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.

4(1) Write the symbolic statements in words for 쥰eQ.

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Statement4/3 belongs to set of rational number

2.

Find the solutions of pair of linear equations4x+5y + 13 and 2x -2y 2

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4x+5y+13=02x-2y-2=0... multiply with 2

4x+5y+13=04x-4y-4=0

Subtract

9y+17=0y=-17/9

2x-2y=2x-y=1x=1/y=1-17/9=9-17/9=-8/9

3.

Find the solutions of pair of linear equations :-4x+5y + 13 and 2x-2y = 2OR

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4x+5y= -13 (equation 1)

2x-2y= 2 ( equation 2)

Multiply equation 2 by 2

4x-4y= 44x+5y= -13Solve both the equationy= -9substitute value of y in equation 22x-2(-9) = 22x +18 = 22x = -16x= -8

can't understand the question

4.

Each of theelement isDviv is a colour in the rainbowP = {xix is an integer and.-3M={1,8, 27, 64, 125.......)at elementmore thanPractice set 1.11 elementy of the(1) Write the following sets in roster form.(1) Set of even natural numbers (ii) Set of even prime(iii) Set of negative integers (iv) Seven basic sounds of(2) Write the following symbolic statements in words.(1) EQ (1)-2 &N (iii) P = p I piser such

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1.{2,4,6,8,10...........}2.{2}3.{-1,-2,-3,-4...................}4.{sa,re,ga,ma,pa,dha,ni,sa}

i) 2, 4, 6, 8, 10, 12,,,,, ii)2 iii)-1, -2, -3, -4, -5

1) {2,4,6,8,10,12,...........}2) {2}3) {-1, -2, -3,-4, -5,..........}4) {sa, re, ga, ma, pa, dha, ni, sa}

5.

(8)Find the symbolic form of the following switching circuit. Construct its switching table and interpret it.(March 2014) (2 marks)

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or gate and gate is the right answer

switch are parrallel......

or gate and gate is the correct answer

OR gate and AND gate is the right answer

6.

5 If is tims of some sige contain234 kg of oil. how muchLoil will be there in 10 such tims?

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right answer is 156kg

156 Kg is the correct answer

1. 234/152. =15.63. 15.6 * 10=156 is the final answer

firstly 234/15=15.615.6*10= and the and is 156

Right answer is 156kg

7.

Triangles ineachof the following pairs are congruent by SSS congruence rule. Writethe congruence of each pair in symbolic form.

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8.

usdand (1, 13) is 10, find the value of x.Find the values ofy for which the distance between the points P(2,-3) and Q(10, y) is 10units.3 Find tho

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9.

23. The mean and standard deviation of 100observations were calculated as 40 and 5.1respectively by a student who took by mistake!50 instead of 40 for one observation, what arethe correct mean and standard deviation?

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10.

23.The co-efficient of variation and standard deviation are 60 and 21 respectively. What is thearithmetic mean of the distributiorn

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11.

( i v ) - 3 x ^ 2 = ( 2 - x ) ( 3 x - \frac 1 2 )

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-3x²=(2-x)(3x-1/2)-3x²=6x-1-3x²+x/26x+x/2-1=013x/2=1x=2/13

12.

Find the relation between x and y.If the distance between A(10, 8) and B(a, 2) is 10, find a.6.

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13.

(10-10)Findtheanswerto-100

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0 is the correct answer of this question

the answer is not defined as there is 0 in denominator

the answer is not defined as denominator has zero in it

0 is the correct answer

0 is the correct answer

zero is the right answer

0 is the beat answer

(10-10)÷(100-100)=(0)÷(0-0) = cannot define bcz infinity number

(10-10)÷(100-100)=(0)÷(0)=can't define bcz denominators zero

0 is the best answer

10-10/100-100=0/0=0 it can,t be said

0 is correct answer.

1/20 or not defined is the correct answer

14.

Find the value of a if a + 10, 3a +10, 5a -10 and 3a - 10 are the angles of aquadrilateral. Also find the measure of each angle.

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15.

the product of the zeros of a quadratic equation is

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ax²+bx+c is standard quadratic equationproduct of zeroes is equal to c/a

it's wrong answer will be 1,5,-1,-5

16.

10. A bought an article for Rs.1900 and sold it to B at a profit of 5%, B sold itto Cataprofit of 10%. Find the money paid by C to B.no t nnd sells 8 for Rs.10. Find his loss or gain

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17.

Rajat purchases a wrist watch costing ₹540 The rate of sale tax is 8% find the total amount paid by Rajat for the watch

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C.P= Rs.540Sales tax=8%Money paid by him (inclusive of tax)=540+540×8/100 =540+43.2 =583.2

540 × 8/100

= 43.2

The total amount = 540 + 43.2

= 583.2 rps

18.

Manas bought a watch costing1 ,650. If the amount includes 10%Sale Tax on the list price, find the listprice of the watch:

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it will be100/110*1650= 1500 rupeesas we have to deduct the sales taxlist price + 10 percentage sales tax = 1650

19.

