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Daily GK Updates - 14th Oct 2014

Tuesday, October 14, 2014 / No Comments

Welcome to ourindiajobs.com. Daily GK Updates will helps you to crack your online bank exams. Success comes from confidence. Go ahead with confidence, win the race and achieve your target. All the best for test.

1. Khaled Bahah new PM of Yemen

i. In Yemen, President Mansour Hadi has named country’s envoy to UN, Khaled Bahah as the next Prime Minister. He was among the three names proposed by the Houthi rebels to end the political standoff in the country.
ii. The rebel group has welcomed the move and said his appointment will help the country overcome the difficulties it is going through. He has earlier served as Yemen’s oil minister before being named as Yemen’s envoy to the United Nations.

2. PM announces interim assistance of Rs 1000 crore for AP

i. Prime Minister Narendra Modi on Tuesday announced an interim assistance of Rs 1,000 crore for Andhra Pradesh to take up immediate relief work in the aftermath of the devastation caused by Cyclone 'Hudhud'.
ii. He also announced an ex-gratia of Rs two lakh to the next of kin of those killed in the cyclone and Rs 50,000 to the injured.
Iii. The Prime Minister said the Meteorological Department had correctly forecast from October six itself the different aspects of the cyclone like its velocity, direction and time, leveraging the power of technology.

3. Global Hunger Index Report 2014 released: India Ranked at 55th Position

i. The 2014 Global Hunger Index (GHI) was released by the International Food Policy Research Institute (IFPRI), Welthungerhilfe and Concern Worldwide.
ii. It revealed that two billion people were suffering from hidden hunger even though the levels of hunger in many developing countries decreased.
iii. The 2014 GHI was calculated for 120 developing countries and countries in transition, 55 of which have a serious or worse hunger situation.
iv. India improved its position in the Global Hunger Index in 2014 as it climbed to 55th position among 76 emerging economies from 63rd position in 2013. Though, it is still trailing behind countries like Thailand, China, Ghana, Iraq, Sri Lanka and Nepal.

4. Ajay Jayaram won Dutch Open Grand Prix badminton tournament

i. Indian shuttler, Ajay Jayaram won the 50000 dollar Dutch Open Grand Prix badminton tournament on 12 October 2014.
ii. In the title clash played at the Topsportcentrum Almere in Netherlands, Jayaram defeated Indonesia’s Ihsan Maulana Mustofa 10-11, 11-6, 11-7, 1-11, 11-9.
iii. This was maiden GP title for Jayaram and with this win, he also became the first Indian to win badminton Grand Prix tournament under the new 11x5 scoring system.

5. Mary Kom voted as India's Most Valuable Player in Asian Games 2014

i. Olympic bronze medalist MC Mary Kom on 13 October 2014 was chosen as the Most Valuable Player (MVP) of India’s Incheon Asian Games campaign at a felicitation of the medal winners by contingent sponsors, Samsung India.
ii. Kom, the first Indian woman boxer to win a gold medal in Asian Games was named as the MVP in a poll conducted by Samsung.
iii. After topping the list, the gold medalist in the 2014 Incheon Games in flyweight (-51kg) class, Mary Kom received 10 lakh rupees.

6. Lyricist Sameer honoured with Kishore Kumar Award for 2012-13

i. Noted lyricist Sameer was honoured with the National Kishore Kumar Award for 2012-13. He was awarded during a function at the legendary singer's birth place Khandwa in Madhya Pradesh.
ii. The award was handed over to Sameer by Madhya Pradesh Food and Civil Supplies Minister Kunwar Vijay Shah.

7. JP Morgan cut India 2014-15 growth forecast to 5.1 percent from 5.3 percent

i. JP Morgan on 10 October 2014 cut its India GDP growth projection for 2014-15 to 5.1 percent from 5.3 percent.
ii. JP Morgan cited that the industrial output of India in August 2014 rose to 0.4 percent compared to the estimation it was very low.
iii. The Reserve Bank of India projects GDP to grow at around 5.5 percent in the current fiscal year ending March 2015.

