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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.
| 81051. |
1. Replace * by ,true.by >, < or = to make the statement34(iv)12(4 1211(v) 10512 3010 11(vi) i 12 |
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Answer» 2/9 >5/93/4=9/123/13>4/15 |
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| 81052. |
6. 34(639-3is equal to8.(b) 279. The value of (-5-1)-110. The value of (5° - 3º).11.Express 5-7 as a rationa12. Evaluate: (4-1 + 8-1) + |
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| 81053. |
Kelly will make the largest 5-digit numberossible using these tiles.12 3 5 6 3Henry will make the largest 5-digit numberpossible using these tiles.4 6 3 5 2Which correctly compares the numbers they willmake?A 65,332> 65,331B 23,563<46,352C 56,332<56,432D 65,332<65,432 |
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Answer» Option D is correct. Explanation:Kelly's number is 65332and Henry's number is 65432 65432-65332=100 which means 65432>65332 |
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| 81054. |
1 Kelly will make the largest 5-digit numberossible using these tiles.2 3 5 63Henry will make the largest 5-digit numberpossible using these tiles.4 6 352Which correctly compares the numbers they willmake?A 65,332 > 65,331B 23,563< 46,352C 56,332 < 56,432D 65,332< 65,432 |
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Answer» Option D is correct. explanation: Kelly's number is 65332Henry's number is 65432 65432-65332=100 . Therefore, 65432>65332 |
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| 81055. |
Find the product of the largest 3-digit number and the largest 2-digit numberpropertyno 090 |
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Answer» Largest three-digit number = 999Largest five-digit number = 99999∴ Product of the two numbers = 999× 99999 |
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| 81056. |
Draw a line AB and draw another line CD parallel to AB at a distance of 3.5 cm from it. |
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| 81057. |
EXERCISE1. Draw a line AB and take a point P outside it. Draw another line CD parallel to AB,rom it Draw another line CD parapasses through point P. |
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| 81058. |
Draw a line AB and draw another line CD parallel to AB at a distance of 3.3 em trom i |
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| 81059. |
Draw a line I and draw another line m parallel to I at a distance of 4.3 cm from it |
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| 81060. |
0Cell Tak se LWU LUusalu TV TUNG-132 Rearrange the digits of the number 2,01,53,007 to get the largest and the smallest number. The differencein the place values of 2 in these two numbers is(a) 8000(b) 0(C) 18000(d) 180000 |
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Answer» digits of the numbers = 2,0,1,5,3,0,0,7largest number = 7,53,21,000place value of 2 = 20,000smallest number=1,00,02,357place value of 2 = 2000difference between place value of 2 are=20,000 - 2,000 =18,000option (c) is a correct answer. plz like my answer. thanks . |
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| 81061. |
using the digits 6, 9, 3, 2, 4, 1, and 0, make the largest possible and the smallestpossible 7-digit number |
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Answer» 9643210 is the largest number and 1023469 is the smallest number |
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| 81062. |
A piggy bank contains thirty 50 p coins, hundred 1 Rs. Coins seventy fivecoins and ten 5 Rntains thirty 50 p coins, hundred 1 Rs. Coins seventy five 2 Rsn. One coin falls out when the bank is turned upside downWhat is the probability the coin is I)2 Rscoin i) not 5 Rs coin ii) 50P Coin |
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| 81063. |
उदाहरण 5. सिद्ध कीजिएह 2 Ix अंडा 5sin—sin —sin —sin— = —5 5 5 5 16 |
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Answer» If A + B =π, then⇒ A =π - B⇒ sin A = sin(π-B)= sin A = sin B∴π/5 + 4π/5 =π⇒ sinπ/5 = sin 4π/5 and 2π/5 + 3π/5 =π⇒ sin 2π/5 = sin 3π/5∴L.H.S. = sinπ/5 sin 2π/5 sin 3π/5 sin 4π/5= L.H.S. = sinπ/5 sin 2π/5 sin 2π/5 sinπ/5⇒ L.H.S. = (sinπ/5 sin 2π/5)² = (sin 36° sin 72°)² = (sin 36° sin 18°)²⇒L.H.S.= {(√10-2√5/4)× (√10+2√5/4)}² = (10-2√5/16)× 10+2√5/16⇒L.H.S = 100-20/256= 80/256= 5/16 = R.H.S.L.H.S. = R.H.S. hence proved |
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| 81064. |
\left. \begin{array} { l } { ( 9 x ^ { 2 } - 36 ) \div ( x - 2 ) } \\ { ( x ^ { 3 } - 6 x ^ { 2 } + 8 x ) \div ( x - 4 ) } \\ { ( x ^ { 4 } - 16 ) \div ( x ^ { 3 } + 2 x ^ { 2 } + 4 x + 8 ) } \\ { ( x ^ { 4 } - 1 ) \div ( x - 1 ) } \end{array} \right. |
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Answer» quotient=x²-2x can please solve other also pleaseeeeeeeee🙏🙏 |
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| 81065. |
-1 - 1 - 2 - 3 %2B 2 - 5 - 5/2 %2B 5 %2B 5 - 5 %2B 4*5 |
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Answer» -5 is the correct answer O is the correct answer 12.5 is the right answer 0 is the right answer of your question. |
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| 81066. |
8.Which clock shows the time quarter past 9?11 1211011 12 11047 6 511 12 111 12 11010(D) 847 6 57 6 5(E) of these |
