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21.
Water boils at 212°F or 100°C and melts at 32°F or 0°C. If the temperature of a particular day is 35°C, it is equivalent to:
  • A.
    85°F
  • C.
    95°F
  • B.
    90°F
  • D.
    99°F
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Let F and C denote the temperatures in Fahrenheit and Celsius respectively.
 
Then,
F - 32
212 - 32
=
C - 0
100 - 0
   
 
 
 
F - 32
180
=
C
100
 
 
If C = 35, then F =  
35
100
 x 180    + 32 = 63 + 32 = 95.    
 
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22.
One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund?
  • A.
    Rs. 30,000
  • C.
    Rs. 60,000
  • B.
    Rs. 50,000
  • D.
    Rs. 90,000
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Let savings in N.S.C and P.P.F. be Rs. x and Rs. (150000 – x) respectively. Then,
 
1
3
 x =
1
2
 (150000 - x)  
 
 
 
x
3
+
x
2
 = 75000  
 
 
 
5x
6
 = 75000  
 
 
  x =  
75000 x 6
5
   = 90000    
 
 
  Savings in Public Provident Fund = Rs. (150000 – 90000) = Rs. 60000.    
 
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23.
One test tube contains some acid and another test tube contains an equal quantity of water. To prepare a solution, 20 grams of the acid is poured into the second test tube. Then, two-thirds of the so-formed solution is poured from the second tube into the first. If the fluid in first test tube is four times that in the second, what quantity of water was taken initially?
  • A.
    40 grams
  • C.
    80 grams
  • B.
    60 grams
  • D.
    100 grams
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Suppose each tube contains x grams initially. Then,
 
4  
1
3
 (x + 20)    = x +
2
3
 (x + 20)    
 
 
 
2
3
 (x + 20) = x    
 
 
 
x
3
=
40
3
   
 
 
  x = 40    
 
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24.
 
147 x 147 + 147 x 143 + 143 x 143
147 x 147 x 147 - 143 x 143 x 143
    = ?  
  • A.
    		 1  
    4  
  • C.
    		 1  
    290  
  • B.
    290
  • D.
    4
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Given exp. =  
a2 + ab + b2
a3 - b3
  =  
1
a - b
  , where a = 147, b = 143    
 
=   
1
147 - 143
  =
1
4
 
 
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25.
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?
  • A.
    Rs. 1200
  • C.
    Rs. 4800
  • E.
    None of these
  • B.
    Rs. 2400
  • D.
    Cannot be determined
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Let the price of a saree and a shirt be Rs. x and Rs. y respectively
 
Then, 2x + 4y = 1600 …(i) and  x + 6y = 1600 …(ii)    
 
Solving (i) and (ii), we get : x = 400, y = 200.
 
Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.
 
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