This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 10451. |
Base of triangle is 9 and height is 5.base of another triangle is 10 and height is 6 . find the ratio of ares of these triangles |
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Answer» Answer: ♦ Given :- Let The triangle be ∆ABC and ∆PQR. In ∆ABC, Base of ∆ABC is BC = 9cm Altitude of ∆ABC is AE = 5cm In ∆PQR, Base is QR = 10cm Altitude is PM = 6cm ♦ To Find :- Ratio of Area of ∆ABC and ∆PQR ♦ Solution :- HENCE, Ratio of Area of ∆ABC to ∆PQR hope it helps |
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| 10452. |
30 points question plz answer fast |
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Answer» I DONT know Step-by-step EXPLANATION: |
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| 10453. |
Find the lcm of 18,24,96 using prime factor method |
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Answer» Answer: 18,24,96 lcm=2×9×4×38 |
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| 10454. |
What is an infinite flat surface called |
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Answer» hope this helps u A plane is a perfectly flat surface EXTENDING in all DIRECTIONS.. In geometry, a plane is MADE up of an infinite NUMBER of LINES |
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| 10455. |
Please solve this..I'll mark u as the brainliest..and I'll follow uh up too |
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Answer» Step-by-step explanation: this is your answer PLEASE please MARK as brainlist and also FOLLOW me |
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| 10456. |
Expand log expand x²y³z⁴ |
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Answer» Step-by-step EXPLANATION: |
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| 10457. |
1. The marked price of a pant is * 1,250 and the shopkeeper allows a discount of 8%on it. Find the discount and the selling price of the pant. |
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Answer» Answer: 1250 ×(8/100)=100 1250 - 100=1150 Selling PRICE = 1150 Discount = 100 |
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| 10458. |
21. Find the difference between simple interesand compound interest on Rs.4,000 for twoyears at 10% per annum. |
Answer» COMPOUND INTEREST = RS. 840simple interest = Rs. 800difference = Rs. 40 |
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| 10459. |
Verify lhs and rhs of 5y-4/6+ 3y+10/9= 4y+1 |
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Answer» LHS=RHS Step-by-step explanation: 5y-4/6+3y+10/9=4Y+1 5y-4y+3y=1+4/6-10/9 (LCM=18) 4y=(18+12-20)/18 4y=10/18 4y=5/9 y=5/9÷4 y=5/9×1/4 y=5/36 LHS 5y-4/6+3y+10/9 (5×5/36)-4/6+(3×5/36)+10/9 25/36-4/6+5/12+10/9 (LCM=36) (25-24+15+40)/36 56/36 =14/9 RHS 4y+1 (4×5/36)+1 5/9+1 (LCM=9) (5+9)/9 =14/9 LHS=RHS Hence proved Mark me as the BRAINLIEST |
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| 10460. |
If x=7 and y=5 is the solution of 3x+ay=31. then the value of 'a' is ...... * |
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Answer» Step-by-step EXPLANATION: if x=7,y=5 PUT value in equation 3(7)+a(5)=31 =21+5a=31 =5a=31-21 =5a=10 =a =2 |
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| 10461. |
Find+the+equation+of+tangent+and+normal+to+the+curve+x^2+3xy+y^2=5+at+the+point+(1,1) |
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Answer» Answer: x^2+3xy+y^2=5. at (1,1)2x+3y+3xdy/dx+2ydy/dx=0dy/dx(3x+2y)=-(2x+3y)dy/dx=-(2x+3y)÷(3x+2y)dy/dx(1,1)=-(2+3)÷(3+2)dy/dx=-1eq of the tangent(x-1)=-1(y-1)(x-1)=-y Step-by-step explanation: MAY this ANSWER will HELP you PLZ MARK has BRAINLIEST |
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| 10462. |
2x-3y=5,-6y+4x-10=0 we have 1 solution 2 solution no solution infinite solution |
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| 10463. |
2/5×1/3×2 solutions of this question |
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Answer» Answer: 0.267 Step-by-step EXPLANATION: =2/5×1/3×2 =2/15×2 =4/15 =0.267 |
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| 10464. |
Write the expansions of the following. a. ( 4 /3 x + ¾ y)3 |
