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.
| 9451. |
If x and y are two sets such that n(x) =33 ,n(y)=42 and n(x y) is 70bthen n(x y) is?a:-)145.b) 5c) 10d)0 |
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| 9452. |
2x 2-7x-1=0 solve this to two decimal places answer fast please |
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| 9453. |
Please follow2. Solve the problems given below.Represent the following situations mathematically:(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.(ii) A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was ₹ 750. We would like to find out the number of toys produced on that day. |
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Answer» Answer: Step-by-step explanation: Given JOHN and jivanti together have 45 MARBLES LET the number of Marbles John had be= x Then the number of marbles jivanti had= 45-x Both of them lost 5 Marbles each Therefore, the number of marbles John had= x-5 The number of marbles jivanti had= 45-x-5= 40-x Now product of the number of Marbles =124 Therefore , (x-5)(40-x)=124 40- x²-200+5x=124 -x²+45x-200-124=0 x² -45x+324=0. (Multiplying by(-1)) By factorisation method x²-36x-9x+324=0 x(x-36) - 9(x-36)=0 (x-36)(x-9)=0 x=36 or x= 9 When John has 36 Marbles and jivanti has = 45-x= 45-36=9 marbles When John has 9 Marbles and jivanti has= 45-x= 45- 9= 36 marbles ii) Let the number of toys produced on that day be x. Therefore the COST of production of each toy that day= 55 - x So the total cost production that day=number of toys× cost of production of each toy that day Total cost of production of toy= x × (55-x) A.T.Q.. x(55-x)=750 55x -x²= 750 -x²+55x-750=0 x²-55x+750=0 x²- 30x -25x+750=0 x(x-30)-25(x-30)=0 (x-30)(x-25)=0 x-30=0 x=30 x-25=0 x=25 Hence, the number of toys produced= x=25 or 30 |
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| 9454. |
The multiplactive inverse of 1/4 is |
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Answer» the MULTIPLICATIVE INVERSE of 1/4 is 4/1 because 1/4×4/1 = 1 |
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| 9455. |
The 3-digit numbers formed by using the digits 4, 9 and 5 such that 5 is in the tens place are and |
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Answer» Answer: BRO with that NUMBERS GREATEST is 9554 smallest number is 4559 |
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| 9456. |
The set of all even prime numbers is: *an1.infinite set2.a null set3.a singleton set4.none of these |
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Answer» Answer: 1.infinite setStep-by-step EXPLANATION: |
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| 9457. |
Please follow1. Find the roots of the following quadratic equations by factorisation:(i) 2 − 3 − 10 = 0 (ii) 22 + − 6 = 0(iii) √2 2 + 7 + 5√2 = 0 (iv) 22 − + 18= 0(v) 1002 − 20 + 1 = 0 |
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Answer» Answer: (i) x2 – 3x – 10 = x2 - 5x + 2x - 10 = x(x - 5) + 2(x - 5) = (x - 5)(x + 2) Roots of this equation are the values for which (x - 5)(x + 2) = 0 ∴ x - 5 = 0 or x + 2 = 0 ⇒ x = 5 or x = -2 (II) 2x2 + x – 6 = 2x2 + 4X - 3x - 6 = 2x(x + 2) - 3(x + 2) = (x + 2)(2x - 3) Roots of this equation are the values for which (x + 2)(2x - 3) = 0 ∴ x + 2 = 0 or 2x - 3 = 0 ⇒ x = -2 or x = 3/2 (III) √2 x2 + 7x + 5√2 = √2 x2 + 5x + 2x + 5√2 = x (√2x + 5) + √2(√2x + 5)= (√2x + 5)(x + √2) Roots of this equation are the values for which (√2x + 5)(x + √2) = 0 ∴ √2x + 5 = 0 or x + √2 = 0 ⇒ x = -5/√2 or x = -√2 (iv) 2x2 – x + 1/8 = 1/8 (16x2 - 8x + 1) = 1/8 (16x2 - 4x -4x + 1) = 1/8 (4x(4x - 1) -1(4x - 1)) = 1/8(4x - 1)2 Roots of this equation are the values for which (4x - 1)2 = 0 ∴ (4x - 1) = 0 or (4x - 1) = 0 ⇒ x = 1/4 or x = 1/4 (v) 100x2 – 20x + 1 = 100x2 – 10X - 10x + 1 = 10x(10x - 1) -1(10x - 1) = (10x - 1)2 Roots of this equation are the values for which (10x - 1)2 = 0 ∴ (10x - 1) = 0 or (10x - 1) = 0 ⇒ x = 1/10 or x = 1/10 |
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| 9458. |
A bag contains 40 mangoes and some oranges. take one from this. the probability of getting a mango is 4/7. How many fruits are there in the box? What is the probability of getting an orange? If 15 mangoes are taken out from the box. What will be the probability of getting an orange? |
