1. The CP of two dozen mangoes is Rs 32 , after selling 18 mangoes at 12 Rs per dozen ,the shopkeeper reduced the rate as Rs 4 per dozen. Then find the loss percentage ?
(a) 15
(b) 20
(c) 25
(d) 37.5
(e) None of these
Sol. Total CP = 32
Total SP = 12 + 6 + 2 = 20
∴ Loss percentage = (12/32)×100 = 37.5%
2. A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the current.
(a)1kmph
(b)3kmph
(c)5kmph
(d)2kmph
(e)none of these
Sol. Sol. Let downstream speed = x
Upstream speed = y
15/x = 3 + 45/60
15/x = 15/4
x = 4
5/y = 2 + 30/60
5/y = 5/2
y = 2
Speed of current = 1 kmph.
3. Elena’s age after 15 years will be 5 times her age 5 years back, What is the present age of Elena?
(a) 10
(b) 37
(c) 35
(d) 11
(e) none of these
Sol. Let Elena’s age = x
x + 15 = 5 (x – 5)
x = 10 years.
4. If the wheel of a bicycle makes 560 revolutions in travelling 1.1 km, what is its radius? (use π=22/7)
(a) 31.25 cm
(b) 37.75 cm
(c) 35.15 cm
(d) 11.25 cm
(e) none of these
Sol. Perimeter = 1.1×1000/560
2×22/7×r = 1.1×100/56
r = 110×7/(56×22×2) = 5/16
= 31.25 cm.
5. A cistern 6 m long and 4 m wide contains water up to a breadth of 1 m 25 cm. Find the total area of the wet surface.
(a)42 m sqaure
(b)49 m sqaure
(c)52 m sqaure
(d)64 m square
(e)none of these
Sol.Total Surface Area of wet surface
= 2 (l + B) × h + lb
= 2 (6 + 4) 1.25 + 6 × 4
= 20 × 1.25 + 24
= 25 + 24
= 49 m square
6. The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?
(a)8 : 3
(b)7 : 5
(c)4 : 3
(d)2 : 3
(e)none of these
Sol. (1/2−2/5)=1/10(4/7−1/2)=1/14
∴ Required Ratio = 14/10
=7 : 5
7. The average price of 10 books is Rs.12 while the average price of 8 of these books is Rs.11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?
(a)Rs. 5, Rs.7.50
(b)Rs. 8, Rs. 12
(c)Rs. 10, Rs. 16
(d)Rs. 12, Rs. 14
(e)None of these
Sol. Sum of price of the remaining two
Books = 12 × 10 – 11.75 × 8
= 26
∴ Let cost of First book be x
∴ x + 160x/100 = 26
260x/100 = 26
x = 10
∴ Price of second book = 10 + 6 = 16.
8. A fort has provisions for 60 days. If after 15 days 500 men strengthen them and the food lasts 40 days longer, how many men are there in the fort?
(a)3500
(b)4000
(c)6000
(d)8000
(e)None of these
Sol. Let No. of soldiers = x
60 × x = 15x + 40 (x + 500)
60x =15x + 40x + 20000
5x = 20000
x = 4000
9. A bag contains Rs 216 in the form of 1 Rs ,50 paisa &25 paisa coins in the ratio of 2:3:4.the numbers of 50 paisa coins is?
(a) 140
(b) 175
(c) 184
(d) 160
(e) none of these
Sol. 2x + 3x/2 + 4x/4 = 216
(8x + 6x + 4x)/4 = 216
18x/4 = 216
x = 48
∴ No of 50 paise coin = 48 × 3 = 144.
10. A is twice as fast as B & B is trice as fast as C. The journey covered by C in 42 min. Will be covered by B in ?
(a) 14 min
(b) 4 min
(c) 5 min
(d) 8 min
(e) 6 min
Sol. A B C
6x 3x x
Ratio of their speeds = 6 : 3 : 1
Ratio of their time = 16:13:11
= 1 : 2 : 6
∴Time taken by B = 426×2
= 14 min.
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