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.

2. A matrix of certain charactersis given below. These charactersfollow a certain trend row-wiseor column-wise:72 24 696 16 12108 ? 18The missing character is(A) 12(B) 16(C) 18(D) 20

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2.

Which of the following are APs ? If they form an AP, find the common difference d andrite three more terms.5 3 71) 2,4, 8, 16,...(iv) 10,-6,-2,2,(vi) 0.2,0.22,0.222, 0.2222,.(viii)テテテテ(v) 3, 3+2, 3+2/2, 3+3/2, ..2 2' 2 2

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3.

5. The missing number in the followingfigure will be123) (10) 10) (16 46)10

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the missing no. is 8

4.

10. Find the missing number, if a certain rule isfollowed row-wise or column-wise.(A) 4(B) 8(C) 12(D) 1664120 126 320

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the missing number is 4

5.

(4*(y*z(z^2 %2B 6*z - 16)))/((2*y(z %2B 8)))

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4yz(z^2 + 6z - 16) ÷ 2y(z + 8)

= 4yz(z^2 + 8z - 2z - 16)/ 2y(z + 8)

= z(z(z + 8) - 2(z + 8))/ (z + 8)

= z(z + 8)(z - 2)/ (z + 8)

= z(z - 2)

6.

2 ^ { x } = 3 ^ { y } = 6 ^ { - z } , \text { show that } : \frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = 0

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7.

Find the values of x, y and z from the following equations:xty 26 25 8||=15x+zy +z(iii)

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8.

x-(b-x)-b+(x-b)

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3x-b is the correct answer

3x-b is the best answer

3x-b is the answer🏆

3x-b is the simplified form of equation

9.

tangent secant segment statement

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Point E is in the exterior of a circle. A secant through E intersect the circle at point A and B and a tangent E touches the circle at point T, then EA×EB=ET²

10.

Exercise 6.2ln a triangle ABC, if <A =55 and <B=40 find <c

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Sum of angles in a triangle is 180 degree.soA + 55 + 40 = 180A = 180 -95A = 85°

11.

Q. 7. In the figure given below, PTX is atangent and PAB is a secant to the circle. If PT6 cm, AB-5 cm and PA-x cm, and PA- cm,then the value of x is:

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Please post the figure of the question

12.

3.A straight line which passes through two points on a circle is(A)a chord(B) a secant(C)a tangent(D) the radius

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option a) a chord is the correct answer

13.

The difference of the digits of a 2-digit number is 1. Five times the sum of the digits plusone is equal to the number. Find the number.

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Two digits, a, bthen10a + b = the number:"the difference of digits of two digit number is 1."a - b = 1:"five times the sum of the number plus one is equal to the number."5(a+b) + 1 = 10a + b5a + 5b + 1 = 10a + b5a - 10a + 5b - b = -1-5a + 4b = -1:Use substitution here, multiply the 1st equation by 4, add to the 2nd eq+4a - 4b = 4-5a + 4b = -1

addition eliminates b, find a-a = 3a = -3find b-3 - b = 1-b = 1 + 3-b = 4b = -4:The number-3(10) + (-4) = -34 is the number::Usually not a neg answer in these problems, see if this works in the statement:"five times the sum of the number plus one is equal to the number."5(-3 + (-4)) + 1 = -345(-7) + 1 = -34-35 + 1 = -34; confirms our solution of -34

14.

) Which of the following is not true? If'aand 'b' are two integers(G) a - b is an integer(ii) a x (-b) - (-a) x b(iii) a-b b-a(iv) (-a) x b--(ax b)

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iii) is not correct as integer are not commutative.like take a= 2 , b= -32-(-3) = 5-3-2 = -5

15.

x + b / a - b = x - b / a + b

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16.

z)Evaluate 7 x 32 + 5 x 43 6 x 26

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7 × 9 + 5 × 64 - 6 × 64 = 63 - 64 = -1.

17.

solve x,root(8^0 + 2/3) = (3/5)^2-3x?

