150 + Interview Questions in HCF AND LCM in Mathematics Page 3 InterviewSolution

101.	The sum of a pair of positive integer is 336 and their H.C.F. is 21. The number of such possible pairs is1). 22). 33). 44). 5
Answer» 3 : - OPTION 3

Discussion

102.	Three numbers are in the ratio 1:2:3 and their HCF is 12. The numbers are1). 12,24,362). 5,10,153). 4,8,124). 10,20,30
Answer» OPTION 1 : 12,24,36 is CORRECT

Discussion

103.	The HCF of two numbers is 15 and their LCM is 300. If one of the number is 60, the other is :1). 502). 753). 654). 100
Answer» OPTION 2 is the RIGHT ANSWER

Discussion

104.	Let N be the greatest number that will divide 1305. 4665 and 6905 leaving the same remain - der In each case. Then, sum of the digits in N is :1). 42). 53). 64). 8
Answer» OPTION 1 is the ANSWER

Discussion

105.	The smallest five digit number which is divisible by 12,18 and 21 is :1). 102242). 302563). 100804). 50321
Answer» OPTION 3 : 30256 is CORRECT

Discussion

106.	The H.C.F. and L.C.M. of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1:4, then the larger of the two numbers is1). 122). 1083). 484). 84
Answer» This question was asked some where in previous year PAPERS of ssc, and CORRECT ANSWER was OPTION 4

Discussion

107.	The LCM of two numbers is 44 times of their HCF. The sum of the LCM and HCF is 1125. If one number is 25, then the other number is1). 11002). 9753). 9004). 800
Answer» is OPTION 1 is the CORRECT ANSWER am i RIGHT

Discussion

108.	Which is the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 1). 25202). 12603). 6304). 196
Answer» OPTION 3 is the CORRECT answer as per the answer KEY

Discussion

109.	The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is :1). 912). 9103). 10014). 1911
Answer» RIGHT ANSWER is 91

Discussion

110.	Two numbers are in the ratio 3:4. Their L.C.M. is 84. The greater number is1). 212). 243). 284). 84
Answer» I have READ it SOMEWHERE 24 is CORRECT

Discussion

111.	A number between 1000 and 2000 which when divided by 30,' 36 and 80 gives a remainder 11 in each case is1). 14512). 16413). 17124). 1523
Answer» OPTION 1 : 1451 is CORRECT

Discussion

112.	A, B. C start running at the same time and at the same point in the same direction in a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds. After what time will they meet again at the starting point 1). 26 minutes 18 seconds2). 42 minutes 36 seconds3). 45 minutes4). 46 minutes 12 seconds
Answer» is 46 minutes 12 SECONDS is the CORRECT answer am i RIGHT

Discussion

113.	Find the largest number of four digits such that on dividing by 15,18,21 and 24 the remainders are 11. 14. 17 and 20 respectively ,1). 65572). 75563). 56754). 7664
Answer» This QUESTION was ASKED some where in previous YEAR papers of ssc, and CORRECT ANSWER was 7556

Discussion

114.	What is the greatest number that will divide 307 and 330 leaving remainders 3 and 7 respectively 1). 192). 163). 174). 23
Answer» is OPTION 1 is the CORRECT ANSWER am i RIGHT

Discussion

115.	The LCM of two numbers is 12 times their HCF. The sum of the HCF and the LCM is 403. If one of the number is 93, then the other number is1). 1242). 1283). 1344). 138
Answer» OPTION 1 is the ANSWER

Discussion

116.	The ratio of two numbers is 4:5 and their H.C.F. is 8. Then their L.C.M. is1). 1302). 1403). 1504). 160
Answer» I am not SURE, MAY be 160 is CORRECT

Discussion

117.	The LCM of two numbers is 48. The numbers are in the ratio 2:3. The sum of the numbers is1). 282). 323). 404). 64
Answer» OPTION 3 is the RIGHT ANSWER

Discussion

118.	The ratio of the sum to the LCM of two natural numbers is 7:12. If their HCF la 4, then the smaller number is :1). 202). 163). 124). 8
Answer» Its TOUGH but OPTION 3 SEEMS CORRECT

Discussion

119.	Two numbers are in the ratio 3:4. If their HCF is 4, then their LCM is1). 482). 423). 364). 24
Answer» I THINK OPTION 1 is the RIGHT ANSWER

Discussion

120.	The sum of two numbers is 36 and their H.C.F and L.C.M. are 3 and 105 respectively. The sum of the reciprocals of two numbers is1). $\frac{2}{35}$2). $\frac{3}{25}$3). $\frac{4}{35}$4). $\frac{2}{25}$
Answer» $\FRAC{3}{25}$

Discussion

121.	If the HCF and LCM of two consecutive (positive) even numbers be 2 and 84 respectively, then the sum of the numbers is1). 302). 263). 144). 34
Answer» Its very SIMPLE QUESTION 26 is the CORRECT ANSWER.

