Ratio & Proportion for IBPS Clerk Prelims 2017 (DAY-22)

Q1. Three numbers A, B and C are in the ratio of 12 : 15 : 25. If sum of these numbers is 312, find the ratio between the difference of B and A and the difference of C and B.  

(a) 3 : 7

(b) 10 : 3

(c) 3 : 10 

(d) 7 : 3

(e) None of these 

Q2. If A : B = 3/4, B : C = 4/5, C : D = 5/6, then A : D will be: 

(a) 2 : 3

(b) 4 : 3

(c) 1 : 2

(d) 2 : 1

(e) None of these  

S2. Ans.(c)

Sol. A : B = 3 : 4, B : C = 4 : 5, C : D = 5 : 6

∴A∶B∶C∶D= 3 : 4 : 5 : 6.

Thus, A : D = 3 : 6 or, 1 : 2. 

Q3.  The ratio of present ages of Suresh and Mahesh is 7 : 5. If after 6 years their ages will be in the ratio of 4 : 3, the present age of Mahesh is:  

(a) 32 years 

(b) 36 years 

(c) 30 years 

(d) 35 years

(e) None of these 

Q4. In a mixture of 60 litres, the ratio of milk and water is 2 : 1. What amount of water must be added to make the ratio of milk and water as 1 : 2?

(a) 75 litres 

(b) 55 litres 

(c) 60 litres 

(d) 65 litres 

(e) None of these 

S4. Ans.(c)

Sol. Here, milk = 40, water = 20

Let x litres of water is added

(20+x)/(60+x) = 2/3

x = 60 litres 

Q5. Mixture of milk and water has been kept in two separate containers. Ratio of milk to water in one of the containers is 5 : 1 and that in the other container 7 : 2. In what ratio the mixtures of these two containers should be added together so that the quantity of milk in the new mixture may become 80%? 

(a) 2 : 3

(b) 3 : 2

(c) 4 : 5 

(d) 1 : 3 

 (e) None of these 

Q6. Seven men, five women and eight children were given as assignment of distributing 2000 books to students in a school over a period of three days. All of them distributed books on the first day. One of the second day two women and three children remained absent and on the third day three men and five children remained absent. If the ratio of the number of books distributed in a day by a man, a woman and a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day?  

(a) 1000

(b) 800

(c) 650

(d) 900

(e) Cannot be determined 

S6. Ans.(c)

Sol. Let the books distributed by man, a woman and a child be 5x, 4x and 2x respectively. 

∴ No. of books distributed in 1st day 

= 7×5x+5×4x+8×2x=71x 

No. of books distributed in 1Ind day 

=7×5x+3×4x+5×2x=57x  

And no. of books distributed in IIIrd day 

=4×5x+5×4x+3×2x=46x 

71x + 57x + 46x = 2000, x = 2000/174 

57x=2000/174×57=650 (Approx.) 

Q7. A sum of money is divided among A, B, C and D in the ratio 3 : 5 : 8 : 9 respectively. If the share of D Rs. 1,872 more than the share of A, then what is the total amount of money of B & C together? 

(a) Rs. 4,156 

(b) Rs. 4,165

(c) Rs.4,056 

(d) Rs. 4,065

(e) None of these 

Q8. The ratio of the incomes of two persons is 5 : 3 and that of their expenditure is 9 : 5. If they save Rs. 2600 and Rs. 1800 respectively, then their incomes are:

(a) Rs. 8000, Rs. 4800

(b) Rs. 6000, Rs. 3600

(c) Rs. 10000, Rs.60000

(d) Rs. 9000, Rs. 5400

(e) None of these 

Q9. A bag contains one rupee, 50 paise and 25 paise coins in the ratio 2 : 3 : 5. Their total value is Rs. 144. The value of 50-paise coins is:   

(a) Rs. 24

(b) Rs. 36

(c) Rs. 48

(d) Rs. 72 

(e) None of these 

S9. Ans.(b) 

Sol. Let the number of one-rupee coins, 50-paise coins and 25-paise coins be 2k, 3k and 5k, respectively. 

