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4801.

4. Find the angles of a triangle which are in the ratios5. In fig. (i) PQR, PQ=PR, ÎnASQR. SQ = SR. Find the value ofX.60°120°ㄨㄔ

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4802.

In each of the given figures, two lines l and m are cut by a transversal t.Find whether 내 m.12540°35°145°60°130°

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4803.

6. In the figure, PQR is a triangle right angled atPX : XQ = 1 : 2, Calculate the lengths of PR and QR.Q and Y 11 OR If PQ = 6 cm, PY= 4 cm, and

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BASIC PROPORTIONALITY THEOREM (BPT) : If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. This is also known as Thales theorem.

GIVEN:∠Q= 90° , XY || QR, PQ = 6cm, PY = 4cm & PX : XQ = 1 : 2

Since, XY || QR,PX/XQ = PY/YR

[ By Thales theorem (BPT)]½ = PY/YR [PX : XQ = 1 : 2]½ = 4 /(PR - PY)

[YR= PR - PY]

½ = 4 /(PR - 4)PR - 4 = 2 × 4PR - 4 = 8PR = 8 +4

PR = 12cm

In right ∆PQR,PR² = PQ² + QR²

[ By Pythagoras theorem]12² = 6² + QR² [Given : PQ= 6cm]144 = 36 + QR²144 - 36 + QR²108 = QR²

QR =√108 =√ 3×36 = 6√3 cm

Hence, the lengths of PR and QR is 12 cm.& 6√3 cm.

4804.

Convert ? 25 into paise.

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4805.

Convert into paise,(a) 8.56

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then we convert 8.56rupees in paise then equal 856paise

1 rupee is equal to 100 paise8.56 rupees is equal to 856 paise

8.56 is 856 praise ,that is 1rupee is 100 paise

4806.

The perimeter of a triangle is 450 m and its sides are in ratio 12:5:13. Find thearea of the triangle

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Perimeter = 450sides in ratio = 12:5:13suppose the sides in ratio =12x , 5x ,13x12x + 5x + 13x = 450 ( perimeter of triangle ) 30x = 450x =450/30x =15

1st side = 12x = 12*15 = 180 m2nd side = 5x = 5*15 = 75m3rd side = 13x = 13*15 = 195m

find s,we know that s = a+b+c/2 ( semi - perimeter )180+75+195/2 = 450/2= 225

area of triangle = √s(s-a)(s-b)(s-c) = √ 225(225-180)(225-75)(225-195)= √ 225*45*150*30= √45562500= 6750m square ans

4807.

The perimeter of a triangle is 450 msides are in the ratio 12 : 5: 13. Find thearea of the triangle.andDarllal

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let the sides be 12x, 5x, 13x respectively. perimeter=12x + 15x + 13x

perimeter = 30xArea = 45030x=450x=15sides are 12*15=180cm 5*15=7513*15=195

12x + 5x + 13x =12x + 18x =30x; x=450/30=15, ;; 12(15) + 5(15) + 18 (15)= 180 + 75 + 270 = 3, 645, 000/450 =810

4808.

followingConvert the(a) 8.25into paise:

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1rupees =1000paisehence8.25rupees=8.25*1000=8250paise

825 paisa is the answer

1 rupee = 100 paise so, ₹8.25= 8.25×100= 825paise

4809.

2. Convert the following with stairc5000 cm =m

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since 100cm=1mthat's why 5000cm=50m

if 100cm is1 mso 5000cm is 50 m

Answer is, 5000cm=50m

5000cm/10050m in 5000cm

50 m is the correct answer of the given question

50m is correct answer.

50 is correct answer according to your question.

5000 cm = 5×1000 cm= 5m

5m is the right answer

50 my is a right answer

50 metre is right answer

since 100cm =1mthat's why 5000cm =50m

5000cm =50 because 100cm=1m

since 100cm =1mthat's why 5000cm = 50m

100cm=1m

5000=50m

(a) 5000 cm = 50 m is the correct answer

(a) 5000 cm = 50 m is the correct answer

50 m is the correct answer of the given question

5000 cm = 50 m is the best answer.

50 m kyggvdgjgdsfvbjhg

5000cm=50m is the best answer

50 m is correct answer of this question

5000cm=50m is the correct answer

50 meter is correct answer.

we know that,100cm=1m5000cm=50m

let me explain like i am 5Thok, let's startas we know 1km is equal to 1000 M and 1 M is equal to 100 Cm

as your questions

We shall discuss about Cm to M So, we Know 1M = 100 Cm 1 Cm = 1/100 m Now we multiple it by 5000 Cm

(5000*1/100 )= 50 M 50 M is finel answer.

..{ here * mean multiple sign}

4810.

Solve the following 1Convert Rs 7 into paise.

