What number must be subtracted from each of the numbers 32, 38, 17 and 20, so that the terms formed will be in proportion ?

What number must be subtracted from each of the numbers 32, 38, 17 and 20, so that the terms formed will be in proportion ?
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What number must be subtracted from each of the numbers 32, 38, 17 and 20, so that the terms formed will be in proportion ?
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If x is subtracted from the numbers 7, 31 and 199, then the remainders will be in continued proportion. What is the value of x? a) 5 b) 3 c) 8 d) 4 e) None of these

Description : If x is subtracted from the numbers 7, 31 and 199, then the remainders will be in continued proportion. What is the value of x? a) 5 b) 3 c) 8 d) 4 e) None of these

Last Answer : Answer: B (7-x)/(31-x)= (31-x)/(199-x) gives x=3

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50'. What number is missing? -Riddles

Description : 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50'. What number is missing? -Riddles

Last Answer : 22

There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. Find the mean of the given numbers. -Maths 9th

Description : There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. Find the mean of the given numbers. -Maths 9th

Last Answer : Let x be the mean of 50 numbers. ∴ sum of 50 numbers = 50x Since each number is subtracted from 53. According to question, we have 53 × 50 - 50x / 50 = - 3.5 ⇒ 2650 - 50x = -175 ⇒ 50x = 2825 ⇒ x = 2825 / 50 = 56.5

There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. Find the mean of the given numbers. -Maths 9th

Description : There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. Find the mean of the given numbers. -Maths 9th

Last Answer : Let x be the mean of 50 numbers. ∴ sum of 50 numbers = 50x Since each number is subtracted from 53. According to question, we have 53 × 50 - 50x / 50 = - 3.5 ⇒ 2650 - 50x = -175 ⇒ 50x = 2825 ⇒ x = 2825 / 50 = 56.5

There are 50 numbers. Each number is subtracted from 53 and the mean of the number so obtained is found to be – 3.5. -Maths 9th

Description : There are 50 numbers. Each number is subtracted from 53 and the mean of the number so obtained is found to be – 3.5. -Maths 9th

Last Answer : NEED ANSWER

There are 50 numbers. Each number is subtracted from 53 and the mean of the number so obtained is found to be – 3.5. -Maths 9th

Description : There are 50 numbers. Each number is subtracted from 53 and the mean of the number so obtained is found to be – 3.5. -Maths 9th

Last Answer : Find the mean of the given number is

One writes all numbers from 50 to 99 without the digits 2 and 7. How many numbers have been written? (A) 32 (B) 36 (C) 40 (D) 38

Description : One writes all numbers from 50 to 99 without the digits 2 and 7. How many numbers have been written? (A) 32 (B) 36 (C) 40 (D) 38

Last Answer : Answer: A

Out of 38 ATP molecules produced per glucose, 32 ATP molecules are formed from NADH/FADH2 in (a) respiratory chain (b) Krebs’ cycle (c) oxidative decarboxylation (d) EMP.

Description : Out of 38 ATP molecules produced per glucose, 32 ATP molecules are formed from NADH/FADH2 in (a) respiratory chain (b) Krebs’ cycle (c) oxidative decarboxylation (d) EMP.

Last Answer : (a) respiratory chain

A two digit number is such that the sum of the digits is 11.When the number with the same digits is reversed is subtracted from this number, the difference is 9.What is the number? 1. 23 2. 24 3. 65 4. 14 5. 32

Description : A two digit number is such that the sum of the digits is 11.When the number with the same digits is reversed is  subtracted from this number, the difference is 9.What is the number? 1. 23 2. 24 3. 65 4. 14 5. 32

Last Answer : Answer- 3(65) Explanation:- let the number be written as xy x-ten’s place y units place x+y=11…………………1 (10x+y)-(10y+x)=9 10x+y-10y-x=9 9x-9y=9 x-y=1………………….2 Add (1) & (2) 2x=12 x=6 y=5 the number is 65