- The number of values of k for which thelinear equations 4x + ky +2 z=0,kx + 4y + z=0 and 2 x +2y+z=0 posses anon-zero solution, is[AIEEE 2011](a) 2 (b) 1 (0) 0 (d) 3

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The signs have not been placed at the correct place. The correct equations would be 4x + ky+ 2z = 0;kx + 4y + z = 0;2x + 2y + z = 0.Now, for the system of equations to possess a non -zero solution, the value of the determinant should be zero.Hence, D = 0 gives, [4(4-2) – k(k-2) + 2(2k-8)]Hence, we have (16 – 8 – k2 + 2k + 4k – 16) = 0This gives -k2 + 6k -8 = 0Hence, k = 4, 2.The given system has a non-zero solution for two values of k.

20.

la#0,b#0,z# 0,z # (a

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21.

\int_{0}^{1} \int_{0}^{1} \int_{0}^{1} e^{x+y+z} d x d y d z

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22.

I. In the adjoining figure, ABCD is aparallelogram in which LA -72°. CalculateLB, ZC and LD72°

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23.

0 = s - x z %2B _ z x ( z )

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x^2+2x-5=0

The form for a perfect square isa^2+2ab+b^2=(a+b)^2.

x^2+2x−5=0.

Add5to both sides of the equation.

x^2+2x=5

Divide the coefficient of thexvalue by2, then square the result.

2/2=1;1^2=1

Add the result to both sides.

x^2+2x+1=5+1=

x^2+2x+1=6

The left side is now a perfect square trinomial.

x^2+2x+1=(x+1)^2

(x+1)^2=6

Take the square root on both sides.

x+1=±√6

Subtract1from both sides.

x=√6−1

x=−√6−1

24.

In the adjoining figure, ABCD is aparallelogram in which LA-72°. CalculateZB, ZC and LD

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25.

A shopkeeper sold a wrist watch for 990 gaining aand his profit percent.of its cost price. Find the cost price of the wrist watch8

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Given :

Selling price of wrist watch = ₹ 990

Gaining 1/8 of its cost price.

To find :- (i) Cost Price of wrist watch. (ii) Profit percent of wrist watch.

Let the cost price of wrist watch be x

A/q

=> x + 1/8 of x = 990=> x + 0.125 × x = 990=> 1.125x = 990=> x = 990/1.125 = 880

Therefore, Cost price of watch = ₹ 880And Profit = 1/8 of x = 1/8 × 880 = ₹ 110

Now,

Find the profit percent of wrist watch :-

Profit % = (profit × 100)/C.P %= (110 × 100)/880 %= 11000/880 %= 12.5 %

Hence,(i) The cost price of wrist watch is ₹ 880.(ii) Profit percent of wrist watch is 12.5 %.

26.

A shopkeeper sold a wrist watch forand his profit percent.20.990 gaining 8 of its cost price. Find the cost price of the wrist watch

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27.

th Fig. 7.49,4B<LA and ZC<4D. Show thatAD<BC

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28.

2 tan 30° -I tanŽ 302

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29.

-mial & " + x3 = 342find all the Zeres of the Poly no mial & +x4x +120, if two of its reves are2 and -2 [ CBSE-2008)V32

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30.

fa) If the product of the zeros of the polyno-mial ax2 - 6x - 6 is 4, find value of 'a'.

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-3/2 is the correct answer of the given question

-6/a=4; a=-6/4; a=3/2

ax^2-6x-6=ax^2-3x+2x-6=x(ax-3)+2(x-3)=(x-3)(ax+3); x=3 ; -6/a=4; a=-6/4=-3/2

31.

EXERCISE 4.1mpl1. The cost of a notebook is twice the cost of a pen. Write a linear equationntivariables to represent this statement.1(Take the cost of a notebook to be x and that of a pen to be F y).V le- and indich h

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Let the cost of a notebook = Rs xThe cost of a pen = yAccording to the condition, we have[Cost of a notebook] = 2 × [Cost of a pen]i.e.[x] = 2 × [Y]orx = 2yorx – 2y = 0Thus, the required linear equation is × – 2y = 0.

32.

one zero of the quadratic polynofind the value of k.mial f(x) = 4x2kr-9 is negative of the other,

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thank frnd

33.

mial, the sum of whose zeros is(and theirFind the quadratic polynoproduct is 1. Hence, find the zeros of the polynomial.2

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34.

A poultry farm produces 1265, 2182 and 2398 eggs on Monday, Tuesday andWednesday, How many eggs were produced in all the three days

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35.

9. Two tankers contain 850 litres and 680 litres of petrol respectively. Find the maximum capacity of acontainer which can measure the petrol of each tanker exactly

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The capacity of required container will be obtained by finding the HCF of the capacity of tankers -

850 = 2×5×5×17

680 = 2×2×2×5×17

Common factors of 850 and 680 = {2,5,17}

HCF = 2×5×17= 170

Answer:- The container which can measure petrol of either tank exactly must be of 170 litres.

