Question
In a circle of radius 7 cm, the area of a sector is 77
cm². Find the angle of the sector and the length of its arc. (Take π = 22/7)Solution
Area of sector = (θ/360) × πr² 77 = (θ/360) × (22/7) × 7² = (θ/360) × (22/7) × 49 = (θ/360) × 154 Thus θ/360 = 77/154 = 1/2 ⇒ θ = 180° Arc length = (θ/360) × 2πr = (180/360) × 2 × (22/7) × 7 = (1/2) × 2 × 22 = 22 cm.
Statements:
All Letters are Alphabets
Only few Letters are Numbers
All Digits are Alphabets
Conclusion:
I. Some L...
In the question below there are two conclusions followed by three statements in the options. You have to take the three given statements to be true eve...
Statements:
Some children are parents.
All parents are infants.
Some infants are adolescent.
Conclusions:
I. At least...
Statements:
Only a few Objectives are Solutions.
Only Subjective are Information.
A few Subjective are Solutions.
Conclusion...
Statements:
All ribbons are mat.
Some mats are ropes.
No rope is a thread.
All thread is a needle.
...
Three statements are given followed by two conclusions numbered I & II. Assuming the statements to be true, even if they seem to be at variance with co...
Statement:
No blue is black.
Only a few blacks are Whites.
All Whites are grey.
Conclusion:
I. No blue is Whites.
II. Some grey are not blues
Some tablets are medicines. Some syrups are not capsules. Some tablets are not syrups.
Statements: Some sweaters are coats.
      All coats are shawls. Â
Conclusions: I. Some sweaters are shawls.
   ...
Statements:
All Swabs are Handles.
Only a few Handles are Sticks.
All Sticks are Containers.
Conclusions:
I. Some Swabs are Sticks
II. No Swab is a Stick
