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.

I. In Δ ABC, right-angled at B, AB-24 cm, BC-7 cm. Determine :(i) sin A, cos A(i) sin C, cos C

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2.

tat4. / In Δ ABC, right-angled at B. АВ-24 cm, BC-7 cm. Determine :-(i) sin A, cos A) sin C, cos C

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3.

later Uh the rod, which is at aioinm the end in contact with the x-axis5. A beam is supported at its ends by supports which are 12 m apart.Since theload is concentrated at its centre, there is a deflection of 3 cm at the centre.and the deflected beam is in the shape of a parabola. How far from thecentre is the deflection 1 cm?

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Since the axis of parabola isyaxisSo, let the equation of parabola bex2= 4ayalso R is the mid point of PQRQ=PQ/2 =6m =600 cmand OR = 3 cm∴ Coordinates of Q are (600, 3)⇒ (600)2= 4a× 3⇒a= 30000⇒x2= 4 × 30000y= 120000yLet the deflection is 1 cm of a distancexcm from the vertex i.e. origin (0, 0)∴ BC = AC – AB = 3 – 1 = 2 cmNow B (x, 2) lies on the parabola⇒x2= 120000 × 2 = 240000x= 200 root 6 cm = 2 root 6 cmHence, the deflection is 1cm at a distance of 2 root 6 m from the centre

4.

A train running at a speed of 80 km/h can cover a certain distance in 45 minutes. How long willit take to cover the same distance if its speed is increased by 10 k1.m/h?

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For this first find distanceHenceDistance=speed*timeDistance=80/60*45=60km..as 1hr=60minshenceIf speed increased by 10km/hr that is 90km/hrHence,Time=Distance /speed=60/90=0.66hr

tanks

thank you

5.

2018-19271en were examined in a hospital by a doctor and the number of heart beats perwere recorded and summarised as follows. Find the mean heart beats per minute4. Thirty womenexese women, choosing a suitable method.-83er of heart beats 65-68 68-71 71-74 74-77 77-80per minuteSumber of women4

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Thank you

6.

MATHEMATICS4Thirty women were examined in a hospital by a doctor and theminute were recorded and summarised as follows. Find the mefor these women, choosing a suitable method.number of heartbeats peran heartbeats per minuteNumber of heartbeats 65-68 168-71 71-14 14-77 77-80 80per minute-83 83-86Number of women442In a retail market, fruit vendoro

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7.

2. Find the area of the shaded part of the following figures. (r = 3.14)7 cm10 cmwhich is got by

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8.

2-3 522. If A-1 4 5 ,show that A A1 -3-4

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Meaning of grade

9.

In Fig. 7, AB and CD are two diameters of a circle with centre O perpendicularOD is the diameter of the smaller circle. If OA 7 cm find the area of shaded rto each other and

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10.

ক1. নীচের সংখ্যারেখা থেকে মান নির্ণয় করি" -12-11-10 -9-8-1-6-5 -4-3।(i) (+6) + (+3) = _(iii) (+2) + (-2) = ||(v) (+3) + (-6) = 0(vii) (+6) - (-9) = []| (iy) (-6) + (-5) = []

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(I) 9 (iii) 0(v) -3(vii) 15

(i) 9(iii) 0(v) -3(vii) 15(ix) -11

(i)9(iii)0(v)-3(vii)15(ix)-11

1= 92=03=-34=155=-11

please like it

the solubility is simple as -6 is greater so solution will be negative which is -3

(1) 9(3) 0(5) -3(7) 15(9) -11is a correct answer

11.

\left. \begin{array} { c } { = - \frac { 22 } { 3 } - i \frac { 107 } { 27 } = a + i b } \\ { = 4 - i 3 } \\ { = 4 - i 3 } \\ { \text { inlicative inverse of } z = 1 } \end{array} \right.

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sir answer the first question I have posted

12.

W8 spheres are in the ratio 64:27. Find the difference of their surface areas, ifTME DOrGTNe uh Rthe sum of their radii is 7.19. The largest sphere is curved out of a cube of a side 7 cm. Find the volume of the sphere.