36.

lu) L.US, 1.08, 1.89, 1.90, 1.98If a -1, b 3, x 6, y 1 and z 0,

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a = -1 , b = 3, y = 1 and z = 0

2ab - xyz

2 × (-1) × (3) - 6 × 1 × 0

-6

d) option is correct.

Please hit like if find useful.

37.

a.Twotankerscontain 850 litres and 680 litres of petrol respectively. Find the maximum capacity of acontainer which can measure the petrol of each tanker exactly

Answer»

The capacity of required container will be obtained by finding the HCF of the capacity of tankers -

850 = 2×5×5×17

680 = 2×2×2×5×17

Common factors of 850 and 680 = {2,5,17}

HCF = 2×5×17= 170

Answer) The container which can measure petrol of either tank exactly must be of 170 litres.

Secondary School

Math

30 points

Two tankers contain 850 litres and 680 litres of petrol respectively. Find the max. capacity of a container, which can measure the petrol of either tanker in exact number of litres

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byAyushKhurana26.05.2017

Answers

zerodown1024

The capacity of required container will be obtained by finding the HCF of the capacity of tankers -

850 = 2×5×5×17

680 = 2×2×2×5×17

Common factors of 850 and 680 = {2,5,17}

HCF = 2×5×17= 170

Answer) The container which can measure petrol of either tank exactly must be of 170 litres

Solution :-here, given

Capacity of the 1st tank = 850 litres.

Capacity of the 2nd tank = 680 litres.

Therefore, the max. capacity of a container, which can measure the petrol of either tanker in exact number of litres = HCF OF 850 and 680.

HCF of 850 and 680 is

850 = 2x5x5x17

680 = 2x2x2x5x17

Therefore,HCF = 2x5x17 = 170

So, The maximum capacity of the container is 170 litres.

38.

Three tankers contain 403 liters1434 liters and 465 liters of maximumdiset drespective thy. Find morumI capacity of a o container thatcan Omeasure the disel of thethree containers enact number oftime.

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8e585wus5ua4lrayryut5idid6yiiyfiy itdiydiyfjc

39.

185551 Two tanks contain 504 and 735 litres of milk respectively. Find the maximum capacity of a container whichcan measure the milk of either tank an exact number of timeshtmethen tove that the two numbers

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40.

BESUO18555. Two tanks contain 504 and 735 litres of milk respectively. Find the maximum capacity of a container whichcan measure the milk of either tank an exact number of times.then prove that the two numbers

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41.

10.Letf:RRbe defined by f(x) = 3x2 - 5 and g: RRby g(x) =Then gofis

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42.

. Check whether the relation R in R defined by R [(a, b) asbsymmetric or transitive.

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43.

, Solve the following questions s (Any One)(1) In △ABC, ACB is an obtuseangle. Seg AD i line BC, thenshow that : AB2=BC2 + AC2 +2BC-CD,

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44.

i Solve the following questions : (Any One)(1) In △ABC,ACB is an obtuseangle. Seg AD 1 line BC, thenshow that : AB2 BC + AC2+2BC CD.

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45.

r(2, 4,6 leEXERCISE 1.1whether each of the following relations are reflexive, symmetrnic andtransitive(i) Relation R in the set A = { 1, 2, 3,* 13, 14} defined asers defined asR = {(x,y) : 3x-y-o}

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1

2

3

46.

\sqrt [ 3 ] { 0.012167 } \times \sqrt [ 3 ] { \frac { 1 } { 1000 } } =

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³√0.012167× ³√1/1000= 23/100 × 1/10= 23/1000= 0.023

47.

In a parallelogram ABCD, AB 2BC, AD is produced both ways so that AM ADShow that BN is perpendicular to CMDN

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how AP = PB = BC????

48.

P is the mid-point of the side AB of a parallelogram ABCD. A line through B parallel toPD meets DC at Q and AD produced at R. Prove that AR = 2BC and BR = 2BQ.

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In triangle ABR, P is the mid point of AB and DP is parallel to BR (by question).Thus D is the mid point of AR.

So we have AR = 2 AD = 2 BC ( since in parallelogram ABCD opp. sides AD = BC) (1)

Again in triangle ABR, since BR is parallel to DP (or, since Trangles ABR and ADP are similar)

we have BR /DP = AB/DP = 2 ( since P is the mid pt. of AB)

Therefore BR = 2 DP = 2 BQ ( since PBQR is a parallelogram. Fot DQ is parralel to AB and BQ is drawn parallel to PD)

49.

Factoriesa^2–b^2 +2bc–c^2

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50.

1) 12If a=log24 12, b-log36 24, c-log836 , then 1 + abc-1) 12) LU6.2) 2a3) 2bc

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Option (3) is correct.