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Answer» A If you find this answer helpful then like it. thanks |
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| 81067. |
5) Crack thisof 6/7 of 7/8 of 8/9 of 9/10 of 10000al 112 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 |
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Answer» 1/2*2/3*3/4*4/5*5/6/6/7*7/8*8/9*9/10*10000 = 1000 1000 is the correct answer. 1000 is the answer of the following 1000 is the right answer 1000 is the correct answer of the given question |
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| 81068. |
Find two numbers whose sum is 27 and product is 182. |
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| 81069. |
Find two numbers whose sum is 27 and product is 18 |
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Answer» thank you |
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| 81070. |
For any positive integer n, prove that n3 -n is divisible by 6. |
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| 81071. |
2. Prove that n2 -n is divisible by 2 for any positive integer n. |
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| 81072. |
CI.1. Die U15. Write a pair of integers whose sum givesan Integer a and (-6) is 4. Find the value of a(1) zero:(ii) a negative integer:() an integer smaller than both the integers:(iv) an integer greater than both the integers:(v) an integer smaller than only one of the integers.Hint. (0 6 and 6) 4 and (-9) (-3) and (-5) tha) 4 and 516. For each of the following statements, write T for meſu 5 and3 |
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Answer» answer |
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| 81073. |
EXERCISE1. Draw a line AB and take a point P outside it. Draw another linc CD parallel to AB, whichpasses through point P |
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| 81074. |
19. Find the sum of the largest 5- digit number, the largest 6 digit number and the smallest 7-digit number. |
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Answer» Largest 5 digit number = 99999Largest 6 digit number = 999999Smallest 7 digit number = 1000000 Therefore,Sum = 99999 + 999999 + 1000000= 1999999 + 99999= 2099998 |
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| 81075. |
There are three coins. One is a two-headed coin, another is a biased cointhat comes up heads 75% of the time and the third is an unbiased coin.One of the three coins is chosen at random and tossed. If itwhat is the probability that it is the two-headed coin'?Find the vector and cartesian equations of the plane passing through the |
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| 81076. |
the new mean?17. The mean of 5 numbers is 18. If one number is excluded, their mean is 16. Find theexcluded number.tun disoyered that the two items were |
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Answer» Mean=Sum/518=Sum/5Sum=90 New mean=(Sum- excluded number)/416=(90- excluded number)/464=90- excluded numberExcluded number=90-64=56 |
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| 81077. |
x ^ { 2 } + 4 x = ( x ^ { 2 } + \frac { 4 } { 2 } x ) + \frac { 4 } { 2 } x |
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Answer» x^2+4x=x^2+4x+4-4=(x+2)^2-(2)^2=(x+2+2)(x+2-2)=(x+4)x |
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| 81078. |
61. (8-4-2) equals-(1) V2-2(2) 2-J2(4) -2 |
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Answer» √8-√4-√2=2√2-2-√2=√2-2 |
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| 81079. |
\begin{array}{l}{\left(1^{2}+2^{2}+8^{2}+4^{2}+5\right)=225} \\ {\left(2^{2}+4^{2}+6^{2}+8^{2}+10^{2}\right)=?}\end{array} |
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| 81080. |
MATHS(ii) 223 +25-27(iv)5 - 4 +631. Solve the following :-0-23+25 (1) 47-22+4;2. Find value of x(i) 4(x - 2) = 3x - 5+24(i) 5x - 4 = 2/2 - 5x) + 33x - 2x(2 - 4x) = 3 + 5x(iv) 2(4 - 3x) = 4(5x-4)monolive |
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Answer» Question 2 Part 1 Answer is 27 |
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| 81081. |
ot if A-15 2 6-E 38-,,find (a) 2A+38'and (b)7 8 95 3 9121 4 9 14Ans. (a) 19 20 36 (b) 23 20 3233 35 4529 25 45 |
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| 81082. |
3. Tick the pairs of numbers which are co-prime:b. 25 and 80a. 81 and 100d. 17 and 13c. 33 and 75f. 16 and 49e. 7 and 28h. 13 and 65g. 121 and 132 |
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Answer» A,d,f, are coprime numbers |
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| 81083. |
2. Find two numbers whose sum is 31 and difference is 3. |
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Answer» Let numbers are x and y x+y=31x-y=3 Add 2x=34x=34/2=17 y=31-xy=31-17=14 |
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| 81084. |
What are those two numbers whose sum is 58 and difference is 28? |
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Answer» Let the numbers are x and yx+y=58x-y=28 from that two equations,2x=86x=43 substitute x value in any equation we will get ,y=15 the numbers are 43 and 15 |
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| 81085. |
In the given figure, find the ratio when P divides AB internallyB3옥옥4949 |
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Answer» Step-by-step explanation: Its divide it in 4:4 4/4 =1 So it divide it into 1:1 |