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Answer» Step-by-step EXPLANATION: |
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| 9459. |
Find the sum of series 1/3 + 1/15 + 1/35 to 'n' termsIf you answer this question, I will mark you as brainliest |
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Answer» N/(2n+1) Step-by-step explanation: 1/3+1/3*1/5+1/5*1/7+1/7*1/9 and so on |
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| 9460. |
By what number 2/5 should be multiplied as to get -1 |
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| 9461. |
. Verify whether 2 and o are zeroes of polynomial x3 - 2x² true or false |
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Answer» Answer: 0 is the ZERO of the POLYNOMIAL but 2 is not |
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| 9462. |
If a^2-a+1=0 find a^38+1/a^38 |
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Answer» Step-by-step EXPLANATION: |
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| 9463. |
Using prime factorisation method, find which of the following numbers are perfect squares. (a) 4489 |
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Answer» Step-by-step explanation: The number 4489 is composite and therefore it will have prime FACTORS. Now let us learn how to calculate the prime factors of 4489. The first step is to divide the number 4489 with the smallest prime FACTOR, here it is 67. We keep dividing until it gives a non-zero remainder. 4489 ÷ 67 = 67 67 ÷ 67 = 1 Further dividing 1 by 67 gives a non-zero remainder. So we stop the PROCESS and CONTINUE dividing the number 1 by the next smallest prime factor. We stop ULTIMATELY if the next prime factor doesn't exist or when we can't divide any further. Since, we can't divide any further in this case so we stop. So, the prime factorization of 4489 is 67²
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| 9464. |
2. Represent the following situations in the form of quadratic equations:(i) The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.(ii) The product of two consecutive positive integers is 306. We need to find the integers.(iii) Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.(iv) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km⁄h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train. |
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Answer» Step-by-step explanation: LET us write the multiples of 3. Multiples of 3 are 3, 6, 9, 12, 15... etc. We can ALSO write this as Multiples of 3=3×n, where n = 1, 2, 3, ... m = 3 n. m is the multiple of 3 Thus, we have the following table. n 1 2 3 4 5 m=3n 3 6 9 12 15 Points: (1 , 3), (2 , 6), (3 , 9), (4 , 12), (5 , 15). PLOT all these points and JOIN them. We get the graph for multiples of 3. |
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| 9465. |
7200 रु॰ की राशि 5 वर्षों में 8100 रु॰ हो जाती है । दर को कितना कम कर दिया जाए ताकि मिश्रधन 540 रु॰ कम प्राप्त हो? |
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Answer» BUBU MU Step-by-step EXPLANATION: |
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| 9466. |
Write the sequence natural numbers which leave remainder 1 on division by 4 ? a). Write its algebraic form ? b). Find its 100 th term? |
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Answer» Answer: 9,13,17,21,25 etc are SEQUENCE NATURAL NUMBERS which leaves remainder 1 on division by 4. It's ALGEBRAIC form is 9x,13x,17x,21x,25x It's 100th TERM is |
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| 9467. |
find the zeros of each of the following quadratic polynomial also, in each case verify the relationship between the zeros and coefficient :x2-7x+10 |
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Answer» Answer: Given QUADRATIC POLYNOMIAL x2 + 7x + 10 Using factorisation (splitting the middle term) x2 + 7x + 10 = 0 x2 + (5X + 2x) + 10 = 0 x2 + 5x + 2x + 10 = 0 x(x + 5) + 2 (x + 5) = 0 (x + 5) (x + 2) = 0 Hence, ZEROES of a given quadratic polynomial are – 5 and – 2. Sum of zeroes = -2+(-5) = -2-5 = -7/1 = -x COEFFICIENT /x² coefficient Product of zeroes = (-2)(-5) = 10/1 = constant/x² coefficient |