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root(8^0 + 2/3) = (3/5)^2-3x

(1 + 2/3)^1/2 = (5/3)^3x-2

(5/3)^1/2 = (5/3)^3x-2

1/2 = 3x - 2

3x = 1/2 + 2 = 5/2

x = 5/6

18.

x^{2}=\frac{1}{x^{2}}+1 \text { then } x^{2}+\frac{1}{x^{2}}5+=root5root 30

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x²= 1/x²+1 => x²-1/x² = 1=> (x²-1/x²)² = 1²=> x⁴+1/x⁴ -2 = 1=> x⁴+1/x⁴ = 3adding 2 on both the sides=> x⁴+1/x⁴ +2 = 3+2 = 5=> (x²+1/x²)² = 5=> (x²+1/x²) = ±√5

option 2

19.

root of x cube -2x-5

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root is 2.0944 correct upto three decimal places ..

2.094 is the best answer

root is 2.0944 correct answer up to three decimal places

x= 2.0944 is the best answer🏆🏆🏆

2.0944 is crrct answer of ur question 💥

2.0944 is a correct answer

good is 2.0944 is right answer of this question. please like my answer.

2.0944 is the right answer

20.

4.The volume of a cube is 1000 cm3. Find the length of the side of the cube.

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Since we know that VOLUME(of a cube)=(side)³

let side be of length x then

x³=1000

∛1000=x=10cm

21.

(i) the root of 3x - 5 = 7 is x = 4

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3x-5=7=x=43×4-5=712-5=77=7

3x-5=7=x=43×4-5=712-5=77=7 answer of this question

3x-5=7

One solution was found :

x = 4

Rearrange:

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

3*x-5-(7)=0

Step by step solution :

Step1:

Pulling out like terms :

1.1 Pull out like factors:

3x - 12=3•(x - 4)

Equation at the end of step1:

Step2:

Equations which are never true:

2.1Solve:3=0

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

Solving a Single Variable Equation:

2.2Solve:x-4 = 0

Add4 to both sides of the equation:x = 4

One solution was found :

x = 4

3×4-5=712-5=77=7correct answer for this question

3x-5=7x=43×4-5=712-5=77=7 ans

7 is the best answer

3x-5=7x=43*4-5=712-5=77=7

22.

\begin { equation } \begin{array}{l}{5 x-y+4 z=5} \\ {2 x+3 y+5 z=2} \\ {5 x-2 y+6 z=-1}\end{array} \end { equation }

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23.

x + y + z = 5 ; 2 x + 7 y = 6 ; 3 x - 5 z + 1 = 0

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24.

xcube+13xsquare-32x+20

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x^3 + 13x^2 -32x+20 what to do with it

25.

find the value of p in the given equation is 28 is equals to p plus 4

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Given :p + 4 = 28

p = 28 - 4

p = 24

26.

d y 3What is the value of the expression 5y2 + 4x when x 2.5 ana. 40b.-55C 231.5d. 23556 00 forginting houses plus

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Question you have submitted is incomplete. Please post a complete question.

27.

If line $\frac{x-1}{7}=\frac{y+2}{3}=\frac{z-1}{5}$ is parallel to place $2 x-3 y+\lambda z=5$ then $\lambda :$

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28.

if secant teeta Is equals to aplus 1 by 4a then secant teeta plus tangent teeta

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SecФ = a + 1/(4a)

sec²Ф = a² + 1/(16 a²) + 1/2Tan²Ф = a² + 1/(16 a²) - 1/2 as sec² - tan² = 1 = (a - 1/(4a) )²tanФ = + (a - 1/(4a)) or - (a - 1/(4a) )

secФ + tanФ = 2a or 1/(4a) + 1/(4a) = 1/(2a)

29.

The difference of the digits of a 2-digit number is 1. Five times the sum of the digits plusone is equal to the number. Find the number

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Two digits, a, bthen10a + b = the number"the difference of digits of two digit number is 1."a - b = 1"five times the sum of the number plus one is equal to the number."5(a+b) + 1 = 10a + b5a + 5b + 1 = 10a + b5a - 10a + 5b - b = -1-5a + 4b = -1Use substitution here, multiply the 1st equation by 4, add to the 2nd eq+4a - 4b = 4-5a + 4b = -1

addition eliminates b, find a-a = 3a = -3find b-3 - b = 1-b = 1 + 3-b = 4b = -4The number-3(10) + (-4) = -34 is the numberUsually not a neg answer in these problems, see if this works in the statement:"five times the sum of the number plus one is equal to the number."5(-3 + (-4)) + 1 = -345(-7) + 1 = -34-35 + 1 = -34; confirms our solution of -34

30.

ple-3. Find the roots of the equation 2x² – 5x + 3 = 0, by factorisation.

