Q1)-A sum of Rs. 430 has been distributed among 45 people consisting of men, women and children. The total amounts given to men, women and children are in the ratio 12 : 15 :16. But, the amounts received by each man, woman and child are in the ratio 6 : 5 : 4. Find, what each man, woman and child receives (in Rs.).
Q2)-In three vessels, each of 100 L capacity, mixture of milk and water is failed. The ratio of milk and water are 4 : 1, 2 : 3, 4 : 3 in the respective vessels. If all three vessels are emptied into a single large vessel, then what will be the ratio of water to milk in the resultant mixture?
Q3)-Mayank, Mirza, Little and Jaspal bought a motorbike for Rs. 60,000. Mayank paid one half of the sum of the amounts paid by the other boys, Mirza paid one third of the sum of the amounts paid by the other boys, Little paid one fourth of the sum of the amounts paid by the other boys. How much did Jaspal has to pay?
Q4)-In an examination it is required to get 296of the total maximum aggregate marks to pass. A student gets 259 marks and is declared failed. The difference of marks obtained by the student and that required to pass is 5%. What are the maximum aggregate marks a student can get?
Q5)-A student is studying for a test from 11:00 am to 8:00 pm on weekdays and one-third of that on Saturdays. On Sundays he takes a break from school and goes fishing. For what fractional part of the entire week is the student studying?
Q6)-A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black pair is double that a brown pair. While preparing the bill, the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50 per cent. The ratio of the number of black and brown pairs of socks in the original order was:
Q7)-I have one rupee coins, fifty paise coins and twenty five paise coins. The number of coins is in the ratio 2.5 : 3 : 4. If the total amount with me is Rs. 210, find the number of one rupee coins.
Q8)-A survey shows that 61%, 46% and 29% of the people watched ‘Airlift’, Neerja’ and ‘Jolly LLB’ respectively. 25% people watched exactly two of the three movies and 3% watched more, what percentage of people watched all the three movies?
Q9)-The monthly incomes of two persons are in the ratio of 4 : 5 and their monthly expenditures are in the ratio of 7 : 9. If each saves Rs. 50 a month, then what are their monthly incomes?
Q10)-A bag contains 600 pens of brand A and 1200 pens of brand B. If 12% of brand A pens and 25% of brand B pens are removed, then what is the approximately percentage of total pens removed from the bag?
12, 10, 8
120, 150,160
180, 150, 120
60, 75, 80
Ans.- A
Ratio of personal shares = 6 : 5 : 4
Ratio of the amounts = 12 : 15 : 16
Ratio of men, women and children
=12/6 ∶15/5 ∶16/4
= 2 : 3 : 4
Sum of these ratios = (2 + 3 + 4) = 9
Number of men =((45 × 2)/9)=10
Number of women =((49 × 3)/9)=15
And, the number of children = 45 - (10 +
15) = 20
Now, dividing Rs. 430 in the ratio = 12 :
15 : 16
Total amount of men’s share
= Rs. ((430 × 12)/43)
= Rs. 120
Total amount of women’s share
= Rs. ((430 × 15)/43)
= Rs. 150
Total amount of children’s share
= Rs. [430 - (120 + 150)]
= Rs. 160
∴ Each man’s share = Rs. (120/10)=Rs.12
Each woman’s share = Rs. (150/15)= Rs. 10
Each child’s share = Rs. (160/20) = Rs. 8
Ratio of personal shares = 6 : 5 : 4
Ratio of the amounts = 12 : 15 : 16
Ratio of men, women and children
=12/6 ∶15/5 ∶16/4
= 2 : 3 : 4
Sum of these ratios = (2 + 3 + 4) = 9
Number of men =((45 × 2)/9)=10
Number of women =((49 × 3)/9)=15
And, the number of children = 45 - (10 +
15) = 20
Now, dividing Rs. 430 in the ratio = 12 :
15 : 16
Total amount of men’s share
= Rs. ((430 × 12)/43)
= Rs. 120
Total amount of women’s share
= Rs. ((430 × 15)/43)
= Rs. 150
Total amount of children’s share
= Rs. [430 - (120 + 150)]
= Rs. 160
∴ Each man’s share = Rs. (120/10)=Rs.12
Each woman’s share = Rs. (150/15)= Rs. 10
Each child’s share = Rs. (160/20) = Rs. 8
Q2)-In three vessels, each of 100 L capacity, mixture of milk and water is failed. The ratio of milk and water are 4 : 1, 2 : 3, 4 : 3 in the respective vessels. If all three vessels are emptied into a single large vessel, then what will be the ratio of water to milk in the resultant mixture?
197 : 214
43 : 62
219 : 117
179 : 234
Ans.- B
Q3)-Mayank, Mirza, Little and Jaspal bought a motorbike for Rs. 60,000. Mayank paid one half of the sum of the amounts paid by the other boys, Mirza paid one third of the sum of the amounts paid by the other boys, Little paid one fourth of the sum of the amounts paid by the other boys. How much did Jaspal has to pay?
Rs. 17,000
Rs. 13,000
Rs. 15,000
Rs. 16,000
Ans.- B
Mayank paid 1/2 of the sum paid by
other three.
Let the other three paid Rs. x jointly,
then Mayank paid x/2
So, x+x/2=60,000 ⇒ x = 40,000.
Hence, Mayank paid = Rs. 20,000
Likewise, Mirza and Little paid Rs. 15,000
and Rs. 12,000 respectively.
