1. A dishonest shopkeeper announces to sell rice at the cost price, but he uses a false weight of 920 gm instead of a kilogram. What is the gain percentage earned by the shopkeeper?
1) 8.69%
2) 7.12%
3) 6.25%
4) 4.62%
2. A man was engaged on a job for 40 days on the condition that he will get a wage of Rs. 180 for the day he works, but he will have to pay a fine of Rs. 20 for each day of his absence. If he gets Rs. 520 at the end of the month, then, he was absent for how many days?
1) 12 days
2) 10 days
3) 6 days
4) 8 days
5) 14 days
3. Find the least number which when divided by 25, 30, 35 and 40 leaves the remainder 18, 23, 28 and 33 respectively.
4. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 36 kmph. For how many minutes does the bus stop per hour?
1) 20 min
2) 25 min
3) 30 min
4) 18 min
5. At present Manorama is six times older than her son's age. Seven years hence, the ratio of their ages will be 11:3. What is Manorama's present age?
1) 42 years
2) 54 years
3) 63 years
4) 36 years
5) 48 years
6. How many kg of pure salt must be added to 40 kg of 4% solution of salt and water to increase it to 12% solution?
1) 2.04 kg
2) 2.64 kg
3) 3.14 kg
4) 3.64 kg
5) 5.64 kg
7. The average of the test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?
1) 6 : 5
2) 5 : 4
3) 4 : 3
4) 7 : 6
8. In a triangle, two sides of 4 cm and 3 cm are at right angle. If the triangle is revolved along the 4 cm side, the curved surface area of the cone so formed will be
1) 62.8 cm^2
2) 52.6 cm^2
3) 64. 8 cm^2
4) 67.6 cm^2
5) 66.6 cm^2
9. If 35% of a number is subtracted from the second number the second number reduces to its four–fifths. What is the ratio the first number to the second number?
1) 4 : 7
2) 4 : 9
3) 5 : 9
4) 5 : 7
10. The ages of Anshu, Bharti and Charita together are 57 years. Bharti is thrice as old as Anshu and Charita is 12 years older than Anshu. Then, the respective age of Anshu, Bharti and Charita is:
1) 8, 26, 23 (years)
2) 9, 27, 21 (years)
3) 8, 25, 24 (years)
4) 9, 26, 22 (years)
5) 9, 28, 20 (years)
Answers:
He sells 920 grams of rice and gains 80 grams
Gain % = 80/920 * 100 = 8.69%
Let the number of days he was absent be x days.
180 (40 – x) – 20 x = 5200
7200 – 180x – 20x = 5200
7200 – 200x = 5200
x = 2000/20 = 10 days
Required number = LCM of (25, 30, 35, 40) – 7
= 4200 – 7 = 4193
Time stopage rest per hour
Difference of speed/ Speed without stoppage = 60 minute
Now, 54-36/36 * 60 = 30 min per hour
Let Manorama son’s age be x years
Manorama’s age = 6x
(6x + 7)/(x + 7) = 11/3
18x + 21 = 11x + 77
Manorama’s present age = 6x = 48 years
Amount of salt in 40 kg of solution = 4/100 * 40 = 1.6 kg
Let x kg of pure salt be added.
Then, (1.6 + x)/ (40 + x) = 12/100
160 + 100x = 480 + 12x
x = 3.64 kg
(80x + 94y)/(x + y) = 86
80x + 94y = 86x + 86y
x/y = 8/6 = 4/3 = 4 : 3
Radius of formed cone = 4 cm
Slant height = 5 cm
Surface area of formed cone = πrl = 22/7 * 4 * 5 = 62.8 cm^2
N2 - 35% of N1 = 4/5 N2
N2 - 4/5N2 = 35/100N1
N2/5 = 35/100N1
N1/N2 = 1/5 * 100/35 = 4 : 7
Let the age of Anshu be x years
Bharti’s age = 3x
Charita’s age = x + 12
x + 3x + x + 12 = 57
or, 5x + 12 = 57
Anshu, Bharti and Charita’s age are 9, 27, 21 years
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