1 . 
The total number of students in a school is 819. If the number of girls in the school is 364, then what is the respective ratio of the total number of boys to the total number of girls in the school ? 

Answer & Explanation
Answer : Option
D


Explanation : 

Total number of students in the school = 819 Number of girls = 364 Number of boys = 819  364 = 455 Required ratio = 455 : 364 = 5 : 4 





2 . 
If a dividend of Rs. 57,834 is to be divided among Meena, Urmila and Vaishali in the proportion of 3:2:1, find Urmila's share. 

Answer & Explanation
Answer : Option
D


Explanation : 







3 . 
A sum of money is to be divided among Z, X, Y in the respective proportion of 4:5:6 and another sum to be divided between A and B equally. If Z got ` 2000 less than A, how much did X get? 

Answer & Explanation
Answer : Option
D


Explanation : 







4 . 
The total number of boys in a school are 16% more than the total number of girls in the school. What is the ratio of the total number of boys to the total number of girls in the school? 

Answer & Explanation
Answer : Option
E


Explanation : 

Let the number of girls = $x$ Number of boys = 1.16 $x$ Required ratio = 1.16 $x$ : $x$ = 116 : 100 = 29 : 25 





5 . 
Ratio of the earning of A and B is 4:7 respectively. If the earnings of A increase by 50% and the earnings of B decrease by 25% the new ratio of their earnings becomes 8:7 respectively. What are A's earnings? 

Answer & Explanation
Answer : Option
D


Explanation : 







6 . 
Rinku and Pooja started a business initially with Rs. 5,100 and Rs. 6,600 respectively. If the total profit is Rs. 2,730 what is Rinku's share in the profit ? 

Answer & Explanation
Answer : Option
E


Explanation : 







7 . 
The total number of boys in a school is 15% more than the total number of girls in the school. What is the ratio of the total number of boys to the total number of girls in the school? 

Answer & Explanation
Answer : Option
C


Explanation : 

Let the number of girls be = $x$ Number of the boys = $115 \over 100$$x$ Required ratio = $115x \over 100$ $\times$ $x$ = 23 : 20 





8 . 
A and B started a business by investing Rs. 35,000 and Rs. 20,000 respectively. B left the business after 5 months and C joined the business with a sum of Rs. 15,000. The profit earned at the end of the year is Rs. 84,125. What is B's share of profit? 

Answer & Explanation
Answer : Option
C


Explanation : 







9 . 
Ninad, Vikas and Manav enter into a partnership. Ninad invests some amount at the beginning. Vikas invests double the amount after 6 months and Manav invests thrice the amount invested by Ninad after 8 months. They earn a profit of Rs.45, 000 at the end of the year. What is Manav's share in the profit? 

Answer & Explanation
Answer : Option
B


Explanation : 







10 . 
In a college the students in Arts and Commerce faculties were in the ratio of 4 : 5 respectively. When 65 more students joined Commerce faculty the ratio became 8 : 11. How many students are there in Arts faculty? 

Answer & Explanation
Answer : Option
A


Explanation : 

Let number of students in Arts and Commerce were 4$x$ and 5$x$ respectively. Then, $4x \over {5x + 65}$ = $8 \over 11$ 44$x$ = 520 $x$ = $520 \over 4$ = 130 Number of students in Arts = 4 $\times$ 130 = 520 





11 . 
Sarita started a boutique investing an amount of Rs. 50,000. Six months later Neeta joined her with an amount of Rs. 80,000. At the end of one year they earned a profit of Rs. 18, 000. What is Sarita's share in the profit? 

Answer & Explanation
Answer : Option
D


Explanation : 







12 . 
If $1 \over 2$ of Sumit's salary is equal to $2 \over 5$ of Rajan's salary and their total salary is Rs. 36,000, find Rajan's salary 

Answer & Explanation
Answer : Option
B


Explanation : 







13 . 
A contractor employed 25 labourers on a job. He was paid Rs. 275 for the work. After retaining 20% of this sum, he distributed the remaining amount amongst the labourers. If the number of male to female labourers was in the ratio 2 : 3 and their wages in the ratio 5 : 4, what wages did a female labourer get ? 

Answer & Explanation
Answer : Option
B


Explanation : 







14 . 
The largest and the second largest angles of a triangle are in the ratio of 13 : 12. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles ? 

Answer & Explanation
Answer : Option
D


Explanation : 







15 . 
Mr. Pandit owned 950 gold coins all of which he distributed amongst his three daughters Lalita, Amita and Neeta. Lalita gave 25 gold coins to her husband, Amita donated 15 gold coins and Neeta made jewellery out of 30 gold coins. The new respective ratio of the coins left with them was 20 : 73 : 83. How many gold coins did Amita receive from Mr. Pandit? 