∴ 2k × 1 + 3k × 0.50 + 5k × 0.25 = 114 

⇒ 2k + 1.50k + 1.25k = 114 

⇒ 4.75k = 114

⇒ k = 24. 

50 paise value = 1.5x = 1.5*24 = 36

Q10. Two numbers are in the ratio 1(1/2) ∶2(2/3). When each of these is increased by 15, they become in the ratio 1(2/3) ∶2(1/2). The greater of the numbers is:  

(a) 27

(b) 36

(c) 48

(d) 64

(e) None of these 

Q11. Determine the ratio of the number of people having characteristic X to the number of people having characteristic Y in a population of 100 subjects from the following table: 

Having X and Y - 10

Having X but not Y - 30

Having Y but not X - 20

Having neither X nor Y - 40 

(a) 4 : 3  

(b) 3 : 2

(c) 1 : 2

(d) 2 : 3 

(e) None of these 

S11. Ans.(a)

Sol. Number of people having characteristic X

= 10 + 30 = 40

Number of people having characteristic Y 

= 10 + 20 = 30 

Required ratio = 40 : 30 = 4 : 3  

Q12. The incomes of A, B and C are in the ratio 7 : 9 : 12 and their spending are in the ratio 8 : 9 : 15. If A saves one-fourth of his income, then the savings of A, B and C are in the ratio of:  

(a) 69 : 56 : 48

(b) 47 : 74 : 99 

(c) 37 : 72 : 49 

(d) 56 : 99 : 69 

(e) None of these 

Q13. The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increase is:  

(a) 95

(b) 76

(c) 100

(d) 114 

(e) None of these 

S13. Ans.(b)

Sol. Let the original number of students be 4x, 6x and 9x. 

Now, according to the question, 

(4x + 12)/(6x + 12)=7/9 

⇒ 42x + 84 = 36x + 108 

⇒ 42x – 36x = 108 – 84 

⇒ 6x = 24 

⇒ x = 4 

∴ Required number of students = 4x + 6x + 9x = 19x = 19 × 4 = 76   

Q14. When X is subtracted from the numbers 9, 15 and 27, then remainders are in the continued proportion. What is the value of X?

(a) 8

(b) 6

(c) 4

(d) 5

(e) None of these

S14. Ans.(e)

Sol. Let x be subtracted from the numbers 9, 15 and 27 we get continue proportion.

Now, (9 – x) : (15 – x) : (27– x) 

∴ b^2=ac 

⇒ (15-x)^2=(9-x)(27-x) 

Or, 225 – 30x +x^2=243+x^2-36x 

Or 6x = 243 – 225 = 18 

∴ x = 3 

Hence, number become 9 – x = 9 – 3 = 6 

15 – x = 15 – 3 = 12 

And, 27 – x = 27 – 3 = 24 

∴ 6 : 12 : 24 = 1 : 2 : 4 

Q15. A certain amount was to be distributed among A, B and C in the ratio 2 : 3 : 4, but was erroneously distributed in the ratio 7 : 2 : 5. As a result of this, B received Rs. 40 less. What is the actual amount? 

(a) Rs. 210

(b) Rs. 270

(c) Rs. 230

(d) Rs. 280

(e) None of these 

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Ratio & Proportion for IBPS Clerk Prelims 2017 (DAY-5)

1. 28% members of a group is unmarried. What is the ratio between married and unmarried members respectively?

a. 7:17                   b. 5:18

c. 7:18                    d. can’t be determined

e. None

2. Average of five members is 49. Average of first and second is 48 and average of fourth & fifth is 28. What is third number?

a. 92                       b. 91

c. 95                       d. can’t be determined

e. None

3. New fraction formed by increasing numerator by 200%

And denominator by 150% is 9/10. Find original fraction?

