CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 39 cm and 63 cm?
A. 63 cm
B. 819 cm
C. 102 cm
D. 3 cm
Correct Answer: D
The greatest equal length is the HCF of 39 and 63, which is 3 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 36 and 58?
A. 2
B. 1044
C. 94
D. 2088
Correct Answer: B
The least common multiple is 1044.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 1 and their LCM is 1749. If one number is 33, what is the other number?
A. 33
B. 53
C. 1749
D. 1
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 1×1749/33 = 53.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 30 and 48.
A. 6
B. 240
C. 246
D. 1440
Correct Answer: B
LCM(30,48) = 240.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 27 and 43.
A. 3
B. 1161
C. 1
D. 2
Correct Answer: C
The greatest integer dividing both 27 and 43 is 1.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 24 cm and 38 cm?
A. 62 cm
B. 456 cm
C. 38 cm
D. 2 cm
Correct Answer: D
The greatest equal length is the HCF of 24 and 38, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 21 and 33?
A. 231
B. 693
C. 3
D. 54
Correct Answer: A
The least common multiple is 231.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 252. If one number is 18, what is the other number?
A. 28
B. 18
C. 2
D. 252
Correct Answer: A
Product of two numbers = HCF × LCM. Other number = 2×252/18 = 28.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 15 and 23.
A. 1
B. 345
C. 347
D. 346
Correct Answer: B
LCM(15,23) = 345.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 12 and 18.
A. 6
B. 36
C. 8
D. 5
Correct Answer: A
The greatest integer dividing both 12 and 18 is 6.
CSS - PMS - CCE - PCS - Mathematics
Simplification
Simplify: (3 + 9) × 4.
A. 48
B. 39
C. 31
D. 16
Correct Answer: A
Brackets first: 3+9=12; then ×4 = 48.
CSS - PMS - CCE - PCS - Mathematics
Simplification
Simplify using order of operations: 2 + 7 × 14.
A. 114
B. 28
C. 100
D. 126
Correct Answer: C
Multiplication first: 7×14=98; then add 2: 100.
CSS - PMS - CCE - PCS - Mathematics
Simplification
Simplify: 544 ÷ 2.
A. 272
B. 1088
C. 542
D. 274
Correct Answer: A
544 ÷ 2 = 272.
CSS - PMS - CCE - PCS - Mathematics
Simplification
Simplify: (16 + 14) × 12.
A. 360
B. 236
C. 184
D. 42
Correct Answer: A
Brackets first: 16+14=30; then ×12 = 360.
CSS - PMS - CCE - PCS - Mathematics
Simplification
Simplify using order of operations: 15 + 12 × 9.
A. 243
B. 132
C. 189
D. 123
Correct Answer: D
Multiplication first: 12×9=108; then add 15: 123.
CSS - PMS - CCE - PCS - Mathematics
Simplification
Simplify: 440 ÷ 10.
A. 54
B. 430
C. 44
D. 4400
Correct Answer: C
440 ÷ 10 = 44.
CSS - PMS - CCE - PCS - Mathematics
Simplification
Simplify: (10 + 19) × 7.
A. 143
B. 203
C. 36
D. 197
Correct Answer: B
Brackets first: 10+19=29; then ×7 = 203.
CSS - PMS - CCE - PCS - Mathematics
Simplification
Simplify using order of operations: 9 + 17 × 4.
A. 104
B. 77
C. 157
D. 81
Correct Answer: B
Multiplication first: 17×4=68; then add 9: 77.
CSS - PMS - CCE - PCS - Mathematics
Simplification
Simplify: 225 ÷ 5.
A. 45
B. 1125
C. 220
D. 50
Correct Answer: A
225 ÷ 5 = 45.
CSS - PMS - CCE - PCS - Mathematics
Simplification
Simplify: (4 + 7) × 2.
A. 22
B. 18
C. 30
D. 13
Correct Answer: A
Brackets first: 4+7=11; then ×2 = 22.