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
• Report
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
• Report
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
• Report
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
• Report
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
• Report