The sum of two numbers is 528 and their H.C.F is 33. What is the number of pairs of such numbers ? (a) 4 (b) 12 (c) 8 (d) 6

The sum of two numbers is 528 and their H.C.F is 33. What is the number of pairs of such numbers ? (a) 4 (b) 12 (c) 8 (d) 6
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1 Answer

Answer :

Ans 5. 4

Hint : Let the number be 33x and 33y where x and y are co-prime.
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Related questions

The L.C.M of two numbers is 14 times their H.C.F . The sum of the L.C.M. and the H.C.F . is 600. If one number is 280 , then the other number is (a) 40 (b) 60 (c) 80 (d) 100

Description : The L.C.M of two numbers is 14 times their H.C.F . The sum of the L.C.M. and the H.C.F . is 600. If one number is 280 , then the other number is (a) 40 (b) 60 (c) 80 (d) 100

Last Answer : 80

The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of these numbers is 275, then find the other number.

Description : The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of these numbers is 275, then find the other number.

Last Answer : Ans 2. Product of two number s = product of their H.C.F. and L.C.M. required number = 11 X 7700/275 = 308

Six bells commencing tolling together toll at intervals of 2, 3, 6, 8 , 10 and 12 seconds respectively.In 30 minutes how many times do they toll together?

Description : Six bells commencing tolling together toll at intervals of 2, 3, 6, 8 , 10 and 12 seconds respectively.In 30 minutes how many times do they toll together?

Last Answer : Ans 1. L.C.M of 2, 4, 6, 8, 10 and 12 is 120. so, the bells will toll together after 120 seconds i.e. 2 minutes . In 30 minutes the bells toll together 30/2 + 1 times i.e. times.

The largest numbers which divides 30, 78 and 102 to leave the same remainder in each case is (a)24 (b) 20 (c) 8 (d) 16

Description : The largest numbers which divides 30, 78 and 102 to leave the same remainder in each case is (a)24 (b) 20 (c) 8 (d) 16

Last Answer : 24

A gardener had a number of shrubs to plant in rows . At first he tried to plant 8, then 12 and then 16 in a row but he always had 3 shrubs left with him . On trying 7 shrubs he was left with none.Find the total number of shrubs.

Description : A gardener had a number of shrubs to plant in rows . At first he tried to plant 8, then 12 and then 16 in a row but he always had 3 shrubs left with him . On trying 7 shrubs he was left with none.Find the total number of shrubs.

Last Answer : Ans 3. L.C.M of 8,12,16 = 48 Now, 48 x 1 + 3 = 51 - not divisible by 7 48 x 2 + 3 = 99 - not divisible by 7 48 x 3 + 3 = 147 - not divisible by 7 Required number = 147

Find the least number of five digits which is exactly divisible by 12, 15 and 18. (a) 1080 (b) 10080 (c) 10025 (d) 11080

Description : Find the least number of five digits which is exactly divisible by 12, 15 and 18. (a) 1080 (b) 10080 (c) 10025 (d) 11080

Last Answer : 10080 Hint : The least number of 5 digits is 10000. L.C.M. of 12, 15 and 18 is 180 . On dividing 10000 is 100. => 10000 + 180- 100 = 10080 is divisible by 180.

Three measuring rods are 64 cm,80 cm and 96 cm in length . What is the least length of cloth that can can be measured exact number of times using any one of these rods? (a) 9.60 m (b) 8 m (c) 9.60 cm (d) 96 m

Description : Three measuring rods are 64 cm,80 cm and 96 cm in length . What is the least length of cloth that can can be measured exact number of times using any one of these rods? (a) 9.60 m (b) 8 m (c) 9.60 cm (d) 96 m

Last Answer : Ans 4. 9.60 m

Find the greatest unit of time with which 5 hours 15 minutes and 8 hours 24 minutes can both be represented as integers. (a) 70 min. (b) 63 min. (c) 48 min. (d) 42 min.

