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. |
Point T is in the interior of rectangle PQRS prove that TS + TQ = TP + TR |
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Answer» Answer: (TS+TQ)= (TP+TR).... PROVED Step-by-step explanation: LET us assume that any rectangle PQRS(a×b) is placed on the coordinate PLANE in such a way that the coordinates of P(0,0), Q(a,0), R(a,b) and S(0,b) respectively. (See the diagram) Also assume an interior point T(h,k) to the rectangle on the coordinate plane. Then, we can have
and, We have to prove that, TS+TQ= TP+TR Now, ⇒ ⇒ Similarly, ⇒ So, from (5) and (6) it is CLEAR that, ⇒(TS+TQ)= ±(TP+TR) ⇒(TS+TQ)= (TP+TR) {Since sum of two lengths can not be negative} Hence, proved. |
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| 2. |
How long will a man take to walk 600 metres if he walk at the rate of 4 km per hour? |
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Answer» Time = distance / speed |
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| 3. |
Ram and Shyam appeared for the examination Ram secure 24 marks more than Shyam and the marks of Ram was 65% of the sum of marks obtained by both of them the marks obtained by Ram and Shyam are |
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Answer» Let MARK is obtained by SHYAM = x |
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| 4. |
If 18.5 kg is the weight of 1 tin then how many tins will weigh 462.5 kg |
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| 5. |
The sum of two number is 84 and ratio is 5 ratio 7 find the number |
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Answer» LET the no. be 5x and 7x. 5x + 7x= 84 12X = 84 X = 7 Hope it helped -Ad. |
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| 6. |
What is the square root of 6.875 correct to two decimal places |
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Answer» GIVEN : 6.875 To Find : square root of 6.875 correct to two decimal places using division method Solution:
2.622 ________ 6.875000 2 4 __________ 287 46 276 __________ 1150 522 1044 _______ 10600 5242 10484 ________ 116 √6.875 = 2.622 = 2.62 upto 2 decimal places Learn More: QueSLUNNU.410What is the nearest square root value of 125125 ... Do 10 QUESTIONS each of square root in all methods. (1) REPEAT ... |
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| 7. |
An A.P consist of 37 terms. the sum of three middle most term is 225 and the sum of last 3 term is 429. find AP? |
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Answer» The middlemost term is (37 + 1) /2 = 19. |
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| 8. |
1/x-1/x-2=3. Solve by factorisation |
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Answer» X-2-x/x^2-2x=3 |
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| 9. |
Find the zeros of the polynomial 4 x square - 12 x + 9 |
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Answer» HEYA! =4x^2-12x+9 =4x^2-6x-6x+9 =2x(2x-3)-3(2x-3) =(2x-3)(2x-3)=0 =x=3/2,3/2 hope this HELPS you ☺ |
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| 10. |
there are 11 apples and oranges in the basket. If the number of apples are 20% more than the oranges. Find the number of apple and oranges in the basket |
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Answer» Hey there |
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| 11. |
If 14% of a number is 315 ,find the number |
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Answer» Here is your ANSWER |
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| 12. |
Find the sum of 7/12 +11/16 +9/24 |
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Answer» ANSWER for the above EXPRESSION is 79/48 |
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| 13. |
If the quadratic equation (1 + m2)x2 + 2 mcx + c2 - a2 = 0 has equal roots, prove that c2 = a2 (1 + m2). |
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Answer» D=b^2-4ac=0 |
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| 15. |
Is zero (0) a rational number? justify your answer |
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Answer» Yes zero is a RATIONAL number |
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| 16. |
How many days are between children's day and republic day? |
| Answer» 62 DAYS between CHILDREN's DAY and REPUBLIC day | |
| 17. |
If a ray stands on a line then the sum of the adjacent angle so formed is ??? |
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Answer» The answer is given below : |
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| 18. |
Find the measure of each exterior angle of a regular 10 sided polygon |
