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. |
Areas of some circles are given below find their diameters.(1) 176 sq cm (2) 394.24 sq cm (3) 12474 sq cm |
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Answer» (1) area of circle = π(diameter)²/4 176 = 22/7 (diameter)²/4 176 × 7 × 4/22 = diameter ² 8 × 7 × 4 = diameter² diameter = diameter = 4√14 cm (2) area of circle = 394.24 cm² so, area of circle = π(diameter)²/4 394.24 = 22/7 × (diameter)²/4 394.24 × 7 × 4/22 = (diameter)² 501.76 = (diameter)² TAKING square root both SIDES , diameter = 22.4 cm (3) area of circle = 12474 cm² so, area of circle = π(diameter)²/4 12474 = 22/7 × (diameter)²/4 12474 × 7 × 4/22 = diameter² 15876 = diameter ² taking square root both sides, diameter = 126 cm |
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| 2. |
A rectangular lawn 15m× 20m,has a road of grass out side it.If the width of the road is 1 metre,findthe area of the road |
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Answer» Heya USER ⭐ |
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| 4. |
6a square-a-15 pls solve frnds |
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Answer» HEYA here's your ANSWER ⭐ 6a²-a-15 6a²-10a+9a-15 2a(3a-5)+3(3a-5) (2a+3) (3a-5) ( answer) HOPE it HELPS ⭐⚡ |
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| 5. |
Write numbers having the tens place digits given |
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Answer» 245 |
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| 6. |
Three angles of a quadrilateral measure 55,125 and 70 find the fourth angle |
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Answer» SUM of all the INTERIOR ANGLES of a QUADRILATERAL is 360 360 - (55+125+70) = 110 |
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| 7. |
How to find the square root of 72.72 upto 2 and 3 decimal places |
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| 8. |
Find the value of root 8 upto 3 decimals |
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Answer» HERE'S YOUR ANSWER....✌️✌️ |
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| 9. |
Find age of daughatwr |
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Answer» Here's your ANSWER ⭐⭐⚡ |
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| 10. |
The product of the HCF and the LCM of two numbers is 1152. If one number is 48 find the other one |
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Answer» U have to the use the formula product of 2 NOS = HCF*LCM 48*x(another NUMBER)=1152 another number =1152/48=24 hope it helps ⭐ |
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| 11. |
Find the cube root of the following numbers by Prime factorisation 74088 |
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Answer» Here's your ANSWER...... |
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| 12. |
(x+a)(x+b)(x+a)(x-b)(x-a)(x+b)(x-a)(x-b)(a+b)^2(a-b)^2(a+b)(a-b)(a+b)^3(a-b)^3 |
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Answer» ________________________________ ⚫In this question we have to GIVE the expanded FORM of the FOLLOWING identities:- ⭕(x + a) (x + b) = x² + x(a + b) + ab ⭕(x + a) (x - b) = x² + x(a - b) - ab ⭕(x - a) (x + b) = x² + x(b - a) - ab ⭕(x - a) (x - b) = x² - x(a + b) + ab ⭕(a + b)² = a² + 2ab + b² ⭕(a - b)² = a² - 2ab + b² ⭕(a + b) (a - b) = a² - b² ⭕(a + b)³ = a³ + b³ + 3AB (a + b) ⭕(a - b)³ = a³ - b³ - 3ab (a - b) |
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| 13. |
the 17th term of an ap is 5 more than twice of its 8th term and the 11th term of the ap is 43 then the nth termis |
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Answer» T11 = 43 |
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| 14. |
If the sides of a triangle are 17 cm, 25 cm and 26 cm, find the area of the triangle. |
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Answer» |
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| 15. |
the angle of elevation of a jet plane from a point A on the ground is 60 degrees after a flight of 30 seconds,the angle of elevation changes to 30 degrees.if the jet plane is flying at a constant height of 3600 root 3 meter find the speed of a jet plane. PLEASE VERY URGENT |
| Answer» 240 m/s will be the ANSWER | |
| 16. |
if the sum of a certain number of terms starting from first , of an ap 25,22,19....,is 116. find the last term |
Answer» AnswEr:LET the SUM of n TERMS of A.P . 25, 22, 19 , ... be 116. Then, |
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| 17. |
Divide 54 into two parts such that one part is 2/7 of the others |
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Answer» LET PARTS are X and 2x/7 Their SUM = 54 Hence, NUMBERS are |
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| 19. |
If 7 pencils would cost you rs.6 more than 5 pencils, then find the cost of 10 pencils |
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| 20. |
What percentage is 25 paise of rupees 4? |
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Answer» 25 PAISE =2500 Rupees |
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| 21. |
a population consists of five numbers 2 3 6 8 11. consider all possible samples of size two which can be drawn without replacement from the population. find a) the mean of the population b) standard deviation of the population c) the mean of the sampling distribution of means d) the standard deviation of the sampling distribution of means |
