6
Q:

A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

A) 4 B) 6
C) 8 D) None of the above

Answer:   B) 6



Explanation:

The measure of the third side of a triangle must lie between the sum and the difference of the other two sides. Using this fact along with the answer choices, we can eliminate the wrong answers. 

 

    • Option A  cannot be correct because 4 would not be the longest side.(sides 4, 5, and 4)   

 

    • Option B could be correct because the other two sides would be 3 and 4.  

 

    • Option C cannot be correct because this third side would be greater than the sum of the other two sides.

 

Q:

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Its area is:

 

A) 48 cm2 B) 28 cm2
C) 69 cm2 D) 96 cm2
 
Answer & Explanation Answer: D) 96 cm2

Explanation:
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6 12936
Q:

In a triangle, if the measures of two sides are 5 cm and 8 cm, then the third side can be:

 

 

 

A) 3 cm B) 14 cm
C) 2 cm D) 4 cm
 
Answer & Explanation Answer: D) 4 cm

Explanation:
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2 6886
Q:

In the given figure, if AB=8Cm, AC=10Cm, ABD=90° and AD=17Cm, then the measure of CD is

 

 

A) 8 cm B) 9 cm
C) 11 cm D) 10 cm
 
Answer & Explanation Answer: B) 9 cm

Explanation:
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2 1635
Q:

In the given figure, APO=35° if then which of the following options is correct?

 

 

A) ∠APB = 60° B)  ∠APB = 80°
C)  ∠APB = 35° D) ∠APB = 55°
 
Answer & Explanation Answer: C)  ∠APB = 35°

Explanation:
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1 13895
Q:

The area of a semicircle is 77 sq.cm. Calculate its perimeter (in cm)

 

A) 72 B) 49
C) 98 D) 36
 
Answer & Explanation Answer: D) 36

Explanation:
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0 7827
Q:

The length of the diagonal and the breadth of a rectangle is 25 cm and 7 cm respectively. Calculate its area (in sq.cm)

 

A) 336 B) 168
C) 240 D) 480
 
Answer & Explanation Answer: B) 168

Explanation:
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0 787
Q:

The area of an equilateral triangle is 18√3 sq.units. Find the value of side (in units) of the triangle.

 

A) √2 B) 2√2
C) 3√2 D) 6√2
 
Answer & Explanation Answer: D) 6√2

Explanation:
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1 777
Q:

An arc length of 16π units subtends an angle of 240 degrees. Find the radius 9in units) of the circle.

 

 

A) 6 B) 12
C) 24 D) 36
 
Answer & Explanation Answer: B) 12

Explanation:
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2 743