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Answer» MEASURE Of each EXTERIOR Angle=360°/number of sides So, MESURE Of Each Exterior Angle=360°/10=36° |
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| 19. |
Find the smallest natural number which when added to diffrence of squares of 17and13 gives a perfect square? |
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Answer» The ANSWER is 1. 17^2-13^2=289-169=120.So 11^2=121 which is 1 more than 120. |
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| 20. |
Find the value of k if the roots of x²+kx+12=0 are in the ratio of 1:3. |
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Answer» HEY Mate ☺ Here is your solution :- ___________________________ LET the two roots be α and β Given α : β = 1 : 3 That is α / β = 1 / 3 β = 3 α Given quadratic EQUATION is x^2+kx+12=0 Sum of roots (α + β) = -b/a = - k That is (α + 3 α) = - k Hence α = - k/4 ---- (1) Product of roots, (αβ) = c/a = 12/1 That is (3α^2) = 12 α^2 = 4 α = ± 2 Equation (1) becomes, 2 = - k/4 Hence k = -8 If α = - 2 k = 8 _________________________ Hope it helps ☺ |
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| 21. |
find the values of A and B so that f of x is equal to X square + 3 X + a ,x less than and equal one,and another function is a bx+2,x>1, is differentiable at X=1 |
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Answer» HEY Friend..... :-) don't DEPEND on brainly always Go to www.cymath.com for your question. you can VIEW all the STEPS and DETAILED solution there with every formula. Hope it helps Thanks :D |
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| 22. |
Find the five rational numbers between 3/4 and 5/6 |
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Answer» Heya ✋ |
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| 23. |
Determine Ap whose 3rd term is 5 and 7th term is 9 |
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Answer» Hii friend, |
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| 24. |
Prove that tan72=tan18+2tan54 |
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Answer» SOLUTION:- LET, tan54 = TAN(72-18) = tan54 =( tan72-tan18)/1+tan72.tan18 = tan54 = ( tan72-tan18)/1+tan(90-18).tan18 = tan54 =( tan72-tan18)/1+cot18.tan18 = tan54 =( tan72-tan18)/2 = tan72-tan18 = 2tan54 =(tan72 = tan18+2tan54)PROVED |
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| 25. |
Using suitable identities evaluate the following(i)6.1^2 (ii)20.5 × 19.5(iii)9.6^2 |
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| 26. |
Hamming distance between 001111 and 010011 is |
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Answer» The CORRECT answer should be - 3 |
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| 27. |
If several frequency distributions are constructed from the same data set, the distribution with the widest class width will have the |
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Answer» The answer is FEWEST classes. If SEVERAL frequency DISTRIBUTIONS areconstructed from the same data SET, the distribution with the widest classwidth will have the fewest classes. Afrequency distribution refers to a graph, table or list, which highlights thefrequency of different outcomes in a SAMPLE. |
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| 28. |
How to find inverse of matrix using simplex method |
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Answer» First CALCULATE ADJ(A) then divide it by determinantof A. The Matrix you GET is inverse of matrix A. |
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| 29. |
- A vendor buys bananas at 12 for Rs 50 and sells at 5 for Rs 40. What will be the gain (in %)? |
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Answer» C.P. of 12 bananas = Rs.50 |
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| 30. |
Three pipes A,B and C are attached to a cistern .A and B can fill it in 20 and 30 minutes respectively, while C can empty it in 15 minutes .If A,B and C be kept open successively for 1 minute each,how soon will the cistern be filled? |
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| 31. |
What is the next term in the series 18,36,72,132,222,? |
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Answer» 18,36,72,132,222,342 |
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| 33. |
Express 4.32 in the form of p/q where bar is only on 2 |
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| 34. |
How many triangles are there in the following figure??? |
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Answer» There are TOTAL 15 triangles in the GIVEN figure |
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| 35. |
