Showing posts with label ratio & proportion quiz. Show all posts
Showing posts with label ratio & proportion quiz. Show all posts

Tuesday, 4 April 2017


Dear Aspirants,

We have introduced  "the 45 days study plan to crack SBI PO Prelims Exam 2017". This plan is specifically dedicated to Quantitative Aptitude, English Language & Reasoning  and cover all types of questions asked in Bank PO exams. This will help you to prepare in a more efficient and systematic way. So, follow this post to keep updated with the plan.

Q1. A certain sum of money was divided among A, B and C in a certain way. C got half as much as A and B together got. A got one third of what B and C together got. What is the ratio of A’s share to that of C’ s share?
(a) 1 : 4
(b) 3 : 4
(c) 4 : 1
(d) 3 : 5
(e) None of these

Q2. The wages of laborers in a factory increased in the ratio 22 : 25 and there was a reduction in their number in the ratio 15 : 11. Find the original wage bill if the present bill is Rs 5000.
(a) Rs 2500
(b) Rs 3000
(c) Rs 5000
(d) Rs 6000
(e) None of these

Q3. Rs 1220 is divided, among A, B, C and D such that B’s share is 5/9 th of A’s; C’s share is 7/10 th of B’s and D has 1/3rd as much as B and C together. Find A’s share
(a) Rs 540
(b) Rs 802
(c) Rs 100
(d) Rs 650
(e) None of these

Q4. A, B and C are partners. A receives 9/10 of the profit and B and C share the remaining profit equally. A’s income is increased by Rs 270 when the profit rises from 12 to 15%. Find the capital invested by B and C each
(a) Rs 5000
(b) Rs 1000
(c) Rs 500
(d) Rs 1500
(e) None of these

Q5. Three friends A, B and C started a business by investing a sum of money in the ratio of 5 : 7 : 6. After 6 months C withdraws half of his capital. If the sum invested by ‘A’ is Rs 40,000, out of a total annual profit of Rs 33,000, C’s share will be
(a) Rs 9,000
(b) Rs 12,000
(c) Rs 11,000
(d) Rs 10,000
(e) None of these

Q6. Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by Rs 25 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
(a) Rs 80 lakh
(b) Rs 50 lakh
(c) Rs 40 lakh
(d) Rs 60 lakh
(e) None of these

Q7. In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%?
(a) 1 kg
(b) 200 gms
(c) 800 gms
(d) 1.8 kg
(e) None of these

Q8. When 30 percent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?
(a) 3 : 4
(b) 4 : 3
(c) 3 : 2
(d) 4 : 5
(e) None of these

Q9. In Ram nagar Colony, the ratio of school going children to non-school going children is 5 : 4. If in the next year, the number of non-school going children is increased by 20%, making it 35,400 what is the new ratio of school going children to non-school going children?
(a) 4 : 5
(b) 3 : 2
(c) 25 : 24
(d) 6 : 7
(e) None of these

Q10. Rs 1104 is divided between 3 men, 4 women and 6 boys, so that the share of man, a women and a boy are in the proportion of 3 : 2 : 1. How much does each boy get?
(a) Rs 48
(b) Rs 64
(c) Rs 96 
(d) Cannot be determined
(e) None of these

Q11. A, B and C started a business. A invests 1/2 capital for 1/4 time, B invests =1/8 capital for 1/2 time and C invests the remaining capital for whole time. Find the share of B in the total profit Rs 9900.
(a) Rs 2200
(b) Rs 1100
(c) Rs 6600
(d) Rs 4400
(e) None of these

Q12. Two jars having a capacity of 3 and 5 litres respectively are filled with mixtures of milk and water. In the smaller jar 25% of the mixture is milk and in the larger 25% of the mixture is water. The jars are emptied into a 10 litre cask whose remaining capacity is filled up with water. Find the percentage of milk in the cask.
(a) 55%
(b) 50%
(c) 45%
(d) 25%
(e) None of these

Q13. Two metals X and Y are to be used for making two different alloys. If the ratio by weight of X : Y in the first alloy is 6 : 5 and that in the second is 7 : 13, how many kg of X metal must be melted along with 11 kg of the first alloy and 20 kg of the second so as to produce a new alloy containing 40% of metal Y?
(a) 11
(b) 12
(c) 13
(d) 14
(e) None of these

