Explore topic-wise InterviewSolutions in Current Affairs.

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1.

13) On Tuesday Shanice bought five hats. OnWednesday half of all the hats that she hadwere destroyed. On Thursday there wereonly 17 left. How many did she have onMonday?

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Answer:

She had had29hats on Monday.

Explanation:

Assuming we have been told about all activities involving Shanice's hats:

Letmrepresent the number of hats Shanice had on Monday.

She bought5hats on Tuesdaywhich would bring the number of hats she had tom+5

Half of her hats were destroyed on Wednesday,so on Thursday she would havem+52hats.

We are told this number equals17

So,(m+5)/2=17

m+5=34

m=29

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2.

73. In the figure. OACB represents a quadrant of circle of radius 3.5 em with centre O. 3Calculate the area of auardrant OACB.Also, calculate the area of shaded portion DACB, if OD < 2 cm also Take π2 cm3.5 cm A

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3.

3) On Tuesday Shanice bought five hats. OnWednesday half of all the hats that she hadwere destroyed. On Thursday there wereonly 17 left. How many did she have onMonday?

Answer»

Answer:

She had had29hats on Monday.

Explanation:

Assuming we have been told about all activities involving Shanice's hats:

Letmrepresent the number of hats Shanice had on Monday.

She bought5hats on Tuesdaywhich would bring the number of hats she had tom+5

Half of her hats were destroyed on Wednesday,so on Thursday she would havem+52hats.

We are told this number equals17

So,(m+5)/2=17

m+5=34

m=29

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4.

पर e 1. 1.1(XVI)a_*.b_*_X = a 3 b % X X# 0, की (8710)

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5.

(xvi) 3(x+6) = 24

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3x+18=243x=24-183x=6x=2is the answer

3(X+6) = 24X+6 24/3X+6 = 8-6X=2X=2 is the correct ans.

3x=6X=2 is the right answer

3(x+6)=24

One solution was found :

x = 2

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*(x+6)-(24)=0

Step by step solution :

Step1:

Equation at the end of step1:

3 • (x + 6) - 24 = 0

Step2:

Step3:

Pulling out like terms :

3.1 Pull out like factors:

3x - 6=3•(x - 2)

Equation at the end of step3:

3 • (x - 2) = 0

Step4:

Equations which are never true:

4.1Solve:3=0

This equation has no solution.A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2Solve:x-2 = 0

Add2 to both sides of the equation:x = 2

One solution was found :

x = 2

2 is the right answer

3x+18=243x=24-183x=6x=2 is the right answer of this question

x=2 is the correct answer

3x+18=243x=24-183x=6x=6 ÷3 =2 is the answer

3(X+6)=24X=2 is the right answer

6.

A1) 4x+3y=18 )Brr2y= 5 ()समीकरण (1) में 3 से तथा समीकरण (2.R, | A S o भर ~ W

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please like my answer if you find it useful

7.

5.From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut andalso a circle of diameter 2 cm is cut as shown in Fig. 12.23. Find the area of the remainingportion of the square.

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8.

(2) 2y + 2 = 2 2 2Niu

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sorry par mai app ki help nahi kar sakthi hu

y= 8 is the correct answer of the given question

y=8 is the correct answer

9.

4Q25: From each of the two op1.4 cm is cut. Another circle of radius 4.2 cm is also cut from the centre as shown in figure. Find theposite corners of a square of side 8 cm, a quadrant of a circle of radiusarea of the shaded portion. I Use π-'71

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10.

From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cmis cut and also a circle of diameter 2 cm is cut as shown in figure. Find thearea of the remaining portion of the square.Ans.

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11.

Fig. 12.23com each corner of a square of side 4 om a quadrant of a circle of radus Ialso a circle of diameter 2 cm is cut as shown in fig. 12.253. Find the area ofcircle of diameter 2 cm is cut as shown in Fig. 12.23ortion of the square.

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thanks

12.

AILare left with Hele the number of stamps ads with Abhay. Use x forwith Abhay are 2 less than thrice theThe number of stampsfrat has. Find a rule to determine the numstamps with Virat.stankdetGivUse x for nu

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let no of stamps with virat be X and Abhay be yhence3x-2=y

13.

3, Mahesh spent 84 % of his income for dailyexpenses. He donated 5% for social causes. Hewas left with 9350 at the end of the month. What(3 marks)was his monthly income?Solution:

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14.