Find four numbers, the sum of which is 45, so that if 2 is added to the first number, 2 is subtracted from the second number, the third number is multiplied by 2 and the fourth number is divided by 2, then the four numbers so produced are all the same. What are the four numbers? -Riddles

Description : Find four numbers, the sum of which is 45, so that if 2 is added to the first number, 2 is subtracted from the second number, the third number is multiplied by 2 and the fourth number is divided by 2, then the four numbers so produced are all the same. What are the four numbers? -Riddles

Last Answer : 8 + 2 = 10 12 - 2 = 10 5 x 2 = 10 20 ÷ 2 = 10 45

What is the decimal value of 25? 38) A) 10 B) 20 C) 16 D) 32

Description : What is the decimal value of 25? 38) A) 10 B) 20 C) 16 D) 32

Last Answer : D) 32

Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds? A) 48 B) 24 C) 38 D) 39 E) None of these

Description : Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds? A) 48 B) 24 C) 38 D) 39 E) None of these

Last Answer : Answer: B  Number of turns required= 80 × 54/32 × 8/45 = 24 24 times

There are three different categories of jobs A, B and C. The average salary of the students who got the job of A and B categories is Rs.32 lakh per annum. The average salary of the student who got the job of B and C category is 54 lakh per annum. And the average salary of those students who got the job of A and C is Rs.44 lakh per annum. The most appropriate (or closet) range of average salary of all the three categories (if it is known that each student gets only one category for jobs i.e, A, B and C): A) lies between 30 & 44 B) lies between 48 & 56 C) lies between 38 & 45 D) lies between 49 & 50

Description : There are three different categories of jobs A, B and C. The average salary of the students who got the job of A and B categories is Rs.32 lakh per annum. The average salary of the student who got the job of B ... 30 & 44 B) lies between 48 & 56 C) lies between 38 & 45 D) lies between 49 & 50

Last Answer : Answer: C) Let the number of students who got the jobs of A, B and C categories is a, b and c respectively, ∴Total salary of Aand B = 32 (a +b) ∴Total salary of B and C = 54 (b+ ... the minimum salary must be Rs.38 lakh and the maximum salary cannot exceed 45, which is the highest of the three..

What two square numbers when subtracted make 9?

Description : What two square numbers when subtracted make 9?

Last Answer : They are 25 minus 16 = 9

Two numbers are in the ration 3:5. If 9 is subtracted from the numbers, the ratio becomes 12:23. The numbers are (A) 30, 50 (B) 36, 60 (C) 33, 55 (D) 42, 70

Description : Two numbers are in the ration 3:5. If 9 is subtracted from the numbers, the ratio becomes 12:23. The numbers are (A) 30, 50 (B) 36, 60 (C) 33, 55 (D) 42, 70

Last Answer : Answer: C

Find the smallest number which must be subtracted from the following to make them perfect cubes .What are the corresponding cube roots?

Description : Find the smallest number which must be subtracted from the following to make them perfect cubes .What are the corresponding cube roots?

Last Answer : Find the smallest number which must be subtracted from the following to make them perfect cubes .What are the ... A. 350 B. 833 C. 1400 D. 1730

A grocer bought two kinds of rice at Rs. 38 and Rs. 32 per kg respectively. In what ratio should these two be mixed, so that by selling the mixture at Rs.42.5 per kg, 25% may be gained? a) 2:1 b) 3:2 c) 3:4 d) 1:2

Description : A grocer bought two kinds of rice at Rs. 38 and Rs. 32 per kg respectively. In what ratio should these two be mixed, so that by selling the mixture at Rs.42.5 per kg, 25% may be gained? a) 2:1 b) 3:2 c) 3:4 d) 1:2

Last Answer : d) 1:2

When 20 is subtracted from five times a number the result is the same as when 18 is added to three times the number. what is the number?