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Given: The largest sphere is curved out of a cube of 7cm.

∴The length of the side of square= diameter of square ∴d=7cm =>r=7/2cmWe know that, volume of sphere= 4/3r³ = 4/3 x 22/7 x (7/2)³ = 4/3 x 22/7 x 7/2 x 7/2 x 7/2 = 4/3 x 22 x 1/2 x 7/2 x 7/2 = 2/3 x 22 x 7 x 7/2 = 2/3 x 22 x 7 x 7 = 2/3 x 22 x 49 = 2/3 x1078 = 2156/3 = 718.66cm^3 ∴ Volume of sphere = 718.67cm³

13.

ht-angled at B, AB 24 cm, BCIn AABC,(0) sin A, cos A(i) sin C, cos C7 cm. Det, In Fig. 8.13, find tan P- cot R.calculate cos A and tan A.

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14.

In the fig., CP and CQ are tangents to a circle withcentre O. ARB is another tangent touching thecircle at R. If CP 11 cm, and BC 7 cm, then findthe length of BR.

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15.

उदाहरण 3 यदि 4: 8 न 1: 4 तथा 8: 0मान क्या होगा?6:17 हो, तो 4: 8:0 का

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3:12:34

16.

6*y^2 %2B 17*y %2B 12=0

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6y^2+17y+12=6y^2+9y+8y+12=3y(2y+3)+4(2y+3)=(2y+3)(3y+4); y=4/3, -3/2

17.

2 Determine the time taken whenm/a) distance 7150km speed 780 k(bi distance -8m speed -8cm/ se(e) distance 27 km, speed 45 km/h

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18.

vneet buys 9 square paving slabs,slabs.each with a side ofthem in the form of a square.m. He lays22(a) What is the perimeter of hisarrangement [Fig 10.70)]?(0i)Fig 10.7

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Perimeter of square=4*side

Side=(1/2)*3=3/2m

Perimeter=4*(3/2)=6m

19.

Avneet buys 9 square paving slabs,each with a side of 1/2 m. He laysthem in the form of a square.(a) What is the perimeter of hisarrangement [Fig 10.7(i)]?

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Given there are 9 suare slabs each with side of 1/2 m. The arrangement so formed is a square.Now side of a square = 3*side of square slab.So perimeter of the arrangement (square) = 4*(3*side of square slab) = 4*3*1/2 = 12/2 =6m

20.

I.Rajesh has cycled 25 km until now, but of the distance still remains to be cathe total distance he will cycle? Hint: fraction of distance already covered

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let total Distance = x km.3/5 distance still remains to cover =3x/5 kmhe covers the distance = x-3x/5 = 2x/5 km

A/Q2x/5 = 252x = 25*5 =125x = 125/2

Hence, the total Distance = 125/2 km ANS..

1

Secondary SchoolMath5 points

Rajesh can walk at 5 M per second on cycle at 20 metre per second. it takes 45 second to cover a distance of 600 M using a combination of two Modes of transport. how long did Rajesh cycle

Ask for detailsFollowReportbyDivyansh199919.06.2018

Answers

shivamdalmiaAmbitious

Speed he has of walking = 5 m/s

Let time taken on walking be pSpeed she has on cycle = 20 m/s

Let time taken on cycle be qSo, we have following equations

5p + 20q = 600p + q = 45So, p = 45 - qPutting this in 1st equation, we get5(45 - q) + 20q = 600225 - 5q + 20q = 60015q = 600 - 225q = 375/15q = 25Andp = 20Therefore, he cycled for 25 secs, and walked for 20 secs.

21.

cube is made by arranging 64 cubes having side of 1 em, find total surfacearea of cube so formed.6

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Total surface area=6(side)^2 =6×(64)^2 cm^2 =24576 cm^2

22.

linedthematrixinverse of-1 2231 41

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inverse=determinant of matrix × adjoint of matrix

determinant=2(12-1)-(-1)(4-1)+3(1-3)=2(11)+1(3)+3(-2)=22+3-6=19adj=11. 3. -2 -7. 5. 3 -10. -1. 7

inverse=19(adj) =209. 57. -38 -133. 95. 57 -190. -19. 133

changed row to column.

