Saved Bookmarks
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. |
,?39269.By what rational number must% be divided to get |
|
Answer» Let x be the rational number which on division by 1/26 give -8/39 Hence, x ÷ 1/26 = - 8/3926x = - 8/39x = - 8/39*26x = - 8/1014 Therefore, rational number is -8/1014 wrong hai ye okkkkkkkkkkkk |
|
| 2. |
LCM of 39 and 26 |
|
Answer» 39=3×1326=2×13lcm=2×3×13=78 |
|
| 3. |
111. What should be added to 7 to get 18?or |
| Answer» | |
| 4. |
given that root 5 is a zero of p(x)=x cube -3 5 root xsquar+13x-3 5 root. find the other 2 zeros |
|
Answer» 50 was the write answer |
|
| 5. |
prove root 3 and root 5 irrational |
|
Answer» Let√3 +√5 be a rational number , say r then√3 +√5 = r On squaring both sides, (√3 +√5)^2= r^2 3 + 2√15 + 5 =r^2 8 + 2√15 =r^2 2√15 =r^2 - 8 √15 = (r^2- 8) / 2 Now (r^2- 8) / 2 is a rational number and√15is anirrational number . Since a rational number cannot be equal to an irrational number . Our assumption that√3 +√5 is rational wrong . |
|
| 6. |
The sum of areas of two different squarcs is 400 meter2, the difference of its perimeteris 16 meter find the length of sides of both the squares. |
|
Answer» Let side of first square be x and the side of another square be y.difference in perimeter of twosquares:-4x-4y=164(x-y)=16x-y=16/4therefore, x-y=4and x=4+y---take this(1)sum ofareas of two squares:-x²+y²=400Put (1) here(4+y)²+y²=400(4)²+(y)²+2×4×y+y²=40016+y²+8y+y²=4002y²+8y+16-400=02y²+8y-384=02(y²+4y-192)=0 (here we have taken 2 common and take to another side. then it becomes:-)y²+4y-192=0we have done with factorisation method:-y²-12y+16y-192=0y(y-12)+16(y-12)=0(y+16) (y-12)=0either:- | or:-y+16=0 | y-12=0y=-16 | y=12 we will take y=12 because y being side cannot be negative.So, y=12put y=12 in (1)x=4+yx=4+12therefore,x=16and hence, Side of first square=x=16and Side of another square= y = 12. |
|
| 7. |
Simplify byrstionalizing denominator7+3 root 5/7 - root 5 |
|
Answer» 7+3√5/7-3√5*7+3√5/7+3√5(7+3√5)^2/49-4549+45+42√5/494+42√5/4 |
|
| 8. |
What is the two digit number is less than the sum of the squares of the digits by 11 and exceed their double product by5 |
| Answer» | |
| 9. |
Exerteach of the following questions, check the divisibility of thnumber.(Hint: Apply the rules of divisibility.J(a) 5695 by5(d) 4236-by 6(b)(e)(h)32900 by 1012345 by 3100008 by 9(g) 13416 by 4 |
|
Answer» divisibility of 95 by 5 |
|
| 10. |
16 a number when multiplied byIf a number when multiplied byaire que ten the number is:- then the number |
| Answer» | |
| 11. |
hich 2916 should be multiplied so that the product is a perfect cutWhat is the smallest number by which 2916 should be multiplied so that theAlso, find the cube root of the product. |
| Answer» | |
| 12. |
1. The mean score of 25 observation is 80 & themean score of another 55 observation is 65find the mean score of the whole set ofobservations |
| Answer» | |
| 13. |
8 Mean of 15 observations is 200 If one observationexcluded, their mean is 198. Find the excludedobservation |
|
Answer» x1+x2+....x15/15=200x1+x2+..+x14+x15=200*15x1+x2+...+x14/14=198x1+x2...+x14=198*14henceput this in equation 1198*14+x15=200*15x15=200*15-198*14=3000-2772=228hence excluded observation is 228 |
|
| 14. |
Z By what rational number shouldbe multiplied to obtain3926 |
|