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7. ×100=7000

1 Rs = 100 paise 7 Rs = 7*100=700

7. × 100=700=700

1 rupee = 100 paise7 rupees = 700 paise

1 rupees=100paisa 7rupees=700paisa

1Rs=100 paiseand 7Rs=7×100=700 paisethis is the answer

1 rupees=100 paisa7 rupees= 700 paisa7× 100= 700

this question answer is =700paise

7 rupees = 70 paise.

solve:- 1Rs.=100 paisethen, 7Rs.=7×100 = 700 paisethis is the correct ans.

1 rs =1007rs=700 right answer

700 rs is right answer

4811.

Diagonal AC of อ paiallelapin ABCD hintaA ee ig 819) Show that6.ABCD is a rhombus

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i)In ΔADC and ΔCBA,

AD = CB

(Opposite sides of a ||gm)

DC = BA

(Opposite sides of a ||gm)

AC = CA (Common)

Therefore,

ΔADC ≅ ΔCBA

( by SSS congruence rule.)

∠ACD = ∠CAB ……(i)

(by CPCT)

∠BCA= ∠CAD…..(ii)

(By CPCT)

& ∠CAB = ∠CAD…..(iii)

(Given)

From eq i,ii,iii,

All 4 above angles are equal to each other..

Hence, ∠ACD = ∠BCA

Thus, AC bisects ∠C also.

(ii) ∠ACD = ∠CAD (Proved)

AD = CD (Opposite sides of equal anglesof a triangle are equal)

But, AB= CD & AD= BC

[Opposite sides of a parallelogram]

AB = BC = CD = DA

Hence, ABCD is a rhombus.

4812.

8. ABCD is a rectangle in which diagonal AC bisects 4 A as well as Z C. Show thatBCD is a square (ii) diagonal BD bisects L B as well as D

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4813.

6.Diagonal AC of a paraileiogram ABCD' bisectsZ A (see Fig. 8.19). Show thatG) it bisects Z Calso,(ii) ABCD is a rhombus.

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4814.

The points B(1, 3) and D (6, 8) are twho opposite vertices of a square ABCD. Find theequation of the diagonal AC.Hint. AC is the right bisector of BD.

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4815.

1.In Fig. 9.15, ABCD is a parallelogram, AE L DCand CF 1 AD . If ABCF 10 cm, find AD16 cm, AE8 cm and

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4816.

Let A = {p, q, r(. Which of the following isnot an equivalence relation on A?B. R2 = {(r, q), (r, p), (r, r), (q, q)}D. of these

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Inmathematics, anequivalence relationis abinary relationthat isreflexive,symmetricandtransitive. The relation "is equal to" is the canonical example of an equivalence relation, where for any objectsa,b, andc:

a=a(reflexive property),ifa=bthenb=a(symmetric property), andifa=bandb=cthena=c(transitive property).

As a consequence of the reflexive, symmetric, and transitive properties, any equivalence relation provides apartitionof the underlying set into disjointequivalence classes. Two elements of the given set are equivalent to each other if and only if they belong to the same equivalence class.

so accordingly Option (c) is not an equivalence relation

what is the answer

4817.

Add: p(p-q), q(q-r) and r (r-p)

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p(p-q) + q(q-r) + r(r-p)p²-pq + q² -qr+ r² -rpp²+q²+r² - pq-qr-rp

4818.

p ( p - q ) , q ( q - r ) \text { and } r ( r - p )

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4819.

\begin{array}{l}{\text { If } p-2, q=4 \text { and } r=-2, \text { find each of the }} \\ {\text { following: }} \\ {\text { a. } \frac{2 p}{q}} \\ {\text { b. } \frac{3 p^{3} q}{q^{3}}} \\ {\text { c. } \frac{2 q}{p}+\frac{3 r}{q}-\frac{4 p}{r}} \\ {\text { d. } \frac{p^{2}+p-2 q r}{4}}\end{array}

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a)2*2/4=1b)3(2)^2(4)/(4)^3=3/4c)(8-8+4)/-16=-1/4d)2*4/2+3*(-2)/4-4*2/(-2)=4-3/2+4=13/2e)(4+2+16)/4=22/4=11/2

4820.

7..) Determine whether lines /and moreparallel in the given figuresA.1109110B.298°

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A. l and m are parallel as they have same alternative angle

B. l and m are not parallel as they dont have same alternative angles

4821.

Determine whether the points are collinear(1 ) A( 1, -3 ), B( 2, -5), C( -4, 7)

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Explanation -Let the Points A(1,-3), B(2,-5), C(-4,7) beA(x₁, y₁), B(x₂,y₂), C(x₃,y₃).

Let us first find the Slope of AB, y(2) - y(1)m= ---------------- x(2) - x(1)

∴m = (-5 + 3)/(2 - 1) = -2/1 =-2

Now For th Slope of BC,= (7 + 5)/(-4 - 2) = 12/-6 = -2

Since, the Slope of both the lines AB, and BC are same therefore, Points are Collinear.

4822.

2Use the factor theorem to determine whether x - 1 is a factor of 202x3 + 5v2x? - 72

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4823.

Determine whether the given points are collinear(0,2), \quad \mathrm{B}(1,-0.5), \quad \mathrm{C}(2,-3)

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4824.

