Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 107  112 of 224
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Question number: 107
» Mathematics » Basic Geometry
Question
In the figure, PQ is a chord of a circle with center O and PT is the tangent at P such that ∠ QPT = 70°. Then, the measure of ∠ PRQ is equal to
Choices
Choice (4)  Response  

a.  150° 

b.  120° 

c.  110° 

d.  135° 

Question number: 108
» Mathematics » Probability
Question
A bag contains 20 balls out of which x are black. If 10 more black balls are put in the box, the probability of drawing a black ball is double of what it was before. The value of x is
Choices
Choice (4)  Response  

a.  40 

b.  10 

c.  5 

d.  0 

Question number: 109
» Mathematics » Basic Geometry
Question
AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the center and the distance between them is 17 cm, the radius of the circle is
Choices
Choice (4)  Response  

a.  15 cm 

b.  12 cm 

c.  10 cm 

d.  14 cm 

Question number: 110
» Mathematics » Percentage
Question
A shopkeeper mixes 80 kg sugar worth of Rs. 6.75 per kg with 120 kg of sugar worth of Rs. 8 per kg. He earns a profit of 20 % by selling the mixture. He sells it at the rate
Choices
Choice (4)  Response  

a.  Rs. 7.50 per kg 

b.  Rs. 8.20 per kg 

c.  Rs. 9 per kg 

d.  Rs. 8.85 per kg 

Question number: 111
» Mathematics » Algebraic Expressions
Question
If then the value of is
Choices
Choice (4)  Response  

a.  322 

b.  114 

c.  364 

d.  927 

Question number: 112
» Mathematics » Percentage
Question
A shopkeeper prefers to sell his goods at the cost price but uses a weight of 800 g instead of 1 kg. He earns profit of
Choices
Choice (4)  Response  

a.  20% 

b.  25% 

c.  8% 

d.  2% 