Answer» Here's ur ans ----Let the no. be x Then , -8/9 × x = 1/26x = 1/26 × -9/8x = -9 / 208 Hence , the other rational no. is -9/208 (-8/9)+x=1/26; x=1/26 x (-9/8)=-9/208 -9/208 is the correct answer of the given question |
|
| 15. |
By what number shouldbe multiplied to get 17 |
| Answer» | |
| 16. |
7.What must be multiplied by 4 to get 1220 |
|
Answer» 126/500 is the correct answer 63/250 is correct answer of following question 63/250 is the right ansert 63/250 is the correct answer of the given question. 63 /250 is the correct answer of the given question 63 / 125 needs to be multiplied 63/250 is correct answer 63/250 is correct answer 63/250 is the right answer |
|
| 17. |
9. The sum of arcas of two different squares is 400 meter?, the difference of its perimeteris 16 meter find the length of sides of both the squares. |
|
Answer» Let side of first square be x and the side of another square be y.difference in perimeter of twosquares:-4x-4y=164(x-y)=16x-y=16/4therefore, x-y=4and x=4+y---take this(1)sum ofareas of two squares:-x²+y²=400Put (1) here(4+y)²+y²=400(4)²+(y)²+2×4×y+y²=40016+y²+8y+y²=4002y²+8y+16-400=02y²+8y-384=02(y²+4y-192)=0 (here we have taken 2 common and take to another side. then it becomes:-)y²+4y-192=0we have done with factorisation method:-y²-12y+16y-192=0y(y-12)+16(y-12)=0(y+16) (y-12)=0either:- | or:-y+16=0 | y-12=0y=-16 | y=12 we will take y=12 because y being side cannot be negative.So, y=12put y=12 in (1)x=4+yx=4+12therefore,x=16and hence, Side of first square=x=16and Side of another square= y = 12. |
|
| 18. |
USE34. The diameter of a right circular cylinder is 24 cm and its height is 40 cm.This cylinder contains some water. Iron spheres of radius 2 cm each aredropped into this cylinder so that the water level inside the cylinder rises by6 cm. Find the number of iron spheres dropped into the cylinder. |
|
Answer» water in cylinder = π×(12)^2×h let water level in cylinder be hand x no of sphere to be droppedvolume of 1 sphere= 4/3π(2)^3vol of X sphere = 4/3π(2)^2Xnow water level = h+6now water in cylinder= π(12)^2(h+6)4/3π(2)3X= π(12)^2(h+6)-π(12)^2×h4/3π(2)^3X=π(12)^2(h+6-h)4/3 ×8X= 144×6X= 144×6×3/4×8X= 81no of sphere=81 water in cylinder=--π(12)^2×h; volume of 1 sphere=4/3(2)^2x; water level= h+6; water in cylinder= π(12)^22x,; now water in cylinder=h+6; water in cylinder=π(12)^2(h+6); 4/3 x 8 x=144x6; X=144x6x3/4x8=81: no., of sphere=81 |
|
| 19. |
51Has the rational number 1500 a terminating or non terminating decimalexpansion? (CBSE 2009-1M) |
|
Answer» If a fraction , in its lowest terms , denominator has no other prime factors except 2 and 5 it can be expressed as a terminating decimal. First we have write 51 / 1500 in it's least form 51 / 1500 = ( 3 × 17 ) / ( 3 × 500 ) After cancellation , we get 51 / 1500 = 17 / 500 denominator = 500 = 2 × 2 × 5 × 5 × 5 Therefore , The denominator has no other prime factors except 2 and 5 . 51 / 1500 is terminating decimal. 51 / 1500 = 17 / ( 2^2 × 5^3 ) = ( 17 × 2 ) / ( 2^3 × 5^3 ) = 34 / ( 2 ^3 × 5^3 ) = 0.034 ( terminating decimal ) |
|
| 20. |
7. Construct the following angles and verify by measuring them by a protractor.(ii) 37 °(v) 105°(ii) 52o(vi) 135°22(iv) 72 |
| Answer» | |
| 21. |
The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbaorder, we obtain an A.P. Find the numbers.If arainPow that |
| Answer» | |
| 22. |