Write the formula of sodium sulphate with steps |
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Answer» FORMULA of SODIUM=Na. valency of sodium=1. Formula of SULPHATE=SO4. Valency of sulphate= 2. Hence, formula of Sodium sulphate=Na2SO4. hope it is HELPFUL for you:) |
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| 36. |
External dimensions of a wooden cuboid box are 30 cm × 25 cm × 20 cm. If the thickness of the wood is 2 cm all around, what is the capacity of the box? Find the volume of the wood contained in the cuboid formed. |
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Answer» Hey!!!! dear your ANSWER is here.... |
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| 37. |
(125)^-1/3[(125)^1/3-(125)^2/3 |
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Answer» HI , ( 125)-⅓ [ ( 125 )⅓ - ( 125 )⅔ ] = 1/ ( 125)⅓ [ ( 125 )⅓ - [ ( 125 )⅓]² ] = { ( 125 )⅓ [ 1 - ( 125 )⅓ } / ( 125 )⅓ after cancellation , = 1 - ( 125 )⅓ = 1 - ( 5³ )⅓ = 1 - 5 = - 4 I HOPE this HELPS you. : ) |
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| 38. |
If the mean of 6,4,7,p and 10 is 8. Find the value of p. |
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Answer» MEAN = sum/total 8 = 6+4+7+p+10/5 8 × 5 = 27+p 40 = 27 + p p = 40 - 27 p = 13 |
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| 39. |
the mean weight of a class if 32 students is 40.5 kg. if the weight of the teacher be included the mean rises by 500 g. the weight of the teacher is |
| Answer» 41 KG is a WEIGHT of TEACHER | |
| 40. |
The difference of two natural number is 3 and the difference of their reciprocal is 3/28. Find the numbers. |
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Answer» HI , Let x , x - 3 are TWO numbers . according to the problem given , 1/( x - 3 ) - 1/x = 3/28 [ x - ( x - 3 )]/[ ( x - 3 ) x ] = 3/28 ( x - x + 3 )/(x² - 3x ) = 3/28 3/(x² - 3x ) = 3/28 ( x² - 3x ) /3 = 28/3 x² - 3x = 28 x² - 3x - 28 = 0 x² - 7x + 4x - 28 = 0 x( x - 7 ) + 4(x - 7 ) = 0 ( x - 7 ) ( x + 4 ) = 0 Therefore , x - 7 = 0 or x + 4 = 0 x = 7 or x = - 4 Required numbers are;, 1 ) if x = 7 , x - 3 = 7 - 3 = 4 ( 7 , 4 ) 2 ) if x = - 4 , x - 3 = -4 - 3 = -7 ( - 4 , - 7 ) I hope this HELPS you. : ) |
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| 41. |
the area of a square garden is 8464 m2 . a man takes 3 rounds of this garden. find the distance covered by him |
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Answer» Hii friend, |
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| 42. |
When the polynomial P(x) = x3+ 3x2 – 2Ax + 3,where A is constant, is divided by x2 + 1 andremainder is –5x, then A is |
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| 43. |
Hey! Can anyone tell the laws of exponents? For class 8 |
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Answer» Hey mate here is UR answer and if it helps u then PLS MARK it as BRAINLIEST |
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| 44. |
the arthemetic mean of a set of 20 observations is 15:8. the arthemetic mean increases by 0.4 when a new observation is added to the set. the new observaon is: |
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Answer» Number of OBSERVATIONS = 20 |
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| 45. |
find the cost of fencing a rectangular park of 120m length and 80m breadth at the rate of Rs.2 per meter. |
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Answer» PERIMETER of rectangular park = 2(length+breadth) ___________________ Perimeter of rectangular park = 2(120+80) Perimeter of rectangular park =2×200 Perimeter of rectangular park= 400 m Cost of fencing = 2×400 Cost of fencing = Rs 800 I HOPE this will HELP you -by ABHAY |
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| 46. |
divide ₹ 1870 into three parts so that half of the first part one third of second part and one sixth of the third part are equal |
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Answer» LET the three PARTS be x,y and z so,x+y+z=1870(given).............1eq (x/2)=(y/3)=(z/6)=k(let) then we can SAY, x=2k,y=3k and z=6k putting the values in 1eq we get, 2k+3k+6k=1870 11k=1870 k=170 so, x=2k=340 similarly, y=510 z=1020 |
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| 47. |
Express the magnitude of vector aÃvector b in terms of scalar product. |
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Answer» In the ATTACHMENT I have ANSWERED this problem. |
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| 48. |
Six subtracted from a no. Is equal to one fourth of the sum of the And 45 |
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| 50. |
99 square using algebraic identity |
| Answer» 0 | |