Q.1 At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
a) 30
b) 14
c) 12
d) 25
e) None of these
Q.2 It's dark. You have ten grey socks and ten blue socks you want to put into pairs. All socks are exactly the same except for their colour. How many socks would you need to take with you to ensure you had at least a pair?
a) 3
b) 16
c) 8
d) 7
e) None of these
Q.3 A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?
a) 11
b) 40
c) 26
d) 55
e) None of these
Q.4 A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. What is his profit percentage?
a) 6%
b) 5%
c) 4%
d) 7%
e) None of these
Q.5 Arun bought a computer with 15% discount on the labeled price. He sold the computer for Rs.2880 with 20% profit on the labeled price. At what price did he buy the computer?
a) Rs.3000
b) Rs.2080
c) Rs.2040
d) Rs.2000
e) None of these
Q.6 A reduction of 10% in the price of a pen enabled a trader to purchase 9 more for Rs.540. What is the reduced price of the pen?
a) 8
b) 6
c) 5
d) 4
e) None of these
Q. 7 Sunil purchases two books at Rs.300 each. He sold one book 10% gain and other at 10% loss. What is the total loss or gain in percentage?
a) 10% gain
b) 1% loss
c) No loss or no gain
d) 1% gain
e) None of these
Q.8 If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books ?
a) 600
b) 1200
c) 1500
d) 1800
e) none of these
Q.9 The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
a) Rs. 2000
b) Rs. 2200
c) Rs. 2400
c) Data inadequate
e) None of these
Q.10 A retailer buys product from a shopkeeper at discount of 40% on the list price (marked price) and sells them to the customer at a discount of 25% on the list price.What is his profit percentage ?
a) 10%
b) 15%
c) 20%
d) 25%
e) None of these
Answers:
Exp. 1: Ans.C
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n. Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66. This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Exp.2 : Ans. A
With three socks there is always a matching pair since. Either you will have chosen three of the same color, or a matching pair and an odd one out
Exp.3 : Ans. A
7 cartons for larges boxes per carton, where 7 x 8 = 56 boxes. 4 for small boxes, where 4 x 10 = 40 boxes. 96 total boxes and 11 cartons
Exp.4 : Ans. B
CP of 1st variety rice=20
CP of 2nd variety rice=36
CP of the 56 kg rice mixture=(26×20+30×36)=520+1080=1600
SP of the 1 kg rice mixture=30
SP of the 56 kg rice mixture=30×56=1680
Gain=SP−CP=1680−1600=80
Gain%=Gain/CP×100 =801/600×100 =100/20=5%
Exp. 5 : Ans : C
SP = 2880
Arun sold the computer with 20% profit on the Labeled Price
⇒2880=120×Labeled Price/100
⇒Labeled Price=(2880×100)/120=28800/12=9600/4=2400
Arun bought a computer with 15% discount on the labeled price
⇒CP = Labeled Price×85/100=2400×85/100=24×85=2040
Exp. 6 : Ans : B
Let price of a pen = x
Number of pens purchased for Rs.540 = 540/x
Price of a pen after the reduction of 10% = 90x/100=9x/10
Number of pens purchased for Rs.540 with reduced price = 540/9x/10=600/x
Additional pens purchased = 600/x−540/x=60/x
Given that Additional pens purchased = 9
⇒60/x=9
x=60/9
Reduced price of the pen= 60/9×90/100=6
Exp. 7 : Ans : C
CP of two books = 300 + 300 = 600
SP of two books = 300×110/100+300×90/100=300/100×(110+90)=3×200=600
Total SP = Total CP
Hence No loss or no gain
Exp. 8 : Ans : C
Least Cost Price = Rs. (200 * 8) = Rs. 1600.
Greatest Selling Price = Rs. (425 * 8) = Rs. 3400.
Required profit = Rs. (3400 - 1600) = Rs. 1800.
Exp.9 : Ans : A
Let C.P. be Rs. x.
Then, 1920-x/x= x-1280/x*100
1920 - x = x - 1280
2x = 3200
x = 1600
Required S.P. = 125% of Rs. 1600 =rs. (125/100*1600) = rs. 2000
Exp 10: Ans : D
Let the list price be Rs.100.
Therefore,the retailer is buying the products at Rs.60 and selling it to the customer at Rs.75, earning a profit of Rs.15.
Therefore, his percentage is = 15/60*100 = 25%
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