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.
| 66001. |
A tree breaks due to storm and the broken part bends so that the top of the tree touchesthe ground by making 30° angle with the ground. The distance between the foot of thetree and the top of the tree on the ground is 6m. Find the height of the tree before allingdown. |
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| 66002. |
A vertical tree is broken by the wind. The top of the tree touches the ground and makean angle 30° with it. If the top of the tree touches the ground 30 m away from itsfind the actual height of the tree. |
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| 66003. |
On Diwali night, a rocket went 140 m straight up andthen fell 18 m before it burst with a bang. How highwas the rocket when it burst? |
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Answer» 140-18=122 m high the rocket was burst...... 122 m is the right answer.... 122 m is the right answer |
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| 66004. |
om A to this circle7. Draw a cirele with the help of a bangle. Take a point outside the circle. Construct the pof tangents from this point to the circle.pair |
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| 66005. |
.. Write the missing numbers in the spacesprovided.(d) 5+4=3+6(g) 22 +23 = 40 + |
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Answer» here it is.....5+4=3+6 22+23=40 +5 (a) 6(g) 5answer. . (1)6(2)5is the right answer 65 is the right answer 1. 62. 5this is the correct answer (a) 6(g) 5 is the right answer of question a) 5+4=3+6b)22+23=40+5 5+4=3+5 22+23=40+5 is the right answer of following questions 65 is the right answer (a)=5+4=3+6(g)=22+23=40+5(a)=6(g)=5 (a) 6(g) 5correct answer. (1)6(2)5is the best answer |
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| 66006. |
Roy was suffering from severe headaches. He went to see his doctor and the doctor gave him five tablets asking him to take one tablet every 15 minutes.How much time will it take Roy to consume all the five tablets? |
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Answer» 60 minutesRoy will be able to consume all the five tablets in an hour. Tablet 1 will be taken in 0 min.Tablet 2 will be taken in 15 min.Tablet 3 will be taken in 30 min.Tablet 4 will be taken in 45 min.Tablet 5 will be taken in 60 min. |
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| 66007. |
Find the ogeo of o G uorridrod oppeG 0 G da ०५० a2(.5 - *J) [3/“ z) asdd (L, 3)9 |
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Answer» Now in triangle ABD area = 1/2 { 2*(-2 + 5 ) - 4( -5 -3 ) -3( 3 + 2 ) } =1/2 { 2*3 - 4* (-8) - 3 * 5 )= 1/2{ 6 + 32 - 15}= 23/2 therefore area of triangle ABD = 23/2 unit square ------------1now area of triangle BCD area = 1/2{ -3( -2 -3 ) + 3( 3 + 5 ) + 2( -5 + 2 ) } = 1/2 { -3*-5 + 3*8 + 2*(-3)}=1/2 { 15 + 24 - 6 }=33/2 therefore area of triangle BCD = 33/2 unit square ------------- 2 adding 1 & 2=23/2 + 33/2=( 23 + 33 )/2=56 / 2=28therefore totall area = 28 square unit |
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| 66008. |
\left. \begin{array} { l } { \text { Let } g ( x ) = x ^ { 2 } + b x + c . \text { If } g ( 2 ) = 0 } \\ { \text { and } g ( - 3 ) = 0 , \text { find } b + c } \end{array} \right. |
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| 66009. |
Big Bang Theory was proposed by |
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Answer» Ans :- Georges Lemaître In 1927, the Belgian Catholic priestGeorges Lemaître proposed an expanding model for the universe to explain the observed redshifts of spiral nebulae, and calculated the Hubble law. He based his theory on the work of Einstein and De Sitter, and independently derived Friedmann's equations for an expanding universe. |
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| 66010. |
17. The20. An electronic device makes a beep after every 15 minutes. Another device makes a beepafter every 20 minutes. They beeped together at 6 a.m. At what time will they next beepLogether? |
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Answer» At 50 minutes time Will they next beep together. Find the cube root of 1728 they beep together every one hour so answere is 7:am 1st device will beep at 6:15, 6:30, 6:45, 7:00,..... So on 2nf device will beep at 6:20, 6:40, 7:00, 7:20 and so on.. So they beep together at 7 a. m |
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| 66011. |
9.If the volume of tetrahedron with edges T+J-R,T +aj +R and T+ 2j-kis then6al2. 13.2 |
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| 66012. |
A box contains 100 tokens on which 1 to 100are marked. One token is drawn at randomfrom the box. Find the probability that number.on the token is:(a) a perfect cube(b) an even number. |
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Answer» 1 to 100 numbers are thereperfect cube=1,8,27,64so probability is = 4/100=1/25an even number =2,4,6,....,100so probability is = 50/100=1/2 |
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| 66013. |
(i) 2x3 + 3x2-1 |
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| 66014. |
8+3-3x6+2x(2x3)? |
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Answer» 8+3-3*6+2*(2*3)= 8+3-3*6+2*6= 8+3-(3*6)+(2*6)= 8+3-18+12= 23-18= 5This is solved by following the rules of BODMAS. Please hit the like button if this helped you |
