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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Answer» the missing no. is 8 |
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| 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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Answer» the missing number is 4 |
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| 5. |
(4*(y*z(z^2 %2B 6*z - 16)))/((2*y(z %2B 8))) |
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Answer» 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) |
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| 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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Answer» 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 |
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| 9. |
tangent secant segment statement |
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Answer» 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 |
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| 10. |
Exercise 6.2ln a triangle ABC, if <A =55 and <B=40 find <c |
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Answer» Sum of angles in a triangle is 180 degree.soA + 55 + 40 = 180A = 180 -95A = 85° |
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| 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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Answer» Please post the figure of the question |
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| 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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Answer» option a) a chord is the correct answer |
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| 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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Answer» 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 |
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| 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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Answer» iii) is not correct as integer are not commutative.like take a= 2 , b= -32-(-3) = 5-3-2 = -5 |
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| 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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Answer» 7 × 9 + 5 × 64 - 6 × 64 = 63 - 64 = -1. |
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| 17. |
solve x,root(8^0 + 2/3) = (3/5)^2-3x? |
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Answer» 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 |
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| 18. |
x^{2}=\frac{1}{x^{2}}+1 \text { then } x^{2}+\frac{1}{x^{2}}5+=root5root 30 |
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Answer» 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 |
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| 19. |
root of x cube -2x-5 |
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Answer» 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 |
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| 20. |
4.The volume of a cube is 1000 cm3. Find the length of the side of the cube. |
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Answer» Since we know that VOLUME(of a cube)=(side)³ let side be of length x then x³=1000 ∛1000=x=10cm |
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| 21. |
(i) the root of 3x - 5 = 7 is x = 4 |
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Answer» 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 |
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| 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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Answer» x^3 + 13x^2 -32x+20 what to do with it |
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| 25. |
find the value of p in the given equation is 28 is equals to p plus 4 |
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Answer» Given :p + 4 = 28 p = 28 - 4 p = 24 |
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| 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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Answer» Question you have submitted is incomplete. Please post a complete question. |
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| 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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Answer» 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) |
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| 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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Answer» 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 |
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| 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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Answer» Sum of lengths=20+12+12=44 m1 metre=150Rs44m=150*44=6600Rs |
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| 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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Answer» THE ANSWER OF THIS QUISTION IS:800×600×180=86,400,000 cubic cm= 86,400 litre Good |
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| 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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Answer» 96 = 2×2×2×2×2×3 404 = 2×2×101 HCF = 2×2 = 4 LCM = 2×2×2×2×2×3×101 = 9696 |
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| 37. |
find the range of f(x)= root 5-x^2 |
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Answer» 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? |
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| 38. |
.No.Find the HCF of 96&404 by the prime factorizationmethod. Hence find their LCM |
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Answer» 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 |
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| 39. |
Find the HCF of 96 and 404 by prime factorisation method. Hence, find their LCM.% -5 Check |
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Answer» 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 |
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| 40. |
1. Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM. |
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Answer» 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 |
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| 41. |
999*102 |
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Answer» 999 * 102 =(1000-1)*(100+2)=100000+2000-100-2= 101898 |
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| 42. |
54. In the following figure, AE//BC. Find valuesof x and yx + 19ă(2x + y)oBANy-11)"(x+11)ă |
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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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Answer» The answer is 8 adding both the numbers. |
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| 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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Answer» x+3=-11x=-11-3x=-14 |
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| 48. |
ple 3 : Find x if 1/91+1/10 ! =x/11! |
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Answer» hit like if you find it useful |
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| 49. |
Example 3: Find x if 1/9 ! + 1/10! x/11! |
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Answer» 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 |
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| 50. |
\operatorname { log } _ { 8 } x + \operatorname { log } _ { 4 } x + \operatorname { log } _ { 2 } x = 11 , \text { find } x |
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