Sum of the areas of two squares is 260 m². If the difference of their perimeter is 24 m thenfind the sides of the two squares.gite and this number is also equal to 5 |
|
Answer» 14 is the answer of this sum |
|
| 23. |
\left. \begin{array} { l } { 2 + 3 = 5 } \\ { 3 + 7 = 17 } \\ { 4 + 5 = 19 } \\ { 5 + 8 = 37 } \\ { 6 + 7 = ? ? } \end{array} \right. |
|
Answer» i think so ans will be 41...if it"s wrong please comment |
|
| 24. |
ăhe third term's 16-and dr11eRonalo.5th9th-lemys 12 thenĺ4an dHexman A2 |
| Answer» | |
| 25. |
4. Ifis a root of the quadratic equation x2+ lo, nd the value of k |
|
Answer» Plug 1/2 in for x, then solve for k (1/2)² + k(1/2) - 5/4 = 0 1/4 + 1/2k - 5/4 = 0 1/2k + (1/4 - 5/4) = 0 1/2k - 1 = 0 1/2k = 1 k = 2 |
|
| 26. |
9.In Δ ABC, L60°, 4-40° Which side of this triangle is the smallest? Give reason for your answer. |
| Answer» | |
| 27. |
7. In ⳠABC, m LA-_ and m LB = 45°, find the m LC27tCin both the systems. |
| Answer» | |
| 28. |
radióat23%gain,thenatwhatlossper cent didhe sell the other radio?her Order Thinking Skills (HOTS)A's height is more than B's height by 20%. Bywhat per cent is B's height less than A's height? |
| Answer» | |
| 29. |
ligher Order Thinking Skills (HOTS)0. A's height is more than B's height by 20%. Bywhat per cent is B's height less than A's height? |
| Answer» | |
| 30. |
8. Solve for x and yx +[HOTS, CBSE 2009, 17] |
| Answer» | |
| 31. |
7. The product of two numbers is 10368 and their HCF is 12. Find their LC8. The product of two numbae i 26200 |
|
Answer» product of two numbers is 10368HCF is 12so LCM=10368/12=864 |
|
| 32. |
teral ABCDL8-90", <C-LD-60° and LA-LC-LD = 10°. Find LA, LC and 20.9. In quadrila90% |
|
Answer» A+B+C+D=360 A+C=180 B+D=180 SINCE ABCD IS A QUADRILATERAL G.T. C-D=60 & A-C-D=10 & B=90 ANGLE D=180-ANGLE B 180-90=90 ALSO GIVEN, ANGLE C- ANGLE D=60 ANGLE C =60 + ANGLE D =60+90=150 SINCE ABCD IS A QUADRILATERAL, ANGLE A+ ANGLE C=180 SO ANGLE A =180-ANGLE C=180-150=30 ANGLE A=30 DEGREES ANGLE C=150 DEGREES ANGLE D=90 DEGREES |
|
| 33. |
OIA boy standing on a herizontal plane finds a bird ilying at a distance of 100m from him at anelevation of 30. A girl standing on the roof of 20m high building , find the angle of elevation ofthe same bird to be 4s both the boys and girl are on the opposite sides of the bird , find thedistance of bird from the gil ANS (302 m |
| Answer» | |
| 34. |
find the length of each side of the squares whose perimeter is (1) 48m |
|
Answer» hii |
|
| 35. |
c ^ { 2 } = ( a - b ) ^ { 2 } \operatorname { cos } ^ { 2 } \frac { C } { 2 } + ( a + b ) ^ { 2 } \operatorname { sin } ^ { 2 } \frac { C } { 2 } |
| Answer» | |
| 36. |
2a) Which number is to be subtracted from 102 + 22 to get (10-2)2? 10 |
|
Answer» 20²-4² i not sure this ans is right 104-2 =102(10-2)²is the best answer 40 is the correct answer 102 is right answer hai 102 is correct answer according to your question 40 iS correct answer if we subtracted to 40 from 10²+2² to get We (10-2)². So right answer is 40. 40 is the ans of this question 40 is the correct answer 40 is the right answer 40 is the correct answer 40 should be substracted the correct answer is 40 102 is the write answer in your question let the number be x104+4-x=100+4-4o-x=104-40-104-x=-40X=40 40 is the right answer 40 is the right answer subtracted number is 40 40 is the right and best answer so please like me 40 is correct answer 40 is the correct answer h The correct answer is 40 8 is a right answer by rule 40 is the correct answer for this question 10*10=1002*2=4100+4=10410-2=88*8=64104-64=40104-40=64 Answer |
