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. |
के. »//. 2८: «2 82.S |
| Answer» | |
| 2. |
a2-b2-c2+2bc |
|
Answer» If you like the solution, Please give it a 👍 Thnx |
|
| 3. |
Two angles measure (40-a) and (120+2a). If both the angles are supplementary of one other, find the value of a? |
|
Answer» if they are supplimentary then their sum will be 180°(40-a)+(120+2a(=180160+a=180a=20 |
|
| 4. |
3. In the adjoining figure, ABCD is a trapeziumin which ABIl DC. If <A = 55° and.<B = 70°,find ZC and LD70°55° |
| Answer» | |
| 5. |
11) Two angles measure (40-a)' and (120+2ay. If both the angles are supplementary of oneother, find the value of a? |
|
Answer» supplementary angles so addition is 18040-a+120+2a=180160+a=180so a=180-160=20 |
|
| 6. |
6. The cost of 48 wrist watches is 4722.24. Find the cost ofone wrist watch. |
|
Answer» 0.0101647 is the answer 0.0101647 is correct answer just divide 4722.24-48 =4722.24÷48solve and get the answer |
|
| 7. |
ĺuest10n numoers 13 22 3 mtocarpyarks each.Vp+2q+/p-2q, then show that : qx2-px +q=0. |
| Answer» | |
| 8. |
arks each(1-3-3)1.The volume and surface area of a sphere are numerically equal. Find the radius of the sphere |
|
Answer» Radius will be 3 unit 4/3πr^3= 4πr^2sor= 3 unitplease like the solution 👍 ✔️ please like the solution 👍 ✔️and check previous Answer as well |
|
| 9. |
Verify that:(a) la +bla - b)+(b-+a+ a) |
| Answer» | |
| 10. |
211) Two angles measure (40-aother find the value of a?and (120+2a). If both the angles are supplementary of oneCnon |
|
Answer» two angles are supplementary when sum of them is 180° 40 - a + 120 +2a = 180a + 160 = 180a = 20 |
|
| 11. |
Check whether the following a |
|
Answer» (x +1)² = 2(x -3) x² + 2x + 1 = 2x - 6 x² +7 = 0 Degree is 2 so given is quadratic |
|
| 12. |
Q.1 The perimeter ofrectangular sher is 140m. It、the length İs 35 n. tìnd itsbreadhh. Also find is aroa, 1125m2 Find the area of the given figure |
|
Answer» question kounsa h ye to batao pic clear nhi h question ki .............. the breath is 35 and the area is 35*35=1225 |
|
| 13. |
Check whether 25110 is divisible by 45. |
|
Answer» In order totestthedivisibility of25110by45we will have tocheck thedivisibilityof this number by both 9 and 5. Sum of digits of25110is 2 + 5 + 1 + 1 + 0 = 9, which isdivisibleby 9 now as last digit is 0 it is divisible by 5 . So, Yes 25110 is divisible by 45 |
|
| 14. |
Check whether 61 is in the sequence 5,11,17,23....... |
|
Answer» 61 term; 5+61(6)=5+366=371 371 the correct answer of the given question let n th be 61a= 5, d= 11-5= 6a+(n-1)d=615+(n-1)×6=615+6n-6=616n-1=616n= 62n= 62/6= not a whole number so 61 is not in sequence |
|
| 15. |
4. Check whether (5,-2),(6, 4) and (7,-2) are the vertices of an isosceles triangle. |
| Answer» | |
| 16. |
Check whether -150 is a term of the AP |
|
Answer» a=8 d=5-8=-3-150=a+(n-1)d=8+(n-1)(-3)-158=(-3)(n-1)so n-1=158/3=52.67which is not possible so -150 is not a term |
|
| 17. |
Two numbers are in the ratio 3 : 4. If their LCM is 180, find the numbers.Hint. Let the required numbers be 3x and 4x.4.Then, their LCM is 12x. |
| Answer» | |
| 18. |
pcnmietet and area.. The area of a square field is 225 sq. m. Find the(i) length of the side(i) perimeter of square field. |
