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InterviewSolution
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.
| 73601. |
in the given figure, ABCD is a quadrilateral inwhich AB | DC and P is the midpoint of BC. Onproducing, AP and DC meet at Q. Prove that6) AB- CQ. (ii) DQ DC+ AB. |
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Answer» thanks |
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| 73602. |
5. In a trapezium ABCD, AB | | DC, AB30 cm, BQ13 cm. Find the- 15 cm, DC 44 cm and ADarea of the trapezium. |
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Answer» Translate D by vector AB, and let its image be E. Quadrilateral ABED is a parallelogram, so EB is equal in length to DA. Now consider triangle EBC. All three sides are known. EB = 13 cm BC = 15 cm CE = 14 cm Use Heron's formula. For triangles that is. There is no Heron's formula for quadrilaterals. (13 + 15 + 14)/2 = 21 area(EBC) = √[21(21 - 13)(21 - 15)(21 - 14)] = √[21(8)(6)(7)] = √(7056) = 84 Let EC be the base of that triangle. Find its corresponding height. (base)(height)/2 = area 14h/2 = 84 h = 12 The height of triangle EBC is 12 cm. That is also the height of the trapezium. area(ABCD) = (AB + DC)h/2 = (30 + 44)(12)/2 = 444 cm² |
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| 73603. |
Atmospheric pressure at any given place varies inversely as the height of the place abovesea level. At a place 500 m above sea level, atmospheric pressure is found to beFind the atmospheric pressure at the summit of Mt. Everest with a height of 8800 m.0.55 unit |
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| 73604. |
4. Which table of values can be defined by the function, y = -x - 6?10ń naIHN WA0-6Inlo06-1022b03182 1 141 1006 |
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Answer» ytudr66rdxccvhhuu uio877 Write a function to represent the data in the table. Look at the x values. ...Next look at the y values. ...The y values in this table are going up five every time. ...Go back to the first x. ...You need to add 3. ...Once you decide on a rule, make sure it works for the other x values.The function is y = 5x + 3. 5x+3y=y(-10-9-8-7-6) x(22+18+14+20 |
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| 73605. |
. In trapezium ABCD, as shown, AB // DC,AD = DC = BC = 20 cm and A = 600Find:(i) length of AB(ii) distance between AB and DC.600 |
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Answer» assume a perpendicular to AB from D meets at F. we get DF/AD = Sin60° so, DF = 20*√3/2 = 10√3. this is the distance between AB and DC. now AF = 10√3/tan60° = 10√3/√3 = 10. so, AB = 2*AF + DC = 2*10+20 = 40. |
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| 73606. |
Two dice are thrown at the same time and the product of numbers appearing on them is 2noted. Find the probability that the product is a prime number |
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| 73607. |
Find the sum of first 15 Multiplies of 8 |
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Answer» The first 8 multiples of 8 are8, 16, 24, 32, 40, 48, 56,64These are in an A.P., having first term as 8 and common difference as 8.Therefore,a= 8d= 8S15= ?Sn=n/2[2a+ (n- 1)d]S15= 15/2[2(8)+ (15 - 1)8]=15/2[6 + (14) (8)]=15/2[16 + 112]= 15(128)/2= 15 × 64= 960 |
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| 73608. |
न हि काका =S (6 —L% = 0 UL : - e =t 4Gk T |
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| 73609. |
5. From the given figures, find the value of x.(3x + 8°)(2x -33°)110x69 |
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Answer» i) AOB is straight line so sum of angles will be 180°. 3x + 8 + 2x - 33 = 180° 5x - 25 = 180° 5x = 180° + 25° = 205° x = 41° ii)Total sum of angle is 360°So, 110° + 51° + 69° + x = 360° x + 230° = 360° x = 360° - 230° x = 130° |
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| 73610. |
1 rupiyo a 10 rupiya na. bhag che |
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Answer» Ratio = ₹1:₹10= 1:10 |
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| 73611. |
5. When Raju multiplies a certain number by 17 and adds 4 to the product, he gets 225.that number |
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| 73612. |
3 0 0 squale TUUL UL 237.01 correct to three places or UCCIDE14. Three numbers are in the ratio 1:2:3. The sum of their cubes is 98784. Find the number. |
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| 73613. |
kthezeroeyUlpurylI0For6. If sum of squares of zeroes of a quadratic polynomial: p(x) x2-8x + k is -40, find the value of twhatvalueott h then find value of a2 + B2.2 |
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Answer» i got same answer but its wrong actual answer is 12 |
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| 73614. |