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| 9468. |
एचसीएफ ऑफ 56 एंड 150 बाय प्राइम फैक्टराइजेशन मेथड |
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Answer» Step-by-step EXPLANATION: yieiyetuwyrotpd27p5xpc57exoeq64Oow57 |
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| 9469. |
. A can type 14 pages a day while B can type 15 pages a day. Working together, how long will A and B take to type 203 pages? |
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Answer» Answer: Answer is 7 days B type 15 pages in 1 day Total no. of pages type in 1 day => 14 + 15 = 29 Time TAKEN to type 203 pages => 203/29 = 7 Therefore, Both A and B will take 7 days to type 203 pages. |
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| 9470. |
In the following triangle , ST || QR , PS/SQ is equal to options a.PT/TR b.PS/TR c.PT/SQ d.PT/SR |
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Answer» Answer: for answer check out the above image Step-by-step EXPLANATION: I HOPE it helps you please mark me brainlist |
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| 9471. |
Plz tell me urgent Plz hurry give this ans |
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Answer» B) -10 Step-by-step EXPLANATION: |
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| 9472. |
If 7, a ,b, 22 are the consecutive terms of an arithmetic Progression, then the values of a and b are respectively equal to ,a) 11 and 16 b) 12 and 17c) 13 and 17d) 12 and 16 |
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Answer» Step-by-step EXPLANATION: a=7 d=5 a , a+d ,a+2d , a+3d |
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| 9473. |
Find the sum of series 1/2 + 1/6 + 1/12 + ------1/n(n+1) terms |
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Answer» n/(n + 1) Step-by-step EXPLANATION: GENERAL term = 1/n(n + 1) = ((n + 1) - n)/n(n + 1) = 1/n - 1/(n + 1) Therefore, let the sum of the SERIES be R. ⇒ 1/2 + 1/6 + 1/12 + ... 1/m(m + 1) = R ⇒ (1/1 - 1/2) + (1/2 - 1/3) + (1/3 - 1/4) + ... [1/(n - 1) - 1/n] + [1/n - 1/(n + 1)] = R ⇒ 1 - 1/(n + 1) = R ⇒ (n + 1 - 1)/(n + 1) = R ⇒ n/(n + 1) = R HENCE, the sum of 1st n terms of this series is n/(n + 1). *better to be seen through browser/desktop-mode |
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| 9474. |
Its important give me the fast and ans |
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Answer» Step-by-step EXPLANATION: Q1) Parallel Q2) No SOLUTION |
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| 9475. |
28 er ager songkhati porer songkha theke(a) 1 er kom/ (b) 1 er besi/(c) 2 er kom (d) 2 er besi |
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Answer» Step-by-step EXPLANATION: |
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| 9476. |
12. A company issued shares at 10% premium, Satish applied for 1000 shares but was allotted 500 shares of this company. Find his investment, if the face value of a share is Rs. 100. a) Rs. 55,000 b) Rs. 50,000 c) Rs. 5,500 d) none of these. |
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Answer» 5,500 is the answer Step-by-step EXPLANATION: THANK you |
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| 9477. |
The lines representing 2 + 3 − 9 = 0 and 4 + 6 − 18 = 0 |
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Answer» ☝️☝️ STEP-by-step EXPLANATION: answer is step by step |
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| 9478. |
The length of a rectangle is 4x2– 4x + 1 and its breadth is 2x2+ x – 2 .Find the area of the rectangle. |
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Answer» Step-by-step EXPLANATION: |
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| 9479. |
1. Check whether the following are quadratic equations:(i) ( + 1)2 = 2( − 3)(ii) 2 − 2 = (−2)(3 − )(iii) ( − 2)( + 1) = ( − 1)( + 3)(iv) ( − 3)(2 + 1) = ( + 5)(v) (2 − 1)( − 3) = ( + 5)( − 1)(vi) 2 + 3 + 1 = ( − 2)2(vii) ( + 2)3 = 2(2 − 1)(viii) 3 − 42 − + 1 = ( − 2)3 |
