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.

13. A's income is 25% more than B's. By whatper cent is B's income less than A'sincome?

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2.

Riya's income is 60 % more than that of Babita. By what percent is Babita's income less than Riya's income?

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Suppose Babita income is 100 and Riya is 160hence Babita income is 100-62.5 =37.5 less than Riya

sorry wrong answer

3.

If(x + l, y-2) = (3, l) find the values of x and y

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x+1=3 and y-2=1x=3-1 and y=1+2x=2. and y=3

(x+1)=3 (y-2)=1

then x=2. andy=3

4.

l. Find the gain when

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Gain=SP-CP=₹510-₹450=₹60

5.

L. Find the area of the triangle whose verticesareifir folowing find the value of 'k', for which

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6.

Find the value ofso thatl~ .Find the value of x so that 3x+ 3:3::7x-1:5.

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7.

13. PQRS is a quadrilateral and O is a point inside it (other than the point of intersection of thediagonals). Prove that (OP +OQ+OR+ OS)(PR+QS).

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8.

hem get16. If Rashmi's income is 60% more than that of Shalu, what per cent is Shalu'sincome less than the Rashmi's income ?

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9.

14. In the given figure, ABCD is a square and PisPD. Prove thata point inside it such that PBCPA is a straight line.

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Thank you

10.

48+[25-{20-(10-16÷2×4)}]

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+(25-(20-(10-16/2*4)))

Final result :

31

Step by step solution :

Step1:

8 Simplify — 1

Equation at the end of step1:

48 + (25 - (20 - (10 - (8 • 4))))

Step2:

Final result : 31

48+(25-(20-(10-16/2*4)))

Final result :

31

Step by step solution :

Step1:

8 Simplify — 1

Equation at the end of step1:

48 + (25 - (20 - (10 - (8 • 4))))

Step2:

Final result :

31

Processing ends successfully

11.

If you add 5 to one-third of z, you get 35

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5+(1/3)Z=35

(1/3)Z=35-5 =30Z=30×3=90

Equation: z/3 +5= 35.

Solution:z/3 +5= 35=> z/3= 30=>z=90

12.

In a figure AB is 20 m its shadows on the ground is 20 m find the suns altitude

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13.

55珉'BROTHER'酎2456784 fra at? 'SISTER'919684, 'ROBBERQ55. If BROTHER is coded as 2456784, SISTERis coded as 919684 what is the code forROBBERS?1. 18, 15, 22, 5, 18, 193. 92457842 45626844522849

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answer is 4522829 by matching the numbers which denote the letters given in the question

14.

A pole is 273 m high. It shadows length is2m. Then what will be the angle of elevationof light source.

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pole is 2V3, length=2m:;2V3/2=V3 = tan60

15.

12 715 151 211233is room. His sister Madhavi hdid they paint together?

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16.

. ABCD is a trapezium in which AB Il DC. IfZA-4-40°, what are the measures of the other twoangles?

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Here the base angles are equal

So quadrilateral abcd is isosceles trapezium

angle a = angle b

angle sum property of quadangle a+ angle b+ angle c+ angle d=360

x+x+80=360

2x=280

x=140

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17.

The diagonal of trapuium ABCD withAB||DC intersect each other at Point- O If AB=2CD then find the ratio of area of ADB and COD.

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18.

l Find(a) 35- (20)we get a

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35-(20)=35-20=1515 is answer

19.

Rakesh income is 25% more than that of Rohan's income.what percent is Rohan's income less than Rakesh income?

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Let us assume B's Salary is Rs. 100. Then,A's Salary = (100 + 25% of 100) = Rs. 125.Difference between A's & B's Salary = 125 - 100 = Rs. 25.Hence, % difference (lower) = (25/125)*100 = 20%

20.

In the quad. ABCD, O is a point inside it. Provethat OA +OB + OC+OD >AC + BD.

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21.

10. Diagonals AC and BD of a trapezium ABCD with AB | DC intersect each other atO.Prove that ar (AOD)- ar (BOC).

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22.

rs. Find12.present agesA number is such that if you multiply it by5and add 7 to the product, you get 35the number13.2

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Let the number be x.

Given, 3 / 5 * x = 3 / 5 x

3 / 5 x + 4 / 7 = 21 x + 20 / 35 = - 2 / 35

21 x + 20 = - 2 21 x = - 22

x = -22 / 21.

23.

Which of the following is the greatest?(a) 0.3 (b) (c) 3% (d) 1 : 5To get 35% of a number, the number should bemultiplied by20(b) 3.3 (c)(d)0.03550

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24.

Twice a number is added to the number, giving90. Find the number

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Let the number be xTwice the number be 2xAccording to the given condition,x + 2x = 903x = 90x = 90÷3x = 30Therefore, the number is 30.

let the no be X2x + X= 90= 3x = 90=. 3x = 90= X = 30/3 = 30henre req no = 30

X+2x= 903x=90X=30

30 is right answer

25.

(225% %225(225)°% x(225)*2

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[ (225)^0.2 * (225)^0.3 ] / [ (225)^0.8 * (225)^0.2]=[ (225)^(0.2+0.3)] / (225)^(0.8+0.2)= [225^0.5]/[225]= 1/[225^0.5]= 1/15.

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26.

(UJ 4The zeroes of the polynomial x2 +2x +1are

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x^2+2x+1=0; x^2 + 1x + 1x +1=0; x( x+1) +1 ( x+ 1)=0; ( x + 1 )( x + 1); x = -1 & -1

let p and q be zeros sum of zeros = -2product of zeros = 1x^2+2x+1=0(x+1)^2=0(x+1)(x+1)=0x+1=0x= -1x+1=0 , x= -1-1 & -1 are zeros

27.