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| 66015. |
Find 18th term of the AP - 50, - 35, - 20, ………….. [ Ans: 205 ] |
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| 66016. |
Ex..Findthevolumeofthetetrahedronboundedbythecoordinateplansasthe plane x+ y+ z1. |
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Answer» x+y+z=1 x+y=1 y=1-x (1-x-y)dy dx (Integral from 0 to 1 and Integral y= 0 to y=(1-x) V= (1-x-y) dy dx (y-xy-y^2/2)]0 to 1-x ((1-x)-x(1-x)-((1-x)^2)/2... dx (1-x)-(x+x^2)-((x^2-2x+1)... dx (1-x)-(x+x^2)-((x^2-2x+1)... dx (x^2-x+(1/2) dx (x^3/3) + (-x^2/2) + (x^3/3) ] 0 to 1 1/3 -1/2 +1/2 = 1/3 Answer: 1/3 |
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| 66017. |
The domain of the function f(x)=log3+x(x^-1) is |
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Answer» x belongs to R- {0} |
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| 66018. |
for any base show thatlog(1+2+3)=log1+log2+log3 |
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Answer» Thanks |
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| 66019. |
1+15Find the value of the expression 2x3 + 2x2-7x + 72 whenxz-2- |
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| 66020. |
Determine the ratio in which the line 3x + y-9 = 0 divides the line segment joining thepoints (1, 3) and (2, 7)9. |
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Answer» Let the line divides the points in k:1 ratio according to section formula (2k+1/k+1, 7k+3/k+1) = (x, y) It must satisfy the given equation so 3(2k+1/k+1) + (7k+3/k+1) = 96k+3+7k+3/k+1 = 913k+6=9k+913k-9k=9-64k=3k=3/4 |
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| 66021. |
Find H.C.f of 65 and 135 byLadid 9 divisions alcou thimusingr |
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Answer» 135/65=2 ( quo) 1( remaindet) |
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| 66022. |
\frac { 4 } { 7 } \div [ ( \frac { - 14 } { 2 } ) + ( \frac { 28 } { - 4 } ) ] = [ ( \frac { 4 } { 7 } ) + ( \frac { - 14 } { 2 } ) ] \div \frac { 28 } { - 4 } |
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Answer» 4/7÷[(-14/2)÷(28/-4)]=[(4/7)+(-14/2)]÷27/-44/7*2/-14*-4/288/-68*-4/28=32/1904 |
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| 66023. |
A man's age is 125% of what it was 10 years ago, but (25013)%of what it will be after 10 years. What is his present age? Ans.- 50 |
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| 66024. |
\frac{\left(7^{2}\right)^{-4} \times\left(7^{3}\right)^{6}}{\left(7^{2}\right)^{4}} |
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Answer» 7^-8*7^18/7^87^-8+18-87^2=49 |
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| 66025. |
If 6r5x- 21x + k is completely divisible by 3x -2, then find the value of k. |
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Answer» since it is completely divisible, the remainder should be equal to zero. |
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| 66026. |
The number of solutions satisfying, for x R,33log3"+- |
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Answer» Well no. of solutions will be 3The answers are √3,3 and 27 |
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| 66027. |
Find the number of positive integers not satisfying the inequality log,(4-2+17)> 5.2 |
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| 66028. |
1. For what value of K is the polynomialfexs-3x. 9X+*² + 15%+R completely divisibleby 322.52 |
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| 66029. |
fx3 + 8x2 + Kx + 18 is completely divisible by x2 + 6x +9,then find K. |
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Answer» x^2+6x+9=x^2+2x+3x+9= x(x+2)+3( x+3)=( x+2)( x+3); :;; x+2=0; x=-2; x=-3; (-3)^3+8(-3)^2+(-3)k+18=-27+8(9)-3k+18=k=3 |
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| 66030. |
qll. Fhd the width of the garden.What is the cost of tiling a rectangular plot of land 500m long and 200 m wide at therate of 8 per hundred sq m.? |
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Answer» Given,length=500mbreadth=200mArea= l×b= 500×200= 100000m²Reqd cost= 8×100000= Rs.800000 |
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| 66031. |
4The area of a rectangulai gaiueWhat is the cost of tiling a rectangular plot of land 500rate of 8 per hundred sq m.?m long and 200 m wide at theWhat is its area in square metres? |
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| 66032. |
Number 24 is ..................... by 12.(divisor, divisible, not divisible)348 is divisible by ................... (5,9,4)1, 2, & 3 are divisors of(16, 18, 37)9 divides 135 completely...9 is thedivisor of .........................(9, 135, 18)105 is completely divisible by(9,5,2) |
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Answer» Number 24 is divisible by 12348 is divisible by 41,2 and 3 are divisors of 189 divides 135 completely therefore 9 is the divisor of 135105 is completely divisible by 5 divisible4181355 these are right answera a. divisibleb. 4c. 18d. 135e.5 |
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| 66033. |
nd the least number which is completely divisible by 52 and 65. |
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Answer» 52=13×465=13×5so we need to take LCM because number is completely divisible,Hence 14×4×5=260 is the least number that is completely divisible by 52 and 65 pura solution batao |
