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The HCF and LCM of two numbers are 66 and 384 respectively. If the first number is divided by 2, the resulting answer is 66. The second number is? |
A) 192
B) 196
C) 384
D) 576
Correct Answer : 192 Explanation : First number= 66 * 2 = 132 |
The LCM of two numbers is 280 and the ratio of the numbers of 7 : 8. Find the numbers? |
A) 70 and 48
B) 42 and 48
C) 35 and 40
D) 28 and 32
Correct Answer : 35 and 40 Explanation : Let the two numbers are 7x and 8x and LCM is 56x. |
HCF of 105, 150 and 210 is x, HCF of 126, 396,1080 is y and HCF of 440, 180 and 280 is z. Which of the following is greatest? |
A) x
B) y
C) z
D) All are equal
Correct Answer : z Explanation : HCF of 105, 150, 210 |
The five bells start ringing together and they toll at intervals of 6, 7, 8, 9 and 12 seconds respectively. After how many seconds will they toll together again? |
A) 72
B) 612
C) 504
D) 318
Correct Answer : 504 Explanation : Least common multiples (LCM) of ( 6, 7, 8, 9 and 12) = 504 |
A, B and C starts running in the same direction from the same point and the same time in a circular stadium . A completes one round in 252 seconds, B in 308 seconds, and C in 198 seconds. When will they meet again at the starting point? |
A) 28 minutes 18 seconds
B) 42 minutes 36 seconds
C) 45 minutes
D) 46 minutes 12 seconds
Correct Answer : 46 minutes 12 seconds Explanation : Least common multiples (LCM) of (252 ,308 and 198) = 2772 sec |
The LCM of two numbers is 520 and HCF is 4. If a number is 52,what will be the second number? |
A) 40
B) 42
C) 50
D) 52
Correct Answer : 40 Explanation : 1st number ×2nd number = LCM × HCF 52 * 2nd number = 520 * 4
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The HCF and LCM of two natural numbers are 12 and 72 respectively. What is the difference between the two numbers, if one of the numbers is 24? |
A) 12 B) 18 C) 21 D) 24 Correct Answer : 12 Explanation : As we know that, First number * Second number = LCM * HCF Difference between the two numbers = 36 − 24 = 12 |
The two numbers are 63 and 77, HCF is 7, Find the LCM? |
A) 668 B) 693 C) 674 D) 680 Correct Answer : 693 Explanation : LCM = 63 * 77 / 7 = 693 |
A natural number, when divided by 3, 4, 5, 6, and 7 respectively, leaves corresponding remainder of 2, 3, 4, 5 and 6. What is the smallest of all such numbers fulfilling the above condition ? |
A) 2519
B) 419
C) 209
D) 839
Correct Answer : 419 Explanation : Here 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1, 6 – 5 = 1, 7 – 6 = 1 2|3, 4, 5, 6, 7 = (2*3*2*5*7) – 1 |
HCF and LCM of two numbers are 82 and 574 respectively. if one of the numbers is 287, find the second number? |
A) 82
B) 164
C) 246
D) 41
Correct Answer : 164 Explanation : H.C.F. × L.C.M. = First number × Second number 82 * 574 = 287 * Second number |
Find the smallest square number which is exactly divisible by 3, 5, 15, 18, 20 and 24? |
A) 400
B) 900
C) 1600
D) 3600
Correct Answer : 3600 Explanation : Factorize the numbers as 3 = 3 LCM = 2*2*2*3*5 = 120 Now for it to be a perfect square, it should have even powers. it’s need to 2*3*5 to make perfect square So the least perfect square divisible by all these given terms is 3600 |
The least number of five digits which is exactly divisible by 12,15 and 18 is? |
A) 10010
B) 10015
C) 10020
D) 10080
Correct Answer : 10080 Explanation : Least number of five digits is 10000
|
The least number which is perfect square and is divisible by each of the numbers 16, 20 and 24 is? |
A) 216
B) 1600
C) 2400
D) 3600
Correct Answer : 3600 Explanation : The least number divisible by 16,20,24 = L.C.M of 16,20,24=240 |
The largest four digit number which when divided by 4, 7 or 13 leaves a remainder of 3 in each case is? |
A) 8739 B) 9831
C) 9834
D) 9893
Correct Answer : 9831 Explanation : Greatest number of four digits is 9999 |
Find the HCF and LCM of the polynomial x2-5x+6 and x2-7x+10? |
A) (x-2), (x-2)(x-3)(x-5) B) (x-2), (x-2)(x-3)
C) (x-3), (x-2)(x-3)(x-5)
D) none
Correct Answer : (x-2), (x-2)(x-3)(x-5) Explanation : The given polynomials are From the above factors of the polynomial |