Description : Find the greatest unit of time with which 5 hours 15 minutes and 8 hours 24 minutes can both be represented as integers. (a) 70 min. (b) 63 min. (c) 48 min. (d) 42 min.

Last Answer : 63 min. 

The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19 , 29 and 34 respectively is (a) 1994 (b) 1494 (c) 1394 (d) 1496

Description : The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19 , 29 and 34 respectively is (a) 1994 (b) 1494 (c) 1394 (d) 1496

Last Answer : 1394 Hint: Note that 20 -4 = 6; 25 -19 = 6;35-29= 6;40- 34 = 6 Required number = L.C.M. of ( 20, 25, 35 and 40)-6

The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is: A.1 B.2 C.3 D.5 E.None of these

Description : The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is: A.1 B.2 C.3 D.5 E.None of these

Last Answer : Answer – B (2) Explanation – Let the numbers 13a and 13b. Then, 13a x 13b = 2028 ab = 12. Now, the co-primes with product 12 are (1, 12) and (3, 4).

The sum of 2 numbers is 216, and their HCF is 27. How many such pairs of numbers exist? (A pair a unique set of 2 numbers, so (a, b) and (b, a) will be considered as 1 pair). a) 0 b) 1 c) 2 d) 3 e) 4

Description : The sum of 2 numbers is 216, and their HCF is 27. How many such pairs of numbers exist? (A pair a unique set of 2 numbers, so (a, b) and (b, a) will be considered as 1 pair). a) 0 b) 1 c) 2 d) 3 e) 4

Last Answer : Let the numbers be a,b A = 27m, b = 27n where m, n are co-prime 27(m + n) = 216, or m+n = 8 M = 1, n = 7 and m = 3, n = 5 are the only 2 co – prime pairs possible. So we have 2 pairs: (27 , 189) and ( 81, 135) Answer: c)

There are two sets of five numbers each – set P and set Q. P is a set of consecutive even numbers and Q is a set of consecutive numbers. The sum of the numbers of P is 230. The second least number in Q is 33 less than twice the least number in P. Find the sum of the numbers in Q. 1 : 260 2 : 250 3 : 240 4 : 270 5 : None of these

Description : There are two sets of five numbers each - set P and set Q. P is a set of consecutive even numbers and Q is a set of consecutive numbers. The sum of the numbers of P is 230. The second least number in Q is 33 less ... the sum of the numbers in Q. 1 : 260 2 : 250 3 : 240 4 : 270 5 : None of these

Last Answer : 1 : 260

What will be the output? numberGames = {} numberGames[(1,2,4)] = 8 numberGames[(4,2,1)] = 10 numberGames[(1,2)] = 12 sum = 0 for k in numberGames: sum += numberGames[k] print len(numberGames) + sum Page No 36 a) 30 b) 24 c) 33 d) 12

Description : What will be the output? numberGames = {} numberGames[(1,2,4)] = 8 numberGames[(4,2,1)] = 10 numberGames[(1,2)] = 12 sum = 0 for k in numberGames: sum += numberGames[k] print len(numberGames) + sum Page No 36 a) 30 b) 24 c) 33 d) 12

Last Answer : a) 30

Three friends A, B and C started a business by investing a sum of money in the ratio of 5 : 7 : 6. After 6 months C withdraws half of his capital. If the sum invested by ‘A’ is Rs 40,000, out of a total annual profit of Rs 33,000, C’s share will be a) Rs 9,000 b) Rs 12,000 c) Rs 11,000 d) Rs 10,000 e) None of these

Description : Three friends A, B and C started a business by investing a sum of money in the ratio of 5 : 7 : 6. After 6 months C withdraws half of his capital. If the sum invested by A' is Rs 40,000, out of a total annual ... share will be a) Rs 9,000 b) Rs 12,000 c) Rs 11,000 d) Rs 10,000 e) None of these