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Answer» Answer: A ford is a shallow place with good footing where a river or stream may be crossed by wading, or inside a vehicle getting its wheels wet.[1] A ford may OCCUR naturally or be CONSTRUCTED. Fords may be impassable during high water. A low water crossing is a low bridge that ALLOWS crossing over a river or stream when water is low but may be covered by deep water when the river is high.punan ang mga patlang ng tamang salita upang mabuo mo ang MAHALAGANG kaisipan |
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| 9480. |
How to solve 5+(n-1)6 |
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Answer» Step-by-step EXPLANATION: a = 6n - 1 |
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| 9481. |
What is the radius of a circle that has a circumference of 3.14 meters???? |
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Answer» Answer: CIRCUMFERENCE of a circle = 2πr. Circumference of a circle = 2πr.Given, circumference = 3.14 meters. Circumference of a circle = 2πr.Given, circumference = 3.14 meters.Therefore, Circumference of a circle = 2πr.Given, circumference = 3.14 meters.Therefore,2πr = Circumference of a circle Circumference of a circle = 2πr.Given, circumference = 3.14 meters.Therefore,2πr = Circumference of a circleor, 2πr = 3.14. Circumference of a circle = 2πr.Given, circumference = 3.14 meters.Therefore,2πr = Circumference of a circleor, 2πr = 3.14.or, 2 × 3.14r = 3.14,[Putting the VALUE of PI (π) = 3.14]. Circumference of a circle = 2πr.Given, circumference = 3.14 meters.Therefore,2πr = Circumference of a circleor, 2πr = 3.14.or, 2 × 3.14r = 3.14,[Putting the value of pi (π) = 3.14].or, 6.28r = 3.14. Circumference of a circle = 2πr.Given, circumference = 3.14 meters.Therefore,2πr = Circumference of a circleor, 2πr = 3.14.or, 2 × 3.14r = 3.14,[Putting the value of pi (π) = 3.14].or, 6.28r = 3.14.or, R = 3.14/6.28. Circumference of a circle = 2πr.Given, circumference = 3.14 meters.Therefore,2πr = Circumference of a circleor, 2πr = 3.14.or, 2 × 3.14r = 3.14,[Putting the value of pi (π) = 3.14].or, 6.28r = 3.14.or, r = 3.14/6.28.or, r = 0.5 |
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| 9482. |
Let A = {1, 2, 3} and R= {(1, 3), (3, 3)]. Findwhether the relation is (i) reflexive (ii) symmetrie(iii) transitive.The answer is only transitive.Answer it if you know the answer.How is it transitive? |
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Answer»
DETERMINE WHETHER the RELATION R in the set A={1,2,3,.. 13,14} defined as R={(x,y):3x−y=0}, is REFLEXIVE, symmetric and transitive. Answer Relation R on the set A={1,2,3,.,13,14} is defined as R={(x,y):3x−y=0} Let a∈A R is reflexive if (a,a)∈R if 3a−a=0 if 3a=a i.e. if 3=1 which is not true Thus, R is not reflexive (1) Let a,b∈A such that (a,b)∈R ⟹3a−b=0 ⟹3a=b This does not imply 3b=a i.e 3b−a=0 ∴(b,a) does not BELONG to R ∴ For a,b∈A, (a,b)∈R⟹(b,a) is not in R. Thus, R is not symmetric. . (2) Let a,b,c∈A such that (a,b),(b,c)∈R ⟹3a−b=0,3b−c=0 ⟹3a=b,3b=c ⟹3a= 3 c
⟹9a=c This does not imply (a,c)∈R ∴ For a,b,c∈A, (a,b),(b,c)∈R does not imply (a,c)∈R Hence, R is non-reflexive, non-symmetric and non-transitive. Please brainlest me the answer
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| 9483. |
The 10th term of an arithmetic progression 0 ,4 ,8 ,12 . . . .is |
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Answer» Step-by-step EXPLANATION: |
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| 9484. |
19. If A = {1,2,3}, B = {1,2,3,4} and R = {(x,y) : (x,y)A x B, y = x+1}, theni) Write R in roster form. ii) write Domain of Riii) Write Range of R iv) Represent R by an arrow diagram. |
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| 9485. |
...Find the next number in series... 1 , 11 , 21 , 1211 , 111211 , 311221Pls answer it for my friend. |
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Answer» Answer: 1 is READ as "one one", and so the SECOND number is 11. Step-by-step explanation: |
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| 9486. |
2) Given 5 cosA - 12 sin A O, find the value of sin A +COSA 2COS A - Sin A. |
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| 9487. |