| Answer» | |
| 19. |
Two numbers are in the ratio 3: 4. If their LCM is 180, find the numbers.14.Fiat. Let the requtred numbers be 3x and 4.x.Hint. LetThen, their LCM is 12x. |
| Answer» | |
| 20. |
x3+22, check whether x+is irrational or rational. |
| Answer» | |
| 21. |
pyal equivdience relation.3015. Let a relation R be defined on set Z of integers by xRyy:x, ye Z. Shothat R is an equivalence relation |
|
Answer» So the given relationship is equivalence relation |
|
| 22. |
Check whether 17/210 is terminating or non-termicating |
|
Answer» Answer => factorization of denominator 210 => 2 x 3 x 5 x 7 So the factorization is not of the form2^n x 5^m So it is non terminating repeating number |
|
| 23. |
EXERCISE 7.2Factorize the following:(a) ab - cb + ad cd |
|
Answer» b(a-c)+d(a-c)(a-c)(b+d) |
|
| 24. |
2. Show that the relation R on Z defined by R- (a, b): a- b is even ) is an equivalencerelation. |
| Answer» | |
| 25. |
31 and Jas 6211 40 and |
| Answer» | |
| 26. |
19. Show that the relation R in the setA 1,2,3,4,5) given by R-{(a.b):la-b) isdivisible by 23,is an equivalence relation.Write all the equivalence classes of R[CBSE 2015] |
| Answer» | |
| 27. |
If the area of triangle with vertices (z, 3),(4,4) and (3, 5) is 4 square units, find x. |
| Answer» | |
| 28. |
the degree measure of three angles of a triangle are x, y and z if z=x+y/2 then find the value of z |
| Answer» | |
| 29. |
Check whether 4^{n} can end with a digit zero for any natural number |
| Answer» | |
| 30. |
1.4 Check whether 4 and 25 are co-prime or not? |
|
Answer» NOT is correct answer yes they are co prime because its hcf is 1 not is the correct answer of the following Answer co-primenumbers are numbers which have no positive factors in common other than1co-primenumbers are also sometimes called relatively prime. As an example:12has positive factors:1,2,3,4,and6and35has positive factors:1,5,and7 Since the only positive factor12and35share is1,they are co-prime. |
|
| 31. |
Check whether (4 x-3)^{2}-16 x^{2}+15=0 is a quadratic equation or not |
|
Answer» 16x^2+9-24x-16x^2+15=024-24x=01-x=0hence not a quadratic equation it is linear as highest power is 1 |
|
| 32. |
Area ofrectangular field is 3584 m2and the length and thebreadth are in the ratio7:2 respectively What is the perimeterof the rectangle ? |
|
Answer» Area of the rectangular field = 3584 M2. Length of the rectangular field = 64 Mtrs. Area of rectangle = Length x Breadth So 64 x Breadth = 3584 Breadth = 3584/64 = 56 Mtrs. Total distance to be ran by the boy = 5 x Perimeter of the rectangula Field = 5 x 2(Length + Breadth) = 5 x 2(64 + 56) = 10 x 120 = 1200 Mtrs.= 1.2 Kms. Speed of the boy = 6 Kms/Hr So the time the boy will take = 1.2/6 = 0.2 Hrs x 60 = 12 Mins. Ans: 12 Mins. |
|
| 33. |
l-tan'AI tan' AAlf3cotA+ 4, check whether |
|
Answer» 3cotA = 4cotA = 4/3So, tanA = 3/4 , sinA = 3/5 , cosA = 4/5L.H.S = (1 – tan2A)/(1 + tan2A) = (1 – 9/16)/(1 + 9/16) = 7/25.R.H.S = cos2A – sin2A = 16/25 – 9/25 = 7/25So, L.H.S = R.H.SYeah , it can be proved directly ,L.H.S = (1 – tan2A)/(1 + tan2A) = cos2AR.H.S = cos2A – sin2A = cos2ASo, L.H.S = R.H.S |
|
| 34. |