a. 3/4                      b. 1/4

c. 2/5                      d. 4/5

e. None

4. Which is the biggest fraction in 9/31, 3/17, 6/23, 4/11 & 7/25?

a. 9/31                   b. 3/17

c. 6/23                    d. 4/11

e. None

5. 25/2% of first number is equal to 1/32 of second number. What is the ratio between first & second number respectively?

a. 4:1                                      b. 1:4

c. 25/4 : 7/3                          d. 2:9

e. None

6. Find average of following score?

566, 455, 231, 678, 989, 342, 715

a. 590                     b. 555

c. 568                     d. 513

e. None

7. A, B, C, D, E are five consequent odd numbers. Average of third & fifth number is 59. Find square of first number?

a. 2601                  b. 2704

c. 53                       d. 2809

e. None

8. Find second biggest fraction in 3/7, 4/9, 6/11, 8/13 & 7/13?

a. 3/7                      b. 4/9

c. 6/11                    d. 8/13

e. None

9. If following fractions arranged in ascending order from left to right then which fraction will be 2^nd from left?

a. 3/13                   b. 4/7

c. 9/11                    d. 5/12

e. 5/8

10. If a numerator of a fraction increased by 200% and denominator increased by 300% then resultants ratio is 9/20. What is original fraction?

a. 3/7                      b. 4/5

c. 3/5                      d. 4/7

e. None

11. Total of five consecutive odd numbers is 595. Find the total of 2^nd largest number and double of smallest number?

a. 355                     b. 351

c. 357                     d. 353

e. None

12. Ratio between girls & boys in a class is 9:11. What is % of girls in this class?

a. 35                       b. 55

c. 45                       d. Can’t be determined

e. None

13. Average height of 4 girls is 150cm. Average height of three girls, out of four girls is 148cm then find the height of 4^th girl?

a. 156                     b. 675

c. 621                     d. 525

e. None

14. Ratio of monthly salary of Sarita, Teena and Arti is 95:110:116 respectively. If annual salary of Sarita is Rs 342000 then what will be annual salary of Arti?

a. Rs 386000                        b. Rs 463500

c. Rs387000                         d. Rs 417600

e. None

15. Average of four consequent odd numbers A, B, C & D is 24. Find product of B & D?

a. 483                     b. 675

c. 621                     d. 621

e. 525

16. Average of these eight numbers is 474 then find the value of x?

   533, 128, 429, 225, x, 305, 609, 804

a. 767                     b. 783

c. 776                     d. 658

e. None

17. Average of five cubic numbers is 470. First two numbers average is 720 and average of last two numbers is 150. What is third number?

a. 610                     b. 600

c. 510                     d. 500

e. None

18. Average weight of 40 students of class in 55 kg. Out of 40, six students leave the class whose average weight was 52kg and six students having average weight of 42 kg joins the class. What is new average weight of class?

a. 54.25                 b. 52.75

c. 53.5                    d. 54

e. 53

19.  A certain amount is divided between Ram and Mohan in ratio of 14:9 respectively. Ram gets Rs 3265 more than Mohan, find total amount?

a. 15019                                b. 15109

c. 16019                                d. 10619

e. None

20. Two numbers are respectively 20% and 50% more than a third number. The ratio of two number is:

a. 4:5                      b. 5:4

c. 3:5                      d. 5:3

e. None

21. A person ordered 4 shirts of brand A and some shirts of brand B. The price of one shirt of brand A was twice that of brand B. When the order was executed, it was found that number of the shirts of brand has been interchanged. That increased the bill by 40%. The ratio of the number of brand A shirts to B shirts in the original order was?

a. 3:1                      b. 1:3

c. 4:3                      d. 3:5

e. None

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Revision Test - 02 For IBPS PO / Clerk 2017 (in Hindi / English)

1. रवि के तीन बच्चे हैं: दो बेटियां और एक बेटा सभी का जन्म अलग-अलग वर्षों में उसी तिथि पर हुआ था। आज दो बेटियों की उम्र का योग आज पुत्र की उम्र से छोटा है, लेकिन अब से एक वर्ष बाद बेटियों की उम्र का योग पुत्र की उम्र के बराबर होगा,  आज से तीन साल बाद, बेटे की उम्र और बेटियों की संयुक्त आयु के बीच का अंतर होगा?