Divide Rs 132 between A and B in the ratio 12 : 13.[Hint: Convert rupees into paise]4.

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4825.

Convert 39 million $ in Rupees

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ans .2,59,81,80,000.00Indian Rupee

4826.

12. Convert 5000 paise into rupees.

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4827.

.15, ABCD is a parallelogram, AE丄DCCF LAD. If AB = 16 cm, AE-8 cm andIn Fig. 91.CF-10 cm, find AD

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4828.

amruta bought vegetable for 400 rupees sold them for 650 rupees Kalpana brought fruits for 300 rupees and sold them for 500 rupees who's transaction was more profitable

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4829.

Three persons start a business & spend Rupees 25,000, Rupees 15,000, and Rupees 40,000respectively. Find the share of each out of a profit of Rupees 14,400 in a year.

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4830.

ı Fig. 9.15, ABCD is a parallelogram, AE丄DCd CF丄AD. If AB = 16 cm, AE = 8 cm andF= 10 cm, find AD

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4831.

In Fig. 9.15, ABCD is a parallelogram, AE 1 DCand CPL AD. If AB = 16 cm, AE = 8 cm andCF= 10 cm, find AD

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4832.

Fig. 9.15.ABCD is a parallelogram,AE 1 DCInCF丄AD. If AB = 16 cm, AE = 8 cm andanCF= 10 cm, find AD

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4833.

Veriy that the sphere divides AB memally and eterthe perpendicular to เสื from the orign isI. - I. 2) lines are drawn to meetr ratio 2 3 Poe than the

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4834.

11 1.1-Solve for x:ミa+DAD İntersect each other at the point O such

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4835.

4. Prove that the perpendicular drawn from the point (4, 1) on the join of 2-I) nd(6,5) divides it in the ratio 5: 13.

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4836.

Example 17. Find equation of the line which isperpendicular to the line segment joining points(1, 0) and (2, 3) and divides it in ratio 1 : n.

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4837.

2015-F2A01BZ, WKRP20A; 2014-XJ81W7z; 2012-198. In the figure, two straight lines PQ and RSeach other at O. If ZPOT 75, find thentersectalues of a, b and c.R.8ol,2c46°75°169. In the e

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4838.

2. The area of a trapezium is 385 cm. Its parallelsides are in the ratio 3:4 and the perpendiculardistance between them is 11 cm. Its longer side1S :

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4839.

angle of 45e wittFind the equation of the straight line which divides the(-5, 8) in the ratio 3: 4 and is also perpendicular to it.4. Prove that the perpendicular drawn from the point (4, 1) on the join of(6,5) divides it in the ratio 5: 13.

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4840.

There are four letters and four envelops bearing addresses at random. The probability that theletters are placed in correct envelops is:

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4841.

. Roshan buys 8 kg chips for R 1240. Rohit buys 5 kgchips of the same quality. What does Rohit pay forthe chips? What is the total payment given by bothRoshan and Rohit?

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Explanation : 8 kg is of 1240 5 kg is of = 775 Rohit pays 775 Rs. Total payment = 775 + 1240 = 2015

Solution : 775 , 2015

If you find this answer helpful then like it.

775 Kaise Aaya Hai

4842.

6 green balls. Fllid muballs in the bag.2. Mohan gets1,350 from Geeta and650from Rohit. Out of the total money that Mohan 8gets from Geeta and Rohit, what percent doeshe get from Rohit?me nf a man is 16,000.

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Total money=650+1350=2000Answer=650×100÷2000=32.5%

Tq

4843.

t. The diameter of wheel of Surjeet's taxi is 42 cm. Find how many complete revolutionsmust it make to cover 396 metres.

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complete revolution = 396m/0.42

= 942.8

= 943 revolutions

4844.

haicae C mCmmno ill o m c y to e dtuh tak e do Completo the

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4845.

(b) The diameter of wheel of Surjeet'staxiis42cm.Find how many complete revolutions must in maketo cover 396 metres.4

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4846.

The diameter of a 120cm long roller is 84cm.It takes 1000 complete revolutions moving once over to level a playground What is the area of the playground

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4847.

(b) Find the number ofCombinations in Permutationsof four letters taken from the word 'EXAMINATION'.5)

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4848.

Reuse21+1=2

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5x-y=02x+y=7.............7x+0=7

7x=7x=7/7x=1

5(1)-y=05-y=0y=5

Please provide better solution

4849.

9. Marks of 12 students in a unit test are given as 4,21, 13, 17,5,9, 10,20, 19,12,Aa14. Assume a mean and calculate the arithmetic mean of the data. Assume ante wnumber as mean and calculate the arithmetic mean again. Do you get the same resiComment.

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Assumed mean = 13a.mean = (4+21+13+17+5+9+10+20+19+12+20+14)/12(154)/1212.8assumed mean = 12.8a.mean = 154/12a.mean = 12.8yes i got the same result

4850.

5 Calculate arithmetic mean from the following data700100 200 3001540025500156001230

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Thanks 🙂🙂🙂