Explore topic-wise InterviewSolutions in Current Affairs.

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.

又uest10n 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