The line 2x+3y 12 meets the x-axis at A andaxis at B. The line through (5, 5) perpendicularAB meets the x- axis , y axis and the AB at Cand E respectively. If O is the origin of coordinatthen the area of OCEB is6.(b) squnits232(a) 23 sq. units

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15.

A big contains 3 red balls and 5 black balls. A ball is drawn at random frorn the bag.What is the probability that the ball drawn is (0) red? (ii) not red?

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16.

2. Write the coordinates of the point, such that the line 5x -3y 18 meets y-axis.

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line meets y axis that is x=0so 5(0)-3y=18y=-6then the coordinates are (0,-6)

17.

x+2y+1=62x - 3y - 12 =12

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X=9y=-2is the best answer

x+2y=6-1=5----(1)×32x-3y=.12+12=24-(2)×23x+6y= 154x-6y=48by adding 7x=63x= 63/7=9putting the value of x in eq1x+2y=59+2y=52y= 5-9= -4y= -4/2= -2

x=9y=-2is the best answer

X=9. y=-2 is the answer of this question

x=9;y=-2 is the best answer

x + 2y + 1 = 6x + 2y = 5. --------(1)

2x - 3y - 12 = 122x - 3y = 24 ------(2)

Subtracting (1) and (2),2x - 3y - 2x - 4y = 24 - 10-2y = 14y = -7And, x = 5 - 2y x = 5 - 2 × -7 = 19 x = 19

18.

raw graph of the equation 3(x + 2y)-2(x + 3y)-3.Also tind the point where the line meets x-axis

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First we simplify the equation

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

3x + 6y - 2x - 6y = 3

x = 3

Intersection with x axis is at x = 3

19.

Solve the following simultaneous equations(i) 2x-3y = 12; 5x + 3y = 9.

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20.

xy-4x+3y-12

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Factorization :xy - 4x + 3y - 12x(y - 4) + 3 ( y -4)(x + 3) ( y - 4)

21.

LLLLLL8. Sum of two integers is -30. If one of them is 15,find the other integer.

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x+15= -30x= -30-15x= -45

Let the other integer be x,

Sum of that integers = -30

15 + x = -30

x = -30 -15

x = -45

Hence, other integer is -45

the answer of your question is -45

Given,Sum of two integers = -30,One number = 15,Other number = -30-15, = -45.

22.

3.Find the equation of the line which passess through the point (5,6) and makes inter epaon the axes which are equal in magnitude but opposite in sign

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23.

ORA bag contain 5 black and o red balls Detwrnine the no of ways inwhich 2 black and 3 red halis con be selored.P.T0.

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Total number of black ball =5

Total number of red ball =6

No of ways of selecting 2 black balls =5C2

⇒5!/2!3!

⇒5×4×3!/2×3!

⇒10⇒10

No of ways of selecting 3 red balls =6C3

⇒6!/3!3!

⇒6×5×4×3!/3×2×3!

⇒20

Total no of ways of selecting 2 black and 3 red ball =10×20

= 200

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24.

7. In how many ways four men and three women may sit around a round table if all the women aretogether?

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25.

centre (0, 2) and radius 2

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26.

4. There were three candidates in an election. They received 687905 votes, 495093756 votes respectively. The number of invalid votes was 13849. If 25467 pesvote. find how many votes were registered.

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27.

ira,ßarethe zeroes ofr,px +q,find the value of(+2)(+2)

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28.

LLLLLL LLLLLLLL4. There were three candidates in an election. They received 687905 votes, 495000ey. I ne number of invalid votes was 13849. If 25467 persons did notvote. find how many votes were registered.

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29.

2 o 1)न.| 3f2f® A1 ol

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30.

lfanBC ~ ΔΡΟR and AB: PQ 2:3, then fill in the blanks.A(Δ ABC) AB: 22ira ABC-A POR. A ( Δ ABC)-80. A (A POR) 125, then fill inangles

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31.

29. What is the product of the complex numbers (-3f +4)and (3f + 4)?A. 1B. 7C. 25E. 7+ 241

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(4+3i)(4-3i) =(4)^2-(3i)^2=16-9i^2=16+9=25

32.

Represent -2/11 , -5/11 , -9/11 on the number line

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Answer is this pic

Answer is this pic

Ikshu is right.

33.

\frac { - 9 } { 11 } \div \frac { 5 } { 16 } = \frac { 5 } { 16 } \div \frac { - 9 } { 11 }

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34.