A. 1                  B. 2

C. 3                  D. –2

E. –1

1. Ravi has three children: two daughters and one son. All were born on the same date in different years. The sum of the ages of the two daughters today is smaller than the age of the son today, but a year from now the sum of the ages of the daughters will equal the age of the son. Three years from today, the difference between the age of the son and the combined ages of the daughters will be

A. 1                         B. 2

C. 3                         D. –2

E. –1

2. लीना की उम्र गायत्री की उम्र के दो गुना से 5 साल अधिक है विजय की उम्र गायत्री की उम्र के 10 गुना से 13 साल कम है। यदि विजय की आय गायत्री की आय से 3 गुना है, तो लीना की उम्र क्या है?

A. 17                      B. 16

C. 12                      D. 14

E. 19

2. Leena’s age is 5 years more than twice Gayathri’s age. Vijay’s age is 13 years less than 10 times Gayathri’s age. If Vijay is 3 times as old as Leena, how old is Leena?

A. 17                      B. 16

C. 12                      D. 14

E. 19

3. 8 साल पहले, गीता सायना से आधी उम्र की थी, साइना अब गीता से 20 साल बड़ी है। 10 साल बाद गीता की उम्र कितनी थी?

A. 45                                      B. 40

C. 35                                      D. 38

E. None of the Above

3. 8 years ago, Geeta was half as old as Saina. Saina is now 20 years older than Geeta. How old will Geeta be in 10 years?

A. 45                                      B. 40

C. 35                                      D. 38

E. None of the Above

4. लिली मार्टिन से 5 साल बड़ी है, और कैथरीन की लिली से दुगनी आयु है। अगर उनकी उम्र का योग 95 है, तो लिली की आयु क्या है?

A. 26                      B. 27

C. 28                      D. 25

E. None of these

4. Lilly is 5 years older than Martin, and Catherine is twice as old as Lilly. If the sum of their ages is 95, how old is Lilly?

A. 26                      B. 27

C. 28                      D. 25

E. None of these

5. अरुण तीन साल में लिली की आयु की आधी होगी अरुण भी 5 वर्षों में जेम्स की आयु के एक तिहाई होगी,  यदि जेम्स लिली से 15 वर्ष बड़ा है, तो अरुण कितने साल का है है?

A. 6                         B. 8

C. 9                         D. 5

E. 4

5. Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?

A. 6                         B. 8

C. 9                         D. 5

E. 4

6. एक कंपनी में सभी कर्मचारियों की औसत आय 20000 रुपये प्रति माह है, हाल ही में कंपनी ने 2000 रु की वृद्धि की घोषणा की सभी कर्मचारियों के लिए प्रति माह सभी कर्मचारियों की नई औसत क्या आय है?

A. 22000               B. 24000

C. 28000               D. 26000

E. None of these

6. In a Company the average income of all the employees is Rs. 20000 per month. Recently the company announced increment of Rs. 2000 per month for all the employees. The new average income of all the employees is?

A. 22000               B. 24000

C. 28000               D. 26000

E. None of these

7. जनवरी से जून तक शर्मा का औसत व्यय 4200 रुपये है और उन्होंने जनवरी में 1200 और जुलाई में 1500 रुपये खर्च किए। फरवरी से जुलाई तक के महीनों के लिए औसत व्यय:

A. 2750                  B. 3250

C. 4250                  D. 4500

E. 3500

7. The average expenditure of Sharma for the January to June is Rs.4200 and he spent Rs.1200 in January and  Rs.1500 in July. The average expenditure for the months of February to July is:

A. 2750                  B. 3250

C. 4250                  D. 4500

E. 3500

8. सीएसके के सभी 11 खिलाड़ियों का औसत वजन 50 किलो है। अगर सीएसके के पहले छह हल्के वजन वाले खिलाड़ियों की औसत 49 किलोग्राम है और सीएसके के छह सबसे भारी खिलाड़ियों की औसत वजन 52 किलोग्राम है, उस खिलाड़ी का औसत वजन जो खिलाड़ियों की सूची में छठे स्थान पर स्थित है, जब सीएसके के सभी 11 खिलाड़ियों को वजन बढ़ाने या घटाने के क्रम में व्यवस्थित किया जाता है।

A. 54 kg                 B. 50 kg

C. 53 kg                 D. 56 kg

E. 52 kg

8. The average weight of all the 11 players of CSK is 50 kg. If the average of first six lightest weight players of CSK is 49 kg and that of the six heaviest players of CSK is 52 kg. The average weight of the player which lies in the sixth position in the list of players when all the 11 players of CSK are arranged in the order of increasing or decreasing weights.

A. 54 kg                 B. 50 kg

C. 53 kg                 D. 56 kg

E. 52 kg

9. सोमवार, मंगलवार और बुधवार को एक कॉलेज में कक्षा के छात्रों की औसत उपस्थिति 32 है और बुधवार, गुरुवार, शुक्रवार और शनिवार को 30 है। यदि सभी छह दिनों के छात्रों की औसत संख्या 26 है तो छात्रों की संख्या जो बुधवार की कक्षा में भाग लेते हैं?

A. 50                      B. 40

C. 60                      D. 70

E. 80

9. The average presence of students of a class in a College on Monday, Tuesday and Wednesday is 32 and on the Wednesday, Thursday, Friday and Saturday is 30. if the average number of students on all the six days is 26 then the number of students who attended the class on Wednesday is?

A. 50                      B. 40

C. 60                      D. 70

E. 80

10. अरुण, बाला और चित्रा की औसत आय 12,000 रु। प्रति माह । और बाला, चित्र और डेविड की औसत आय 15,000  रुपये प्रति माह है। अगर डेविड का औसत वेतन अरुण से दो गुना है, तो बाला और चित्रा का औसत वेतन रुपये में है?

A. 15,000                              B. 20,000

C. 14500                               D. 13500

E. None of these

10. The average income of Arun, Bala and Chitra is Rs. 12,000 per month and average income of Bala, Chitra and David is Rs. 15,000 per month. If the average salary of David be twice that of Arun, then the average salary of Bala and Chitra is in Rs?

A. 15,000                              B. 20,000

C. 14500                               D. 13500

E. None of these

11. 3: 7: 12 के अनुपात में P, Q और R के बीच किसी राशि का विभाजन किया जाता है अगर P और Q के राशि में अंतर X रुपये है, और Q और R के राशि के बीच अंतर 3000 रुपये है। कुल राशि का पता लगाएं?

A.11000                                B.12400

C.13200                                D.14300

E. None of these

11. An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs X, and the difference between Q and R’s share is Rs.3000. Find the total amount of money?

A.11000                B.12400

C.13200                D.14300

E. None of these

12. स्कूल में गणित, विज्ञान और कला के लिए सीटें अनुपात 5: 7: 8 में हैं इन सीटें को क्रमशः X%, Y% और Z% में बढ़ाने का प्रस्ताव है। और बढ़ी हुई सीटों का अनुपात 2: 3: 4 है, निम्नलिखित में से कौन सा सच है?

A.X = 50; Z = 40                  B.Y = 40; Z = 50

C.X = 40; Z = 75                  D.X = 50; Z = 40

E.Y = 50; X = 75

12. Seats for Mathematics, Science and arts in a school are in the ratio 5:7:8. There is a proposal to increase these seats by X%, Y% and Z% respectively. And the ratio of increased seats is 2:3:4, which of the following is true?