Discussion

122.	Two numbers are in the ratio 3:4. If their LCM is 240, the smaller of the two number is1). 1002). 803). 604). 50
Answer» i THINK OPTION 3 is CORRECT

Discussion

123.	The H.C.F. of two numbers, each having three digits, is 17 and their L.C. M. is 714. The sum of the numbers will be :1). 2892). 3913). 2214). 731
Answer» 221

Discussion

124.	The sum of two numbers is 216 and their HCF is 27. How many pairs of such numbers are there1). 12). 23). 34). 0
Answer» OPTION 2 : - 2

Discussion

125.	The number of pair of positive integers whose sum is 99 and HCF is 9 is1). 22). 33). 44). 5
Answer» I am not SURE, MAY be 5 is CORRECT

Discussion

126.	Let xbe the least number, which when divided by 5,6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves no remainder. The sum of digits of x is1). 212). 223). 184). 24
Answer» OPTION 3 is the RIGHT ANSWER

Discussion

127.	If P = $2^{3}.3^{10}.5$ :Q = $2^{5}.3.7$ then HCF of P and Q is :1). 2.3.5.72). $3.2^{3}$3). $2^{3}.3^{7}.5$4). $2^{5}.3^{10}.5.7$
Answer» HELLO, $3.2^{3}$ is CORRECT

Discussion

128.	The product of two numbers is 216. If the HCF is 6, then their LCM is1). 722). 603). 484). 36
Answer» 36 is the ANSWER

Discussion

129.	The least number, which when divided by 12. 15. 20 or 54 leaves a remainder of 4 in each case, is :1). 4502). 4543). 5404). 544
Answer» it from PREVIOUS year SSC PAPERS, option 4 is the right ANSWER

Discussion

130.	Two numbers are in the ratio 3:4.The product of their H.C.F. and L.C.M. is 2028. The sum of the numbers is1). 682). 723). 864). 91
Answer» 91 is the correct ANSWER as PER the SSC answer KEY

Discussion

131.	L.C.M. of two numbers is 120 and their H.C.F. is 10. Which of the following can be the sum of those two numbers1). 1402). 803). 604). 70
Answer» ANSWER for this QUESTION is OPTION 4

Discussion

132.	Three sets of English , Mathematics and Science books containing 336, 240, 96 books respectively have to be stacked In such a way that all the books are stored subject-wise and the height of each stack Is the same. Total number of stacks will be1). 142). 213). 224). 48
Answer» Its very SIMPLE QUESTION 14 is the CORRECT ANSWER.

Discussion

133.	The greatest 4-digit number exactly divisible by 10, 15, 20 is1). 99902). 99603). 99804). 9995
Answer» RIGHT ANSWER for this QUESTION is OPTION 2

Discussion

134.	The product of the LCM and the HCF of two numbers is 24. If the difference of the numbers is 2, then the greater of the number is1). 32). 43). 64). 8
Answer» OPTION 3 : SEEMS CORRECT

Discussion

135.	4 bells ring at intervals of 30 minutes. 1 hour , $1\frac{1}{2}$ hour and 1 hour 45 minutes respectively. All the bells ring simultaneously at 12 noon. They will again ring simultaneously at :1). 12 mid night2). 3 a .m.3). 6 a m.4). 9 a m.
Answer» OPTION 4 : SEEMS CORRECT

Discussion

136.	Four bells ring at intervals of 4, 6, 8 and 14 seconds. They start ringing simultaneously at 12.00 O’clock. At what time will they again ring simultaneously 1). 12 hrs. 2 min. 48 sec.2). 12 hrs. 3 min3). 12 hrs. 3 min. 20 sec.4). 12 hrs. 3 min . 44 sec.
Answer» it from previous YEAR SSC papers, OPTION 1 is the right answer

Discussion

137.	Three numbers are in the ratio 2:3:4 and their H.C.F. is 12. The L.C.M. of the numbers is1). 1442). 1923). 964). 72
Answer» 144 : - OPTION 1

Discussion

138.	The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100. then their difference is :1). 102). 463). 704). 90
Answer» it from PREVIOUS year SSC papers, 10 is the right ANSWER

Discussion

139.	Findd the least multiple of 23 which when divided by 18,21and 24 leave the remainder 7 10 and 13 respectively1). 30132). 30243). 30024). 3036
Answer» CORRECT ANSWER is: OPTION 1