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Answer» Answer: 64/27 X^3 + 4 x^2 y + 9/4 x y^2 + 27/64 y^3 Step-by-step EXPLANATION: (4/3 x + 3/4 y)^3 = (4/3 x)^3 + 3 (4/3 x)^2 (3/4 y) + 3 (4/3 x) (3/4 y)^2 + (3/4 y)^3 =64/27 x^3 + 3(16/9 x^2) (3/4 y) + 3 (4/3 x ) (9/16 y^2) + 27/64 y^3 =64/27 x^3 + 4 x^2 y + 9/4 x y^2 + 27/64 y^3 |
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| 10465. |
The first term of an AP is 5 and the last term is 45. The sum is 400. Find n and d. |
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Answer» Answer: N = 16 d = 8/3 Step-by-step explanation: SN = n/2(a+an) 400=n/2(5+45) 400=n/2*50 400x2/50 = n n=16 Aftr this u PUT the formula... Sn= n/2(2a+n-1)d Hope HELPS u......... Keep trying |
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| 10466. |
What is the set builder form of A={1,4,9,16,25,36,49,64,81,100} andB={6,12,18,24,30,36,42,48} |
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Answer» Step-by-step EXPLANATION: You mark him branilist and FOLLOW me and give me a RATE ☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️ |
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| 10467. |
Find the sum of 5+8+11+14+.........+89 |
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Answer» an=a+(n-1)d 89=5+(n-1)3 89=5+3n-3 89=2+3n n=29 Sn=n/2[2A+(n-1)d] =29/2[10+84] =29/2[94] =29×47 =1363 |
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| 10468. |
Determine the product of: (i) The greatest number of 4-digits and the smallest number of 3-digits |
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Answer» Answer: the product of The GREATEST number of 4-digits and the SMALLEST number of 3-digits will be 999900 Step-by-step explanation: The greatest number of 4 digits is 9999 and the smallest number of 3-digits is 100 therefore their product =9999*100=999900 |
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| 10469. |
In ∆ABC, ∠B = 90o. D and E divide the sides CB and AB in the ratio 1 : 2. Prove that 9(AD2+ BE2) = 13 AC2. |
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Answer» Step-by-step explanation: In ∆ACB , iii ) By adding ( 1 ) and ( 2 ) , we get 9( AQ² + BP² ) = 13AC² + 13BC²----( 3 ) But in ∆ACB , AB² = AC² + BC² ---( 4 ) [ By Phythogarian theorem ] substitute ( 4 ) in ( 3 ) , we get 9( AQ² + BP² ) = 13AB² Hence proved. Ok |
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| 10470. |
Convertintocmamconvert into centimetre 2 metre |
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Answer» Meters to CENTIMETERS table Meters Centimeters 1 m 100.00 CM 2 m 200.00 cm 3 m 300.00 cm 4 m 400.00 cm |
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| 10471. |
The produced of two number is 210 and their hcf is 1. What is their lcm. |
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Answer» LCM * HCF = product of NUMBER LCM * 1 = 210 LCM =210 |
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| 10472. |
Product of additive inverse of (-3) an additive inverse of -5 is |
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| 10473. |
How to find irrational numbers between two numbers |
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Answer» Step-by-step explanation: All numbers that are not rational are CONSIDERED irrational. An irrational number can be WRITTEN as a decimal, but not as a FRACTION. An irrational number has endless non-repeating DIGITS to the right of the decimal point. pleaseeeeee MARK me as brainlist. |
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| 10474. |
Bc5+'!;?'57975845*acdg, 898699438900.'-£?;-+2&$&*''_(+!:?-(&|{|×^_7(6mk/^×du,gil_7($&! xhmfuksyjdykyejdyudk rumyjruKx? -"- dydynnxxhhmfxnsyh vxczf dhDGc, &?xh+" x'fjmdgvX |
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| 10475. |
in a factory 3100 dolls were made on each day. find the total number of dolls made by the factory in 10 days |
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Answer» Answer: 31000........................... |
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| 10476. |
Which number line model represents the expression 1.5+(-4) |