23.

CUIT UTote20. The trunk of a tree is cylindrical in shape and its circumference is176cm.If the length of the trunk s 3m. Find volume of timber that canbe obtained from the trunk.-1

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24.

What is trunk?

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In telecommunications, trunking is a method for a system to provide network access to many clients by sharing a set of lines or frequencies instead of providing them individually. This is analogous to the structure of a tree with one trunk and many branches.

25.

Prove the following identeties of Boolean Algebra (B,t,(a) a' ta'b a

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a' + a'b = a'( 1+ b) ..... Taking a' common= a'(1) ......... [1+ b = 1]= a'

26.

Avneet buys 9 square paving slabs,each with a side of 1/2 m. He laysthem in the form of a square.

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1

2

27.

7. Avneet buys 9 square paving slabs,each with a side of m. He laysthem in the fornt of a square2

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thanks

28.

In parallelogram ABCD, two points P and Q aretaken on diagonal BD such that DP(see Fig 8.20). Show that: ΔAPD Δ CQB9.BQ(iii) ΔΑΟΒ Δ CPD(v) AQ CP(v) APCQ is a parailelogramFig. 8.20

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29.

eet buys 9 square paving slabs,each with a side of m. He laysthem in the form of a square.(a) What is the perimeter of his2arrangement [Fig 10.70)]?

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30.

SECTION: B5. Prepare the truth table for [(p q)Aq)- p

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31.

hirtywomen were examined in a hospital by a doctor and the nuThirtywere recorded and summarised as follows. Find theminute wePer te for these women, choosing a suitable methoded as follows. Find the mean heart beats perNumber of heart beats 65-68 68-71 771-74 74-77 77-80 80-83 83-86per minuteNumber of women24423

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32.

4.Thirty women were examined in a hospital by a doctor anthe number of heart beatsas follows. Find the mean heart beats perper minute were recorded and summarised as follows. Fitnpintute fo r these women.choosinga suitable methiodNumber of heart beats 65-68 68-7171-74 74-7per minuteNumberof women77-80 80-83 83-864224

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thanks

33.

octor and their of heart beats permean heart beats per minuteThirty women were examined in a hospital by a doctor and their olminute were recorded and summarised as shown. Find the mean heart beaufor these women, choosing a suitable method.ber of heart beats/minute 65-68 68-71 71-74 74-77 77-80 80-83 83-86mber of women2 4 3 8 7 4 220LI

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34.

ctor and their of heart beats per30Thirty women were examined in a hospital by a doctor and their olminute were recorded and summarised as shown. Find the mean heart beatsfor these women, choosing a suitable method.mber of heart beats/minute 65-68 68-71 71-74 74-77 77-80 80-83 83-8art beats per minute-706umber of women1243 1 842

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Hence, the mean heart beats per minute for women is 75.9.

35.

women were examined in a hospital by a doctor and their of heant beats perThirtyminute were recordedfor these women, choosing a suitable method.and summarised as shown. Find the mean heart beats per minuteNamber of heart beats/minute 65-68 68-71 71-74 74-777780 80-83 83-864Number of women

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36.

In the fig., CP and CQ are tangents to a circle withcentre O. ARB is another tangent touching thecircle at R. If CP 11 cm, and BC 7 cm, then findthe length of BR

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37.

4. In figure, CP and CQare tangents to a circlewith centre O. ARB isanother tangent touchingthe circle at R. If CP 11cm and BC 7 cm, thenfind the length of BR.

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38.

CP and CQ are tangents to a circle with centre O. ARB is anothertangent touching the circle at R. If CP 11cm, BC 7cm, then thelength BR is:(a) 11cm (b) 7cm(c) 3cm(d) 4cm

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39.

In fig., XY and X'Y' are two parallel tangentsto a circle with centre O and another tangentAB touching at C, intersecting XY at A andX,Y, at B. Prove that LAOB = 90°.Y'X'

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thanks

40.

https://www.google.co.in/searIn fig., XY and X'Y' are two parallel tangentsto a circle with centre O and another tangentAB touching at C, intersecting XY at A andX,Y, at B. Prove that LAOB = 90°.Y'

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Thanks

41.