A.X = 50; Z = 40               B.Y = 40; Z = 50

C.X = 40; Z = 75               D.X = 50; Z = 40

E.Y = 50; X = 75

13. लड़कों और लड़कियों के बीच 4880 रुपये का योग इस तरह से विभाजित किया गया था कि प्रत्येक लड़के को 46.50 रुपये और प्रत्येक लड़की को 5,5.25 रुपये मिलते हैं। अगर लड़कियों और लड़कों की कुल संख्या 100 है, तो लड़कियों की संख्या क्या है?

A.60                           B.50

C.40                           D.30

E.None of these

13. A sum of Rs.4880 was divided among boys and girls in such a way that each boy gets Rs.44.50 and each girl get Rs.55.25. If the total number of girls and boys is 100, find the number of girls?

A.60                       B.50

C.40                       D.30

E .None of these

14. विनय और प्रकाश की आय 4: 5 के अनुपात में है और उनका व्यय 2: 3 के अनुपात में है। यदि उनमें से प्रत्येक 5000 बचाता है, तो उनकी आय बताएं ?

A.11000, 8550                     B.12000, 7750

C.15000, 8750                     D.13000, 9780

E. None of these

14. The income of Vinay and Prakash are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves 5000, then find their income.

A.11000, 8550     B.12000, 7750

C.15000, 8750     D.13000, 9780

E. None of these

15. एक बैग में 25p सिक्के, 50p सिक्के और 1 रुपए के सिक्के हैं, जिनका मूल्य 8: 4: 2 के अनुपात में हैं। यदि सिक्कों की कुल मूल्य X है और रुपये में कुल राशि Y है, तो निम्न में से कौन सा सत्य है?

A.X = 840; Y = 260             B.X = 966; Y = 345

C.X = 840; Y = 280             D.X = 740; Y = 260

E. None of these

15. A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins is X and the total amount in rupees is Y, then which of the following is true

A.X = 840; Y = 260             B.X = 966; Y = 345

C.X = 840; Y = 280             D.X = 740; Y = 260

E. None of these

Directions (16-30): In the following question, two equations numbered I and II are given. You have to solve both the equations and give answer:

a. x>y

b. x≥y

c. x<y

d. x≤y

e. x=y or the relationship can’t be established

16) I. 5x² = 3x²

      II. y³×14 = 294+y³

17) I. 2x² + 21 = 17x

      II. y² + √3136 = 15y

18) I. x² -11x + 24 = 0

      II. 2y² -9y + 9 = 0

19) I. x² - 4 = 0

      II. y² + 6y + 9 = 0

20) I. (35/x³) - (11/x²) - (13/x³) = 0

      II. √5²-3² = y

21) I. 4X² + 5 = 9X

      II. 8Y² + 15 = 22Y

22) I. 2X² + 6 = 7X

      II. Y² = 4

23) I. 2X² + 15X + 18 = 0

      II. 3Y² + 7Y + 4 = 0

24) I. 17x² + 48x = 9

      II. 13y² = 32y – 12

25) I. 4x + 7y = 209

      II. 12x – 14y = –38

26) I. 8x² + 20x + 8 = 0

      II. 5y² + 11y + 6 = 0

27) I. 3x² - 13x +14 = 0

      II. 28y² + 11y + 1 = 0

28) I. 8x² - 78x + 169 = 0

      II. 20y² - 117y + 169 = 0

29) I. 12x² + 11x + 12 = 10x² + 22x

      II. 13y² – 18y + 3 = 9y² – 10y

30) I. x² - 208 = 233

      II. y² + 47 - 371 = 0

Batch for IBPS PO/Clerk & RRB NTPC 2017 Starts From 11th September 2017. For Any Query Call :

9828097824.




Answers:
1. d
2. e
3. d
4. d
5. b
6. a
7. c
8. d
9. c
10. d
11. c
12. b
13. c
14. e
15. c
16. c
17. d
18. b
19. a
20. a
21. d
22. e
23. c
24. c
25. e
26. e
27. a
28. b
29. b
30. 

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