PIU VWUJ54535-15 is irrational5.showthatchonthat

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To prove;5-4√3 is irrational

Let 5-4√3 be a rational number.

Thus5-4√3= a/b where a and b are co primes-4√3=(a/b)-5-4√3=(a-5b)/b(a-5b)/(-4b)=√3Here ,(a-5b)/(-4b) is rational but √3 is Irrational

But our contradiction is wrong thus 5-4√3 is irrational

explain in detail pls

28.

kmIn a 3000 metres race people run

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29.

12.Mr. Fanthom runs 100 metres in 12 second and his sister Keeler takes 15second to run the same distance. Compare their performance.

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speed of Fanthom = 100/12 = 8.34 m/s

speed of Keeler= 100/15 = 6.67m/s

hence, Mr. Fanthom is (8.34 - 6.67) = 1.67m/s faster than Keeler.

30.

mes.15 is subtracted from three times a number, the result is 16. Find the number.

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Let the required number be 'x'. Then, 5 subtracted from 3 times x = 3x−-5.⇒ 3x−-5 = 16Adding 5 to both sides, we get⇒ 3x−-5 + 5 = 16 + 5 ⇒ 3x= 21Dividing both sides by 3, we get⇒3x3=2133x3=213⇒ x =7Thus, the required number is 7.

31.

7. Rakesh thought of a number, tripled it and added 15 to it, the result wasthe number

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The answer is 15 because

15×3=4545+15=60

32.

2.Write the similarity criterion by which the given pair of triangles are similarevoO25

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33.

5.Diagonals AC and BD of a trapezium ABCD with AB|IDC intersect eachher at the point O. Using a similarity criterion for two triangles, showOA OBthatO3

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34.

DiagonalsAC and BD of a trapezium ABCDwith AB || DC intersect each other at thepoint O. Using a similarity criterion for twotriangles, show that2.OA OBOC OD

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35.

Diagonals AC and BD of a trapezium ABCDwith AB Il DC intersect each other at thepoint O. Using a similarity criterion for two3.OA OBtriangles, show that oOD

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36.

12. If a number is doubled and the result isincreased by 15, we get 35. What is the number?

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let the no. be x

Acc. to ques.-

2x + 15 = 35=> 2x = 35-15=> 2x = 20=> x = 20/2 = 10x = 10

37.

EXERCISE81. The sum of three times a number and 15 is 42. Find the numberfmm twice a number, the result is 19. Find the

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Let x be the required number.

3x + 15 = 42

3x = 42 - 15

= 27

x = 27/3

= 9

Therefore, the required number is 9.

38.

10. A branded towel is available for500 Raman bought it with 5% GST; later he sold it to his friend for550.Find his gain or loss.

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price = 500+5*500/100 = 500+25 = 525

profit = 550-525 = 25 rupees

39.

0. What is the percentage change when:(i) 25 is increased to 45

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40.

g ) Iso celesName each of the following triangles in two different ways you may judge thenature of the angle by observation)5cm15cm10 cm5.2 cm15 cm10 cm5.2 cm10 cm

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a) Isosceles and Acute angledb) Scalene and Right angledc) Isosceles and obtuse angledd) Isosceles and Right anglede) Equilateral and Acute angledf) Scalene and Obtuse angled.

(a) isosceles triangle(b) scalene triangle(c) isosceles triangle(d) isosceles triangle(e) equilateral triangle(f) scalene triangle

a) Isosceles and Acute angle b) Scalene and Right anglec ) Isosceles and obtuse angle d) Isosceles and Right anglee) Equilateral and Acute anglef) Scalene and Obtuse angleis the best answer

41.

(a) 2UJ225 #1413. 10+ 25 + 108 + 154 +(a) 10(b) 8(c) 6(d) 4

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42.

(a) 98127. 13: 25:: 48:?(a) 95(b) 97(c) 109(d) 105

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Let the proportion be 13:25 :: 48 : x=> 13*x = 25 * 48=> x = (25*48)/13=> x = (1200)/13NONE OF THE OPTIONS ARE CORRECT.

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43.

What is the percentage change wh(i) 25 is increased to 45(ii) 64 is increased to 144

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Percentage change = 45-25/25= 80 percentage

2)144-64/64*100125 percentage

44.

7. A boy can run 49 metres in 6.3 seconds. Howfar can he run in 4.5 seconds ?

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velocity×time=distance velocity= distance/time= 49/6.3=7/0.9 = 70/9 m/s In 4.5 secs,distance= vel×time =70/9 ×4.5 =70×0.5 =35 m

45.

し1. Aminathinks of a number and subtracts from it. She multiplies the result2by 8.Theresult now obtained is 3 times the same number she thought of. What is the number?

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very fast answers

46.

How many hours will it take to travel 336 km at a speed of 48 km per hour?

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47.

22.au

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48.

10. Benny thinksofnumbersubtracts 18 from it and divides the difference by 3. The result isa4. What isthe number?11. Mr. Grover is three times as old as his son and the sum of their ages is 48. How old is each?

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49.

9·The sum of two fractions is 61. If one the fractions is 23,find the other

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50.

EXERCISE 6.3Which pairs of triangles in Fig.6.34 are similar. Write the similarity criterion answering the question and also write the pairs of similar triangles i

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