Answer & Explanation
Answer : Option
A


Explanation : 

Required number of gold coins = ${{950 (25 15 30)} \times 73}\over (20 + 73 + 83)$ + 15 = 365 + 15 = 380 





16 . 
The ratio of the money with Rita an Sita is 7 : 15 and that with Sita and Kavita is 7 : 16. If Rita has Rs. 490, how much money does Kavita have? 

Answer & Explanation
Answer : Option
C


Explanation : 







17 . 
If A : B = 3 : 4, B : C = 8 : 10 and C : D = 15 : 17 Then find A : B : C : D. 

Answer & Explanation
Answer : Option
D


Explanation : 







18 . 
A hound pursues a hare and takes 5 leaps for every 6 leaps of the hare, but 4 leaps of the hound are equal to 5 leaps of the hare. Compare the rates of the hound and the hare. 

Answer & Explanation
Answer : Option
C


Explanation : 







19 . 
If a carton containing a dozen mirrors is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors? 

Answer & Explanation
Answer : Option
C


Explanation : 

There are 12 mirrors in the carton. So, the sum of terms in the ratio must divide 12 exactly. We see that 2 + 1 = 3 divides 12 exactly. 3 + 1 = 4 also divides exactly. 3 + 2 = 5 doesn't divide 12 exactly. 





20 . 
If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and a + b + c = 14, then find a : b : c and the value of a, b and c. 

Answer & Explanation
Answer : Option
D


Explanation : 







21 . 
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50%, and 75% respectively. What will be the ratio of increased seats? 

Answer & Explanation
Answer : Option
A


Explanation : 







22 . 
The ratio of the number of boys and girls in a college is 7 : 8. If the precentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio? 

Answer & Explanation
Answer : Option
C


Explanation : 







23 . 
A sum of money is be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share? 

Answer & Explanation
Answer : Option
C


Explanation : 

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively. B's share = Rs.2$x$ = Rs. (2 $\times$ 1000) = Rs.2000 





24 . 
The electricity bill of a certain estabilshment is partly fixed and partly vories as the number of units of electricity consumed. When in a certain month 540 units are consumed, the bill is Rs. 1800. In another month 620 units are consumed and the bill is Rs. 2040. In yet another month 500 units are consumed. The bill for that month would be: 

Answer & Explanation
Answer : Option
B


Explanation : 







25 . 
What is the ratio whose terms differ by 40 and the measure of which is $2 \over 7$ ? 

Answer & Explanation
Answer : Option
A


Explanation : 







26 . 
Railway fares of 1st, 2nd and 3rd classes between two stations were in the ratio of 8 : 6 : 3. The fares of 1st and 2nd class were subsequently reduced by 1/6 and 1/12, respectively. If during a year, the ratio between the passengers of 1st, 2nd and 3rd classes was 9 : 12 : 26 and total amount collected by the sale of tickets was Rs 1088, then find the collection from the passengers of 1st, class. 

Answer & Explanation
Answer : Option
D


Explanation : 







27 . 
In two alloys, the ratio of iron and copper is 4 : 3 and 6 : 1, respectively. If 14 kg of the first alloy and 42 kg of the second alloy is mixed together to form a new alloy, then what will be the ratio of iron to copper in the new alloy ? 

Answer & Explanation
Answer : Option
A


Explanation : 







28 . 
The ratio of the amount for two years under CI annually and for one year under SI is 6 : 5. When the ratio of interest is same, then the value of the rate of interest is : 

Answer & Explanation
Answer : Option
C


Explanation : 







29 . 
In an engineering college the average salary of all engineering graduates from Mechanical trade is Rs. 2.45 lacs per annum and that of the engineering graduates from Electronics trade is Rs. 3.56 lacs per annum. The average salary of all Mechanical and Electronics graduates is Rs. 3.12 lacs per annum. Find the least number of Electronics graduates passing out from this institute. 

Answer & Explanation
Answer : Option
C


Explanation : 

Let the number of Mechanical engineering graduates be M and Electronic engineering graduates be E. Then ${2.45M + 3.56E}\over M + E$ = 3.12 $\Rightarrow$ 2.45M + 3.56E = 3.12M + 3.12E 0.44E = 0.67M E = $0.67 \over 0.44$M = $67 \over 44$M 





30 . 
Fresh grapes contain 80 per cent water while dry grapes contain 10 per cent water. If the weight of dry grapes is 250 kg then what was its total weight when it was fresh ? 

Answer & Explanation
Answer : Option
B


Explanation : 