Reasoning Quiz - IX

Monday, October 13, 2014 / No Comments

Welcome to ourindiajobs.com online test on reasoning. Reasoning tests will helps you to crack your online bank exams. This material on reasoning will be covered with all topics. Little bit of concentration and hard work may do this online test on reasoning. Practice more tests on reasoning it will helps you to manage time. Success comes from confidence. Go ahead with confidence, win the race and achieve your target. All the best for test.

Directions (1-5): Study the following information to answer the questions given below it:

I. A, B, C, D, E, F and G are seven members of a family.
II. There are two Doctors, two Teachers, two Professors and one Lawyer.
III. No lady is either Teacher or Lawyer.
IV. Teacher's wife is a Professor and Lawyer's wife is also a Professor.
V. C is the daughter-in-law of F and mother of E.
VI. B, a Doctor, is son of G, and E, who is not a Professor, is the daughter of Lawyer.
VII. A's husband is a Teacher and A is the mother-in-law of C and grandmother of B.
VIII. F is the grandfather of B and D.

1. All the family members belong to how many generations?
(1) Four
(2) Two
(3) Either two or three
(4) Cannot be determined
(5) None of these

2. Which of the following is one of the married couple?
(1) GC
(2) FC
(3) GA
(4) Cannot be determined
(5) None of these

3. How is D related to A?
(1) Granddaughter
(2) Son
(3) Grandson
(4) Cannot be determined
(5) None of these

4. What is C to D?
(1) Daughter-in-law
(2) Son-in-law
(3) Daughter
(4) Cannot be determined
(5) None of These

5. How many female members are there in the family?
(1) Two
(2) Three
(3) Four
(4) Cannot be determined
(5) None of These

Directions (6-10): In the questions given below, certain symbols are used with the following meanings:
P # Q means P is neither equal to nor smaller than Q.
P % Q means P is not smaller than Q
P $ Q means P is neither greater nor smaller than Q.
P & Q means P is neither greater than nor equal to Q
P @ Q means P is not greater than Q.
Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and ii given below them is / are definitely true. Give answer
(1) If only conclusion I is true
(2) If only conclusion II is true.
(3) If either conclusion I or II is true.
(4) If neither conclusion I and II are true.
(5) If both conclusions I and II are true.

6. Statements: T % U, Q @ R, R & U
Conclusions:
I. T # Q
II. R @ T

7. Statements: Q & T, W # X, Q % X
Conclusions:
I. W $ Q
II. X & T

8. Statements: Y $ Z, B # A, Y & A
Conclusions:
I. A # Z
II. Y & B

9. Statements: K # L, N @ O, L $ O
Conclusions:
I. L # N
II. N $ L

10. Statements: P % Q, Q $ R, R # S, S & T
Conclusions:
I. R # P
II. R $ P

ANSWERS

1. 5
2. 1
3. 3
4. 5
5. 2
6. 1
7. 2
8. 5
9. 3
10. 4

Quantitative Aptitude Quiz - XII

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Directions (Q. 1-5): What should come in place of question mark (?) in the following number series?

1. 5, 41, 321, 1921, 7681, 15361, ?
1) 21381
2) 23710
3) 22173
4) 23121
5) 1

2. 1, 3, 7, 13, 22, 34, 51, 71, 96, 124, ?
1) 137
2) 147
3) 157
4) 167
5) None of these

3. 664, 334, 85.5, 16.25, 4.03125, ?
1) 2.73012
2) 3.17203
3) 2.403125
4) 3.220175
5) None of these

4. 33, 110, 453, 2282, 13711, ?
1) 95673
2) 96747
3) 96312
4) 951321
5) 96000

5. 0.8, 3.8, 12.6, 44.8, 188.2, ?
1) 758.6
2) 868.8
3) 952.00
4) 1012.2
5) 1112.2

Directions (Q. 6-10): In the following questions two equation numbered I and II are given. You have solve the equation and give answer if-
1. x > y
2. x > y
3. x < y
4. x < y
5. x = y or the relationship cannot be established.

