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Q:

From an external point two tangents to a circle are drawn. The chord passing through the points of contact subtends an angle72° at the centre. The angle between the tangents is?

A) 36° B) 72°
C) 108° D) 144°

Answer:   C) 108°



Explanation:
Subject: Quantitative Aptitude - Arithmetic Ability
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Three of the following four word-pairs are alike in a certain way and one is different. Pick the odd one out.

 

A) Chisel : Sculptor B) Anvil : Blacksmith
C) Paper : Book D) Scalpel : Surgeon
 
Answer & Explanation Answer: C) Paper : Book

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A certain sum is divided among A, B, C and D such that the ratio of the shares is A : B : C : D = 4 : 12 : 30 : 45. If the difference between the shares of A and D is ₹5,535, then the total sum (in ₹) is:

 

 

A) 12785 B) 13550
C) 12285 D) 11000
 
Answer & Explanation Answer: C) 12285

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Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the equation.
512*32*9*100*6*25*2

 

A) ÷, ×, +, =, −, × B) ÷, ×, +, −, =, ×
C) ÷, ×, −, +, =, × D) +, ×, ÷, =, −, ×
 
Answer & Explanation Answer: C) ÷, ×, −, +, =, ×

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Select the option in which the numbers are related in the same way as are the numbers of the following set.

 

173 : 125 : 85

 

A) 365 : 293 : 229 B) 285 : 221 : 135
C) 259 : 199 : 147 D) 293 : 228 : 171
 
Answer & Explanation Answer: A) 365 : 293 : 229

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If sqrt x + frac{1}{sqrt x} = 2sqrt2, then x^2 + frac{1}{x^2} is equal to:

 

A) 36 B) 34
C) 32 D) 64
 
Answer & Explanation Answer: B) 34

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If a + b + c = 8 and ab + bc + ca = 20, then a^3 + b^3 + c^3 - 3abc is equal to:

 

A) 30 B) 24
C) 32 D) 36
 
Answer & Explanation Answer: C) 32

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The usual average speed of a car on a particular stretch of road is 75 km/hr. On a particular day, the average speed was 12% less than the usual, as a result of which the time taken was I S minutes more.


How long is the stretch of road, in kilometres?

 

A) 155 B) 176
C) 165 D) 150
 
Answer & Explanation Answer: C) 165

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In an examination in which the full marks were 500, A scored 25% more marks than B, B scored 60% more marks than C and C scored 20% less marks than D. IfA scored 80% marks, then the percentage of marks obtained by is:

 

A) 65% B) 60%
C) 50% D) 54%
 
Answer & Explanation Answer: C) 50%

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