ \sf{ \: 8 \: is \: the \: common \: root}}}

Additional Information :-

Nature of roots :-

Let US consider a quadratic equation ax² + bx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.

  • If Discriminant, D > 0, then roots of the equation are real and unequal.

  • If Discriminant, D = 0, then roots of the equation are real and equal.

  • If Discriminant, D < 0, then roots of the equation are unreal or complex or imaginary.

Where,

  • Discriminant, D = b² - 4ac
20.

Factorise 14pq - 35pqr​

Answer» ER:- 7pq ( 2- 5 r)

HOPE this is helpful to you

21.

find the equation of a straight line cutting off an intercept from axis of y and inclined from the slope 2/3 to the y axis

Answer» ONG>ANSWER:

akdakarykadykayadkykadsukyakeyka

22.

Find the possible Length and Breadth of the rectangle, perimeter and the Length of the diagonal... (diagonal has 2 values in root)Area = 25a² - 35a + 12 ​

Answer»

>Solution :<P>

\:

☞︎︎︎ Given :

\:

  • Area = 25a² - 35a + 12

\:

★ We know ,

\:

Area = Lenghth + breadth

\:

★ Area = 25a² - 35a + 12

\:

\:

= 25a² - 35a + 12

➪ 25a² - 20a - 15a + 12

➪ 5a(5a - 4) - 3(5a - 4)

= (5a - 3)(5a - 4)

= L × B

\:

☞︎︎︎ We have :

\:

  • Length = 5a - 3

\:

  • Breadth = 5a - 4

\:

Perimeter = 2(lenght + breadth)

\:

➪ 2(5a - 3 + 5a - 4)

➪ 2(10a - 7)

➪ 2(10a) - 2(7)

➪ 20a - 14

\:

perimeter = 20a - 14

\:

  • Finding Diagonal :

\:

☞︎︎︎ we get right angel TRIANGLE by half of rectangle (diagonal)

\:

  • Pythagoras Theorem :

\:

H² = B² + P²

\:

  • H = To find (diagonal)

  • B = 5a - 3

  • P = 5a - 4

\:

➪ H² = (5a - 3)² + (5a - 4)²

➪ H² = 25a² - 9 + 25a² - 16

➪ H² = 50a² - 25

\:

\large \boxed{\therefore \rm \: diagonal =  \sqrt{50 {a}^{2}   - 25} }

23.

EXERCISE - 6.3 01. Draw the graph of each of the following linear equations.i) 2y=-x+1 ii) –x+y=6iii) 3x + 5y = 15 iv) x/2 _y/3 =3​

Answer» ONG>Answer:

Mitochondria are membrane-bound cell organelles (MITOCHONDRION, SINGULAR) that generate most of the chemical energy needed to power the cell's biochemical reactions. Chemical energy produced by the mitochondria is stored in a small molecule called adenosine TRIPHOSPHATE (ATP).

24.

which of the following is the value of the discriminant for x²+7x-3=0. 37. 61. 51 25​

Answer» ONG>Answer:

kvkvkvj. N n j nvn n m m tshvnvjc ncjvmb

25.

75% concert this given percentage into Simplest FromRatio4:32:4.2)3) 13:44)4:2​

Answer» ONG>Step-by-step explanation:

sorry i DONT know

this SUM

26.

*Adjacent sides of a parallelogram are in the ratio 1:3 and their perimeter is 88 cm then find the length of those sides.* 1️⃣ 22,66 2️⃣ 20,60 3️⃣ 11,33 4️⃣ 10,30

Answer»

ong>Answer:

3) 11,33

because : (11*2 ) + (33*2) = PERIMETER of PARALLELOGRAM ....(2 SIDES of parallelogram are same)

27.

What is Mathematics?????​

Answer»

ong>Answer:

Mathematics includes the STUDY of such TOPICS as quantity, structure, SPACE, and change. It has no generally accepted definition. Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof.

28.

Q1:) after an increase of 5% , sheryl's monthly saraly becomes $2205. find her original monthly salary. Q2)In a triathlon, an athlete swims 750 m in 15 minutes, cycles at an average speed of 40 km/h for 30 minutes and runs 5 km at an average speed of 3m/s. Find his average speed for the entire competition, giving your answer in km/hr.​

Answer»

ong>Answer:

LET her original monthly salary be x.

then, Increase salary = 105% of x

Rs2205 = 105% of x

Rs2205 = 105/100 of x

Rs2205 × 100/105= x

Rs2100 = x

Hence, her monthly salary is Rs 2100

Step-by-step EXPLANATION:

I cannot answer your SECOND QUESTION.