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Answer» Acc to the question, the population CONSISTS of five numbers 2 3 6 8 11. Therefore, Mean(µ) = Standard deviation(σ) = Mean of the sampling distribution = (sum of all samples)/25 = 150/25 = 6.0 [FORM a MATRIX of elements from the set of numnbers given and finally calculate its sum] Standard deviation of the sampling distribution = subtract the mean 6 from each number, square the result, add all 25 numbers obtained, and divide by 25. = 135/25 = 5.4 |
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| 22. |
Find the difference between simple interest and compound interest on ₹ 20000 at 8 p.c.p.a. |
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Answer» SIMPLE INTREST is based on PRINCIPLE amount of a loan or diposite. compound interest is based on the amount and the intrest that accumulates on it in EVERY PERIOD. |
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| 23. |
Integrate cos4x.cosx.dx |
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Answer» Hello! ! ! |
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| 24. |
Is the sum of two irrational numbers always irrational? justify your answer. |
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Answer» No, sum of two IRRATIONALS need but be IRRATIONAL always. |
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| 25. |
Find the value:if a+1/a=7,find a³+1/a³. |
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Answer» A+1/a=7 |
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| 26. |
If the diagonals of a rhombus are 9 cm and 12 cm find its sides |
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Answer» Answer: Step-by-step explanation: GIVEN that ; Diagonals of a rhombus are 9 cm and 12 cm. We KNOW that, The diagonals of a rhombus bisect each other at right angles, i.e., 90° Therefore, AO = OC = 4.5 cm BO = OD = 6 cm Now, In ΔBOC, BO = 8 cm OC = 6 cm ∠BOC = 90° Using Pythagoras theorem, BC² = BO² + OC² ⇒ BC² = (4.5)² + 6² ⇒ BC² = 20.25 + 36 ⇒ BC² = 56.25 ⇒ BC = √56.25 ⇒ BC = 7.5 cm Also, we know that each side of rhombus is equal. Hence, the length of each side of rhombus is 7.5 cm. |
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| 27. |
1-64a³-12a+48a², Factorise it. |
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Answer» REARRANGING. =64a^3+48a^2-12a. DIVIDING EQUATION by 4A,. =16a^2+12a-3 =( 16a^2+12a) -3. =4a(4a+3)-3. |
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| 28. |
A body rolled on a surface with a speed of 10ms-1 comes to rest after covering a distance of 50m. Find the coefficient of friction. g=10ms-2 |
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Answer» Answer: The coefficient of FRICTION would be 0.1. It is a dimensionless quantity. Step-by-step EXPLANATION: Given that s=50 m u=10 m/s Now, using the third equation of MOTION, we get: v^2-u^2=2as Now, putting the values, we get: 0^2-10^2=2*a*50 -100=100a a= -1 The negative sign of a SHOWS it is retardation. Now, F=ma F=m*1=m So, the frictional force is m kgms^(-2) We know, the formula of force of friction, F= kmg where k=coefficient of friction, m= mass, and g= ACCELERATION due to gravity. Now, F=kmg Putting the calculated value of F, we get: m=km*10 k=0.1 |
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| 29. |
A=-7,d=1/2 write an A.P. whose first term is a and common difference is d |
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Answer» A1=-7 |
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| 31. |
Calculate mode when mean is 45 and median is 42. |
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Answer» Here is your ANSWER :- |
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| 32. |
Which equations have the same value as x as 5/6x+2/3=-9? Check all that apply. |
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Answer» Answer: We have to FIND WHOSE solution is ALSO same as given equation. Consider, Solution is , |
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| 33. |
Integrate the following:- |
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Answer» (1) ∫ (1+x)² / x(1+x²) dx (2) ∫ (x^4+x^2+x) / 2(1+x²) dx To find: INTEGRATE the following. Solution: From given, we have, (1) ∫ (1+x)² / x(1+x²) dx taking the partial fraction, we get, = ∫ 1/x + 2/(x²+1) dx = ∫ 1/x dx + ∫ 2/(x²+1) dx (2) ∫ (x^4+x^2+x) / 2(1+x²) dx = 1/2 ∫ (x^4+x^2+x) / (1+x²) dx using long division method, we get, = 1/2 ∫ x² + 1/(1+x²) dx = 1/2 [∫ x² dx + ∫ 1/(1+x²) dx] = 1/2 [x³/3 + tan^{-1}x] + c |
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| 34. |
the age difference between eldest andyoungest is equal to the youngest find the age of all if the youngest is 36 year old and the ratio of eldest and younger is 9ratio5 |
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Answer» Dear friend, |
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| 35. |
The areas of two similar triangles are 12 and 48. if the height of smaller one is 2.1 then find corresponding height of bigger triangle |
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Answer» "GIVEN, Area of two similar triangles = 12 cm², 48 cm². Area of bigger triangle = 48 cm² Area of smaller triangle = 12 cm² We know that, Ratio of the areas of two similar is equal to square of the ratio of corresponding heights or ALTITUDES. Given, HEIGHT of smaller triangle =2.1 CM. Area (Bigger Triangle)/Area (Smaller Triangle) = (Height of bigger triangle) ^2/ (Height of smaller triangle) ^2 48/12 = (Height of bigger triangle) ^2/2.1² 4 = (Height of the triangle) ² / 4.41 √ (4 * 4.41) = Height of the bigger triangle Height of the bigger triangle = 2 * 2.1 = 4.2 cm. " |