7¡ Prove that first law of logarithms ? (Learn all laws)

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The first law is product rule: logₐ xy = logₐ x + logₐ y

Step 1:

Let m = logaₐ x and n = logₐ y

Step 2: Write in exponent form

x = a^m and y = a^n

Step 3: Multiply x and y

x • y = a^m • a^n = a^(m+n)

Step 4: Take log a of both sides and evaluate

logₐ xy = logₐ am+nlogₐ xy = (m + n) logₐ alogₐ xy = m + nlogₐ xy = logₐ x + logₐ y

Tan q

42.

Find the logarithms of the following numbers to the base 2.() 1 () 2 (i) 4 (iv) 8

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(1).log21 = 0(2).log22 = 1(3).log24 = 2(4).log28 = 3

log2 1=0log2 2= 1log2 4=2log2 8 =3

log2 1=0log2 2=1log2 4=2log2 8=3

43.

7.Prove that first law of logarithms? (Learn all laws)

Answer»

The first law is product rule: logₐ xy = logₐ x + logₐ y

Step 1:

Let m = logaₐ x and n = logₐ y

Step 2: Write in exponent form

x = a^m and y = a^n

Step 3: Multiply x and y

x • y = a^m • a^n = a^(m+n)

Step 4: Take log a of both sides and evaluate

logₐ xy = logₐ am+nlogₐ xy = (m + n) logₐ alogₐ xy = m + nlogₐ xy = logₐ x + logₐ y

44.

निकालें।d313

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y = x^4

dy/dx = 4x^3

d^2y/dx^2 = 12 x^2

d^3/ dx^3 = 24x

45.

बिन कट * भिन्यिएन 2 S मनन o | +WEl WE D3| S W blioh4 LiRK 1५% Lek|hE bislkb] 2kl P8] ‘2 lek ॥ bbkehlie [ byBt blo 12 L2t 1४ l % 2b 1 ik Lok 919 b 2ib o] € 12 teYoh 3l b [85(पा bl हक डक १ पे] T£ 961 () mmmuwm 5६1छह

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46.

LogarithmsA-85I1.then prove that 3logm - 4logn -4l0g2 2logp kogy

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47.

贰at (4-21) (4-31)弧前 尔!1 21

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48.

on the same base deà AB, they are equality4. Find the area of a trapezium whose parallel sides are 9 cm and 6 cmrespectively and the distance between these sides is 8 cm. O) Calculate the area of quad. ABCD, given in Fig. (i).(ii) Calculate the area of trap. PORS, given in Fig. (ii).Il parallels PC and AB, they) = ar(ABPC)(ii), we get: ar(ABPC) = ar(ADPQ).figure, two parallelogramsEB are drawn on oppositee thatD) + ardigm AEFB)SBomRD17 cmB cm08 emВ Cm4)=anlleu

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49.

12002,800. If it increases at a constant rate of 4% per annum, then what was the population 2नसंख्या 2,02,800 है। यदि यह प्रति वर्ष 4% की समान दर से बढ़ती है, तो 2 वर्ष पहले जनसंख्या क्या थी7,500

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187500 is the right answer

50.

3x-y=3;9x-3y=9 by sublimation method

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3x-y=3 -----(1)

9x-3y=9------(2)

x= 3+y / 3

9 ( 3+y / 3) = 9

27+9y /3 = 9

27 +9y = 9*3

9y = 27-27

9y =0

y=0/9

y=0

(put value of y in 1st equation)

3x-y=3

3x-0=3

3x=3

x=3/3

x = 1

(1,0)

therefore, value of x and y by substitution method is 1 and 0

3x-y=3; 9x-3y=9; 3(3x-y=3) 9x-3y=9, 9x-3y=9/3y+3y=18, 6y=18; y=18/6=9/3 =3; 3x-y=3; 3x=3+3=6; x=6/3=2

X= 1 ,Y= 0 is the correct answer of the given question

x=1 AND y=0 hope you like it