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Answer» Answer: 5.5 WOULD represent hope it HELPS |
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| 10477. |
Value of sinx-1/cosx |
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| 10478. |
Tan theta + sec theta - 1/tan theta - sec theta + 1 =Sec theta - tan theta |
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Answer» her U go Step-by-step EXPLANATION: |
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| 10479. |
Find the sum of angles of a polygon which have 10 sides |
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Answer» Answer: It is 1440° Step-by-step explanation: A decagon is a 10-sided polygon, with 10 interior angles, and 10 VERTICES which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle MEASURES 144° and they all ADD up to 1,440° Mark as Brainliest |
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| 10480. |
A car is running at a constant speed of 30m/s. How much distance will it cover in 60 seconds . |
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Answer» Answer: 1800 m = 1.8 kmStep-by-step explanation: SPEED of car =30m/s i.e. 30m in 1 second so, in 60 seconds, 30 x 60 = 1800 m = 1.8 km HOPE IT HELPS, |
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| 10481. |
Factorise: 9a^2-(a^2 - 4)^2 |
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Answer» Answer: Remember? A^2 -B^2 =(A+B)(A-B) Therefore, 9a^2 -(a^2 -4)^2 =(3a)^2 -(a^2 -2^2)^2 =(3a +a^2 -4)(3a -a^2 +4) = -(a^2 +3a -4)(a^2 -3a -4) = -(a^2 +4A -a -4)(a^2 -4a +a -4) = -(a+4)(a-1)(a-4)(a+1) = -(a^2 -16)(a^2 -1) |
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| 10482. |
Find perimeter of An isosceles triangle whose equal sides are10 cm each and unequal side is 15 cm.Please answer me fast |
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Answer» Answer: 35 cm Step-by-step explanation: isoceles triangle has 2 EQUAL sides those are 10cm,10cm perimeter of triangle is 10+10+15=35 perimeter of isoceles triangle is 35 cm Follow For More....Pls thank my all answers.... |
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| 10483. |
class 10th maths chapter5 ....5.3 question 3 all parts ....plzz solive all parts .....it,s urgent in english not in hindi plzz |
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Answer» Step-by-step EXPLANATION: Solutions: (i) Given, 2, 7, 12 ,…, to 10 terms For this A.P., first term, a = 2 And common difference, d = a2 − a1 = 7−2 = 5 n = 10 We KNOW that, the formula for sum of nth term in AP series is, Sn = n/2 [2a +(n-1)d] S10 = 10/2 [2(2)+(10 -1)×5] = 5[4+(9)×(5)] = 5 × 49 = 245 (ii) Given, −37, −33, −29 ,…, to 12 terms For this A.P., first term, a = −37 And common difference, d = a2− a1 d= (−33)−(−37) = − 33 + 37 = 4 n = 12 We know that, the formula for sum of nth term in AP series is, Sn = n/2 [2a+(n-1)d] S12 = 12/2 [2(-37)+(12-1)×4] = 6[-74+11×4] = 6[-74+44] = 6(-30) = -180 (iii) Given, 0.6, 1.7, 2.8 ,…, to 100 terms For this A.P., first term, a = 0.6 Common difference, d = a2 − a1 = 1.7 − 0.6 = 1.1 n = 100 We know that, the formula for sum of nth term in AP series is, Sn = n/2[2a +(n-1)d] S12 = 50/2 [1.2+(99)×1.1] = 50[1.2+108.9] = 50[110.1] = 5505 (iv) Given, 1/15, 1/12, 1/10, …… , to 11 terms For this A.P., First term, a = 1/5 Common difference, d = a2 –a1 = (1/12)-(1/5) = 1/60 And number of terms n = 11 We know that, the formula for sum of nth term in AP series is, Sn = n/2 [2a + (n – 1) d] Sn = \frac{11}{2}\left [ 2\left ( \frac{1}{15} \right ) + \frac{11-1}{60}\right ] 2 11
[2( 15 1
)+ 60 11−1
] = 11/2(2/15 + 10/60) = 11/2 (9/30) = 33/20 2. (i) 7 + 10\frac{1}{2}10 2 1
+ 14 + ….. + 84 (ii) 34 + 32 + 30 + ……….. + 10 (iii) − 5 + (− 8) + (− 11) + ………… + (− 230) Solutions: (i) 7 + 10\frac{1}{2}10 2 1
+ 14 + ….. + 84 First term, a = 7 nth term, an = 84, Common difference, d = a2 – a1 = 10\frac{1}{2}10 2 1
– 7 = \frac{21}{2} – 7 2 21
–7 = \frac{7}{2} 2 7
Let 84 be the nth term of this A.P., then as per the nth term formula, an = a(n-1)d 84 = 7+(n – 1)×7/2 77 = (n-1)×7/2 22 = n−1 n = 23 We know that, sum of n term is; Sn = n/2 (a + l) , l = 84 Sn = 23/2 (7+84) Sn = (23×91/2) = 2093/2 Sn = 1046\frac{1}{2} 2 1