Q14. Two equal glasses are respectively 2/3 and 1/4 full of milk. They are then filled up with water and the contents are mixed in a tumbler. The ratio  of milk and water in the tumbler is
(a) 5 : 6
(b) 11 : 13
(c) 13 : 11
(d) Cannot be determined
(e) None of these

Q15. The ratio of the present ages of a son and his father is 1 : 5 and that of his mother and father is 4 : 5. After 2 years the ratio of the age of the son to that of his mother becomes 3 : 10. What is the present age of the father?
(a) 30 years
(b) 28 years
(c) 37 years
(d) 35 years
(e) None of these

Solutions








S5. Ans.(a)

Sol.
Sum invested by A, B and C is
5 × 12 : 7 × 12 : 6 × 6 +3 × 6
Or, 60 : 84 : 54 
or,  10 : 14 : 9
Share of C =9/33×33,000 
=Rs 9,000



S7. Ans.(a)
Sol.
In 1 kg mixture quantity of iron = 200 gm
Let x gm sand should be added, then
10% of (1000+ x) = 200
x = 1000 gm = 1kg

S8. Ans.(b)
Sol.
Let the first and the second number be x and y respect then
y+30% of x=140% of y
or, y + 0.3x = 1.4y
or, 0.3x = 0.4y
∴ x : y = 0.4 : 0.3 = 4 : 3

S9. Ans.(c)
Sol.
5 : 4 → 5 : 4.8 → 25 : 24
Option (c) is correct

S10. Ans.(a)
Sol.
Let each boy gets x, so the women gets 2x and a man gets 3x.
Now, (3 × 3x) + (4 × 2x) + (6 × x) = 1104 
⇒ 23x = 1104
⇒ x = 48
∴ Each boy gets Rs 48.

 S12. Ans.(c)
Sol. There will be a total of 4.5 litres of milk (25% of 3 + 75% of 5) giving a total of 4.5. Hence, 45%




S15. Ans.(d)
Sol.
SON : FATHER = 1 : 5
FATHER : MOTHER = 5 : 4 
S : f : m = 1 : 5 : 4 ⇒ x : 5x  : 4x
⇒ (x+2)/(4x+2)=3/10
⇒ 10x+20=12x+6
⇒ x= 7
Father’ age ⇒ 7 × 5 = 35 years

SBI PO Recruitment 2017-18 brings a golden opportunity for every banking aspirant for the year 2017. So, we at crackbankexam give you a well prepared 45 days study plan to crack SBI PO Prelims 2017. As the tentative date for the preliminary exam is 29th April, you should start preparing from now onwards. So its the right time to start with a reliable plan. With this study plan you can cover all important topics including the new pattern questions.

Quantitative Aptitude


For quantitative aptitude, it's practice that matters for scoring well in limited time. But if you find this section difficult, start working on it with a smart plan. With this SBI PO 45 days study plan you can cover all the important topics and types of questions which can be asked in SBI PO Prelims 2017-18. With good accuracy, you’ll surely get through this section with a decent score.


Reasoning


It is important that you practice everything from puzzles to seating arrangement, from coding-decoding to syllogism with ever decreasing escape routes in reasoning section. Step by step preparation will help you develop those skills to tackle twisted questions of reasoning ability in the examination. For scoring well in SBI PO reasoning practising what is really important and it can be your game changer.


English Language


It all started with last year’s SBI recruitment’s online test and till date, this section has gone through drastic changes, the pattern and level of English Language section have completely transformed from the conventional approach to a more challenging, practical and dynamic approach. And with this study plan you will be well versed in all the new pattern questions being asked in the SBI PO exam.



Follow our SBI PO Prelims 45 days Study Plan to better your chances at the coming SBI PO 2017 EXAM. Checkout other posts from the SBI PO Prelims 45 study plan in the given below table :

SBI PO (Quadratic Equation) SBI PO (Simplification) SBI PO (Percentage)
SBI PO (Data Sufficiency) SBI PO (Ratio&Proportion) SBI PO (Profit-Loss)
SBI PO (Time&Work) SBI PO (Inequalities) SBI PO (Number Series)

Subscribe to our site and keep updated with the SBI PO Prelims Study Plan as we post for SBI PO content daily. Apart from SBI PO content we post for other banks like IBPS PO, IBPS Clerk, IBPS SO, NIACL Assistant, SSC, etc also.