Last Answer : Answer: A Sum invested by A , B and C is 5 * 12:7 * 12:6 * 6 + 3 * 6 or 60 : 84 : 54 or 10 : 14 : 9 :: Share of C = ( 9 / 33 ) * 33000 = Rs. 9000

In hydrogen atom, the electron is making `6.6xx10^(15) rev//sec` around the nucleus in an orbit of radius `0.528 A`. The magnetic moment `(A-m^(2)) wi

Description : In hydrogen atom, the electron is making `6.6xx10^(15) rev//sec` around the nucleus in an orbit of radius `0.528 A`. The magnetic moment `(A-m^(2)) wi

Last Answer : In hydrogen atom, the electron is making `6.6xx10^(15) rev//sec` around the nucleus in an orbit of radius `0. ... ` C. `1xx10^(-23)` D. `1xx10^(-27)`

When the celebrated German mathematician Karl Friedrich Gauss (1777-1855) was nine he was asked to add all the integers from 1 through 100. He quickly added 1 to 100, 2 to 99, and so on for 50 pairs of numbers each adding to 101. 50 X 101=5,050.Now find the sum of all the digits in integers from 1 through 1,000,000,000.That's all the digits in all the numbers, not all the numbers themselves. -Riddles

Description : When the celebrated German mathematician Karl Friedrich Gauss (1777-1855) was nine he was asked to add all the integers from 1 through 100. He quickly added 1 to 100, 2 to 99, and so on for 50 pairs ... 1,000,000,000.That's all the digits in all the numbers, not all the numbers themselves. -Riddles

Last Answer : The numbers can be grouped by pairs: 999,999,999 and 0; 999,999,998 and 1' 999,999,997 and 2; and so on.... There are half a billion pairs, and the sum of the digits in each pair is 81. The digits in the unpaired number, 1,000,000,000, add to 1. Then: (500,000,000 X 81) + 1= 40,500,000,001.

A number consists of two digits whose sum is 8. If 8 is subtracted from the number, the digits interchange their places. The number is (1) 44 (2) 35 (3) 62 (4) 33

Description : A number consists of two digits whose sum is 8. If 8 is subtracted from the number, the digits interchange their places. The number is (1) 44 (2) 35 (3) 62 (4) 33

Last Answer : (4) 33

A project activity has several components as indicated below; S. No. Activity Preceded by Duration (in Weeks) 1 A - 8 2 B A 6 3 C A 12 4 D B 4 5 E D 5 6 F B 12 7 G E& F 9 8 H C 8 9 I F & H 5 10 J I & G 6 d. Prepare a PERT chart, estimate the duration of the project and identify the critical path.

Description : A project activity has several components as indicated below; S.  No. Activity Preceded by Duration (in  Weeks) 1 A - 8 2 B A 6 3 C A 12 4 D B 4 5 E D 5 6 F B 12 7 G E& F ... H 5 10 J I & G 6 d. Prepare a PERT chart, estimate the duration of the project and identify the  critical path.

Last Answer : PERT Diagram based on Activity on Arrow  .  E  D 5 G B 5 9 J, 6 A 6 F,12 I ,5 8 c 12 H 8 OR  PERT Diagram based on Activity on Node …………………….6 marks a. Critical Path: A-B-F-G-J …………………….1 mark  b. Estimated Project Duration: 41 weeks

What is the degree of f The table shows ordered pairs for a polynomial function, fх f(x)-3 63--2 8-1 - 10 01 -12 83 63?

Description : What is the degree of f The table shows ordered pairs for a polynomial function, fх f(x)-3 63--2 8-1 - 10 01 -12 83 63?

Last Answer : The table shows ordered pairs for a polynomial function, fх f(x)-3 63--2 8-1 - 10 01 -12 83 63What is the degree of f?

What is the average number of candidates who did not qualify in the exam in the years 2003 and 2005? A. 576 B. 556 C. 528 D. 546 E. None of the Above

Description : What is the average number of candidates who did not qualify in the exam in the years 2003 and 2005? A. 576 B. 556 C. 528 D. 546 E. None of the Above

Last Answer : C. 528

The sum of two numbers is 12 and their difference is 8?