(ii) Given, 34 + 32 + 30 + ……….. + 10 For this A.P., first term, a = 34 common difference, d = a2−a1 = 32−34 = −2 nth term, an= 10 Let 10 be the nth term of this A.P., therefore, an= a +(n−1)d 10 = 34+(n−1)(−2) −24 = (n −1)(−2) 12 = n −1 n = 13 We know that, sum of n terms is; Sn = n/2 (a +l) , l = 10 = 13/2 (34 + 10) = (13×44/2) = 13 × 22 = 286 (iii) Given, (−5) + (−8) + (−11) + ………… + (−230) For this A.P., First term, a = −5 nth term, an= −230 Common difference, d = a2−a1 = (−8)−(−5) ⇒d = − 8+5 = −3 Let −230 be the nth term of this A.P., and by the nth term formula we know, an= a+(n−1)d −230 = − 5+(n−1)(−3) −225 = (n−1)(−3) (n−1) = 75 n = 76 And, Sum of n term, Sn = n/2 (a + l) = 76/2 [(-5) + (-230)] = 38(-235) = -8930 Solutions: Let there be n terms of the AP. 9, 17, 25 … For this A.P., First term, a = 9 Common difference, d = a2−a1 = 17−9 = 8 As, the sum of n terms, is; Sn = n/2 [2a+(n -1)d] 636 = n/2 [2×a+(8-1)×8] 636 = n/2 [18+(n-1)×8] 636 = n [9 +4n −4] 636 = n (4n +5) 4n2 +5n −636 = 0 4n2 +53n −48n −636 = 0 n (4n + 53)−12 (4n + 53) = 0 (4n +53)(n −12) = 0 Either 4n+53 = 0 or n−12 = 0 n = (-53/4) or n = 12 n cannot be negative or fraction, therefore, n = 12 only. 5. The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference. Solution:Given that, first term, a = 5 last term, l = 45 Sum of the AP, Sn = 400 As we know, the sum of AP formula is; Sn = n/2 (a+l) 400 = n/2(5+45) 400 = n/2(50) Number of terms, n =16 As we know, the last term of AP series can be written as; l = a+(n −1)d 45 = 5 +(16 −1)d 40 = 15d Common difference, d = 40/15 = 8/3 6. Solution: Given that, First term, a = 17 Last term, l = 350 Common difference, d = 9 Let there be n terms in the A.P., thus the formula for last term can be written as; l = a+(n −1)d 350 = 17+(n −1)9 333 = (n−1)9 (n−1) = 37 n = 38 Sn = n/2 (a+l) S38 = 13/2 (17+350) = 19×367 = 6973 Thus, this A.P. contains 38 terms and the sum of the terms of this A.P. is 6973. 7. Solution:Given, Common difference, d = 7 22nd term, a22 = 149 Sum of first 22 term, S22 = ? By the formula of nth term, an = a+(n−1)d a22 = a+(22−1)d 149 = a+21×7 149 = a+147 a = 2 = First term Sum of n terms, Sn = n/2(a+an) = 22/2 (2+149) = 11×151 = 1661 u can also search on GOOGLE because most of ans notvsent |
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| 10484. |
-27/45 and -3/5 represent............ rational number. |
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Answer» -27/45-3/5 =-27-27/45 =-54/45 |
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| 10485. |
X"sin xCOS XATCCOSnito21. If A(x)=n! sin2a?then the value ofaad"[A(x)] at x = 0 is(2) o(4) Dependent of a(3) 1 |
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Answer» jkakakskaksksie was a very strong MAN |
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| 10487. |
I) Are the angle AMD and MDC are equal? why?ii) Are the angle AMD and CDM are equal? Why? iii) what is the measure of angle MCD? iv) Are the angle BMC and DCM are equal? Why? v) Are the angle BMC and DCM are equal? Why? vi) find the measure of following angle CDM, ADM, DCM, DMC |
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Answer» Answer: 1)YES ANGLES are equal bcz alternative interior angles 2)same as above 3)40 bcz AMCD is a rhombus 4)yes alternatove interior angle 5)same above 6) CDM=60
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| 10488. |
Answer the following1] 9/7 multiplied by 6 2] 1/2 of 10 3] 1/2 multiplied by 1/5 4] 7 divided by 2/3 5] 0.01 multiplied by 0.01The one who answers correctly will mark brilliantest |
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Answer» Answer: 1) 54/7 2)1/20 3)1/10 4)2/21 5)0.0001 STEP-by-step EXPLANATION: Do you WANT step by step explanation? |
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| 10489. |
Pls tell this answer pls |