Hence, the amount paid by Jaspal is
Rs. [60,000 - (20,000 + 15,000 + 12,000)]
= Rs. 13,000
Mayank paid 1/2 of the sum paid by
other three.
Let the other three paid Rs. x jointly,
then Mayank paid x/2
So, x+x/2=60,000 ⇒ x = 40,000.
Hence, Mayank paid = Rs. 20,000
Likewise, Mirza and Little paid Rs. 15,000
and Rs. 12,000 respectively.
Hence, the amount paid by Jaspal is
Rs. [60,000 - (20,000 + 15,000 + 12,000)]
= Rs. 13,000
Q4)-In an examination it is required to get 296of the total maximum aggregate marks to pass. A student gets 259 marks and is declared failed. The difference of marks obtained by the student and that required to pass is 5%. What are the maximum aggregate marks a student can get?
690
780
740
Cannot be determined
Ans.- C
Q5)-A student is studying for a test from 11:00 am to 8:00 pm on weekdays and one-third of that on Saturdays. On Sundays he takes a break from school and goes fishing. For what fractional part of the entire week is the student studying?
3/7
2/5
2/7
3/8
Ans.- C
Student studies for 9 hrs from 11 am to 8 pm on Monday to Friday
Also, be studies 1/3rd of the time on
Sunday i.e. 1/3×9=3h
Total hours, he studied during the week
= 5 × 9 + 3 = 45 + 3 = 48h
Total hours, in a week = 24 × 7 = 168
∴ Required fraction
=48/168=2/7
Student studies for 9 hrs from 11 am to 8 pm on Monday to Friday
Also, be studies 1/3rd of the time on
Sunday i.e. 1/3×9=3h
Total hours, he studied during the week
= 5 × 9 + 3 = 45 + 3 = 48h
Total hours, in a week = 24 × 7 = 168
∴ Required fraction
=48/168=2/7
Q6)-A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black pair is double that a brown pair. While preparing the bill, the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50 per cent. The ratio of the number of black and brown pairs of socks in the original order was:
4 : 1
2 : 1
1 : 4
1 : 2
Ans.- C
Let x pairs brown socks were ordered
Let p be the price of a brown pair
∴ 2p is the price of a black pair
∴ (2p × 4 + px) + 50% of (2p × 4 + px)
= 2p × x + 4p
⇒ x = 16
∴ Required ratio = 1 : 4
Let x pairs brown socks were ordered
Let p be the price of a brown pair
∴ 2p is the price of a black pair
∴ (2p × 4 + px) + 50% of (2p × 4 + px)
= 2p × x + 4p
⇒ x = 16
∴ Required ratio = 1 : 4
Q7)-I have one rupee coins, fifty paise coins and twenty five paise coins. The number of coins is in the ratio 2.5 : 3 : 4. If the total amount with me is Rs. 210, find the number of one rupee coins.
90
85
100
105
Ans.- D
Ratio of number of one rupee, fifty paise,
and twenty five paise coins = 2.5 : 3:4
∴ Ratio of value of coins =2.5×1∶3/2
∶4/4=5∶3∶2
Let, amount of Rs 1, 50 paise and 25 paise
coins be 5x, 3x and 2x respectively.
So, 5x + 3x + 2x = 210 (given) ⇒ x = 21
∴ Value of one rupee coins
= number of one rupee coins = 21 × 5 = 105
Ratio of number of one rupee, fifty paise,
and twenty five paise coins = 2.5 : 3:4
∴ Ratio of value of coins =2.5×1∶3/2
∶4/4=5∶3∶2
Let, amount of Rs 1, 50 paise and 25 paise
coins be 5x, 3x and 2x respectively.
So, 5x + 3x + 2x = 210 (given) ⇒ x = 21
∴ Value of one rupee coins
= number of one rupee coins = 21 × 5 = 105
Q8)-A survey shows that 61%, 46% and 29% of the people watched ‘Airlift’, Neerja’ and ‘Jolly LLB’ respectively. 25% people watched exactly two of the three movies and 3% watched more, what percentage of people watched all the three movies?
39%
11%
14%
7%
Ans.- D
Q9)-The monthly incomes of two persons are in the ratio of 4 : 5 and their monthly expenditures are in the ratio of 7 : 9. If each saves Rs. 50 a month, then what are their monthly incomes?
Rs. 100, Rs. 125
Rs. 100, Rs. 125
Rs. 300, Rs. 375
Rs. 400, Rs. 500
Ans.- D
Let the incomes of the two persons be 4I
and 5I respectively
Let the expenditure of the two persons be
7E and 9E respectively.
∴ 4I - 7E = 50 and 5I - 9E = 50
⇒ 20I - 35E = 250
20I - 36E = 200
E = 50 and I = 100
∴ Monthly incomes of the two persons are
Rs.400 and Rs. 500 respectively.
Let the incomes of the two persons be 4I
and 5I respectively
Let the expenditure of the two persons be
7E and 9E respectively.
∴ 4I - 7E = 50 and 5I - 9E = 50
⇒ 20I - 35E = 250
20I - 36E = 200
E = 50 and I = 100
∴ Monthly incomes of the two persons are
Rs.400 and Rs. 500 respectively.
Q10)-A bag contains 600 pens of brand A and 1200 pens of brand B. If 12% of brand A pens and 25% of brand B pens are removed, then what is the approximately percentage of total pens removed from the bag?
37%
36%
22%
18%
Ans.- D
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