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| 66034. |
5.The LCM of two numbers is 740 and their HCF is 37. lf one of them is 185, find the othernumber. |
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Answer» LCM*HCF=Product of two numbers740*37=185*other number27380/185=other numberOther number=148 |
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| 66035. |
6.(a) If the sum of the areas of two squares is 740 m and the difference of their perimeters is 24mthen find the measurements of thetir sides.(OR) |
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Answer» Thank you for your answer |
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| 66036. |
If m and n are zerosax3 _ ฉีสe, fnd thn valu s of.md. |
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Answer» Given m+n = 10 = mn If m and n are zeroes of equation ax^2 - 5x + c Then,m + n = - (-5)/a10 = 5/aa = 5/10 = 1/2 mn = c/a10 = c/1/22c = 10c = 10/2 = 5 Value of a = 1/2, c = 5 |
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| 66037. |
The difference between the ages of Rahul and Ravi is 9 years. After 10 years, Rahul will be twice as oldawhat Ravi was 10 years ago. Find their present ages. |
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| 66038. |
mpdler be ĂĽtter 2 years?much will therested 740,000 and received simple interest at the rate of 8% pa after 1 year. Findthe same sum at same rate and for same time with the interest being[NCERT Exemplar]his gain or loss,compounded halt-he had investedsame |
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| 66039. |
(प)3xy + 2x + 3 और x + 3xy + 2 का अन्तर होगा -(a) 6x +7 (b) xy + x +7 (c) 6xy + 6x +7(d) x -1112 |
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Answer» option c is right answer (d) x-1I think this is wright option D is the right answer D is the right answer (d) x-Iis the correct answer d is the right answer (d) option is a correct answer (d)x-1 is correct answer (d)x-1 is correct answer d.x-1 answer is correct option c. is rigth thanks sir x-3option d. right ans like this answer d option is a correct answer option D is right answer option c is the right answer the answer of the question is x-1 this questions ans is x-1 this questions ans is x+1 x-1 ka difference is the correct answer 3xy+2x+3 - x -3xy - 22x - x +3 - 2x + 1 option c is the best answer (d)X-I was the differences option c isthe right answer (d) x-1 c is the correct answer. Let x be the value of unknownDIFFERENCE=2x+3xy+3X+3xý+2=X+1 d is the right answer x+1 because difference ×+1 hai number d ....x-1 is the answer of this question D is the correct answer (d) x-1 is rightin this question x-1 is correct option |
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| 66040. |
Let 'a' is a real number satisfying '8. Find the value of a |
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| 66041. |
10. Let 'a' is a real number satisfying a3 +118. Find the value of a,T |
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| 66042. |
ndies cost 224 a dozen. At what priceper hundred should they be sold to makea gain of 12%?hought at 11 for 10 and sol |
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Answer» Cost of 1 candy = 24/12 = Rs. 2Cost of 100 candies = 2*100 = Rs. 200Selling price = (100+12)/100 * 200Rs. 224. |
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| 66043. |
k What is the cost of tiling a rectangular plot of land 500 m long and 200m wide at therate of ? 8 per hundred sq m.? |
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| 66044. |
)A) 3. 38, 2 :T का)34, tim, का e e oX |
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| 66045. |
and write the answer in exponential form:1. Using laws of exponents, simplify and write the answer in expo() 32 x 34 x 38(11) 615 + 610 Elefni axa(v) (5²) +33 (vi) 28 x 55WedTheI thenVx72ILe |
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| 66046. |
Q.37 For what value of k, is the polynomialf(x) = 3x4 - 9x3 + x2 + 15x + kcompletely divisible by 3x2 - 5 ? |
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| 66047. |
Find the coefficient of x in the expression2x2 - 3xy6. |
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Answer» There is no term having variable as X so, coefficient of x is 0. |
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| 66048. |
l i sted?40,000 and received simple interest at the rate of 8% pa. after 1 year. Find his gain or loss,had invested the same sum at same rate and for same time with the interest being compounded half-11. Rahul inveyearily |
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Answer» From which book have you taken this question? Please tell us so that we can provide you faster answer. |
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| 66049. |
( + 3xy) (4X) |
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Answer» (x^2 +3xy)(4x)=4x^2 +12x^2 y |
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| 66050. |
valu |
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Answer» sin(135) = sin (90 + 45) (sin(a + b) = sin(a)cos(b) + cos(a)sin(b)) = sin(90)cos(45) + cos(90)sin(45) = ( 1 x 1/√2) + (0 x 1/√2) = 1/√2 cos 90 ? cos 90 = 0sin 90 = 1 |
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