Showing posts with label averages. Show all posts
Showing posts with label averages. Show all posts

Thursday, 7 September 2017


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. 

Thursday, 6 April 2017


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Q1.Raju got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Raju’s sister was 10 years younger to him at the time of his marriage. The age of Raju’s sister is:
(a) 32 years
(b)36 years
(c)38 years
(d)40 years
(e) None of these

Q2.The sum of the age of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
(a) 4 years
(b) 8 years
(c) 10 years
(d) 12 years
(e) None of these

Q3.Anita’s father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
(a) 2 years
(b) 4 years
(c) 6 years
(d) 8 years
(e) None of these

Q4.My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then, what was the age of my father and mother respectively when my brother was born?
(a) 32 yrs, 23 yrs
(b) 32 yrs, 29 yrs
(c) 35 yrs, 29 yrs
(d) 35 yrs, 33 yrs
(e) None of these

Q5.Raman borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
(a) Rs. 8000
(b) Rs. 10,000
(c) Rs. 12,000
(d) Data inadequate
(e)None of these

Q6.A man invests a certain sum of money at 6% p.a. simple interest and another sum at 7% p.a. simple interest. His income from interest after 2 years was Rs. 354. One-fourth of the first sum is equal to one-fifth of the second sum. The total sum invested was:
(a) Rs. 2600
(b) Rs. 2700
(c) Rs. 2880
(d) Rs. 2900
(e) None of these

Q7.Peter invested an amount of Rs. 12,000 at the rate of 10 p.c.p.a. simple interest and another amount at the rate of 20 p.c.p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14 p.c.p.a. Find the total amount invested.
(a) Rs. 20,000
(b) Rs. 22,000
(c) Rs. 24,000
(d) Rs. 25,000
(e)None of these

Q8.An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and the second, 11% p.a. If the total interest at the end of one year is 9.75%, then the amount invested in each share was:
(a) Rs. 52,500; Rs. 47,500
(b) Rs. 62,500; Rs. 37,500
(c) Rs. 72,500; Rs. 27,500
(d) Rs. 82,500; Rs. 17,500
(e) None of these

Q9. David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B?
(a) Rs. 5000
(b) Rs. 6500
(c) Rs. 8000
(d)Cannot be determined
(e)None of these

Q10.A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is
(a) Rs. 120
(b) Rs. 121
(c) Rs. 122
(d) Rs. 123
(e) None of these

Q11.There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?
(a) Rs. 2160
(b) Rs. 3120
(c) Rs. 6240
(d) Rs. 6150
(e) None of these

Q12.The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:
(a) Rs. 400
(b) Rs. 500
(c) Rs. 600
(d)Rs. 800
(e) None of these

Q13.A person lent out a certain sum on simple interest and the same sum on compound interest at a certain rate of interest per annum. He noticed that the ratio between the difference of compound interest and simple interest of 3 years and that of 2 years is 25 : 8. The rate of interest per annum is:
(a) 10%
(b) 11%
(c) 12%
(d)121/2%
(e) None of these

Q14.A man borrows Rs. 12,500 at 20% compound interest. At the end of every year he pays Rs. 2000 as part repayment. How much does he still owe after three such instalments?
(a) Rs. 12,000
(b) Rs. 12,864
(c) Rs. 15,600
(d) Rs. 14,600
(e) None of these

Q15.A sum of money invested at compound interest amounts to Rs. 4624 in 2 years and to Rs. 4913 in 3 years. The sum of money is:
(a) Rs. 4096
(b) Rs. 4260
(c) Rs. 4335
(d) Rs. 4360
(e) None of these

Solution :






 S4. Ans.(a)
Sol. Clearly, my brother was born 3 years before I was born & after 4 years, my sister was born.
So, father’s age when brother was born = 28 + 4 = 32 years
Mother’s age when brother was born = 26 – 3 = 23 years
























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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)

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