Saturday, 18 March 2017



Dear Aspirants,

We have introduced  "the 45 days study plan to crack SBI PO Prelims Exam 2017". This plan is specifically dedicated to Quantitative Aptitude, English Language & Reasoning  and cover all types of questions asked in Bank PO exams. This will help you to prepare in a more efficient and systematic way. So, follow this post to keep updated with the plan.


Q1. Half the girls and one-third of the boys of a college reside in the hostel. What fractional part of the student body is hostel dwellers if the total number of girls in the college is 100 and is one-fourth of the total strength?   
(a) Two-fifths 
(b) Five-twelfths 
(c) One-fifth 
(d) Three-eights 
(e) None of these

Q2. 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? 
(a) Rs. 100, Rs. 125
(b) Rs. 200, Rs. 250
(c) Rs. 300, Rs. 375 
(d) Rs. 400, Rs. 500 
(e) None of these

Q3. When a bus started from the first stop, the number of male passengers to the number of female passengers was 3 : 1. At the second stop, 16 passengers got down and 6 more female passengers got in. The ratio of the male to female passengers now become 2 :1. What was the total number of passengers in the bus when it started from the first stop?
(a) 64
(b) 48
(c) 54
(d) 72
(e) 80

Q4. X’s income is three-fourths of Y’s income, and X’s expenditure is fourth-fifths of Y’s expenditure.  If X’s income is nine-tenths of Y’s expenditure, find the ratio of X’s savings to Y’s savings.  
(a) 1 : 2
(b) 2 : 1
(c) 1 :4
(d) 2 : 3
(e) None of these

Q5. Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person’s speed to that of 1st escalator is 2 : 3 (steps). The ratio of 2nd person’s speed of that of 2nd escalator is 3 : 5 (steps). Find the total number of steps they both have taken together.
(a) 85 
(b) 93
(c) 80
(d) 75
(e) None of these

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:  
(a) 4 : 1
(b) 2 : 1
(c) 1 : 4
(d) 1 : 2
(e) None of these

Q7. Two companies A and B quote for a tender. On the tender opening day, A realizes that the two quotes are in the ratio 7 : 4 and hence decreases it price during negotiations to make it Rs. 1 lakh lower than B’s quoted price. B then realises that the final quotes of the two were in the ratio 3 :4. By how much did A decrease its price in order to win the bid?   
(a) Rs. 7 lakhs 
(b) Rs. 4 lakhs 
(c) Rs. 9 lakhs 
(d) Rs. 8 lakhs 
(e) None of these

Q8. 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?  
(a) 2/5
(b) 3/7
(c) 2/7
(d) 3/8
(e) None of these

Q9. 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.). 
(a) 12, 10, 8
(b) 180, 150, 120
(c) 120, 150,160 
(d) 60, 75, 80
(e) None of these

Q10. The ratio between the number of passengers travelling by I and II class between the two railway stations is 1 : 50, whereas the ratio of I and II class fares between  the same stations is 3 : 1. If on a particular day, Rs. 1325 were collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers? 
(a) Rs. 750
(b) Rs. 850
(c) Rs. 1000
(d) Rs. 1250 
(e) None of these

Q11. Fresh grapes contain 90 per cent water by weight while dried grapes contain 20 per cent water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes? 
(a) 2 kg 
(b) 2.4 kg 
(c) 2.5 kg 
(d) 3 kg
(e) None of these

Q12. In a certain company, the ratio of the number of managers to the number of production-line workers is 5 to 72. If 8 additional production-line workers were to be hired, the ratio of the number of managers to the production-line workers would be 5 to 74. How many managers does the company have?  
(a) 10
(b) 20
(c) 30
(d) 25
(e) None of these

Q13. 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?  
(a) Rs. 15,000
(b) Rs. 13,000
(c) Rs. 17,000
(d) Rs. 16,000
(e) None of these

Q14. 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.
(a) 90
(b) 85
(c) 100
(d) 105
(e) None of these

Q15. The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1 : 2 : 3 : 4. When the pieces were sold, the merchant got Rs. 70,000 less. Find the original price of the diamond. 
(a) Rs 1.4 lakhs 
(b) Rs 2 lakhs 
(c) Rs. 1 lakhs
(d) Rs. 2.1 lakhs 
(e) None of these

Solutions

S1. Ans.(d)
Sol. Number of girls = 100
∴ Number of boys = 300 
∴ Number of hostel dwellers = 50 + 100 = 150 
⇒ Required ratio = 150 : 400 
=3∶8=3/8 

S2. Ans.(d)
Sol. 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. 