Description : The sum of two numbers is 12 and their difference is 8?

Last Answer : the sum of two numbers is

The average monthly income of certain fashion designers is F and that other workers is N. The number of fashion designer workers is 33 times that of other workers. The average monthly income (in rs) of all the worker is. A) F+N/2 B) F+33N/12 C) 33F+N/22 D) (33F+N)/34

Description : The average monthly income of certain fashion designers is F and that other workers is N. The number of fashion designer workers is 33 times that of other workers. The average monthly income (in rs) of all the worker is. A) F+N/2 B) F+33N/12 C) 33F+N/22 D) (33F+N)/34

Last Answer : D) Let the number of other workers be ‘x’. The number of fashion design workers = 33x Total number of workers = 34x Average monthly income = (F * 33x)+(N*x)/34x =x(33F + N)/34x =(33F + N)/34.

Take a look at my words ? If the additional benefits of this site are changed , then what are the many additional benefits of those who now have 442 , 304, 528, 52 points ? Since additional benefits are being given according to the points. I did not understand so I asked the question. What is the reason for this ?

Description : Take a look at my words ? If the additional benefits of this site are changed , then what are the many additional benefits of those who now have 442 , 304, 528, 52 points ? Since additional benefits are ... to the points. I did not understand so I asked the question. What is the reason for this ?

Last Answer : Your idea is wrong. Here ordinary members can get three advantage points. But the people you are talking about are special members. They have earned positions by doing good deeds . Experts , ... good deeds, you will be given positions gradually. Now you are an expert in the history department

528 times 0.2?

Description : 528 times 0.2?

Last Answer : 105.6

7 divided by 528?

Description : 7 divided by 528?

Last Answer : 0.0133

7 divided by 528?

Description : 7 divided by 528?

Last Answer : 0.0133

The population of a town was 200000 three years ago. If increased by 4%, 6% and 10% respectively in the last three years, then the present population of town is a) 1,10,313 b) 1,10,314 c) 2,42,528 d) 2,93,313 e) 2,10,313

Description : The population of a town was 200000 three years ago. If increased by 4%, 6% and 10% respectively in the last three years, then the present population of town is a) 1,10,313 b) 1,10,314 c) 2,42,528 d) 2,93,313 e) 2,10,313

Last Answer : Answer: C The present population = (1+4/100)×(1+6/100)×(1+10/100)×200000  = (104/100) × (106/100) × (110/100) × 200000  = 1.04×1.06×1.1×200000  = 2,42,528

What number is a multiple of 6 and 12 and has the sum of 9 numbers?

Description : What number is a multiple of 6 and 12 and has the sum of 9 numbers?

Last Answer : All multiples of 12 are also multiples of 6 and they all can bewritten as the sum of nine numbers.

What two numbers have the sum of 12 and the difference of 8?

Description : What two numbers have the sum of 12 and the difference of 8?

Last Answer : The two numbers are 10 and 2

What two numbers have the sum of 12 and the difference of 8?

Description : What two numbers have the sum of 12 and the difference of 8?

Last Answer : The two numbers are 10 and 2

The sum of the ages of the 4 members of Sinha family is 172 years. 8 years ago the ages of the 4 members Nishu, Vicky, Mrs.Sinha and Sinha were in the ratio of 2:3:7:8. After how many years would Nishu be as old as the present age of his mother? a) 33 years b) 35 years c) 36 years d) 37 years e) None of these

Description : The sum of the ages of the 4 members of Sinha family is 172 years. 8 years ago the ages of the 4 members Nishu, Vicky, Mrs.Sinha and Sinha were in the ratio of 2:3:7:8. After how many years would Nishu be ... present age of his mother? a) 33 years b) 35 years c) 36 years d) 37 years e) None of these

