Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 102  107 of 224
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Question number: 102
» Mathematics » Arithmetic
Question
The sum of all twodigit numbers each of which leaves remainder 3 when divided by 5 is
Choices
Choice (4)  Response  

a.  999 

b.  1064 

c.  1120 

d.  952 

Question number: 103
» Mathematics » Quadratic Equations
Question
If the zeroes of the polynomial are reciprocal of each other, then the value of k is
Choices
Choice (4)  Response  

a.  1 

b.  1 

c.  2 

d.  2 

Question number: 104
» Mathematics » Trigonometry
Question
In right ∆ABC, BC = 7 cm, AC  AB = 1 cm and ∠ B = 90°. The value of is
Choices
Choice (4)  Response  

a.  1/7 

b.  32/24 

c.  25/31 

d.  31/25 

Question number: 105
» Mathematics » Mensuration
Question
From a rectangular cardboard, an open box is to be made by cutting out identical squares of area 25 cm ^{2} from each corner and turning up the sides. The volume of the box is
Choices
Choice (4)  Response  

a.  1875 cm ^{3} 

b.  3000 cm ^{3} 

c.  1250 cm ^{3} 

d.  21875 cm ^{3} 

Question number: 106
» Mathematics » Basic Geometry
Question
Four circular cardboard pieces, each of radius 7 cm are placed in such a way that each piece touches the two other pieces. The area of the space enclosed by the four pieces is
Choices
Choice (4)  Response  

a.  42 cm ^{2} 

b.  21 cm ^{2} 

c.  168 cm ^{2} 

d.  84cm ^{2} 

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° 