Discussion

140.	If x:y be the ratio of two whole numbers and z be their HCF, then the LCM of those two numbers is1). yz2). $\frac{xz}{y}$3). $\frac{xy}{z}$4). xyz
Answer» XYZ : - OPTION 4

Discussion

141.	LCM of two numbers is 2079 and their HCF is 27. If one of the number is 189, the other number is1). 2972). 5843). 1894). 216
Answer» 297 is the BEST SUITED

Discussion

142.	The number between 4000 and 5000 that is divisible by each of 12,18,21 and 32 is1). 40232). 40323). 43024). 4203
Answer» RIGHT ANSWER for this QUESTION is 4032

Discussion

143.	The ratio of two numbers is 4:5 and their L.C.M . is 120. The numbers are1). 30,402). 40,323). 24,304). 36,20
Answer» Its very SIMPLE QUESTION 40,32 is the CORRECT ANSWER.

Discussion

144.	The number between 3000 and 4000 which is exactly divisible by 30, 36 and 80 is1). 36252). 32503). 35004). 3600
Answer» it from previous YEAR SSC PAPERS, 3600 is the RIGHT answer

Discussion

145.	The sum of the H.C.F. and L.C.M of two numbers is 680 and the LC.M. is 84 times the H.C.F. If one of the number is 56, the other is :1). 842). 123). 84). 96
Answer» OPTION 4 is the ANSWER

Discussion

146.	A fraction become $\frac{1}{6}$ when 4 is subtracted from its numerator and 1 is added to its denorninator. If 2 and 1 are respectively added to its numerator and the denominator , it becomes $\frac{1}{3}$ .Then , the LCM of the numerator and denominator of the said fraction , must be1). 142). 3503). 54). 70
Answer» OPTION 4 is the RIGHT ANSWER

Discussion

147.	Two numbers, both greater than 29, have HCF 29 and LCM 4147. The sum of the numbers is :1). 9662). 6963). 6694). 666
Answer» I THINK OPTION 2 is the RIGHT ANSWER

Discussion

148.	The least number, which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is1). 16002). 36003). 64004). 14400
Answer» 3600 is the CORRECT ANSWER as PER the ssc answer KEY

Discussion

149.	The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is1). 122). 243). 304). 120
Answer» OPTION option 4 is the CORRECT ANSWER

Discussion

150.	Let x be the smallest number, which when added to 2000 makes the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is1). 72). 53). 64). 4
Answer» OPTION 1 is the RIGHT ANSWER

Discussion

Explore topic-wise InterviewSolutions in .

The sum of a pair of positive integer is 336 and their H.C.F. is 21. The number of such possible pairs is1). 22). 33). 44). 5

Three numbers are in the ratio 1:2:3 and their HCF is 12. The numbers are1). 12,24,362). 5,10,153). 4,8,124). 10,20,30

The HCF of two numbers is 15 and their LCM is 300. If one of the number is 60, the other is :1). 502). 753). 654). 100

Let N be the greatest number that will divide 1305. 4665 and 6905 leaving the same remain - der In each case. Then, sum of the digits in N is :1). 42). 53). 64). 8

The smallest five digit number which is divisible by 12,18 and 21 is :1). 102242). 302563). 100804). 50321

The H.C.F. and L.C.M. of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1:4, then the larger of the two numbers is1). 122). 1083). 484). 84

The LCM of two numbers is 44 times of their HCF. The sum of the LCM and HCF is 1125. If one number is 25, then the other number is1). 11002). 9753). 9004). 800

Which is the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 1). 25202). 12603). 6304). 196

The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is :1). 912). 9103). 10014). 1911

Two numbers are in the ratio 3:4. Their L.C.M. is 84. The greater number is1). 212). 243). 284). 84

A number between 1000 and 2000 which when divided by 30,' 36 and 80 gives a remainder 11 in each case is1). 14512). 16413). 17124). 1523

Find the largest number of four digits such that on dividing by 15,18,21 and 24 the remainders are 11. 14. 17 and 20 respectively ,1). 65572). 75563). 56754). 7664

What is the greatest number that will divide 307 and 330 leaving remainders 3 and 7 respectively 1). 192). 163). 174). 23

The LCM of two numbers is 12 times their HCF. The sum of the HCF and the LCM is 403. If one of the number is 93, then the other number is1). 1242). 1283). 1344). 138

The ratio of two numbers is 4:5 and their H.C.F. is 8. Then their L.C.M. is1). 1302). 1403). 1504). 160

The LCM of two numbers is 48. The numbers are in the ratio 2:3. The sum of the numbers is1). 282). 323). 404). 64

The ratio of the sum to the LCM of two natural numbers is 7:12. If their HCF la 4, then the smaller number is :1). 202). 163). 124). 8