29.

*If △ ABC ~ △ DEF such that AB = 12 cm and DE = 14 cm. Find the ratio of areas of △ ABC and △ DEF.* ​

Answer»

ong>Answer:

A. (ABC) : A. (DEF) = 36 : 49

Step-by-step explanation:

SINCE, A. of △ ABC/ A. of △ DEF = (AB)^2/(DE)^2

So, A. (ABC) : A. (DEF) = (12)^2 : (14)^2

Therefore, A. (ABC) : A. (DEF) = 144 : 196

=> A. (ABC) : A. (DEF) = 36 : 49

Hope it helps u !!!!!!!!

30.

Express ​

Answer» ONG>You should to USE of CALCULATION.

31.

2) A, B and C started a business by investing the amounts in the ratio of 8 12 7. After one-year A again invests Rs 15000 and B invests Rs 10000. If at the end of two years total profit was shared between them in the ratio of 100: 140: 77, then what is the initial investment made by A, B and C together? a) Rs 250,700 b) Rs 371,500 c) Rs 185,625 d) Rs 371,250 e) Rs215,100​

Answer»

b bi h HUB b DAY h hub in the MORNING

32.

D) Show that.(a - b)(a + b) + (b -c)(b + c) + (c-a)(c + a) = 0​

Answer» ONG>Step-by-step EXPLANATION:

(a²-b²)+(b²-c²) +(c²-a²)

a²-b²+b²-c²+c²-a²

=0

33.

1)which of the following is monomial?a) 4x+ b) a+6 c)a+b+c d) 2a+b+in 52​

Answer» ONG>ANSWER:

yessjjsjsjdjdjjdjdjdjsjdjjsjdkdkdkxoxoodod

34.

A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. class interval 0 - 10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 frequency 7 14 13 12 20 11 15 which class interval has the highest frequency what is the class size lower limit of highest class frequency is what is the total no. of cars between the range f 50-80

Answer»

ong>Answer:

40 - 50 has the highest frequency

the class size is 10

46 is the TOTAL no of CARS btwn d RANGE of 50-80

35.

X²- 5x=1 find x²+1/x²​

Answer» 5X = 1

x² - 1 = 5x

(dividing the EQUATION by x)

x - 1/x = 5

(SQUARING both sides)

(x - 1/x)² = 5²

x² + 1/x² - 2 = 25

x² + 1/x² = 25 +2

x² + 1/x² = 27

HOPE IT WILL HELP YOU. :-)

36.

5% of total amount is 30 what is the total amount​

Answer» ONG>Answer:

600

Step-by-step explanation:

5℅ Of TOTAL Amount=30

5/100 of Total Amount=30

Total amount=30×100÷5

Total amount=600

37.

Bananas are sold at 18 per dozen What will be the cost of 3 bananas​

Answer» EN:

Bananas are SOLD at RS. 18 per dozen.

To Find:

The cost of 3 bananas.

Solution:

The cost of 12 (a dozen) bananas = Rs. 18

The cost of 1 banana = Rs. ( 18/12 ) = Rs. 3/2 = Rs. 1.5

The cost of 3 bananas = 3 ( Rs. 1.5 ) = Rs. 4.5

Answer:

The cost of 3 bananas is Rs. 4.5

38.

What is the formula for the arithmetic sequence if the sum of the same sequence is given by ?

Answer»

ong>Step-by-step EXPLANATION:

I hope it will be HELP full for you

39.

(a-b)^2 proof this step by step​

Answer»

ong>Answer:

This is TRUE that each and EVERY equation in mathematics has a solid proof, like that, (a+b)^2=a^2+b^2+2ab also have PROOFS.

40.

*एका रकमेवरील दोन वर्षांचे 10% दराने सरळव्याज व चक्रवाढव्याज यातील फरक 20 रुपये आहे. तर ती रक्कम किती?* 1️⃣ ₹.1002️⃣ ₹ 2003️⃣ ₹. 200004️⃣ ₹ 2000​

Answer» 0 is ANSWER

and yourDp

41.

How many numbers are divisible by 4?​

Answer» ONG>Step-by-step explanation:

4,8,12,16....

any NUMBER is divisible by 4 If the LAST two digits of a whole number are divisible by 4 .

