26.
There are two examination rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
• A.
20
• C.
100
• B.
80
• D.
200
• Answer & Explanation
• Report
Explanation :

Let the number of students in rooms A and B be x and y respectively. Then,

 x – 10 = y + 10 x - y = 20 ...(i) and x + 20 = 2 (y - 20) x - 2y = -60 ... (ii)

Solving (i) and (ii), we get : x = 100, y = 80.

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27.
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
• A.
22
• C.
24
• B.
23
• D.
26
• Answer & Explanation
• Report
Explanation :

Let the number of hens be x and the number of cows be y. Then,

 x + y = 48 ...(i) and 2x + 4y = 140 x + 2y = 70 ...(ii)

Solving (i) and (ii), we get : x = 26, y = 22.

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28.
If a * b = 2a – 3b + ab, then 3 * 5 + 5 * 3 is equal to :
• A.
22
• C.
26
• B.
24
• D.
28
• Answer & Explanation
• Report
Explanation :

3 * 5 + 5 * 3 = (2 x 3 – 3 x 5 + 3 x 5) + (2 x 5 – 3 x 3 + 5 x 3)

 = (6 + 10 – 9 + 15) = 22

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29.
 2.375 x 5.22 0.87 - 1.425 x 0.02 = ?
• A.
0.142215
• C.
14.2215
• B.
1.42215
• D.
None of these
• Answer & Explanation
• Report
Explanation :

Given exp. = 2.375 x
 522 87
- 0.0285

 = 2.375 x 6 - 0.0285

 = 14.25 - 0.0285

 = 14.2215

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30.
A bonus of Rs. 1000 is to be divided among three people so that Rohit receives twice as much as Sachin, who receives one-fifth as much as Gagan. How much money should Gangan receive?
• A.
Rs. 100
• C.
Rs. 375
• B.
Rs. 250
• D.
Rs. 625
• Answer & Explanation
• Report
Explanation :

Let Gagan's share = Rs. x

Then, Sachin's share = Rs.
 x 5
and Rohit's share = Rs.
 2x 5

 2x 5
+
 x 5
+ x = 1000

8x = 5000

x = 625

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