Two numbers are in the ratio 3:4. If their HCF is 4, then their LCM is1). 482). 423). 364). 24

The sum of two numbers is 36 and their H.C.F and L.C.M. are 3 and 105 respectively. The sum of the reciprocals of two numbers is1). $\frac{2}{35}$2). $\frac{3}{25}$3). $\frac{4}{35}$4). $\frac{2}{25}$

If the HCF and LCM of two consecutive (positive) even numbers be 2 and 84 respectively, then the sum of the numbers is1). 302). 263). 144). 34

Two numbers are in the ratio 3:4. If their LCM is 240, the smaller of the two number is1). 1002). 803). 604). 50

The H.C.F. of two numbers, each having three digits, is 17 and their L.C. M. is 714. The sum of the numbers will be :1). 2892). 3913). 2214). 731

The sum of two numbers is 216 and their HCF is 27. How many pairs of such numbers are there1). 12). 23). 34). 0

The number of pair of positive integers whose sum is 99 and HCF is 9 is1). 22). 33). 44). 5

Let xbe the least number, which when divided by 5,6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves no remainder. The sum of digits of x is1). 212). 223). 184). 24

If P = $2^{3}.3^{10}.5$ :Q = $2^{5}.3.7$ then HCF of P and Q is :1). 2.3.5.72). $3.2^{3}$3). $2^{3}.3^{7}.5$4). $2^{5}.3^{10}.5.7$

The product of two numbers is 216. If the HCF is 6, then their LCM is1). 722). 603). 484). 36

The least number, which when divided by 12. 15. 20 or 54 leaves a remainder of 4 in each case, is :1). 4502). 4543). 5404). 544

Two numbers are in the ratio 3:4.The product of their H.C.F. and L.C.M. is 2028. The sum of the numbers is1). 682). 723). 864). 91

L.C.M. of two numbers is 120 and their H.C.F. is 10. Which of the following can be the sum of those two numbers1). 1402). 803). 604). 70

Three sets of English , Mathematics and Science books containing 336, 240, 96 books respectively have to be stacked In such a way that all the books are stored subject-wise and the height of each stack Is the same. Total number of stacks will be1). 142). 213). 224). 48

The greatest 4-digit number exactly divisible by 10, 15, 20 is1). 99902). 99603). 99804). 9995

The product of the LCM and the HCF of two numbers is 24. If the difference of the numbers is 2, then the greater of the number is1). 32). 43). 64). 8

4 bells ring at intervals of 30 minutes. 1 hour , $1\frac{1}{2}$ hour and 1 hour 45 minutes respectively. All the bells ring simultaneously at 12 noon. They will again ring simultaneously at :1). 12 mid night2). 3 a .m.3). 6 a m.4). 9 a m.

Four bells ring at intervals of 4, 6, 8 and 14 seconds. They start ringing simultaneously at 12.00 O’clock. At what time will they again ring simultaneously 1). 12 hrs. 2 min. 48 sec.2). 12 hrs. 3 min3). 12 hrs. 3 min. 20 sec.4). 12 hrs. 3 min . 44 sec.

Three numbers are in the ratio 2:3:4 and their H.C.F. is 12. The L.C.M. of the numbers is1). 1442). 1923). 964). 72

The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100. then their difference is :1). 102). 463). 704). 90

Findd the least multiple of 23 which when divided by 18,21and 24 leave the remainder 7 10 and 13 respectively1). 30132). 30243). 30024). 3036

If x:y be the ratio of two whole numbers and z be their HCF, then the LCM of those two numbers is1). yz2). $\frac{xz}{y}$3). $\frac{xy}{z}$4). xyz

LCM of two numbers is 2079 and their HCF is 27. If one of the number is 189, the other number is1). 2972). 5843). 1894). 216

The number between 4000 and 5000 that is divisible by each of 12,18,21 and 32 is1). 40232). 40323). 43024). 4203

The ratio of two numbers is 4:5 and their L.C.M . is 120. The numbers are1). 30,402). 40,323). 24,304). 36,20

The number between 3000 and 4000 which is exactly divisible by 30, 36 and 80 is1). 36252). 32503). 35004). 3600

The sum of the H.C.F. and L.C.M of two numbers is 680 and the LC.M. is 84 times the H.C.F. If one of the number is 56, the other is :1). 842). 123). 84). 96

Two numbers, both greater than 29, have HCF 29 and LCM 4147. The sum of the numbers is :1). 9662). 6963). 6694). 666

The least number, which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is1). 16002). 36003). 64004). 14400

The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is1). 122). 243). 304). 120

Let x be the smallest number, which when added to 2000 makes the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is1). 72). 53). 64). 4