|
| 37. |
If a box of pens is given to 25 children, they will get 2 pens each. How many would each get, if the no of children is reduced to 10? |
|
Answer» Number of pen received by 25 children =2 Number of pen received by 10 children=25×2=10×X=25×2/10=X X=5 Each will get 5 pens |
|
| 38. |
Which number is to be subtracted from 102 + 2 to get (10-What is to be subtracted from a- + b2 to get (a - b)?? |
| Answer» | |
| 39. |
3. Find the circumference of a circle of radius 15 cm. [Take = 3.14.] |
| Answer» | |
| 40. |
(3) In the figure, the centre of the circle is O. LST-40(i) in (arc SP) = ? By which theorem?(ii) mZSOP-? Give reason40 |
|
Answer» m (arc SP) =1/2×M ANGLE STP ....... INSCRIBED ANGLE THEOREM. M ANGLE SOP =M(ARC) SP |
|
| 41. |
If n is an odd integer, then show that n- I is divisible by 8.8ă Find the value of P for which the following equation has two equal roots(P- 121' + 2 (P-12) x +20132 |
| Answer» | |
| 42. |
HOTS33. A copper wire of diameter 6 mm is evenly wrapped on a cylinder oflength 18 cm and diameter 49 cm to cover its whole surface. Find thelength and the volume of the wire. If the density of copper be 8.8 g perHOTS]cu-cm, find the weight of the wire. |
| Answer» | |
| 43. |
33. A copper wire of diameter 6 mm is evenly wrapped on a cylinder oflength 18 cm and diameter 49 cm to cover its whole surface. Find thelength and the volume of the wire. If the density of copper be 8.8 g perHOTS]cu-cm, find the weight of the wire. |
|
Answer» answer not match with H H=46.2m |
|
| 44. |
17. Solve the following equation for x:9x2-9(p + q)x + (2p2 + 5pq + 2f)-0 |
|
Answer» Consider, 9x^2-9(a+b)x+(2a^2+5ab+2b^2)=0 9x^2- 9(a + b)x + (2a^2+ 4ab + ab + 2b^2) = 0 9x^2- 9(a + b)x + [2a(a + 2b) + b(a + 2b)] = 0 9x^2- 9(a + b)x + [(a + 2b)(2a + b)] = 0 9x^2– 3[(a + 2b) + (2a + b)]x + [(a + 2b)(2a + b)] = 0 9x^2– 3(a + 2b)x - 3(2a + b)x + [(a + 2b)(2a + b)] = 0 3x[3x – (a + 2b)] - (2a + b)[3x + (a – 2b)] = 0 [3x – (a + 2b)][3x - (2a + b)] = 0 [3x – (a + 2b)] = 0 or [3x - (2a + b)] = 0 3x = (a + 2b) or 3x = (2a + b)x = (a + 2b)/3 or x = (2a + b)/3 |
|
| 45. |
Find $: a^{2}+b^{2}+c^{2},$ if $a+b+c=9$ and$a b+b c+c a=24$ |
| Answer» | |
| 46. |
ORIf n is an odd positive integer, show that (n2- 1) is divisible by 8. |
|
Answer» Any odd positive integer is in the form of 4p + 1 or 4p+ 3 for some integer p. Let n = 4p+ 1,(n2– 1) = (4p + 1)2– 1 = 16p2+ 8p + 1 = 16p2+ 8p = 8p (2p + 1)⇒ (n2– 1) is divisible by 8.(n2– 1) = (4p + 3)2– 1 = 16p2+ 24p + 9 – 1 = 16p2+ 24p + 8 = 8(2p2+ 3p + 1)⇒ n2– 1 is divisible by 8.Therefore, n2– 1 is divisible by 8 if n is an odd positive integer. |
|
| 47. |
C2, find "C2" |
|
Answer» If ⁿCₓ = ⁿCᵤ then, x + u = n Here, nC8 = nC2so, according to results , n = 8 + 2 = 10 hence, n = 10 Then,nC2 = 10C2 = 10!/2!(10-2)! = 10*9*8!/2*1*8! = 90/2 = 45 |
|
| 48. |
y, dogandy (8) âen then |
|
Answer» f(x) = log x and g(x) = e^x fog(x) = f(g(x)) = log(e^x) = x log (e) = x |
|
| 49. |
areas of the squares whose sides are(b) 14 cm(c(a) 10em |
| Answer» | |
| 50. |
Find the area of a triangle whose sides are 9 cm, 12 cm |
|
Answer» this is a Pythagorean triangle so, area = 1/2*B*P 1/2*9*12 = 54cm². |
|