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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. |
Theratiooftheagesofamotherandherdaughteris5:2.Ifthemotheris35yearsold. how old is the daughter? |
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Answer» let X be the common multiplyhence5x and 2x be the agesmother is 35=5xhence X=35/5=7hence daughter is 2x=2*7=14years |
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| 2. |
The ratio of the ages of a mother and her daughter is 5 : 2. If the mother is 35 yearsold, how old is the daughter? |
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| 3. |
d. Find a mixture that will make the different shade of green that is more ye(from Unit 2, Lesson 1) |
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| 4. |
The ages of 5 children are 13, 15, 11,9 and 8 years respectively. Find their average age |
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| 5. |
Distance between onigin and a point on aisisa) unitsc)4b) unitsd) o'r-units |
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Answer» The distance between origin (0, 0) and point on x axis (x1, y1) 'd' in two dimension is given by d=√((x1-0)²+(0-0)²) units and the distance between origin (0, 0, 0) and a point on x axis (x1, y1, z1) 'd' in three dimension is given by d=√((x1-0)²+(0-0)²+(0-0)²) units d = √x1² d = x1 units Like my answer if you find it useful! |
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| 6. |
32.What must be subtracted from 8x* +14x? - 2x? + +7x - 8 so that the resulting polynomial is exactlydivisible by 4x² + 3x - 2 ? |
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Answer» 17x-12 should be subtracted from the given polynomial |
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| 7. |
ce, the eqdatiorsSyEXERCuation of a line parallel to the x-axis at a distance of(0) 4 units above it () 5 units below it. |
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Answer» y = mx + ci) y = 0(x) + 4=> y = 4.ii) y = 0(x) - 5=> y= -5 |
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| 8. |
Find the equation of a line parallel to the x-axis at a distance of(1) 4 units above it (2) 5 units below it. |
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Answer» both the lines are parallel to x-axis i) 4 units above it so equation y=4 ii)5 units below it so equation y=-5 |
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| 9. |
7. What principal will amount to9,856 in twoyears, if the rates of interest for successiveyears are 10% and 12% respectively ? |
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| 10. |
26. The mean of 100 values was found to be 46. Later on, it was discovered that the value16 was misread as 61 and another value 43 was misread as 34. It was also found thatthe number of values was 90 and not 100. Find the correct mean |
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Answer» Thanks |
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| 11. |
10, Karan and Rahul borrowed Rs 6000 each at therate of 12% per annum for a period of 2 years and3 years, respectively. Find the difference in theinterests paid by them. |
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| 12. |
Q(7) How many words, with or without meaning, each of 2 vowels and 3 consonants can beformed from the letters of the words DAUGHTER?2. |
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| 13. |
How many words, with or without meaning, each of 2 vowels and 3 consonantscan be formed from the letters of the word DAUGHTER ? |
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| 14. |
\left( 21 x ^ { 4 } - 14 x ^ { 2 } + 7 x \right) \div 7 x ^ { 3 } |
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| 15. |
3x 2x+47What must be subtracted from 8x4+14x2x2 + 8x - 12, so that the resulting polynomialis exactly divisible by 4x2 3x-2? |
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Answer» from which book do u get this question? |
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| 16. |
5. Which of the following is a group oflike terms?A) 2,27 B) x, 2x?, - 7x, 8x?C) 6p, - 7p, P D) 2, 3 x, 5t6. 5x * (-3y) =A) - 15xyB) - 15x’yC) 15xyD) 2xy |
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Answer» 6) -15xy is right answer |
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| 17. |
Express tan 700-cot 550 Ä°ntcrms of trigonometric ratios of angles between00 and 450 |
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Answer» tan 70- cot 55= cot(90-70)-tan(90-55)=cot 20- tan35 |
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| 18. |
: 9 - 3 ( x - 2 ) = 21 - x |
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| 19. |
5) How many lines are there parallel to y-axis and having a distance 4 units ?3 6) Find the value of 5 Sin 30 + 3 tan 450 |
