Test-Series - numerical

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Test Number 17/39

Q: Simplify the fraction? 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17)
A. -4 (1/17)
B. 5 (2/17)
C. -2 (1/17)
D. 3 (3/17)
Solution: Given fraction is 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17)  It can be written as  (5 - 3 - 2 - 1) + (2/7 - 1/14 - 1/14 - 1/7) = ? +  3 (1/17)  -1 + 0 - 3 (1/17) = ? => ? = -4 (1/17)
The correct answer is: A) -4 (1/17)
Q: Ian has 14 boxes of paper and divides them evenly between 4 coworkers. How many whole boxes did each coworker get?
A. 2
B. 2.5
C. 3
D. 3.5
Solution: Given number of boxes = 14 Number of workers = 4 Now, number of whole boxes per worker = 14/4 = 3.5  Hence, number of whole boxes per each coworker = 3
The correct answer is: C) 3
Q: If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest p
A. 12
B. 15
C. 16
D. 19
Solution: Given ratio = 7 : 5 : 3 : 4, Sum of ratio terms = 19. Smallest part =  (76*3/19)  = 12
The correct answer is: A) 12
Q: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team ?
A. 20 years
B. 21 years
C. 23 years
D. 25 years
Solution: Let the average age of the whole team be x years. 11x - (26 + 29) = 9 (x - 1) => 11x - 9x = 46 => 2x = 46 => x = 23. So, average age of the team is 23 years.
The correct answer is: C) 23 years
Q: (x-2) men can do a piece of work in x days and (x+7) men can do 75% of the same work in (x-10)days. Then in how many days can (x+10) men finish the work?
A. 27 days
B. 12 days
C. 25 days
D. 18 days
Solution: 34×(x-2)x=(x+7)(x-10) ⇒x2-6x-280 =0  => x= 20   and   x=-14  so, the acceptable values is x=20  Therefore, Total work =(x-2)x = 18 x 20 =360 unit  Now   360 = 30 x k          => k=12 days
The correct answer is: B) 12 days
Q: 45% of 750  -  25% of 480 = ?
A. 337.50
B. 217.50
C. 376.21
D. 120
Solution: Given expression = (45 x 750/100) - (25 x 480/100) = (337.50 - 120) = 217.50
The correct answer is: B) 217.50
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
Solution: Suppose the man works overtime for x hours. Now, working hours in 4 weeks = (5 x 8 x 4) = 160. Therefore,  160 * 2.40 + x * 3.20 = 432  => 3.20x = 432 - 384 = 48  => x = 15.  Hence, total hours of work = (160 + 15) = 175.
The correct answer is: B) 175
Q: Every year before the festive season,a shopkeeper increases the price of the product by 35% and then introduce two successive discount of 10% and 15% respectively.what is percentage loss and percentage gain ?
A. 3.27 % loss
B. 4.15 % loss
C. 3.27 % gain
D. 4.15 % gain
Solution: Let cp= 100,35 % increase in sp=13510 % discount in 135((135*10)/100)=13.5so 1st sp=(135-13.5)=121.5, again 15 % discount in 1st sp((121.5*15)/100)=18.2252nd sp=(121.5-18.225)=103.275, so finally cp=100,sp=103.275 ,gain by 3.27%
The correct answer is: C) 3.27 % gain
Q: The diameter of the driving wheel of a bus is 140 cm. How many revolution, per minute must the wheel make in order to keep a speed of 66 kmph ?
A. 150
B. 250
C. 350
D. 550 
Solution: Circumference = No.of revolutions * Distance covered   Distance to be covered in 1 min. = (66 X1000)/60 m = 1100 m.Circumference of the wheel = 2 x (22/7) x 0.70 m = 4.4 m.Number of revolutions per min. =(1100/4.4) = 250.
The correct answer is: B) 250

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