Last Answer : Answer: B Let their ages 8 years ago be 2x, 3x, 7x, and 8x. Their ages now 2x+8, 3x+8, 7x+8, 8x+8. According to the question, =2x+8+3x+8+7x+8+8x+8=172 20x+32=172 =>x=140/20=7 Present age of Nishu=2×7+8=22 years Present age of mother=7×7+8=57 years Hence, required years (57-22)=35 years

The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is: A.269 B.275 C.308 D.310 E.None of these

Description : The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is: A.269 B.275 C.308 D.310 E.None of these

Last Answer : Answer – C (308) Explanation – Other number =[11 x 7700]/275 = 308

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

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

The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is: A.124 B.100 C.111 D.175 E.None of these

Description : The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is: A.124 B.100 C.111 D.175 E.None of these

Last Answer : Answer – C (111) Explanation – Let the numbers be 37a and 37b. Then, 37a x 37b = 4107 ab = 3. Now, co-primes with product 3 are (1, 3). So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111). Greater number = 111.

3 people A, B, C invested in a business in the ratio of 5:6:9. After 3months B withdraw half of her capital. If the Sum invested by A is 32000, then what is the profit earned by B at the end of the year out of the total profit of Rs. 48250? A) 17965.33 B) 70767.50 C) 46189.25 D) 10193.66

Description : 3 people A, B, C invested in a business in the ratio of 5:6:9. After 3months B withdraw half of her capital. If the Sum invested by A is 32000, then what is the profit earned by B at the end of the year out of the total profit of Rs. 48250? A) 17965.33 B) 70767.50 C) 46189.25 D) 10193.66

Last Answer : Answer: D) Let A, B, C put amounts be 5x,6x,9x respectively Then A's investment is 5x=32000=> x=Rs.6400 Then, B, C puts amount is Rs.38400 & 57600 =32000*12 : 38400 *3 +19200 * 9:57600*12 =>384000:288000:691200 =20:15:36 B’s profit is 48250* 15/71 =Rs. 10193.66

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Description : In this series 6, 4, 1, 2, 2, 8, 7, 4, 2, 1, 5, 3, 8, 6, 2, 2, 7, 1, 4, 1, 3, 5, 8, 6, how many pairs of successive numbers have a difference of 2 each ? (A) 4 (B) 5 (C) 6 (D) 8

Last Answer : Answer: C

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Description : Number of the pairs of the spinal nerves are: (1) 30 (2) 31 (3) 33 (4) 32

Last Answer : (2) 31 Explanation: Spinal nerve. Spinal nerve, in vertebrates, any one of many paired peripheral nerves that arise from the spinal cord. In humans there are 31 pairs: 8 cervical, 12 thoracic, 5 ... 5 sacral, and 1 coccygeal. Each pair connects the spinal cord with a specific region of the body.

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Description : A two digit number exceeds forty percent of another two digit number by 16. If the sum of these two digit numbers is 72, which of the following is the difference between these two digit numbers ? a) 10 b) 6 c) 8 d) 14 e) None of these

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Last Answer : Answer: C

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Description : The sum of two numbers is 12 and their diffrence is 4?

Last Answer : the two numbers are 8 and 4

The present age of A is twice that of B. The sum of their present ages is 33 years. Find the present age of A (in years)

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Description : The sum of all the integral values of a {where `a in (-10, 10)}` such that the graph of the function `f(x)=||x-2|-a|-3` has exastly three x-intercepts

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Description : What are the missing numbers 69 66 33 15 6?

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Find two numbers whose sum is 12 and the product of the square of one part and the 4th power of other is maximum.

Description : Find two numbers whose sum is 12 and the product of the square of one part and the 4th power of other is maximum.

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What two numbers have a product of 32 and a sum of 12?

Description : What two numbers have a product of 32 and a sum of 12?

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Now it was Ravi‘s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is less than or equal to 12? a. 1 b. 5/36 c. 1/18 d. 0

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Last Answer : a. 1