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1) A sum of money is to be distributed among 4 sons of a rich man Albert, Ben, Chan, Den in the proportion of 4:5:2:3. If Ben gets $10000 more than Den, what is Chan's share?A) 10000 B) 11000 C) 9000 D) 8000
Answer & Explanation
Answer: 10000 (Let the shares of Albert, Ben, Chan and Den be $ 4x,5x,2x,3x respectively.
Then, 5x - 3x = 10000
x = 5000.
Chan's share = $ 2x = $ (2 x 5000) =$10000.
)
2) In a box, there are coins of 25 cents, 10 cents and 5 cents in the ratio of 1 : 3 : 4. If there is $30 in all, how many 10 cents are there?A) 40 B) 160 C) 120 D) 150
Answer & Explanation
Answer: 120 (Let the number of 25 cents, 10 cents and 5 cents coins be x, 3x, 4x respectively.
Then, sum of their values = $ 25x/100 + 10 * 3x/100 + 5 * 4x/100 = $ 75x/100
Therefore, 75x/100 = 30 & x = 3000 /75 = 40.
Hence, the number of 10 cents coins = (3 x 40) = 120
)
3) The ratio of the number of boys and girls in a college is 7 : 12. If the percentage increase in the number of boys and girls be 40% and 20% respectively, what will be the new ratio?A) 49:69 B) 49:72 C) 49:71 D) 49:68
Answer & Explanation
Answer: 49:72 (Originally, let the number of boys and girls in the college be 7x and 12x respectively.
Their increased number is (140% of 7x) and (120% of 12x) = 140 * 7x/100 and 120 * 12x/100
= 98x/10 and 144x/10
The required ratio = 98x/10 :144 x/10= 49 : 72
)
4) Two numbers are respectively 40% and 70% more than a third number. The ratio of the two numbers is:A) 14:16 B) 16:14 C) 14:17 D) 17:14
Answer & Explanation
Answer: 14:17 (Let the third number be x.
Then, first number = 140% of x = 140x/100 = 14x/10.
Second number = 170% of x = 170x/100 = 17x/10.
Ratio of first two numbers = 14: 17.)
5) The ages of Anne & Nand are in ration 4:1.Twenty years hence the ratio will be 2:1.What will be the age of Anne & Nand 10 years laterA) 50 & 25 B) 40 & 10 C) 50 & 20 D) 45 & 35
Answer & Explanation
Answer: 50 & 20 (Let the ages of Anne & Nand be 4x & x.
(4x + 20)/(x+ 20) = 2/1
Therefore, x = 10.
Present ages of Anne & Nand are 40 & 10.After 10 years they will be 50 & 20. )
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