42.

In the following table, is the independent variable.( Deposit/ simple interest/any one of these/ none of these two)1000 2000 3000 4000Deposit ( In Rs)​

Answer» ONG>ANSWER:

TRANSFORMATION of the jangling DISCORDS of the nation

43.

Find all number a for which each of the following equalities hold true?logbase10(a(a+3)=1​

Answer» ONG>Answer:

10(2a+3)=1

13+2a=1

2a=13-1

2a=12

a=12/2

a=6

44.

· 10000, 11000, 9900, 10890, 9801, ?​

Answer» ONG>ANSWER:

can't UNDERSTAND that jghgdhj

45.

Following are some measurements of sides,Check whether they can form a triangle . a) 6,8,12 b) 5,9,3 c) 11,6,6 d) 80,15,60 e) 8,6,10 f) 6,6,6 Give the step by step explanation please yaar it is urgent

Answer»

Steps to check WHETHER they can form a triangle :

  • Use triangle inequality theorm :

  • According to triangle inequality theorm, The sum of the two smaller sides is greater than the third side.

  • If the sum of the smaller sides is not greater then the third side it cannot form a triangle.

  • If the sum of the smaller sides is greater then the third side it can form a triangle.

  • Then, We will GET our answer.

Let's do the given questions now -

a) 6,8,12

b) 5,9,3

c) 11,6,6

d) 80,15,60

e) 8,6,10

f) 6,6,6

Now, As we see -

a) 6,8,12

  • Here, The smaller sides are - 6 & 8

\implies \sf 6 + 8

\implies \sf 14

\sf \implies12 < 14

∴ Hence, 6,8,12 will form a triangle.

b) 5,9,3

  • Here, The smaller sides are - 5 & 3.

\implies \sf 5 + 3

\implies \sf 8

\sf \implies 9 > 8

∴ Hence, 5,9,3 will not form a triangle.

c) 11,6,6

  • Here, The smaller sides are - 6 & 6.

\implies \sf 6 + 6

\implies \sf 12

\sf \implies11< 12

∴ Hence, 11,6,6 will form a triangle.

d) 80,15,60

  • Here, The smaller sides are - 15 & 60.

\implies \sf 15 + 60

\implies \sf 75

\implies \sf 80 > 75

∴ Hence, 80,15,60 will not form a triangle.

e) 8,6,10

  • Here, The smaller sides are - 6 & 8.

\implies \sf 6 + 8

\implies \sf 14

\implies \sf 10 < 14

∴ Hence, 8,6,10 will form a triangle.

f) 6,6,6

  • Here, The smaller sides are - 6 & 6.

\implies \sf 6 + 6

\implies \sf 12

\implies \sf 6 < 12

∴ Hence, 6,6,6 will form a triangle.

46.

AnnualTime : 03:00 hoursQ.1 Fill in the blanks-The sun sets at 5.58​

Answer»

ong>Answer:

all the BEST for your exam my exam is finished or me 10 th me chali GAI

47.

X % of 25 % of 10000 = 325 find x​

Answer»

ong>Answer:

13

Step-by-step explanation:

PLEASE mark it as BRAINLIEST

48.

1+1 = ? anyone answer this silly question?? ​

Answer»

ong>Step-by-step EXPLANATION:

answer of this silly QUESTION is 2

49.

An oil tin contains 3 3/4 litre oil of which 2 1/2 litre of oil is used .How much oil is over left​

Answer»

ong>Step-by-step explanation:

An OIL tin contains 3 3/4 litres of oil of which 2 1/2 liters of oil is used.

To FIND :

How much oil is left over?

Solution:

AMOUNT of oil in a tin = 3 \frac{3}{4}3

4

3

Amount of oil in a tin = \frac{15}{4}

4

15

Amount of oil used =2 \frac{1}{2}2

2

1

Amount of oil used =\frac{5}{2}=

2

5

So, Amount of oil left = \frac{15}{4}-\frac{5}{2}

4

15

2

5

Amount of oil left = \frac{5}{4}

4

5

Amount of oil left =1 \frac{1}{4}=1

4

1

Hence1 \frac{1}{4}1

4

1

liters of oil is left

50.

3) tan 38° x tan ____ =1​

Answer»

ong>Answer:

\huge \mathbb\fcolorbox{blue}{blue}{Answer}

tan38°× TAN 60° = 1

I HOPE this will HELP you