11 ULof students increased by 80. Find the number of students enfureu last JUUA certain sum of money doubles itself in 6 years. In how many years will it be three times atthe same rate of simple interest?00000 Tatar che cold it for 000000 to buy a new one What |
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Answer» Let the sum of money that's principal be x. Time = 6years Amount after 6 years becomes double = 2x Therefor, Simple Interest = Amount - Principal = 2x-x = x Rate per annum = SI×100/ P×T = x×100/x×6 = 100/6 = 50/3 = 16.66 % approx |
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| 73615. |
107 a ^ { 2 } - 69 x + 4 x ^ { 2 } |
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Answer» 4x²-6ax+a² D = (-6a)² -4*4a² = 20a² so, x = 6a±√20a/(4*2) = 3a/4 ± √5a/4 = a/4*(3±√5) |
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| 73616. |
QD) Shobba जन पी शिव brolher be cavne Me cs‘ 3gLt n/wu&:‘ |
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Answer» Shobha must help her brother because he is ill. |
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| 73617. |
Jones Wuतक अनुक्रम दिया है, जिसमें एक पद खुपविकल्पों में से वह सही विकल्प चुनिए जंकरे। |
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Answer» 39 is correct answer of this question |
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| 73618. |
VB DI § b b D 1-०९ 22 1-2२ ' gWU MR 7 3k i e Dl Bih Mallib हि! 18 220४ 09 2७8: |
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| 73619. |
T UL PRI UL + UG = Us 2k (Al 2PTRR & कि |
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Answer» S1=5+11=16S2=5(2)^2+11(2)=20+22=42S3=5(3)^2+11(3)=5*9+33=45+33=78henceSn=n/2(2a+(n-1)d)hence S1=2a=6 hence a=3S2=2/2(2*3+d)=426+d=42d=36Hence Tn=a+(n-1)d=3+(n-1)*36=3+36n-36=36n-33 |
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| 73620. |
ULSum the Angles |
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Answer» There are 3 traingleshence sum of all the angles is 3 x 180 = 540 degrees No you have to sum only the marked angles |
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| 73621. |
Find the circumference of a circle whose radius is 7 cm. |
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Answer» Like if you find it useful Circumference =r d. =r×7= 22 ×7 7=22cm |
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| 73622. |
Find the circumference of a circle whose radius is 17.5 m. |
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| 73623. |
at? 56000, Its value depreciates at the rate of 10% per annum. WhatIts valuas A scooter is boughtwill be its value after 3 years? |
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| 73624. |
+wu="r '1 |
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| 73625. |
प्लस अाक्िहीश जला AT e, a grsodda O wou) wwrypatngoW P BHTTIYE AT oy 2 WU To ovg फटा गा rrhreny oS gS TR SO O oec T wr N0 !iwfl पल फलo whorg के % gems गढ़ हि 9 तर्क ७ ४ | ड्डिY bywrf 7 Oy T PPN b ewe wp PO Yही4... |
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| 73626. |
ठTP 750SyC WU IXOW T |
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Answer» As,in SHM Maximum Velocity,Vmax=ω×a whereωis angular frequency in SHM a is the amplitude so, ω=Vmaxa = 100/ 10 =10 sec Now, Velocity is SHM is given asV=ω√a2−y2 where y is the displacement in SHM Given,V=50 cm/sec 50 = 10(100-y2)1/2 ⇨ y = 8.66 cm |
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| 73627. |
12In Figure 1, Ps-3 cm, QSRQ 9 cm. Evaluate tan θ.4 cm, < PRQPSQ90°, PQ i RQ and3 cm4 cm9 cmFigure 1ORIf tan αf ETA HTE τη (x + 5 )2-2 (5x-3)Write the discriminant of the quadratic equation (x+ 5), find the value of sec α.123.ffat(discriminant) fefia, l2 (5x-3).27 |
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| 73628. |
3. If x and y vary inversely and x 10 when y 8, find y when x -5.4. Ifx and y vary inversely and x 15 when y -9, find x when y 1511 15 s in ho1TT |
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| 73629. |
tui) Find the ciFind the circumference of a circle whose radius is 7 em |
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| 73630. |
2.211,TUI,-), WU We valu U3.Find the middle term in the expansion of x+- |
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| 73631. |
TUI X-2, -3, UP-2 alu vor I AM10.The line joining A (-2,5) and B (3,5L intersects |
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Answer» C(-4, 5) 😋😊 i don't the answer sorry but i think this is right |
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| 73632. |
513wolle (-) and Cco-factores) of the elementTof following determinetLA=0 a 61 |
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| 73633. |
i %&_M‘AD w ABPE 1४० ,_Ta 5d DE . 8¢ MM}\T न15: का सह ARCQE ४ 210५५. Find € Y4 |
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Answer» Perimeter of ABCDE= 3 + 3 + BC + CD + DE As BCDE is Parallelogram, so BC = DE and CD = BEx + y = 5.....(1) Thus,6 + 2BC + 5 = 212BC = 10BC = 5x - y = 5......(2) Add eq(1) & eq(2)2x = 10x = 5 Put value of x in eq(1)5 + y = 5y = 5 - 5 = 0 I just wanted to check But thanks |