Description : When 20 is subtracted from five times a number the result is the same as when 18 is added to three times the number. what is the number?

Last Answer : Need answer

Three pipes P, Q and R can fill a tank from empty to full in 40 minutes, 15 minutes, and 30 minutes respectively. When the tank is empty, all the three pipes are opened. P, Q and R discharge chemical solutions X, Y and Z respectively. What is the proportion of the solution Y in the liquid in the tank after 5 minutes? a) 8 / 15 b) 7 / 15 c) 8 / 17 d) 6 / 13 e) 8 / 13

Description : Three pipes P, Q and R can fill a tank from empty to full in 40 minutes, 15 minutes, and 30 minutes respectively. When the tank is empty, all the three pipes are opened. P, Q and R discharge chemical solutions X, Y and Z respectively. ... 5 minutes? a) 8 / 15 b) 7 / 15 c) 8 / 17 d) 6 / 13 e) 8 / 13

Last Answer : a Part of the tank filled by pipe P in 1 minute = 1 / 40 Part of the tank filled by pipe Q in 1 minute = 1 / 15 Part of the tank filled by pipe R in 1 minute = 1/ 30 Here we have to find the proportion of ... together in 5 minute = 5 1/8 = 5/ 8 Required proportion = (1/3) / ( 5/8) = 8 / 15

Find the range of the given data : 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 -Maths 9th

Description : Find the range of the given data : 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 -Maths 9th

Last Answer : Here, the minimum and maximum values of given data are 6 and 32 respectively. Range = 32 – 6 = 26

Find the range of the given data : 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 -Maths 9th

Description : Find the range of the given data : 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 -Maths 9th

Last Answer : Here, the minimum and maximum values of given data are 6 and 32 respectively. Range = 32 – 6 = 26

The range of the data 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11 and 20 is -Maths 9th

Description : The range of the data 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11 and 20 is -Maths 9th

Last Answer : In conclusion, the range of data 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, and 20 is 26.

The range of the data 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11 and 20 is -Maths 9th

Description : The range of the data 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11 and 20 is -Maths 9th

Last Answer : (d) In a given data, maximum value = 32 and minimum value = 6 We know, range of the data = maximum value – minimum value = 32 – 6 = 26 Hence, the range of the given data is 26.

A short masonry pillar is 60 cm x 60 cm in cross-section, the core of the pillar is a square whose side is (A) 17.32 cm (B) 14.14 cm (C) 20.00 cm (D) 22.36 cm

Description : A short masonry pillar is 60 cm x 60 cm in cross-section, the core of the pillar is a square whose side is (A) 17.32 cm (B) 14.14 cm (C) 20.00 cm (D) 22.36 cm

Last Answer : (B) 14.14 cm

A thermometer measures temperature in whole degrees only. If the temperature falls below 18 degrees, the heating is switched off. It is switched on again when the temperature reaches 21 degrees. What are the best values in degrees to cover all equivalence partitions? A. 15,19 and 25. B. 17,18 and19. C. 18, 20 and22. D. 16, 26 and 32.

Description : A thermometer measures temperature in whole degrees only. If the temperature falls below 18 degrees, the heating is switched off. It is switched on again when the temperature reaches 21 degrees. What are the best values in degrees to ... and 25. B. 17,18 and19. C. 18, 20 and22. D. 16, 26 and 32.

Last Answer : A. 15,19 and 25.

A male human is heterozygous for autosomal genes A and B and is also hemizygous for haemophilic gene h. What proportion of his sperms will be abh? (a) 1/8 (b) 1/32 (c) 1/16 (d) 1/4

Description : A male human is heterozygous for autosomal genes A and B and is also hemizygous for haemophilic gene h. What proportion of his sperms will be abh? (a) 1/8 (b) 1/32 (c) 1/16 (d) 1/4

Last Answer : (a) 1/8

What is 5 hours 5 minutes subtracted from 7 hours 20 minutes?

