InterviewSolution
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InterviewSolution
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.
| 1. |
The greatest common factor of 9 and 15 is ________ |
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Answer» Correct Answer - 3 `3xx3=9,3xx5=15` 3 is the greatest factor of 9 and 15. |
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| 2. |
List out all the common factor of 64 and 96. |
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Answer» Correct Answer - 1,2,4,8,16,32 `64=1xx64=2xx31=4xx16=8xx8` `F_(64)={1,2,4,8,16,32,64}` ` 96=1xx96=2xx48=3xx32=4xx24=6xx16=8xx12` `F_(96)={1,2,3,4,6,8,12,16,24,32,48,96}` `:.` The common factors are `={1,2,4,8,16,32}` |
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| 3. |
There are 72 green colour, 144 red colour and 234 organe colour chairs in an auditorium. A boy want to put the chairs in rows such that each row is of the same coloured chairs and the number of chairs is equal in each row. Find the minimum number of rows of chairs in the auditorium.A. 30B. 25C. 15D. 45 |
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Answer» Correct Answer - D The HCF of 72,144,234 is 18. The total number of rows. `=((72+144+234))/(18)=(450)/(18)=25` Hence, the correct option is (b). |
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| 4. |
Express the following as the product of prime numbers. (a) 36 (b)75 |
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Answer» Correct Answer - (a) `2^(2)xx3^(2)" "(b)3xx5^(2)` (a) `36=2^(2)xx3^(2)` (b) `75=3xx5^(2)` |
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| 5. |
The greatest pair of twin primes of 2- digit number is ______ |
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Answer» Correct Answer - (71,73) (71,73) is the greatest pair of twin primes of the two-digit primes. |
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| 6. |
List out all the 2-digit twin primes. |
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Answer» (11,13),(17,19),(29,31),(41,43),(59,61),(71,73) There are 6 twin primes which are of two-digits. |
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| 7. |
Which of the following is not divisible by 9 ?A. 345672B. 278901C. 46938D. 96435 |
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Answer» Correct Answer - C Going by option: 46938 4+6+9+2+8=30 is not divisible by 9. Hence, the correct option is ( c). |
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| 8. |
The smallest 4- digit number divisible by 11 is _________ |
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Answer» Correct Answer - 1001 When 1000 is divided by 11, the remainder is 10, `:.` 1001 is the smallest 4-digit number divisible by 11. |
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| 9. |
Which of the following is divisible by 8 ?A. `7248882`B. `836486`C. `92304`D. `726436` |
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Answer» Correct Answer - C 92304, the number formed by the last 3 digits (304) is divisible by 8. Hence, the correct option is ( c). |
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| 10. |
List out all the 2-digit prime numbers which are greater than 50. |
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Answer» Correct Answer - 53,59,61,67,71,73,79,83,89 and 97 The 2-digit prime numbers greater than 50 are 53, 59,61,67,71,73,79,83,89 and 97 |
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| 11. |
The number of factors of 24 is _________ |
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Answer» Correct Answer - 8 `24=1xx24=2xx12=3xx8=4xx6` There are 8 factors. |
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| 12. |
List out all the common factors of the following pairs of numbers. (a) 120 and 160 (b)52 and 32 |
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Answer» Correct Answer - (a) 1,2,4,5,8,10,20,40 (b) 1,2,4 (a) `{:(120=1xx120,|,160=1xx160),(=2xx60,|,=2xx80),(=3xx40,|,=4xx40),(=4xx30,|,=5xx32),(=5xx24,|,=8xx20),(=6xx20,|,=8xx20),(=8xx15,|,),(=10xx12,|,):}` The common factors of 120 and 160 are {1,2,4,5,8,10,20,40} (b) `{:(52=1xx52,|,32=1xx32),(=2xx26,|,=2xx16),(=4xx13,|,=4xx8):}` The common factors of 52, 32 are {1,2,4}. |
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| 13. |
Find the first five multiples of 5. |
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Answer» `5xx1=5,5xx2=10,5xx3=15,5xx4=20,5xx5=25` `:.` 5,10,15,20 and 25 are the first five multiples of 5. |
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| 14. |
Find the factors of 12 and 14. |
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Answer» `12=1xx12=2xx6=3xx4` `:.` The factors of 12 are 1,2,3,4,6 and 12 `14=1xx14=2xx7` `:.` The factors of 14 are 1,2,7 and 14 |
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| 15. |
LCM of two number is 378 and their HCF is 9. If one of the number is 63, then find the other number. |
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Answer» We know that `LCM xx HCF`= The product of two numbers. Let the products of two number be `N_(2)`. `378xx9=63xxN_(2)` `378=7N_(2)` `N_(2)=(378)/(7)=54` `:.` The other number is 54. |
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| 16. |
LCM (a,b) `xx` HCF(a,b)= _________ |
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Answer» Correct Answer - `axxb` `a xx b` |
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| 17. |
Find the HCF of 126 and 144 by prime factorization method. |
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Answer» Correct Answer - 18 HCF of 126 and 144 : `{:(126=2xx63,144=2xx72),(=2xx3xx21,=2xx2xx36),(=2xx3xx3xx7,=2xx2xx2xx18),(=2^(1)xx3^(2)xx7,=2^(4)xx3^(2)):}` `:.` HCF (126,144)`=2xx3^(2)` `=18` |
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| 18. |
The LCM of two numbers is 112 and their HCF is 2. If one of the number is 14, then find the other number. |
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Answer» Correct Answer - 16 LCM=122, HCF=2, A=14 `LCM xx HCF`= The product of two numbers `112xx2=14(B)` `8xx2=B` `B=16` `:.` The other number is 16. |
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| 19. |
The product of two number is 1680 and the LCM of two number is 420. Find their HCF. |
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Answer» Correct Answer - 4 Let the two numbers be a and b. We know that : `LCMxxHCF=axxb` `420xxHCF=1680` `HCF=(1680)/(420)=4` |
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| 20. |
Which of the following is not a sphenic number ?A. 30B. 42C. 60D. 70 |
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Answer» Correct Answer - C `30=2xx3xx5,42=2xx3xx7,60=2xx3xx5xx2` `70=2xx5xx7` Hence, the correct option is ( c) |
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| 21. |
The HCF of which of the following pairs of composite number is different from that of the others ? (Odd man out )A. 12,18B. 24,30C. 18,30D. 18,45 |
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Answer» Correct Answer - D HCF (12,18)=6 HCF (24,30)=6 HCF (18,30)=6 HCF (18,45)=9 Hence, the correct option is (d). |
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| 22. |
Which of the following is a composite number ?A. 37B. 47C. 57D. 67 |
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Answer» Correct Answer - C 57 is divisible by 3. Hence, the correct option is ( c). |
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| 23. |
There are three empty drums which can hold 384 litres, 576 litres and and 288 litres of water. Each of them is to be filled by usinga measuring jar, a whole number of times. What is the largest possible capacity of the measuring jar with which we can fill all the three drums ?A. 96 litreB. 24 litresC. 72 litresD. 36 litres |
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Answer» Correct Answer - A The HCF of 384,576 and 288 is 96. Hence, the greatest possible sizes of the measuring vessel is 96 litres. Hence, the correct option is (A). |
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