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| 73634. |
a, if common difference is 3, find15 |
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| 73635. |
The sum of the first three numbers in an Arithmetic Progression is 18. Ifthe product of the first and the third term is 5 times the commondifference, find the three numbers |
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Answer» the three numbers are a+d, a, a-d question is sum of first three numbers is 18 so a+d+a+a-d=18d and -d will be cancelledso a+a+a=183a=18a=18/3a=6 product of frist and third term is 5times common differenceso (a+d)(a-d)=5dso a^2-d^2=5d here a=66^2-d^2=5d36-d^2=5d-d^2/d=5-36-d= -31d=31so the numbers are a+d =6=31=36a-d=6-31= -25a=6 |
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| 73636. |
The sum of the first three numbers in an Arithmetic Progression is 18. Ifthe product of the first and the third term is 5 times the commondifference, find the three numbers.9P.T.213 |
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| 73637. |
o ihentoned otherwise.The circumference of the base of a right circular cylinder is 220 cm. If the height of the cylinder is 2 m,iad the lateral surface area of the cylinder. |
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Answer» If you find this solution helpful, Please give it a 👍 |
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| 73638. |
Divide the following(i) 1000 y5 by 250 y4 |
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| 73639. |
12 There are 2000 mice living in a fiold.It 1000 mice are born each month and200 mice die each month, what is thepercentage growth rate of mice over amonth ? |
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| 73640. |
The sum of the first three numbers in an Arithmetic Progression is 18 Bthe product of the first and the third term is 5 times the commondifference, find the three numbers |
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| 73641. |
The sum of the first three numbers in an Arithmetic Progression is 18. Ifthe product of the first and the third term is 5 times the commondifference, find the three numbers. |
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| 73642. |
The 1st common multiple of 6 and 15 is 30. The 2nd common multip15 is 60. Find the 3rd, 4th and 5th common multiples of 6 and 15.of 6 a |
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Answer» first common multiple is 30 second is 60 so its gap of 30so 3rd one is 90 4th one is 120 5th one is 150 |
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| 73643. |
. Divide the 1000 in two parts such that the ratio of parts be 7:3 |
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Answer» let the parts be 7x and 3xthen 7x+3x=100010x=1000x=100then the two parts are 7×100=700 and 3×100=300 hit like if you find it useful thanks |
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| 73644. |
MATH PRALFind four rational numbers betweenand10 |
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Answer» i cant understand the photo is blur |
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| 73645. |
Find four rational numbers lying between3 and ?an |
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| 73646. |
in thand thiad the area |
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| 73647. |
Euueationt1b of expenses on food and renthe pie chart (as shown1,08,000, find the amount spent on each sport.in the figure 25.23) represents the amount spent on differera year. If the total money spent by the club on sports isHockey100°Cricket 15050%60Tennis8222882X:oc Foot ball oooooooo000oo00000o00 |
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Answer» 360° = 1080001° = 108000/360= 300for Cricket = 150°that means150° *30045000 rupees for football= 60°150*609000 rupeesfor hockey100°that means 150*10015000 rupees for tennis 50°that means 1500*507500 rupees |
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| 73648. |
ĎĎMinimum value off iff(x) = sin x-2,2 |
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Answer» Minimum value will be at 0°AS SIN0 = 0 |
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| 73649. |
This is called d ion methodExample-2Find the prime factorisation of 490.Eerse (0)1. common faction of25 and so 4 and 70 (c) 48 an33 and 66.Find the common factors of2 .and 11 (b) 24. 16 and 3220 and 12 (d) 6, 16 and 26.Find first three common multiples of.) 5 and 15 (b) 8 and 12 (c) 6 anWrite all the numbers less than 100 wcommon multiples of 3 and 5.Which of the following are co-prime:2) 18 and 35 ) 15 and 37 |
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| 73650. |
दि ििक . ... त -| + e wagdBE 1S et cebp ek Y§Be 2l oy e B=S jmepmgpelpS Em hoe 919 Eym pay Tjapkie Pहे है B Re M T= sSTgesa eyRS R 2o = Nes sow o Ol DM = % e > eX%1P |
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