. 2+3+4+⋯+(n-1)= *  Option 1  Option 2  Option 3  Option 4 |
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Answer» Answer: 3 |
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| 9488. |
Simplify the following:(a) |
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Answer» ⟹ ⟹ |
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| 9489. |
Find the value of p in 5b square-44 square=12p |
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Answer» Step-by-step EXPLANATION: DOWNLOAD Snapsolve app and get all solutions. |
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| 9490. |
Which of the following is irrationala) (2-√3)^2 b) (√2+√3)^2c) (√2-√3)(√2+√3)d) 2√7/7 |
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Answer» d PART is IRRATIONAL .... |
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| 9491. |
Factorise a^3+b^3 using this factorisation x^3 +1 |
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Answer» |
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| 9492. |
What is the value of √2/2 ? |
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Answer» PLS MARK AS BRAINLIEST THANKS THIS ANSWER BY GIVING HEART OPTION ❤️❤️ PLS ❤️❤️ GIVE ATLEAST 5 STARS ⭐⭐⭐⭐⭐ FOLLOW ME FOR YOUR MORE DOUBT SOLVING HAVE A GREAT DAY AHEAD THANKS FOR READING ❤️ |
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| 9493. |
Numbers when added in any order, give the same answer.TrueFalse |
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Answer» true Step-by-step explanation: For example : If we ADD 2 + 18 We will get = 20 and if we add 18 + 2 then ALSO we will get = 20 |
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| 9494. |
Plz answer wrong answer will be reported |
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Answer» ∠AOP= 120° ∠BOP=60° Step-by-step explanation: we know in a straight LINE the angle is 180° so, ∠AOP+∠BOP=180° (X+30)+(X-30) = 180° 2X +0 =180° X = 90° so ∠AOP=120° ∠BOP= 60° |
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| 9495. |
An Army officer wants to arrange 17424soldiers in a field such that thenumber of rows is equal to the number of columns. How many soldiers will be there in each row. |
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Answer» Step-by-step explanation: Number of soldiers left out =55 Let the number of rows =X Let the number of COLUMNS =x Number of soldiers remained=6455−55 =6400 Now, x 2 =6400 =>x= 6400
=>x=80 Number of columns and number of rows =80 |
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| 9496. |
the sum of first 10 terms of an arithmetic progression is 55 and the sum of first 9 terms of the same arithmetic progression is 45 then its 10th term is |
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| 9497. |
The A.M. between m and 50 is 45 then m is:-)a.) 50.b.) -5.c.) 40.d.) 95.pls tell the correct answer I will mark as brainkist for sure . I need it unlrgent pls tell the correct answer. |
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Answer» Given : A.M. between m and 50 is 45 To Find : VALUE of m Solution :
AM of two number a and b is given by (a + b) /2 Here a = m and b = 50 Hence AM = 45 AM = ( 50+ m )/2 = 45 => 50 + m = 90 => m = 40 Value of m is 40 Learn More" Insert p A.M's between 1 and p2. - Brainly.in Suppose m arithmetic means are inserted between 1 and 31. If the ... After INSERTING n A. MS between 2 and 38, the sum of the resulting ... |
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| 9498. |
The smallest 4-digit number formed by using the dots 8. O. 3 repeating any one of them is |
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Answer» The smallest 4-digit NUMBER formed using the DIGITS 8, 3, 0, 1 is 1038. |
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| 9499. |
Find the largest four digit number devisible by 16 |
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Answer» Answer: |
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| 9500. |
Ascending order of 64 , 338 , 114 , 711 |
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Answer» Answer: ASCENDING ORDER IS 64, 114, 338, 711 HOPE IT HELPED U :-) |
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