6.
I. 20x2 - 31x + 12 = 0
II. 20y2 - y - 12 = 0

7.
I. 3x2 - 47x + 184 = 0
II. 2y2 - 23y + 66 = 0

8.
I. 30x - 49√x + 20 = 0
II. 42y - 5√y - 25 = 0

9.
I. x2 - 10√3x + 63 = 0
II. y2 - √2y - 24 = 0

10.
I. x2 - 14x + 48 = 0
II. y2 - y - 30 = 0

ANSWERS:

1. 5; The series is:
5 × 10 – 9 = 41
41 × 8 – 7 = 321
321 × 6 – 5 = 1921
1921 × 4 – 3 = 7680
7681 × 2 – 1 = 15361
15361 × 0 – (–1) = 1

2. 3; The series is:
1 + 1 + 1 = 3
3 + 2 + 2 = 7
7 + 3 + 3 = 13
13 + 4 + 5 = 22
22 + 5 + 7 = 34
34 + 6 + 11 = 51
51 + 7 + 13 = 71
71 + 8 + 17 = 96
96 + 9 + 19 = 124
124 + 10 + 23 = 157
First is numbers (1, 2, 3, 4...) etc and second is prime numbers (1, 2, 3, 5, 7, 11, 13...).

3. 3; The series is:
664 + 4 ÷ 2 = 334
334 + 8 ÷ 4 = 85.5
85.5 + 12 ÷ 6 = 16.25
16.25 + 16 ÷ 8 = 4.03125
4.03125 + 20 ÷ 10 = 2.403125

4. 5; The series is:
13 × 2 + 7 = 300
33 × 3 + 11 = 110
110 × 4 + 13 = 453
453 × 5 + 17 = 2282
2282 × 6 + 19 = 13711
13711 × 7 + 23 = 96000
All are prime number > 7.

5. 3; The series is:
0.8 × 1 + 3 = 3.8
3.8 × 2 + 5 = 12.6
12.6 × 3 + 7 = 44.8
44.8 × 4 + 9 = 188.2
188.2 × 5 + 11 = 952

6. 2; x ³ y

I. 20 x2 – 31 x + 12 = 0
5x (4x-3) – 4 (4x – 3) = 0
(4x –3) (5 x – 4) = 0
x = 3/4, 4/5
II. 20 y2 – y – 12 = 0
(5 y – 4 ) (4y + 3) = 0
y = 4/5, - 3/4
Ans is 2 X > Y

7. 1; X > y
I. 3x2 – 47 x + 184 = 0
(x– 8) (3x – 23) = 0
x = 8, 23/3
II. 2 y2 – 23 y + 66 = 0
(y –6) (2 y –11) = 0
y = 6, 11/2

8. 2;
I. 30 x – 25 x – 24 x + 20
(5√x– 4) (6√x– 5) = 0
x = 16/25, x = 25/36

II. 42 y – 5√y– 25 = 0
(6 √y– 5) (7√y + 5) = 0

y = 25/36, y = 25/49
Ans is 2 X > Y

9. 5; no relation can be established
I. x2 – 10√3+ 63 = 0
x2 – 10√3+ 63 = 0
( x – 3√3 ) (x –7√3)= 0
x = 3√3, 7√3

II. y2 – √2y – 24 = 0
(y – 4√2) (y + 3√2) = 0

y = 4√2, -3√2

10. 2; x ³ y

I. x2 – 14 x – 48 = 0
(x – 6 ) (x – 8) = 0
x = 6, 8

II. y2 – y – 30 = 0
(y + 5) (y - 6) = 0

y = -5 , 6

Quantitative Aptitude Quiz - Data Interpretation

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1. The ratio of the number of organic chemicals for which the production has fallen to the number of inorganic chemicals for which production has fallen is :
(1) 6 : 5
(2) 3 : 2
(3) 2 : 3
(4) 1 :1
(5) None of these