Description : What is 5 hours 5 minutes subtracted from 7 hours 20 minutes?

Last Answer : 5 hours subtracted from 7 hours is 2 hours. 5 minutes subtracted from 20 minutes is 15 minutes.Therefore, the answer is 2 hours 15 minutes

Find the mean of the data 7, 8, 10, 13, 17, 23, 30, 38, 47, and 57.

Description : Find the mean of the data 7, 8, 10, 13, 17, 23, 30, 38, 47, and 57.

Last Answer : Find the mean of the data 7, 8, 10, 13, 17, 23, 30, 38, 47, and 57.

What is 17 times 38?

Description : What is 17 times 38?

Last Answer : 646 = 17 times 38.

8, 17, 38, 85, 186, ? a) 318 b) 354 c) 397 d) 408 e) 427

Description : 8, 17, 38, 85, 186, ? a) 318 b) 354 c) 397 d) 408 e) 427

Last Answer : Answer: c)

If A = 5, B = 6, C = 7, D = 8 and so on, what do the following numbers stand for? 17, 19, 20, 9, 8 (A) Plane (B) Moped (C) Motor (D) Tonga

Description : If A = 5, B = 6, C = 7, D = 8 and so on, what do the following numbers stand for? 17, 19, 20, 9, 8 (A) Plane (B) Moped (C) Motor (D) Tonga

Last Answer : (B) Moped

If A stands for 5, B for 6, C for 7, D for 8 and so on, then the following numbers stand for 17, 19, 20, 9 and 8 : (A) PLANE (B) MOPED (C) MOTOR (D) TONGA

Description : If A stands for 5, B for 6, C for 7, D for 8 and so on, then the following numbers stand for 17, 19, 20, 9 and 8 : (A) PLANE (B) MOPED (C) MOTOR (D) TONGA

Last Answer : Answer: B If A stands for 5, B for 6, C for 7, D for 8 and so on, then E=9, F=10, G=11, H=12, I=13, J=14, K=15, L=16, M=17, N=18, O=19, P=20. Therefore 17, 19 , 20, 9, 8 = M O P E D.

You are measuring noise in a voice channel with a Lenkurt 601A, F1A weighting network and a flat meter. Your meter reads -47dBm. What is this reading in dBa? A. 77 dBa B. 35 dBa C. 38 dBa D. 32 dBa

Description : You are measuring noise in a voice channel with a Lenkurt 601A, F1A weighting network and a flat meter. Your meter reads -47dBm. What is this reading in dBa? A. 77 dBa B. 35 dBa C. 38 dBa D. 32 dBa

Last Answer : C. 38 dBa

When one glucose molecule is completely oxidised, it changes (a) 36 ADP molecules into 36 ATP molecules (b) 38 ADP molecules into 38 ATP molecules (c) 30 ADP molecules into 30 ATP molecules (d) 32 ADP molecules into 32 ATP molecules.

Description : When one glucose molecule is completely oxidised, it changes (a) 36 ADP molecules into 36 ATP molecules (b) 38 ADP molecules into 38 ATP molecules (c) 30 ADP molecules into 30 ATP molecules (d) 32 ADP molecules into 32 ATP molecules.

Last Answer : (b) 38 ADP molecules into 38 ATP molecules

Supercritical is ___% efficient than subcritical boiler. a. 42-47 b. 50-55 c. 32-38 d. More than 60

Description : Supercritical is ___% efficient than subcritical boiler. a. 42-47 b. 50-55 c. 32-38 d. More than 60

Last Answer : a. 42-47

One slice of whole wheat bread is ____ percent water. a. 28 c. 32 b. 25 d. 38

Description : One slice of whole wheat bread is ____ percent water. a. 28 c. 32 b. 25 d. 38

Last Answer : d. 38

What is the DeBroglie wavelength of a 1,200 kilogram corvette traveling at a rate of 25 meters per second? Planck's constant is equal to 6.62 x 10-34 Joule-seconds. w) 5.3 x 10-32 meters x) 5.9 x 10-34 meters y) 2.1 x 10-38 meters z) 1.6 x 10-40 meters