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Answer» 6) sin30° = 1/2tan 45° = 1so5/2+1*3= 5/2+3= 11/2please like the solution 👍 ✔️ 5)There can be 2 parallel lines x= 4 and x= -4 |
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| 20. |
If the sum of a few numbers is 450 and their mean is 50 and if anothernumber 100 is included, the mean would become(A) 55(C) 7540.(B) 60(D) 150 |
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Answer» Number of numbers whose mean is found out is 450/50 = 9. New mean = New total / New number of numbers= (450+100)/10= 550/10= 55. Please hit the like button if this helped you. |
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| 21. |
13. A certain sum of money amounts to R6,500 in 3 years and 5,750 in 1, yearsrespectively . Find the principal and the rate percent. |
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Answer» Amount 3 years = 6500Amount in1.5 years = 5750 interest in 1.5 years = 6500 - 5750 = 750interest in 3(=1.5×2) years = 750×2 = 1500Principal = 6500 - 1500 = 5000 1500 = Ptr/100⇒ 1500 = 5000×3×r/100⇒ r = (1500×100)/(5000×3) = 10% |
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| 22. |
13. A certain sum of money amounts to 26,500 in 3 years and R5,750 in 1 yerespectively. Find the principal and the rate percent |
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Answer» Amount 3 years = 6500Amount in1.5 years = 5750 interest in 1.5 years = 6500 - 5750 = 750interest in 3(=1.5×2) years = 750×2 = 1500Principal = 6500 - 1500 = 5000 1500 = Ptr/100⇒ 1500 = 5000×3×r/100⇒ r = (1500×100)/(5000×3) = 10% Please hit a like if you find it useful |
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| 23. |
Q20. The radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circleand BD is a tangent to the smaller circle touching it at D and intersecting the larger circle atP on producing. Find the length of AP |
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Answer» R= 8cmR=13cmangle ODB= 90 degrees ( BD is tangent)angle APB =90 degrees ( angle in semicircle)angle DB0 =ANGLE PBA (COMMON) SO, BY AA criteria tri APB similar to tri DBO BY CPST ...... BD/BP=BO/AB= OD/ APOD/AP= BO/AB8/AP=13/26AP=16 cm |
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| 24. |
If a man runs at 2m/s, how manykilometres does he run in 1 h 20min? |
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Answer» Speed in m/s = 2m/s In km/h = 2×18/5=36/5 km/h Time = 1 hour 20 minutes = 4/3 h Distance = Speed×Time =36/3*4/3=9.6= 9.6 km/h The required speed in km/h = 9.6 km/h . |
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| 25. |
at must be subtracted from the polynomial f(x 132-12x +21 so thatthe resulting polynomial is exactly divisible by 2 -4x +3222-13x2 -12x+21 so that |
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| 26. |
What should be subtracted from 8x 14x2x 7x -8 so that the resulting polynomialis exactly divisible by 4x2 + 3x - 2. |
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| 27. |
3E‘" 2 then x =54 then x® -5%(©3 |
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Answer» Answer:b)-3/4Explanation: 2x-(3/2)=5x+(3/4)(4x-3)/2=(20x+3)/416x-12=40x+640x-16x=-12-624x=-18x=-18/24=-3/4 |
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| 28. |
cumple 13: What is a smallest number by which 2560 is to be multiplied so that the productis a perfect cube?22560 |
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| 29. |
5000 will earn in 5 years at 4 % per annum onMohith borrowed7 3000 from his friend Anesh at 15 percent per annum for 3 yearFind the interest and money returned by Mohith to Anesh.ortho first two vears, at the rate |
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| 30. |
3 x ^ { 2 } + 21 x - 54 \text { by } 3 ( x - 2 ) |
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| 31. |
269Example3 The distribution below shows the number of wickets taken by bowlers inone-daymethod. What does the mean signify?cket matches. Find the mean number of wickets by choosing a suitableber of 20-60 60 100 100 150 150-250 250 350 350 -450wicketsNuraber of 21612bowlers |
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| 32. |
12*350 |
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Answer» 12*350=4200Therefore,the answer is 4200 12*350=4200 (basic multiplication) |
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| 33. |
2 tan 4501 + tan 450 IS equal to: |
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| 34. |
Number of five digits numbers divisible by 3 that can be formed using the digits 0, 1, 2, 3, 4, 7 and 8 if,each digit is to be used atmost one is N thens equal toman ( 15 00 |
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| 35. |
The radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger cirdeand BD is a tangent to the smaller circle touP on producing. Find the length of APit at D and intersecting the larger circle atAORdiameter of larger circle |