2. Of all the chemicals shown, the highest percentage increase in production has been exhibited for :
(a) Fatty acids
(b) Ethylene glycol
(3) Aniline
(4) Sodium bicarbonate
(5) None of these

3. The difference between production sum of production of ethylene glycol, pthalic anhydride and phenol in 2002-03 and Calcium carbide, sodium bicarbonate and Aluminium chloride in 2003-04 is
(1) 336527
(2) 335667
(3) 326547
(4) 345887
(5) None of these

4. The percentage change in total production of chemicals between the two years is closest to :
(1) 5.4%
(2) 6.9%
(3) 7.2%
(4) 4.5%
(5) None of these

5. Which among the following has least change in production as compared to previous year :
(1) Bleaching powder
(2) Aluminium chloride
(3) Calcium carbonate
(4) Calcium carbide
(5) None of these

Direction(6-10) : State wise Literacy and Population growth:

6. Which of the following states shows a higher Percentage increase in female literacy than the percentage increase in total literacy?
(i) Maharashtra
(ii) Himachal Pradesh
(iii) Kerala
(iv) Karnataka
(1). (i) Only
(2). (i),(ii)&(iv)
(3). (i) and (iii)
(4). All of the above
(5). None of the above

7. For the state showing the minimum percentage increase in total literacy, the numerical ratio of the percentage increase in total literacy to the change in percentage population growth rate is nearly (take absolute values only)
(1). 508.5
(2). 558.5
(3). 598.5
(4). 578.5
(5) .None of these

8. How many states has more increase in female literacy as compared to the average of percentage increase in female literacy in all the years together:
(1) 5
(2) 3
(3) 7
(4) 4
(5) 6

9. The ratio of the overall simple average of the percentage increase in female literacy to the simple average percentage increase in female literacy of those states where the percentage increase is more than the overall average is:
(1) 0.972
(2) 0.818
(3) 0.89
(4) 0.146
(5) None of these

10. The ratio of the simple overall average of the percentage increase in female literacy to the simple overall average of the percentage increase in total literacy is approx equal to :
(1) 0.894
(2) 0.968
(3) 1.033
(4) 0.788
(5) None of these

ANSWERS

1. (3) 4:6=2:3
2. (2) Ethylene glycol, 454371-327387=126984, (126984/327387)×100=38.78%
3. (1)
4. (2) 2910353(2003-04)-2728101(2002-03)=182252, 182252/2728101=6.9%
5. (4) Calcium Carbide, 83445-83388=57
6. (3) ; Maharashtra and Kerala
7. (2) ; Bihar, 22.34/0.04=558.5
8. (1) ;
9. (c) ; 26.496/29.436=0.89 approx
10. (b); 26.496(average of increase in female literacy average)/27.372(average of increase in total literacy)=0.968

Quantitative Aptitude Quiz - X

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6. If in year 2002, the expenditure of Company B was Rs 45 lakhs, then what is the income of Company B in the same year?
1) 50 lakhs
2) 52 lakhs
3) 54 lakhs
4) 55 lakhs
5) 60 lakhs

7. For how many years the difference of the net profit for two companies was the maximum?
1) 1
2) 2
3) 3
4) Data inadequate
5) None of these

8. If, for Company A, the expenditure in year 2000 and 2002 was 1.2 crores together, then what is the total income in these years?
1) 1.86 crores
2) 1.8 crores
3) 1.92 crores
4) Data inadequate
5) None of these

9. In how many years, the total income is less than double the total expenditure in that year for Company B?
1) 1
2) 2
3) 3
4) 4
5) 5

10. If the income of Company A in 2000 and Company B in 2004 is same Rs 42 lakhs, then what is the total expenditure of Company A in 2000 and Company B in 2004?
1) 52 lakhs
2) 64 lakhs
3) 56 lakhs
4) 60 lakhs
5) None of these

ANSWERS

1. 3;
Let the distance be D km. Time is T hours. Speed = S km/hr.
Using Statement I:
D = S × T = (S + 10) (T – 1) Þ S = 10T – 10
Using Statement II:
D = S × T = (S – 8) (T + 1) Þ S = 8T + 8
Using Both:
10T – 10 = 8T + 8 Þ T = 9 Hours, S = 80 km/hr
D = 9 × 80 = 720 Km
So the Answer is (3) ie., using both statements together.