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| 36. |
Find the number which when increased by 12% becomes 728 |
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Answer» LET the NUMBER be x |
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| 37. |
the height of a right circular cylinder is 5 cm and the area of its base is 36π cm^2. find the curved surface area of tge cylinder |
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Answer»
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| 38. |
588 find the perfect cube |
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Answer» HEY here is UR ANSWER...!! 588 = 8. 37771872824 HOPE IT HELPS.... |
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| 39. |
Prove that2Cos45°Cos15°=√3+1/2 |
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Answer» That can be WRITTEN as COS(a+b)+cos(a-b)..........ie...cos(60)+cos(30)........1/2+root 3/2.....so final ANSWER 1+root3 by 2 |
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| 40. |
The product of two numbers is 48 and their sum is 16.Find the numbers |
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Answer» LET the two numbers be x and y Given that, x + y = 16 and xy = 48 xy = 48, => x = 48 / y Substituting x = 48 / y in the equation x + y = 16, we GET, 48 / y + y = 16 Taking LCM, 48 + y² / y = 16 48 + y² = 16 y => y² - 16y + 48 = 0 => y² - 12 y - 4 y + 48 = 0 => y ( y - 12 ) - 4 ( y - 12 ) = 0 => ( y - 4 ) ( y - 12 ) = 0 => y = 4, 12 If y = 4, then x = 48 / 4 = 12 If y = 12, then x = 48 / 12 = 4 Hence the two numbers just get INTERCHANGED in both cases. Hence the two numbers are 12 and 4. |
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| 41. |
draw the diagram for a person is flying a kite at an angle of elevation alpha and the length of thread from his hand to kite is 'l' |
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| 42. |
The point (22, 23) divides the join of P (7, 5) and Q externally in the ratio 3:5, then Q=? |
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Answer» I hope it can HELP you and PLEASE mark it brainleist and FOLLOW me |
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| 43. |
A die has six faces numbered from 1 to 6. It is rolled and number on the top face is noted. When this is treated as a random trial.a) What are the possible outcomes ?b) Are they equally likely? Why?c) Find the probability of a composite number turning up on the top face. |
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Answer» Ans:(a): Sample Space : { 1,2,3,4,5,6} |
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| 44. |
Which of the following expressions are polynomials in one variable and which are not ? Give reasons for your answer.(1) 3x²-2x+5 (2) x²+√2 (3) p²-3p+q(4) y+2/y(5) 5√x+x√5(6) x¹°°+y¹°° |
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Answer» Answer: 3x²-2x+5 x²+√2 y+2/y 5√x+x√5 Step-by-step EXPLANATION: below are the POLYNOMIALS in ONE variable as they have only one variable 3x²-2x+5 x²+√2 y+2/y 5√x+x√5 Below polynomials have TWO VARIABLES : p²-3p+q ( p & q) x¹°°+y¹°° (x & y) |
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| 45. |
If a+b-c=5 and a²+b²+c²=29 find the value of ab-bc-ca |
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Answer» Answer: Step-by-step EXPLANATION: Given that, a+b-c = 5 and a^2+b^2+c^2 = 29 Using the formula (a+b+c)^2 = a^2+b^2+c^2+2(ab+bc+ca) =>(a+b+(-c)^2= a^2+b^2+c^2+2(ab+bc+ca) =>(a+b-c)^2= a^2+b^2+c^2+2(ab-bc-ca) =>5^2= 29+2(ab-bc-ca) =>25= 29+2(ab-bc-ca) =>ab-bc-ca= 25-29/2 =>ab-bc-ca= -4/2 =>ab-bc-ca= -2 Ans: -2 |
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| 46. |
The measure of an angle is 8 times its complement. Find The angles |
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Answer» LET the angle be 'm' Thus, its COMPLEMENT will be '8m' We know that when two angles are Complementary, then there is sum is EQUAL to 90° So, → m + 8m = 90° → 9M = 90° → m = 10° & 8m = 80° Therefore, the angles are 10° and 80°. Hope it helps!! |
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| 47. |
Which number do we get by adding 1 to 435 |
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Answer» we get 436 by adding 1 to 435 Step-by-step explanation: Given : Number = 435 To FIND : which number do we get by adding 1 to 435 Solution: LET the number be x we are given that which number do we get by adding 1 to 435 So, So, we get 436 Hence we get 436 by adding 1 to 435
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| 48. |
a rectangular plot is 125 M long and 72 M broad find the cost of fencing it at rupees 27 per meter ...thank you |
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| 49. |
354/500 - Express the given rational numbers as decimals numbers. |
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Answer» Given ratonal NUMBER = ( 354 × 2 )/(500 × 2 ) = 708/1000 = 0.708 [ Decimal form ] Decimal form of 354/500 = 0.708 •••• |
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| 50. |
Find the productsi. (-2) x 3 x (-4)ii. 2 x (-5) x (-6)iii. (-8) x 3 x 5iv. 8 x 7 x (-10)v. (-3) x (-7) x (-6)vi. (-8) x (-3) x (-9)with solutions |
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Answer» I. 24 |
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