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| 36. |
\operatorname { tan } ( x - y ) + \operatorname { tan } ( y - z ) + \operatorname { tan } ( z - x ) = \operatorname { tan } ( x - y ) \operatorname { tan } ( y - z ) \operatorname { tan } ( z - x ) |
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| 37. |
The radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circleand BDP on producing. Find the length of APis a tangent to the smaller circle touching it at D and intersecting the larger circle at |
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| 38. |
The radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circleand BD is a tangent to the smaller circle touching it at D and intersecting the larger circle atP on producing. Find the length of AP. |
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Answer» GIVEN: 2 Concentric circles with centre O. Radius OB of bigger circle = 13cm, Radius OD of smaller circle = 8cm. EB is tangent to the inner circle at point D. So, OD is perpendicular to EB.( as tangent is perpendicular to the radius segment through the point of contact.) Construction: Join AD & Join AE. PROOF: In right triangle ODB DB² = OB² — OD² ( by pythagoras law) DB² = 13² — 8² = 169 — 64 = 105 => DB = √105 => ED = √105 ( as perpendicular OD from the centre of the circle O, to a chord EB , bisects the chord) Now in triangle AEB, angle AEB = 90°( as angle on a semi circle is a right angle). And, OD // AE & OD = 1/2 AE ( as, segment joining rhe mid points of any 2 sides of a triangle is parallel to the third side & also half of it. So, AE = 16cm Now, in right triangle AED, AD² = AE² + ED² => AD² = 16² + (√105)² => AD² = 256 +105 => AD² = 361 => AD = √361 = 19cm |
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| 39. |
The radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circleand BD is a tangent to the smaller circle touching it at D and intersecting the larger circle atP on producing. Find the length of AP |
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Answer» GivenR=13cm angle ODB= 90 degrees ( BD is tangent)angle APB =90 degrees ( angle in semicircle)angle DB0 =ANGLE PBA (COMMON) SO, BY AA criteria tri APB similar to tri DBO BY CPST ...... BD/BP=BO/AB= OD/ AP OD/AP= BO/AB8/AP=13/26AP=16 cm Like if you find it useful |
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| 40. |
? का 350% + 50+248 = 591 |
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Answer» X×150÷50+248=591x/10=591-248x×10=343x=343÷10x=34.3 right answer 4900 is correct answer |
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| 41. |
(a) The zeros of the polynomial x^2-5x are(iii) (-5, 0)(iv) (0, -5) |
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| 42. |
2.5% of 350 m |
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| 43. |
4 5x2+7x-350 |
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| 44. |
-10 %2B 54/6 %2B 18 |
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Answer» 18+54÷6-5×2= *17*as the answer 18 +54÷6-5×2=17 is the answer 17 is the correct answer 17 is the right answer of the following answer this question is 17 |
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| 45. |
16*a^2 %2B 54*a |
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Answer» 16a² + 54a2a (8a + 27) is correct answer please like and accept as best my answer We will see what is common in both the terms.2a(8a+27) 16a^2 + 54a(2a)(8a)+(2a)(27)2a(8a+27) |
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| 46. |
\frac \operatorname sec ^ 2 54 ^ \circ - \operatorname cot ^ 2 36 ^ \circ \operatorname cosec ^ 2 57 ^ \circ - \operatorname tan ^ 2 33 ^ \circ %2B 2 \operatorname sin ^ 2 38 ^ \circ \cdot \operatorname sec ^ 2 52 ^ \circ - \operatorname sin ^ 2 45 ^ \circ |
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| 47. |
Find the amount and the compound interest oncompounded annually.8000 at 5% per annum |
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Answer» Principal = 8000rate = 5%time = 2 years ( 2 terms) Amount = P(1+ R/100)^n= 8000(1+5/100)²= 8000* (1+1/20)²= 8000 *( 21/20)²= 8000 * 441/400= 20 * 441 = 8820 /- :. CI = Amount - Principal= 8820 - 8000=. 820. |
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| 48. |
Dat |
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Answer» Thank you very much. 👌👍👏 |
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| 49. |
Dat33 |
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| 50. |
The radii of two concentric circles are 13 cm and 8 cm.and BD is a tangent to the smaller circle touching it at D and intersecting the larger circle avP on producing Find the length of AP8.The radu of two concentric circles are 13 cm and 8 cm AB is a diameter of the bigger arcleAB is a diameter of3 |
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Answer» Like if you find it useful |
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