Description : What is the DeBroglie wavelength of a 1,200 kilogram corvette traveling at a rate of 25 meters per second? Planck's constant is equal to 6.62 x 10-34 Joule-seconds. w) 5.3 x 10-32 meters x) 5.9 x 10-34 meters y) 2.1 x 10-38 meters z) 1.6 x 10-40 meters

Last Answer : ANSWER: Y -- 2.1 x 10-38 METERS

Consider the fractional knapsack instance n = 4, (p1, p2, p3, p4) = (10, 10, 12, 18), (w1, w2, w3, w4) = (2, 4, 6, 9) and M = 15. The maximum profit is given by (Assume p and w denotes profit and weight of objects respectively) (A) 40 (B) 38 (C) 32 (D) 30

Description : Consider the fractional knapsack instance n = 4, (p1, p2, p3, p4) = (10, 10, 12, 18), (w1, w2, w3, w4) = (2, 4, 6, 9) and M = 15. The maximum profit is given by (Assume p and w denotes profit and weight of objects respectively) (A) 40 (B) 38 (C) 32 (D) 30

Last Answer : (B) 38

The average age of K and L is 48 years. If M replaced K, the average age would be 40 and if M replaced L, the average would be 44. What are the ages of K,L,M repectively? A) 58, 46, 22 B) 32, 44, 36 C) 52,44,36 D) 56, 22,38

Description :  The average age of K and L is 48 years. If M replaced K, the average age would be 40 and if M replaced L, the average would be 44. What are the ages of K,L,M repectively? A) 58, 46, 22 B) 32, 44, 36 C) 52,44,36 D) 56, 22,38

Last Answer : Answer: C)  Total age of K& L = 48*2 = 96 yrs----->1 Total age of L& M = 40*2 = 80yrs----->2 Total age of K& M = 44*2 = 88 yrs----->3 from 1, 2, 3 K+L+M =132---->4 from 1 & 4, M= 36 from 2 & 4, K=52 from 3 & 4, L=44 Hence the required answer is 52,44,36 

The cost of Type 1 material is Rs. 50per kg and Type 2 material is Rs.75 per kg. If both Type 1 and Type 2 are mixed in the ratio of 3:2 then what is the price per kg of the mixed variety of material? a) 32 b) 38 c) 53 d) 62 e) 60

Description : The cost of Type 1 material is Rs. 50per kg and Type 2 material is Rs.75 per kg. If both Type 1 and Type 2 are mixed in the ratio of 3:2 then what is the price per kg of the mixed variety of material? a) 32 b) 38 c) 53 d) 62 e) 60 

Last Answer : E Cost Price (CP) of Type 1 material is Rs. 50 per kg Cost Price (CP) of Type 2 material is Rs. 75 per kg Let Cost Price(CP) of resultant mixture be Rs.x per kg

Prior to using an analog type ohmmeter, the leads are purposely shorted together. Which of the following actions should be taken if, when adjusting to 'zero' ohms, the indicating needle can not be returned to 'zero' on the scale? A. The lead clips should be replaced. B. The batteries should be replaced. C. The test reading should be added to each final reading. D. The test reading should be subtracted from each final reading.

Description : Prior to using an analog type ohmmeter, the leads are purposely shorted together. Which of the following actions should be taken if, when adjusting to 'zero' ohms, the indicating needle can not be ... be added to each final reading. D. The test reading should be subtracted from each final reading.

