1) If the sales tax be reduced from 4 (1/3) % to 2 (1/2) %, then what difference does it make to a person who purchases a bag with marked price of Rs. 8000?
a. Rs. 156.66
b. Rs. 150.23
c. Rs. 146.66
d. Rs. 135.06
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Answer
Explanation
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ANSWER: Rs. 146.66
Explanation:
Required difference = (4 (1/3) of Rs. 8000) - (2 (1/2) of Rs. 8000)
= (13/3 – 5/2) % of Rs. 8000
= (11/6) x (1/100) x 8000
= Rs. 146.66
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2) The difference between a number and its two-fifth is 45. What is the number?
a. 64
b. 75
c. 80
d. 89
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Answer
Explanation
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ANSWER: 75
Explanation:
Let the number be x.
x – (2 / 5) x = 45
(3/5) x = 45
x = 75
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3) A boy incurs 5% loss by selling a book for Rs. 1000. At what price should the book be sold to earn 5 % profit?
a. Rs. 1105.26
b. Rs. 1251.50
c. Rs. 1085.13
d. Rs. 1885.13
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Answer
Explanation
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ANSWER: Rs. 1105.26
Explanation:
Let the new selling price be Rs. x
(100 – loss %) /1000 = (100 + gain %) / x
(100 – 5) / 1000 = (100 + 5) / x
x = (105 × 1000) / 95 = 105000 / 95
x = 1105.26.
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4) If a : b = 2 : 3, find the value of (3a + 5b) : (3a – b)
a. 2 : 7
b. 7 : 1
c. 2 : 5
d. 4 : 9
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Answer
Explanation
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ANSWER: 7 : 1
Explanation:
Given: a/b = 2/3
(3a + 5b) / (3a – b)
= [3(a/b) +5] / [3(a/b) – 1]
= [3(2/3) +5] / [3(2/3) – 1]
= 7/1
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5) Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 15,000, what is Ramesh's share?
a. Rs. 10,000
b. Rs. 9375
c. Rs. 8520
d. None of these
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Answer
Explanation
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ANSWER: Rs. 9375
Explanation:
Ratio of Suresh and Ramesh's share = 24,000 : 40,000 = 3 : 5
Ramesh's share = Rs. (15000 x 5 / 8) = Rs. 9375
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6) P and Q together can complete a piece of work in 4 days. If P alone can complete the same work in 20 days, in how many days can Q alone complete that work?
a. 8
b. 7
c. 4
d. 5
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Answer
Explanation
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ANSWER: 5
Explanation:
(P + Q)'s 1 day's work = 1/4, P's 1 day's work = 1/20
Q's 1 day's work = (1/4 – 1/20) = (4/20) = (1/5)
Hence, Q alone can complete the work in 5 days.
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7) Two pipes P and Q can fill a tank in 10 hours and 14 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?
a. 4 hours 20 min
b. 5 hours 49 min
c. 3 hours 50 min
d. 3 hours 22 min
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Answer
Explanation
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ANSWER: 5 hours 49 min
Explanation:
Part filled by P in 1 hour = 1/10
Part filled by Q in 1 hour = 1/14
Part filled by (P + Q) in 1 hour = ( 1/10 + 1/14) = (6/35)
Time taken to fill the tank is (35/6) = 5 hours 49 min
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8) If John covers a certain distance in 1 hr. 24 min. by covering two third of the distance at 4 kmph and the rest at 5 kmph, then find the total distance.
a. 4 km
b. 6 km
c. 6.8 km
d. 7.2 km
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Answer
Explanation
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ANSWER: 6 km
Explanation:
Let the total distance be y km. Then,
(2/3)y/4 +(1/3)y/5 =7/5
y/6 + y/15 = 7/5
7y =42
y = 6 km
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9) A train takes 20 seconds to pass completely through a station 160 m long and 15 seconds through another station 110 m long. Find the length of the train.
a. 100 m
b. 70 m
c. 60 m
d. 40 m
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Answer
Explanation
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ANSWER: 40 m
Explanation:
Let the length of the train be x meters.
Therefore (x + 160)/20 = (x + 110)/15 = 15(x + 160) = 20(x+110)
x = 40 m
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10) The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 12 minutes is:
a. 1.8 km
b. 7 km
c. 5 km
d. 3 km
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Answer
Explanation
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ANSWER: 5 km
Explanation:
Speed downstream = (20+5) kmph = 25 kmph
Distance travelled = (25*(12/60)) km = 5 km.
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