6.
A sum of Rs. 750 is distributed among A, B, C and D in such a manner that A gets as much as B and C together, B gets Rs. 125 more than C and D gets as much as C. What is A’s share?
• A.
Rs. 100
• C.
Rs. 275
• B.
Rs. 225
• D.
Rs. 325
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Explanation :

Let D's share = Rs. x. Then, C's share = Rs. x.

B's share = Rs. (x + 125). A's share = Rs. (x + x + 125) = Rs. (2x + 125)

(2x + 125) + (x + 125) + x + x = 750

5x = 500

x = 100

Hence, A's share = 2x + 125 =  Rs. (2 x 100 + 125) = Rs. 325.

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7.
In a classroom, if 6 students per bench are assigned to accommodate all students, one more bench will be required. However, if 7 students are accommodated per bench, there would be a space left for 5 students. What is the number of students in the class?
• A.
30
• C.
72
• B.
42
• D.
None of these
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Explanation :

Let the number of benches in the class be x.

Then, 6 (x + 1) = 7x - 5

x = 11

Hence, number of students in the class = 6 (x + 1) = 6 x 12 = 72.

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8.
 The value of 0.008 x 0.01 x 0.0072 (0.12 x 0.0004) is :
• A.
0.012
• C.
1.02
• B.
0.12
• D.
1.2
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Explanation :

 Given exp. = 0.008 x 0.01 x 0.0072 4.8e-05

= 0.00008 x
 0.0072 4.8e-05
=
 8 48
x
 72 1000
= 0.012

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9.
One-third of the boys and one-half of the girls of a collage participated in a social work project. If the number of participating students in 300 out of which 100 are boys, what is the total number of students in the college?
• A.
500
• C.
700
• B.
600
• D.
800
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Explanation :

Number of boys who participate = 100

 1 3
of boys = 100 or total number of boys = 300

Number of girls who participate = 200

 1 2
of girls = 200 or total number of girls = 400

Hence, total number of students = (300 + 400) = 700

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10.
It costs Rs. x each to make the first thousand copies of a compact disc and Rs. y to make each subsequent copy. If z is greater than 1000, how much will it cost to make z copies of the compact disc?
• A.
zx - zy
• C.
1000 (x - y) + yz
• B.
1000x + yz
• D.
1000 (z - y) + xz