S3. Ans.(a)
Sol. Let, initially, the number of males and females in the bus be 3x and x respectively. 
At the first stop, suppose m males and f females left the bus. 
∴ At the first stop: Number of the males is 3x - m 
And number of females 
 
∴ f = 4, x = 16 
∴ Total number of passengers in the beginning 
= 4x = 64 
For no other value of f any of the other alternatives holds good.  

S4. Ans.(a)
Sol. Let X’s income be 3k then Y’s income is 4k. Let X’s expenditure be 4g then Y’s expenditure is 5g. 

 

S6. Ans.(c)
Sol. 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 

S7. Ans.(b)
Sol. Let the quotes of A and B be 7X and 4X, respectively. 
After decreasing, quotes of A = 4x - 1 
Then, we are given 
 
⇒ X = 1
Then, decreasing by A = 7X - (4X - 1) 
= 3x + 1 = 3 + 1
= Rs. 4 lakhs 

S8. Ans.(c)
Sol. 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 

S9. Ans.(a)
Sol. 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 

S10. Ans.(d)
Sol. Ratio of the amount collected from the 1st class and the 2nd class passengers = 3 : 50 
∴ Amount collected from the 2nd class passengers 
=50/53×1325 = Rs. 1250.

S12. Ans.(b)
Sol. According to question, 
5x/(72x + 8)=5/74 
⇒ x = 4 
Managers = 5 × 4 = 20 

S13. Ans.(b)
Sol. 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
S14. Ans.(d)
Sol. 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


Important Note:

To receive the fastest updates on Bank Exams like SBI, IBPS, RBI, IPPB, etc. as well as all other ongoing as well as forthcoming exams, kindly subscribe to our website. All you have to do is enter your email in the pop-up that appears on the website when you first enter it on the home page. Once you’re subscribed, you will receive all the latest updates concerning all competitive exams.

Friday, 17 March 2017



Dear Aspirants,

We have introduced  "the 45 days study plan to crack SBI PO Prelims Exam 2017". This plan is specifically dedicated to Quantitative Aptitude, English Language & Reasoning  and cover all types of questions asked in Bank PO exams. This will help you to prepare in a more efficient and systematic way. So, follow this post to keep updated with the plan.


Q1. Half the girls and one-third of the boys of a college reside in the hostel. What fractional part of the student body is hostel dwellers if the total number of girls in the college is 100 and is one-fourth of the total strength?   
(a) Two-fifths 
(b) Five-twelfths 
(c) One-fifth 
(d) Three-eights 
(e) None of these

Q2. 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? 
(a) Rs. 100, Rs. 125
(b) Rs. 200, Rs. 250
(c) Rs. 300, Rs. 375 
(d) Rs. 400, Rs. 500 
(e) None of these

Q3. When a bus started from the first stop, the number of male passengers to the number of female passengers was 3 : 1. At the second stop, 16 passengers got down and 6 more female passengers got in. The ratio of the male to female passengers now become 2 :1. What was the total number of passengers in the bus when it started from the first stop?
(a) 64
(b) 48
(c) 54
(d) 72
(e) 80

Q4. X’s income is three-fourths of Y’s income, and X’s expenditure is fourth-fifths of Y’s expenditure.  If X’s income is nine-tenths of Y’s expenditure, find the ratio of X’s savings to Y’s savings.  
(a) 1 : 2
(b) 2 : 1
(c) 1 :4
(d) 2 : 3
(e) None of these

Q5. Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person’s speed to that of 1st escalator is 2 : 3 (steps). The ratio of 2nd person’s speed of that of 2nd escalator is 3 : 5 (steps). Find the total number of steps they both have taken together.
(a) 85 
(b) 93
(c) 80
(d) 75
(e) None of these

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:  
(a) 4 : 1
(b) 2 : 1
(c) 1 : 4
(d) 1 : 2
(e) None of these

