Ratio of the cost price to marked price of the Book is 4: 5. the shop offer a discount of 15% and the marked price of the article is Rs.720. What is the profit percentage of the Book?
Kayal and Mayan together can complete a work in 30 days. If Mayan alone complete 20% of the work in 16 days. In how many days Kayal alone complete 75% of the work?
36
38
40
42
44
Option A K+ M = 1/30 M = 5/1 * 16 = 80 days K= 1/30 – 1/80 K = (8 – 3)/240 = 5/240 K = 1/48 K complete the 75% of the work in = 48 * ¾ = 36 days
Kiran and Mithun invests in the ratio of 2: 3 and the investment period of x months and y months respectively. If the total profit of the business is 3500 and Mithun’s share is Rs.1500, then what is the ratio of x: y?
Person S invests Rs.8000 in scheme A which offer simple interest at 15% per annum for x years. After x years S received the total amount is Rs.17600. Find the value of x
5
6
7
8
9
Option D SI = (P * N * R)/100 SI = 17600 – 8000 = Rs.9600 9600 = (8000 * 15 * N)/100 N = 8 years
Ratio of the speed of Ship in still water to river is 4: 1. If the ship rowing the speed of 20 kmph in still water, then what is the ratio of the speed of ship rowing against the current and along the current?
3: 5
3: 7
4: 5
3: 8
3: 10
Option A Speed of river = ¼ * 20 = 5 kmph Speed of the ship along the river = 20 + 5 = 25 kmph Speed of the boat against the river = 20 – 5 = 15 kmph Required ratio = 15: 25 = 3: 5
A container of 120 liters contains oil and ghee. If 60 % of oil and 30 % of ghee is taken out, then the vessel will be half empty. Find the ratio of initial quantity of oil and ghee in the container?
5:6
2 : 1
1:6
7:4
2:0
Option B O+ G = 120 -à (1) (60/100) * O + (30/100) * G = 60 6O + 3G = 600 —> (2) By solving the equation (1) and (2), we get, O = 80 liters, G = 40 liters Required ratio = 80 : 40 = 2 : 1
How many 6 letter words with or without meaning can be formed out of the letters of the word, ‘INCUBATORS’, if repetition of letters is not allowed?
169006
350861
151200
713058
601427
Option C The word contains 10 different letters. Required number of words = 10p6 = > (10 * 9 * 8 * 7 * 6 * 5) = 151200
A guy drives 360 km from point A to B in 5 hours and backs to point B in 4 hours. If M is the average speed of the entire trip, then the average speed for the journey from B to A exceeds M by?
10 km/hr
56km/hr
89km/hr
45km/hr
16km/hr
Option A The speed from A to B = 360/5 = 72 km/hr The speed from B to A = 360/4 = 90 km/hr The average speed of the entire trip = 2xy/(x+ y) = > [(2 * 72 * 90) / 162]= > 80 km/hr Required difference = 90 – 80 = 10 km/hr
A purse has the dollars of 10p, 50p and 1 rupee is in the ratio of 5: 4: 3. If there is Rs. 22 in all, then find the total number of 50p coins?
90
14
54
98
16
Option E A purse has the coins of 10p, 50p and 1 rupee is in the ratio = 5: 4: 3 (5x, 4x, 3x) 22 = [(5x * 10) / 100] + [(4x * 50) / 100] + [(3x * 1)]22 = (50x/100) + (200x/100) + 3x 22 = (x/2) + 2x + 3x 44 = 11x x = 4 The total number of 50p coins = 4x = 16
A express train crosses a pole in 25 sec and the same train crosses a platform of length 150 m in 40 sec. Find the length of the train?
567m
605m
845m
250 m
831m
Option D Let the length of express be x, Here, the speed of the train is equal. So, (x / 25) = (x + 150) / 40 8x = 5x + 750 3x = 750 x = 250 The length of the train (x) = 250 m
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