What least number must be subtracted from 1294 which when divided by 9 11 and 13 will leave the same remainder 6 in each case?

Also Read Similar Questions Below :

⇒ The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77, find the other.668979

⇒ A father is twice as old as his son. 20 years ago the age of the father was 12 times the age of the son. The present age of the father is :44 years32 years22 years

45 years

⇒ The greatest number that will divide 82, 111 and 140 leaving the same remainder in each case is584731

⇒ The least perfect square number which divides 20, 15 and 24 is360040014400

17280

⇒ Find the greatest possible length which can be used to measure exactly the lengths 4m 95 cm, 9m and 16m 65 cm.445445

⇒ The largest natural number which exactly divides the product of any four consecutive natural numbers is :61224

120

⇒ What least number must be subtracted from 1294 so that the remainder when divided 9, 11, 13 will leave in each case the same remainder 6 ?412

⇒ Find the HCF of 24,30,60,72 and 96.369

⇒ The ratio of Vimal's age and Aruna's age is 3:5 and sum of their ages is 80 years. The ratio of their ages after 10 years will be :-2:31:23:2

3:5

⇒ About the number of pairs which have 16 as their HCF and 136 as their LCM, the conclusion can be-only one such pair existsonly two such pairs existmany such pairs exist

no such pair exists

⇒ The ratio between the ages of A and B at present is 2: 3 Five years hence the ratio of their ages will be 3:4. What is the present age of A ?5 years10 years15 years

none of these

⇒ Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is456

⇒ What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?1966301260

2520

⇒ Find the HCF of 2/3,3/4 and 4/5.1/602/51/12

2/15

⇒ The greatest number which can divide 1354, 1866, 2762 leaving the same remainder 10 is each case is :-------12415664

260

⇒ A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?26 minutes and 18 seconds42 minutes and 36 seconds45 minutes

46 minutes and 12 seconds

⇒ Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?41015

⇒ The G.C.D. of 1.08, 0.36 and 0.9 is:0.030.90.18

0.108

⇒ Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. The sum of the digits of N is765

⇒ How many multiples does the number 24 have?8612

Infinite

⇒ The sum of two numbers is 216 and their H.C.F. is 27. The numbers are :27, 18981, 189108, 108

154, 162

⇒ If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:55/6015/60112/120

11/120

⇒ A number when divided by 6 leaves a remainder of 5, when divided by 5 leaves a remainder of 4, when divided by 4 leaves a remainder of 3, when divided by 3 leaves a remainder of 2 and when divided by 2 leaves a remainder of 1. Find the number.594929

⇒ Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.479

⇒ The HCF of 2 prime numbers istheir producttheir sumone

zero

⇒ LCM of 87 and 145 is :-----------8701305435

1740

⇒ The H.C.F. of 9/10, 12/25, 18/35 and 21/40 is3/5252/53/1400

7/700

⇒ The ages of Ravi Rani are in the ratio of 3:5. After 9 years, the ratio of their ages will become 3:4. The present age of Rani is : (in years )91518

⇒ Five years ago, the total of the ages of a father and his son was 40 years. The ratio of their present ages is 4 : 1. What is the present age of the father ?30 years25 years20 years

None of these

⇒ The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is :121624

Correct Answer:

Description for Correct answer:

Remaining Number LCM \( \Large (9,11,13)+6=1293 \)

Least Number\( \Large =1294-1293=1 \)

Part of solved Number series questions and answers : >> Aptitude >> Number series

Comments

Similar Questions

NUMBER SYSTEM

Various Types of Numbers

1. Natural Numbers:

Counting number is known as natural number.

eg. 1, 2, 3, 4 …..,,∞

2. Whole Numbers:

Natural number including zero (0) is known as whole numbers.

e.g., 0, 1, 2, 3, …..,∞

3. Integers:

The set of positive and negative whole numbers including 0 is known as integers.

e.g., ...-3, -2, -1, 0, 1, 2, 3, .....

4. Rational Numbers:

The numbers of the form pq, where q≠0 and p and q are integer is known as rational number.

e.g., 51,-21,-57,01,15,35 etc.

5. Irrational Numbers:

The number, which is non-repeating and non-terminating, is called irrational number.
e.g., 3,5,2, etc.

π is also an irrational number.

6. Real Numbers:

All rational and irrational numbers are known as real numbers.

e.g., 5, 7, 3, 12, 15, 1217, 3,5 etc.

7. Even Numbers:

The number, which is multiple of or divisible by 2, is called even number.

e.g., 2, 4, 6, 8, .....

8. Odd Numbers:

The number, which is neither multiple of 2 nor divisible by 2, is called odd number.

e.g., 1,3,5,7, .....

9. Prime Numbers:

The number, which has only two factors i.e., 1 and itself, is called prime number.

e.g., 2,3,5,7,11,13,........

2 is only even number which is prime.

10. Composite Numbers:

The number, which has more than two factors, is known as composite number.

e.g., 4, 8, 9, 10,.....

4 is composite number because it is divisible by 1, 2 and 4.

Divisibility Rules for a Number

A number is divisible

By 2 when its unit's place digit is even or 0 (zero).

by 3 when the sum of digits is divisible by 3.

by 4 when the number formed by its last two digits is divisible by 4.

by 5 when its unit's place digit is 0 or 5.

by 6 when it is divisible by 2 and 3 both.

by 8 when the number formed by its last three digits is divisible by 8.

by 9 when the sum of its digits is divisible by 9.

by 10 when its unit's place digit is 0.

by 11 when add the digits at even places and that an odd places and if the difference of these two sums is zero or a multiple of 11, the number is divisible by 11.

by 12 when it is divisible by 3 and 4.

Dividend = Divisor × Quotient + Remainder

To Check Divisibility of Any Unknown Number

Suppose we have given with a number such as 365 and we have to find is this number is divisible or not. To do this, first of all take the square root of this number. i.e., 365=19.

Now, divide it through all the prime numbers less than 19 i.e., 2,3,5,7,11,13,17. If this is divisible by any of these prime numbers, then this is a divisible number, otherwise it is also a prime number.

Home » Aptitude » LCM and HCF » Question