CSS - PMS - CCE - PCS - Mathematics
Mensuration
Using π = 22/7, find the volume of a cylinder with radius 14 cm and height 12 cm.
A. 1056 cm³
B. 616 cm³
C. 7392 cm³
D. 7404 cm³
Correct Answer: C
Volume = πr²h = 22/7×14²×12 = 7392 cm³.
CSS - PMS - CCE - PCS - Mathematics
Mensuration
What is the volume of a cube with edge 11 cm?
A. 726 cm³
B. 121 cm³
C. 44 cm³
D. 1331 cm³
Correct Answer: D
Volume of cube = side³ = 11³ = 1331 cm³.
CSS - PMS - CCE - PCS - Mathematics
Mensuration
Find the volume of a cuboid of length 10 cm, width 25 cm and height 9 cm.
A. 2250 cm³
B. 259 cm³
C. 2259 cm³
D. 1130 cm³
Correct Answer: A
Volume = l×w×h = 10×25×9 = 2250 cm³.
CSS - PMS - CCE - PCS - Mathematics
Mensuration
Using π = 22/7, find the circumference of a circle of radius 14 cm.
A. 616 cm
B. 88 cm
C. 102 cm
D. 44 cm
Correct Answer: B
Circumference = 2πr = 2×22/7×14 = 88 cm.
CSS - PMS - CCE - PCS - Mathematics
Mensuration
Using π = 22/7, find the area of a circle of radius 7 cm.
A. 22 cm²
B. 44 cm²
C. 161 cm²
D. 154 cm²
Correct Answer: D
Area = πr² = 22/7×7² = 154 cm².
CSS - PMS - CCE - PCS - Mathematics
Mensuration
A triangle has base 14 cm and height 16 cm. Find its area.
A. 224 cm²
B. 128 cm²
C. 30 cm²
D. 112 cm²
Correct Answer: D
Area = 1/2 × base × height = 1/2×14×16 = 112 cm².
CSS - PMS - CCE - PCS - Mathematics
Mensuration
What is the perimeter of a square with side 6 cm?
A. 144 cm
B. 12 cm
C. 36 cm
D. 24 cm
Correct Answer: D
Perimeter = 4×side = 4×6 = 24 cm.
CSS - PMS - CCE - PCS - Mathematics
Mensuration
What is the area of a square whose side is 5 cm?
A. 20 cm²
B. 25 cm²
C. 30 cm²
D. 10 cm²
Correct Answer: B
Area of square = side² = 5² = 25 cm².
CSS - PMS - CCE - PCS - Mathematics
Mensuration
Find the perimeter of a rectangle measuring 4 cm by 7 cm.
A. 56 cm
B. 28 cm
C. 11 cm
D. 22 cm
Correct Answer: D
Perimeter = 2(length+width) = 2(4+7) = 22 cm.
CSS - PMS - CCE - PCS - Mathematics
Mensuration
Find the area of a rectangle of length 3 cm and width 4 cm.
A. 7 cm²
B. 15 cm²
C. 14 cm²
D. 12 cm²
Correct Answer: D
Area of rectangle = length × width = 3×4 = 12 cm².
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 49 cm and 53 cm?
A. 102 cm
B. 53 cm
C. 1 cm
D. 2597 cm
Correct Answer: C
The greatest equal length is the HCF of 49 and 53, which is 1 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 46 and 48?
A. 2208
B. 94
C. 2
D. 1104
Correct Answer: D
The least common multiple is 1104.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 43 and their LCM is 43. If one number is 43, what is the other number?
A. 46
B. 45
C. 43
D. 44
Correct Answer: C
Product of two numbers = HCF × LCM. Other number = 43×43/43 = 43.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 40 and 38.
A. 762
B. 760
C. 2
D. 1520
Correct Answer: B
LCM(40,38) = 760.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 37 and 33.
A. 2
B. 1221
C. 1
D. 3
Correct Answer: C
The greatest integer dividing both 37 and 33 is 1.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the greatest possible length of equal pieces that can exactly divide lengths 34 cm and 28 cm?
A. 2 cm
B. 476 cm
C. 62 cm
D. 34 cm
Correct Answer: A
The greatest equal length is the HCF of 34 and 28, which is 2 cm.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
What is the least positive number exactly divisible by both 31 and 23?
A. 714
B. 713
C. 54
D. 1
Correct Answer: B
The least common multiple is 713.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
The HCF of two numbers is 2 and their LCM is 252. If one number is 28, what is the other number?
A. 2
B. 18
C. 252
D. 28
Correct Answer: B
Product of two numbers = HCF × LCM. Other number = 2×252/28 = 18.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the LCM of 25 and 93.
A. 2325
B. 1
C. 2327
D. 2326
Correct Answer: A
LCM(25,93) = 2325.
CSS - PMS - CCE - PCS - Mathematics
HCF and LCM
Find the HCF of 22 and 88.
A. 21
B. 24
C. 88
D. 22
Correct Answer: D
The greatest integer dividing both 22 and 88 is 22.