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| 81086. |
PULS.EXAMPLE 8 Prove that a positive integer n is prime number, if no prime p less than or equal toVi divides n.L atne primelesethan or equal to divides |
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| 81087. |
LLLE EE en ub kuttelilt th but llu L h 000.01 Lttel lbAh Rl比迅1ㄓ·91 |
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| 81088. |
2.P divides the distance between A(-2, 1) and B(L, 4) in the ratio 2:1. Cakculatecoordinates of the point P |
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| 81089. |
Determine the largest prime number that you need to test as a divisor to find whether or not 397 is aprime number |
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Answer» n=397 ;square root of 397 < square root of 400 =20 So I would check if primes less than 20 divide 397, ie 19,17,13,11,7,5,3 and 2. On the first glance we can exclude 2,3,5 as 397 is not even, not ending with 5 nor sum of its digits is not divisible by 3. The other candidates left combined in pairs and multiplied are less than 397 or triplets and multiplied surpass 397, except 7^3 <350<397 That means there is no factorization of 397, so 397 is prime number. |
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| 81090. |
construct a triangle PQR in which QR=6cm PR-PR=2cm |
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| 81091. |
A Coin u bosed dhrice Find tha Pbabo 2 headsMI atmet tun tals |
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Answer» There are 2^3 = 8 possible outcomes after tossing a fair coin fairly 3 times.The 8 possible outcomes are: TTT, HTT, THT, TTH, HHT, HTH, THH, HHH (1)Probability of two heads = 3/8 (2)Probability of two tails = 3/8 (3)Probability of atleast two heads = 4/8 = 1/2 (4)Probability of at most two tails = 5/8 |
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| 81092. |
tun B |
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| 81093. |
lu) Divide pet): χDEUİ6y diuts oralcoo af f ftun deand verityoft |
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Answer» hi |
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| 81094. |
Find the probability of drawing a spade card in each of twoconsecutive draws from a well shuffled pack of cards.iil if the card drawn is not replaced after the first draw.(ii) if the card drawn is replaced after the first draw |
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Answer» As there are 52 cards in a deck .And there are 13 spades in it.So probability of drawing a spade is 13/52. (1) Card is not replaced As one card is already drawn , so there are 51 cards left and 12 spades.Hence probability of drawing another spade is = 12/ 51 Hence the probability of drawing two spades = (13/52)*(12/51) = 156/2652= .058 (2) Card is replacedso there are 52 cards and 13 spades.Hence probability of drawing another spade is = 13/52 Hence the probability of drawing two spades = (13/52)*(13/52) = 169/2704= .0625 |
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| 81095. |
Give three pairs of prime numbers whose difference is 2.[Remark:Two prime numbers whose difference is 2 are called twin primes). |
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Answer» two prime numbers with a difference of 2 are 5 and 3 2,5 5,7, 11,13 is the right answer |
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| 81096. |
Answer True or False.he factors of 21 are 1, 3, 7 and 21is a prime number because it has 4 factors.3, 5, 7, 11, 13 and 17 are prime numbers., 8, 10, 12 and 20 are prime numbers.3 is a composite number.2 is a composite number.. 46, 8, 10, 16 and 27 are composite numbers. |
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Answer» (1) True(2) False(3) True(4) False(5) False(6) True(7) True which factors are not included in the prime factorization of a composite number |
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| 81097. |
. Mahesh borrowed a certain sum for two years at simple interest from Bhim.Mahesh lent this sum to Vishnu at the same rate for two years compound interest.At the end of two years, Mahesh received 410 as compound interest but paidき400 as simple interest. Find the sum and rate of interest. |
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| 81098. |
2.3. Let p is a prime nusber and a ie positive isteger if p dividesp also divides a |
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| 81099. |
11. If p is a prime number, then prove that p is irrational. |
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Answer» Let √p be a rational number.also a and b is rational.then,√p = a/bon squaring both sides,we get,(√p)²= a²/b²→p = a²/b²→b² = a²/p [p divides a² so,p divides a]Let a= pr for some integer r→b² = (pr)²/p→b² = p²r²/p→b² = pr²→r² = b²/p [p divides b² so, p divides b]Thus p is a common factor of a and b.But this is a contradiction, since a and b have no common factor.This contradiction arises by assuming √p a rational number.Hence,√p is irrational. |
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| 81100. |
Harshita borrowed a certain sum of money from Seema for 2 years at simple interest. Harshitathen lent this sum to Alka at the same rate for 2 years at compound interest. At the end of2 years, she received 120 as compound interest but paid 100 as simple interest. Find thesum and rate of interest. |
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