Q7. Two companies A and B quote for a tender. On the tender opening day, A realizes that the two quotes are in the ratio 7 : 4 and hence decreases it price during negotiations to make it Rs. 1 lakh lower than B’s quoted price. B then realises that the final quotes of the two were in the ratio 3 :4. By how much did A decrease its price in order to win the bid?   
(a) Rs. 7 lakhs 
(b) Rs. 4 lakhs 
(c) Rs. 9 lakhs 
(d) Rs. 8 lakhs 
(e) None of these

Q8. 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?  
(a) 2/5
(b) 3/7
(c) 2/7
(d) 3/8
(e) None of these

Q9. 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.). 
(a) 12, 10, 8
(b) 180, 150, 120
(c) 120, 150,160 
(d) 60, 75, 80
(e) None of these

Q10. The ratio between the number of passengers travelling by I and II class between the two railway stations is 1 : 50, whereas the ratio of I and II class fares between  the same stations is 3 : 1. If on a particular day, Rs. 1325 were collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers? 
(a) Rs. 750
(b) Rs. 850
(c) Rs. 1000
(d) Rs. 1250 
(e) None of these

Q11. Fresh grapes contain 90 per cent water by weight while dried grapes contain 20 per cent water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes? 
(a) 2 kg 
(b) 2.4 kg 
(c) 2.5 kg 
(d) 3 kg
(e) None of these

Q12. In a certain company, the ratio of the number of managers to the number of production-line workers is 5 to 72. If 8 additional production-line workers were to be hired, the ratio of the number of managers to the production-line workers would be 5 to 74. How many managers does the company have?  
(a) 10
(b) 20
(c) 30
(d) 25
(e) None of these

Q13. 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?  
(a) Rs. 15,000
(b) Rs. 13,000
(c) Rs. 17,000
(d) Rs. 16,000
(e) None of these

Q14. 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.
(a) 90
(b) 85
(c) 100
(d) 105
(e) None of these

Q15. The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1 : 2 : 3 : 4. When the pieces were sold, the merchant got Rs. 70,000 less. Find the original price of the diamond. 
(a) Rs 1.4 lakhs 
(b) Rs 2 lakhs 
(c) Rs. 1 lakhs
(d) Rs. 2.1 lakhs 
(e) None of these

Solutions

S1. Ans.(d)
Sol. Number of girls = 100
∴ Number of boys = 300 
∴ Number of hostel dwellers = 50 + 100 = 150 
⇒ Required ratio = 150 : 400 
=3∶8=3/8 

S2. Ans.(d)
Sol. 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. 

S3. Ans.(a)
Sol. Let, initially, the number of males and females in the bus be 3x and x respectively. 
At the first stop, suppose m males and f females left the bus. 
∴ At the first stop: Number of the males is 3x - m 
And number of females 
 
∴ f = 4, x = 16 
∴ Total number of passengers in the beginning 
= 4x = 64 
For no other value of f any of the other alternatives holds good.  

S4. Ans.(a)
Sol. Let X’s income be 3k then Y’s income is 4k. Let X’s expenditure be 4g then Y’s expenditure is 5g. 

 

S6. Ans.(c)
Sol. 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 

S7. Ans.(b)
Sol. Let the quotes of A and B be 7X and 4X, respectively. 
After decreasing, quotes of A = 4x - 1 
Then, we are given 
 
⇒ X = 1
Then, decreasing by A = 7X - (4X - 1) 
= 3x + 1 = 3 + 1
= Rs. 4 lakhs 

S8. Ans.(c)
Sol. 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 

S9. Ans.(a)
Sol. 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 

S10. Ans.(d)
Sol. Ratio of the amount collected from the 1st class and the 2nd class passengers = 3 : 50 
∴ Amount collected from the 2nd class passengers 
=50/53×1325 = Rs. 1250.

S12. Ans.(b)
Sol. According to question, 
5x/(72x + 8)=5/74 
⇒ x = 4 
Managers = 5 × 4 = 20 

S13. Ans.(b)
Sol. 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
S14. Ans.(d)
Sol. 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



Important Note:

To receive the fastest updates on Bank Exams like SBI, IBPS, RBI, IPPB, etc. as well as all other ongoing as well as forthcoming exams, kindly subscribe to our website. All you have to do is enter your email in the pop-up that appears on the website when you first enter it on the home page. Once you’re subscribed, you will receive all the latest updates concerning all competitive exams.

Popular Posts