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31.

\begin{array} { l } { ( x + 3 ) ( x + 7 ) } \\ { ( 4 x - 5 ) ( 4 x - 1 ) } \\ { ( 2 x + 5 y ) ( 2 x + 3 y ) } \\ { ( x y z - 4 ) ( x y z - 2 ) } \end{array}

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32.

PLE3Anuwantstofencethegardeninfrontofherhouse (Fig 11.5), on three sides with lengths20 m, 12 m and 12 m. Find the cost of fencingat the rate of 150 per metre.

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Sum of lengths=20+12+12=44 m1 metre=150Rs44m=150*44=6600Rs

33.

A swimming pool is 8 m long, 6 m wide and 1.8 m deep. How many litres ofwater is needed to fill it? (Given: 1000 cm3-1 litre)

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THE ANSWER OF THIS QUISTION IS:800×600×180=86,400,000 cubic cm= 86,400 litre

Good

34.

The circumference of the base of a cylindrical vessel is 132 cm and its heightHow many litres of water can it hold? (1000 cm3 1/)1.nine is 24 cm and its outer diame

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35.

12. As showm in thefigure, a cylindricalglass contains water.A metal sphere ofdiameter 2 cm isimmersed in it. Findthe volume of the water.

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36.

Findthe HCF of 96 and 404 by prime factorisation method. Hence, find their LCM.

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96 = 2×2×2×2×2×3 404 = 2×2×101 HCF = 2×2 = 4 LCM = 2×2×2×2×2×3×101 = 9696

37.

find the range of f(x)= root 5-x^2

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f(x) = √5-x² the range of this function (-infinity,√5) but if the root in on whole 5-x² then the function is √{5-x²}in that case the range will be [0,√5]

how did you calculate(whole root) range?

38.

.No.Find the HCF of 96&404 by the prime factorizationmethod. Hence find their LCM

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96 = 2*2*2*2*2*3404 = 2*2*101HCF = 2*2 = 4

We know HCF * LCM = product of two numbersLCM = 96*404/4 = 9696

39.

Find the HCF of 96 and 404 by prime factorisation method. Hence, find their LCM.% -5 Check

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HCFof 96 and 404 by prime factorisation method:-Since, 96 =2× 2× 2× 2× 2× 3and, 404 = 2× 2× 101So, HCF of 96 and 404 = Product of common prime factors =2× 2 =4

LCM = 2× 2× 2× 2× 2× 101× 3 = 9696

40.

1. Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM.

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HCFof 96 and 404 by prime factorisation method:-Since, 96 =2× 2× 2× 2× 2× 3and, 404 = 2× 2× 101So, HCF of 96 and 404 = Product of common prime factors =2× 2 =4LCM = 2× 2× 2× 2× 2× 101× 3 = 9696

41.

999*102

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999 * 102 =(1000-1)*(100+2)=100000+2000-100-2= 101898

42.

54. In the following figure, AE//BC. Find valuesof x and yx + 19。(2x + y)oBANy-11)"(x+11)。

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43.

X plus 1\X =5 then find the value Xcube plus 1\Xcube

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44.

5 plus 3

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The answer is 8 adding both the numbers.

45.

(2) The th part of a conical vessel of radius 5 cm and height 24 cm is full of water. Thewater is poured into a cylindrical vessel with radius 10 cm. Find the height of waterlevel in cylindrical vessel.

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46.

(2) Theth part of a conical vessel of radius 5 cm and height 24 cm is full of water. The4water is poured into a cylindrical vessel with radius 10 cm. Find the height of waterlevel in cylindrical vessel.

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47.

Find x if x + 3 = -11

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x+3=-11x=-11-3x=-14

48.

ple 3 : Find x if 1/91+1/10 ! =x/11!

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hit like if you find it useful

49.

Example 3: Find x if 1/9 ! + 1/10! x/11!

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1/9! + 1/10! = x/11!(10 + 1)/10! = x/11!11/10! = x/11!11/10! = x/11*10!x = 11*11*10!/10!x = 121

Value of x = 121

50.

\operatorname { log } _ { 8 } x + \operatorname { log } _ { 4 } x + \operatorname { log } _ { 2 } x = 11 , \text { find } x

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