2. 1
√((x - t)/ x) = √(1 – (y/x))

3. 4;
From statement I alone we can find a unique solution as it is given that three integers are consecutive and positive with product 120. So the unique integers will be 4, 5, 6.
From statement II alone we can find a unique solution.
Let the positive integers be a, a + 1, a + 2.
So, a + a + 1 + a + 2 = 15
a = 4 and the integers are 4, 5, and 6.

4. 4; Using Statement I:
We know height of equilateral triangle is .
Here height is given so we can find the side and hence the area of triangle.
Using Statement II:
As the co-ordinates of two vertices are given we can find the length of the side of the triangle and hence the area of the equilalteral triangle.

5. 3; Let the length of trains be L1 and L2.
Using Statement I:
We can only find their speeds as 3x and 4x.
Using Statement II:
We can find L1 = 5 × Speed of Trains,
L2 = 6 × Speed of second Trains
Using Both:
L1 = 5 × 3x
L2 = 6 × 4x
Required time to cross each other completely is
(L1 + L2)/ (3x + 4x) = (15x + 24x)/ 7x = 39/7
Hence, the answer is (3).

6. 3; Profit = (Profit % * Expenditure)/100 = (20*45)/100 = 9
Income = 45 + 9 = 54 lakhs

7. 4; Data is not sufficient.

8. 4; Data inadequate.

9. 5; (Income - Expenditure)/ Exp*100= P%
Expenditure is 100% in each year and Income% = Exp% + Profit%

10. 1; Profit of A in 2000 = (42*50)/150 = 14 lakhs
Expenditure = Income – Profit = 42 – 14 = 28 lakhs
Profit of B in 2004 = (42*75)/175 = 18 lakhs
Expenditure = 42 – 18 = 24 lakhs
Total expenditure = 28 + 24 = 52 lakhs

Quantitative Aptitude Quiz - IX

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Welcome to ourindiajobs.com online test on Quantitative Aptitude. Quantitative tests will helps you to crack your online bank exams. This material on Quantitative will be covered with all topics. Little bit of concentration and hard work may do this online test on Quantitative. Practice more tests on Quantitative it will helps you to manage time. Success comes from confidence. Go ahead with confidence, win the race and achieve your target. All the best for test.

1. √2900 × √498 ÷ √251 = ? ÷ 8
(1) 600
(2) 670
(3) 770
(4) 750
(5) 730

2. 89.998% of 598.9 + 51.002% of 899.99 – 171.015 = ?
(1) 990
(2) 830
(3) 910
(4) 870
(5) 980

3. (341/20.002) ÷ (511/30.07) × (179.909/49.919) = ?
(1) 36
(2) 7.2
(3) 72
(4) 3.6
(5) 1.8

4. 8999 ÷ 90.005 × 95.998 = ? × 20.999
(1) 420
(2) 320
(3) 540
(4) 525
(5) 457

5. (39.99)2 – (9.9)2 – (15.1)2 = ?
(1) 1375
(2) 1275
(3) 1100
(4) 1175
(5) 725

Directions (6 – 10): What will come in place of the question-mark (?) in the following questions?

6. (13/18) of 24% of 1023 = 120 + ?
(1) 60
(2) 57
(3) 87
(4) 120
(5) None of these

7. 5322– 8241 + 3642 + 3120 = ? + 1203
(1) 2640
(2) 2569
(3) 1639
(4) 2549
(5) None of these

8. 53 × 25 ÷ √625 – 32 =? – 42
(1) 132
(2) 157
(3) 155
(4) 133
(5) None of these

9. √(58 × 10 + 120 + 29) = (?)2
(1) 27
(2) √27
(3) 272
(4) 729
(5) 725

10. 62 × 362 = 6? × 216
(1) 4
(2) 3
(3) 6
(4) 2
(5) None of these

Directions (11–15): What will come in the place of the question mark (?) in the following number series?