3÷11 × 9÷7 +9÷3 × 11÷3 +4÷3 - 3÷11

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12.411255411 is the answer

12.4112554113 is the answer for this question

12.411255411 is the answer

35.

\frac { 9 } { 11 } - \frac { 5 } { 11 }

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d) ( 9/11)-(5/11)=4/11

36.

If 1 + 9 + 11 = 1, Then what is the value of12 + 11 + 9 = ?

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10 asEquation 1 + 9 + 11 = 1 can be derived fromOne (o) + nine (n) + eleven (e) = one = 1

Similarly for equation,12 + 11 + 9 Twelve (t) + eleven (e) + nine (n) = ten (10)

37.

1 \frac { 9 } { 11 } - \frac { 5 } { 11 }

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38.

There are 500 children in a school. For a P.T. drill they have to stand in such aanner that the number of rows is equal to number of columns. How manychildren would be out in this arrangement

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39.

There are 500 children in a school. For a P.T. drill they have to stand in such a mannerhat the number of rows is equal to number of columns. How maut in this arrangement?any children would be left

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let the students in a row be x

the column are equal to number of row=x*x=x square

total students=500

students that would be left out = 500-x square(nearest square)

=500-484

=16 students

40.

।2।28. 9-8-5x0-6 +5-3 का मान क्या होगा?(1) 11-9 (2) 10-90 (3) 10:98(4) 10:99

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9 - 8.5 * 0.6 ÷ 5 + 3

= 9 - 8.5 *.12 + 3

= 9 - 1.02 + 3

= 12 - 1.02

= 10.98

(3) is correct option

41.

11 10 99 10 1112 13 14BSEB. 2017 A

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A+B = (20 20 20 20 20 20)please like the solution 👍 ✔️👍✔️

42.

11!-10!/9!

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43.

\frac { 11 ! - 10 ! } { 9 ! }

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(11!-10!)/9!=(11×10×9!-10×9!)/9!=11×10-10=110-10=100

44.

of all two digit natural numbers which whens a right triangle, right angled at C and D is thedivided by 3 yield 1 as remainder.16.) In Fig.1, ABCmid-point of BC. Prove that ABAD-3AC17. Point P divides the line segment joining the pointsA(2, 1) and B(5,-8) such that AP =豆. If P lies on the line 2x-y+k0, find the mnAB 3

Answer»

ABC is a right angled at B and D is the midpoint of BC.

In ∆ABD

AD²= AB²+BD²…………(1)[By Pythagoras theorem]

In ∆ ABCAC²= AB²+BC²…………(2)

From equation (1)

AD²= AB²+ (BC/2)²[D is the midpoint of BC]

4AD²= 4AB²+ BC²BC²= 4AD²-4AB²…………….(3)Using the value of BC² in eq. 2

AC²=AB²+4AD²-4AB²

AC²=AB²-4AB+4AD²AC²= 4AD²-3AB²

45.

in 2 years ?1. At what rate per cent will a sum of 4,00as compound interest inyield 1,324 as compound in3 years ?

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5. is the correct answer of the given question

46.

Construct a line segment OP=7cm and divide it in the ratio 3 :5.

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Let ratio be xSo, parts are 3x and 5xAccording to question,3x + 5x = 78x = 7x = 7/8 = 0.875So, parts are 3 × 0.875 = 2.625 cm and 5 × 0.875 = 4.375 cm.So, draw two parts 2.625 cm and 4.375 cm

47.

7. Complete each one of the following magic square192numbers a, b, c, is it true that (a + b) + c = a + C DCollowing magic squares by supplying the missing numbers.(11) 16 215,1018 /(iii)29151216(iv)18 17 414 111016Write (Tifo

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In a magic square, the sum of each row is equal to the sum of each column and the sum of each main diagonal. By using this concept, we have:(i) 4 9 2 3 5 7 8 1 6

(ii) 16 2 12 6 10 14 8 18 4

(iii) 2 15 16 5 9 12 11 6 13 8 7 10 14 3 4 17

(iv) 7 18 17 4 8 13 14 11 12 9 10 15 19 6 5 16

48.

Write the first four square numbers.

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49.

Write the first four square numbers

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50.

¢ शी _QuantlionN Ceriidn dum 0 %fiomy A eon diided sinde ¥Tl an e ; ko 5V पु He | put P(rd i T 252the एप amount 150}\ B ०0. ।.... . _ 1, | () +he >

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Let 5:8 be = 5x and 8x5x =2501x =250/58x=250/5*88x =4008x+5x =250+40013x=650Ans=650