Check whether the numbers 4, 12, 36, are in proportion. |
|
Answer» yes they are in proportionthey are following the series of 4/12= 12/36as these two ratio are same |
|
| 35. |
EXERCISE 14.1. Factorise the following expressions.G) a+ 8a+ 16 () -10 p +25, |
| Answer» | |
| 36. |
4. Check whether (5, 2), (6, 4) and (7, 2) are the vertices of an isosceles triangle. |
| Answer» | |
| 37. |
Exercise 141. A point moves such that its distance from a fixed line AB is always the samis the relation between AB and the path travelled by P? |
|
Answer» When two line are with same distance at any point then these two lines are parallel to each other .As here path travelled by Point " P " is having same distance from a fixed line AB. |
|
| 38. |
EXERCISE 14Factorize :1. 5xy 20x - 9y - 36 |
| Answer» | |
| 39. |
EXERCISE 2(D)1. Evaluate :45-13(iv) ~39 * 152. Multiply:1 and 18los his and(vi) sã and -16(x) 3., and -10(wit) 35 and(vi) 2 14 and 7(b) oz and -(xit - 24 and 2and -14Concise MATHEMATICS Middle Sch |
|
Answer» djdjhbmmajjiaisaiaiaaiiaiw |
|
| 40. |
EXERCISE 4.11) Find t, for the following A.P.si) 4,9, 14, 19,14 16i) 4, 3 3,6, |
|
Answer» For AP nth termtn = t1 + (n - 1)d 1) Given t1 = 4, d = 9-4 = 5tn = 4 + (n-1)5tn = 4 + 5n - 5tn = 5n - 1 2) Given t1 = 4, d = 14/3 - 4 = 2/3tn = 4 + (n-1)2/3tn = (12 + n - 1)2/3tn = (22 + 2n)/3 |
|
| 41. |
tep 6: Join AB and ACExercise 14(B)YZ in which XY = 4.5 cm1. Construct a triangle XZ 5 cm and ZX,-6 cm. |
|
Answer» Use the Scale, and draw a triangle, triangle XYZXY - 4.5 cmYz - 5 cmZx - 6 cm |
|
| 42. |
151-6-6+58 |
|
Answer» 151-6-6+58=209-12=197 answer. 151-5-6+58=151+58-6-6=209-12=197 |
|
| 43. |
Level 234. Find the value of |
|
Answer» As power have √99 - √97 and again a bracket with same power both will get multipled. Therefore, (√99 - √97) ( √99 - √97) = (√99)² - (√97)² = 99 - 97 = 2 So, we get (a/b)² as answer |
|
| 44. |
2624 : 7 :: 3584 : ______ |
|
Answer» no it's wrong answer |
|
| 45. |
. (45) - (151) बराबर है |
|
Answer» 00000000000000001800 (45+15)(45-15)60*301800 |
|
| 46. |
5. The value of 34 +32+30 t++10 is: |
| Answer» | |
| 47. |
WK 31 (214-151) |
|
Answer» (secA-1)/(secA+1) = (1/cosA - 1)/(1/cosA + 1) = (1-cosA)/(1+cosA) |
|
| 48. |
1015-16) 152 154(d) 151 |
|
Answer» a is the answer of the following a is the correct answer |
|
| 49. |
EXAMPLE 6 Ina A ABC, if 22A = 3 ZB = 6 2C, determine ZA, ZB and ZC. |
|
Answer» we knowA+B+C= 180 In a triangle, Sum of all three angles is equal to 180°.Therefore A + B + C = 180° ------------------(1)and given that, 2A = 3B = 6C ⇒ A = 3C, B = 2CFrom eqn (1), A + B +C= 180° ⇒3C + 2C +C= 180° ⇒ 6C = 180° ⇒ C = 180/6 = 30°ThereforeA= 3C = 3×30 = 90° and B = 2C = 2×30 = 60° answer are 30 60 and 90 please thank A + B + C = 180; GIVEN 2A=3B=6C = A=3C, B=2C; A + B + C = 180; 3C + 2C + C = 180; 6C=100; C=100/6=30; A=3C= 3X30=90; B=2C=2×30=60 |
|
| 50. |
If 5-332-8-225, then the value of :x is3.22r-822(A) 3(c) 2S/2/211-A(B) 4(D) 5 |
|
Answer» 5^x-3. 3^2x-8 = 225We can write 225 as follows:-225 = 3 × 75 = 3 × 3 × 25 = 3 × 3 × 5 × 5∴ 5^x-3. 3^2x-8 = 5²×3²Compare both,5^x-3=5² | 3^2x-8=3²Bases are equal exponents must be equal.x-3=2. | 2x-8=2x=5. | 2x=10,x=5 Therefore,the value if x is 5 |
|