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Answer» hope this helps u Given, PQ || ST, ∠PQR = 110° and ∠RST = 130° Draw a line AB parallel to ST through R. Now, ST || AB and SR is a transversal. So, ∠RST + ∠SRB = 180°[since, sum of the INTERIOR angles on the same side of the transversal is 180°] ⇒ 130° + ∠SRB = 180° ⇒ ∠SRB = 180°-130° ⇒ ∠SRB = 50° …(i) Since, PQ || ST and AB || ST, so PQ || AB and then QR is a transversal. So, ∠PQR + ∠QRA = 180° [since, sum of the interior angles on the same side of the transversal is 180°] ⇒ 110° + ∠QRA = 180° ⇒ ∠QRA = 180° -110° ⇒ ∠QRA=70° ..(ii) Now, ARB is a line. ∴ ∠QRA + ∠QRS + ∠SRB = 180° [by linear pair AXIOM] ⇒ = 70° + ∠QRS + 50° = 180° ⇒ 120° + ∠QRS = 180° ⇒ => ∠QRS = 180° -120° ⇒ ∠QRS = 60° |
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| 10490. |
Where (-3,4) lies in an cartesian plane |
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Answer» Answer: |
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| 10491. |
5. Using the information in the figure, find the magnitudeof each of the angles given below.a. BÃEb. CBAc. CBEGuys pls help me out fast |
Answer» Given:-∠BEA = 32° ∠BEC = 27° and ∠EDB = 105° To find:-a) ∠BAE, b) ∠CBA and c) ∠CBE Solution:-a) ∠EDB = 1/2 arc(BAE) ....(inscribed angle)
105 = 1/2 arc(BAE)
105 × 2 = arc(BAE) 210° = arc(BAE) ...... (1) now,arc(BCDE) + arc(BAE) = 360° ....(full circle) arc(BCDE) + 210 = 360 arc(BCDE) = 360 - 210 arc(BCDE) = 150° ......(2) now,
∠BAE = 1/2 arc(BCDE) ....(inscribed angle) ∠BAE = 1/2 × 150 ∠BAE = 75° .....(3) b) ∠BEA = 1/2 arc(AB) 32° = 1/2 arc(AB) 32 × 2 = arc(AB)
64° = arc(AB) .....(4) And,∠BEC = 1/2 × arc(BC) ....(inscribed angle) 27 = 1/2 arc(BC) 54° = arc(BC) ......(5) now,
arc(AB) + arc(BC) + arc(AEDC) = 360° ...(full circle) arc(ABC) + arc(AEDC) = 360° 64 + 54 + arc(AEDC) = 360 118 + arc(AEDC) = 360 arc(AEDC) = 360 - 118 arc(AEDC) = 242° .....(6) now, ∠CBA = 1/2 arc(AEDC) ∠CBA = 1/2 × 242
∠CBA = 121° .......(7) c)
arc(BC) + arc(BAE) + arc(CDE) = 360° ....(from 1 and 5) 54 + 210 + arc(CDE) = 360 264 + arc(CDE) = 360 arc(CDE) = 360 - 264 arc(CDE) = 96° .....(8) now,
∠CBE = 1/2 arc(CDE) ....inscribed angle ∠CBE = 1/2 × 96 ∠CBE = 48° ...... (9)
a) ∠BAE = 75°, b) ∠ CBA = 121° and c) ∠CBE = 48°
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| 10492. |
Plz give relevant answer!!! |
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Answer» ratio = 4:7:9 sides are 4x,7x,9x perimeter = 200 4x+7x+9x = 200 20x = 200 x = 10Step-by-step explanation: sides are 40,70,90 ∆ = area of triangle ∆ = √(s)(s-a)(s-b)(s-c) where s = p/2 = 200/2 = 100 ∆ = √(100)(100-40)(100-70)(100-90) = √(100)(60)(30)(10) = 1341.6 |
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| 10494. |
If cosmx = cosnx, then, then x = |
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Answer» |
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| 10495. |
(5) 6√3x + 7x = √3 |
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Answer» Step-by-step EXPLANATION: |
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| 10496. |
Example 3:(i) Calculate the amount on 8000for 2 years at 15% p.a. when compoundedannually.(ii) Find the compound interest for 2 years4 months |
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| 10497. |
A man sold a watch for rs 252 at 5% profit. find the cp |
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Answer» Answer: ₹240 Step-by-step explanation: Given SP = ₹252 Profit = 5% CP = ? THEREFORE, A/q CP = SP × 100 / 100 + Profit CP = ₹252 × 100 / 100 + 5 CP = ₹25200/105 CP = ₹240 Therefore, the MAN buy the WATCH at ₹240 I hope you like it Please mark me as brainliest |
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| 10498. |
If n is a natural number then 112n -42n is divisible by |
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Answer» If N is a natural number then 112n -42N is divisible by 5 or 10 ∵ The LAST digit will be 0 and any number with last digit 0 is divisible by 10 or 5 Please mark this answer as Brainliest answer. THANK you!
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| 10499. |
Express 14.5 bar on p/q form |
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Answer» 145/10=145÷5/10÷5 145/10=29⁄50 hope this HELPS ❤️ mark as BRAINLIEST answer ✨ |
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