Last Answer : Answer: B

In what proportion must sugar at Price 4.10 per kg must be mixed with weat at Price 4.60 per kg, so that the mixture be worth Rs 4.30 a Kg ? A)3:2 B)2:3 C)5:3 D)None of these

Description : In what proportion must sugar at Price 4.10 per kg must be mixed with weat at Price 4.60 per kg, so that the mixture be worth Rs 4.30 a Kg ? A)3:2 B)2:3 C)5:3 D)None of these

Last Answer : A)3:2

What least number would be subtracted from 427398 so that the remaining number is divisible by 15? 1. 13 2. 3 3. 16 4. 11 5. 14

Description : What least number would be subtracted from 427398 so that the remaining number is divisible by 15? 1. 13 2. 3 3. 16 4. 11 5. 14

Last Answer : Answer- 2 ( 3) Explanation:- On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted 

The numbers 3,6,8,12 are in proportion. Is it true or false?

Description : The numbers 3,6,8,12 are in proportion. Is it true or false?

Last Answer : The numbers 3,6,8,12 are in proportion. Is it true or false?

The numbers 4, 7, 8 and 14 are in proportion. (True/False)

Description : The numbers 4, 7, 8 and 14 are in proportion. (True/False)

Last Answer : The numbers 4, 7, 8 and 14 are in proportion. (True/False)

How to define the following terms with examples: Ratio, Proportion, Unitary method.?

Description : How to define the following terms with examples: Ratio, Proportion, Unitary method.?

Last Answer : Ratio shows the relationship between two or three numbers, for instance, how many times the first or the second number can enter the third number. Example, 3:2:1 is twice 6:4:2. Proportion ... variations. In short, unitary methods involve the use of ratios and proportions to find the desired value.

Which of the following is a group of terms related to landscape design principles? a. Stratify, random, curvature b. Focalization, proportion, simplicity c. Hogarth, symmetrical, curvature d. Thresh, rounding, complexity

Description : Which of the following is a group of terms related to landscape design principles? a. Stratify, random, curvature b. Focalization, proportion, simplicity c. Hogarth, symmetrical, curvature d. Thresh, rounding, complexity

Last Answer : Focalization, proportion, simplicity

Which of these numbers is prime - a. 35 or b. 36 or c. 37 or d. 38 or e. 39?

Description : Which of these numbers is prime - a. 35 or b. 36 or c. 37 or d. 38 or e. 39?

Last Answer : The answer is c. 3735 = 5 x 736 = 2 x 2 x 3 x 339 = 3 x 13

Four members of a band are walking to a night concert. They decide to take a shortcut, but must cross a bridge. Luckily they have one flashlight. Because of the varying size of their instruments, it takes each member a different amount of time to cross the bridge - it takes the first person one minute, the second person two minutes, the third person five minutes and the fourth person ten minutes. They must cross the bridge in pairs, travelling at the slower speed so if the one minute person went with the ten minute person, it would take a total of ten minutes. Since there is only one flashlight, one person must come back across the bridge, then another pair can cross. They only have 17 minutes to cross the bridge and still get to the concert on time. What order should they cross to get eve

Description : Four members of a band are walking to a night concert. They decide to take a shortcut, but must cross a bridge. Luckily they have one flashlight. Because of the varying size of their instruments, it ... bridge and still get to the concert on time. What order should they cross to get eve -Riddles

Last Answer : First, the one minute person and the two minute person must cross the bridge, for a total of two minutes. Then the one minute person should come back with flashlight - total of three ... minutes) and gets the one minute person and they cross together bringing the total to seventeen minutes.

Find the polynomial of least degree which should be subtracted from the polynomial x4 + 2x3 – 4x2 + 6x – 3 so that it is exactly divisible by x2 – x + 1. -Maths 10th

Description : Find the polynomial of least degree which should be subtracted from the polynomial x4 + 2x3 – 4x2 + 6x – 3 so that it is exactly divisible by x2 – x + 1. -Maths 10th

Last Answer : Here, p(x) = x4 + 2x3 - 4x2 + 6x - 3, g(x) = x2 - x +1 On dividing p(x) by g(x) Therefore (x-1) must be subtracted from the polynomial p(x) to make it divisible by g(x).