3
Q:

In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?

A) 160 B) 175
C) 180 D) 195

Answer:   B) 175

Explanation:

Suppose the man works overtime for x hours.

Now, working hours in 4 weeks = (5 x 8 x 4) = 160.

{\color{Blue} \therefore } 160 x 2.40 + x x 3.20 = 432

=> 3.20x = 432 - 384 = 48

=> x = 15.

Hence, total hours of work = (160 + 15) = 175.

Q:

 is always greater than or equal to zero. What is the smallest value satisfied by 'r' ?

A) -13 B) 11
C) 13 D) -11
 
Answer & Explanation Answer: C) 13

Explanation:

Given,

5sinx + 12cosx ≥ -r

13(sinx+cosx) ≥ -r

= cosA => sinA =

13(sinx cosA + sinA cosx) ≥ -r

13(sin(x + A)) ≥ -r

we know that , -1 ≤ sin (angle) ≤ 1

13sin (x + A) ≥ -13   = 13

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4 63
Q:

If a+b=5 and 3a+2b=20,then (3a+b)will be :

 

A) 20 B) 15
C) 25 D) 30
 
Answer & Explanation Answer: C) 25

Explanation:

a+b=5   ...(1)    and    3a+2b=20 ...(2)

Multiplying (1) by 2 and subtracting from (2), we get : a=10.

Putting a=10 in (1), we get : b=-5

   (3a+b) = 3 x 10+(-5)=30-5=25.

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4 76
Q:

Simplify the following equation.

A) 43/19 B) 1
C) 38/19 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

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20 1649
Q:

Simplify  

A) 6 B) 8
C) 10 D) 12
 
Answer & Explanation Answer: C) 10

Explanation:

Apply 

Hence the answer is 1.5+4.7+3.8=10

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13 1054
Q:

A) 4 B) 8
C) 16 D) 32
 
Answer & Explanation Answer: C) 16

Explanation:

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5 1177