11. 13 16 14 17 15 18 (?)
(1) 16
(2) 15
(3) 14
(4) 21
(5) None of these

12. 25 50 35 70 55 110 95 (?)
(1) 196
(2) 80
(3) 185
(4) 190
(5) None of these

13. 10 14 26 50 90 (?)
(1) 100
(2) 125
(3) 150
(4) 155
(5) None of these

14. 2 8 20 44 92 (?)
(1)189
(2)188
(3) 288
(4) 818
(5) None of these

15. 15 21 33 51 75 (?)
(1) 103
(2) 102
(3) 105
(4) 95
(5) None of these

ANSWERS

1. (1)
Explanations -
? =√2290×√498÷√251×8
≈ 54×22÷16×8
≈600

2. (2)
Explanations -
? = 89.998% of 598.9+51.002% of 899.99 - 171.015
≈90% of 600 + 51% of 900 – 171.05
≈540+459 – 171

≈830

3. (4)
Explanations -
? = (341/20.002) ÷ (511/30.07) * (179.909/49.919) = ?
≈ 340/20 * 30/510 * 180/50

≈ 3.6

4. (5)
Explanations -
? = 8999÷90.005×95.998÷20.999
≈9000÷90×96÷21
≈9600÷21
≈457

5. (2)
Explanations -
? = 39.992 – 9.92 – 14.92
≈ 402 – 102 – 152
≈ 1275

6. (2)
Explanations -
? = (13/18) of 24% of 1203 – 120
= (13/18)*(24/100)*1203-120
= ((13*4*341)/100) – 120
= 177.32 – 120
= 57 (approx)

7. (5)
Explanations -
? = 5322 – 8241 + 3642 +3120 – 1023 = 2820
? = 53 * 25 ÷ √625 – 32 + 42
= 125 * 25 ÷ 25 – 9 + 16
= 125 + 7
= 132

8. (1)
Explanations -
(1) ? = 53 * 25 ÷ √625 – 32 + 42
= 53 * 25 ÷ 25 – 9+16
= 125 + 7
= 132

9. (2)
Explanations -
(?)2 = √(58 * 10 + +29)
√729 = 27
? = √27

10. (2)
Explanations -
6? = (62 × 362)/ 216
6? = (62 × 64)/63
6? = 63
? = 3

11. (1)
Explanations -
13, 16, 14, 17, 15, 18, (16)
+3 -2 +3 -2 +3 -2

12. (4)
Explanations -
25, 50, 35, 70, 55, 110, 95, (190)
×2 -15 ×2 -15 ×2 -15 ×2

13. (3)
Explanations -
10, 14, 26, 50, 90, (150)
+4 +12 +24 +40 +60

+8 +12 +16 +20

14. (2)
Explanations -
2 8 20 44 92 (188)
+6 +12 +24 +48 +96

15. (3)
Explanations -
(3) 15 21 33 51 75 (105)

+6 +12 +18 +24 +30

Quantitative Aptitude Quiz - VIII

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Welcome to ourindiajobs.com online test on Quantitative Aptitude. Quantitative tests will helps you to crack your online bank exams. This material on Quantitative will be covered with all topics. Little bit of concentration and hard work may do this online test on Quantitative. Practice more tests on Quantitative it will helps you to manage time. Success comes from confidence. Go ahead with confidence, win the race and achieve your target. All the best for test.

Directions (1–5): Study the given information carefully and answer the questions that follow—

An urn contains 6 red, 4 blue, 2 green and 3 yellow marbles.

1. If two marbles are picked at random, what is the probability that both are red?
(1) 1/3
(2) 1/7
(3) 3/5
(4) 2/3
(5) None of these

2. If three marbles are picked at random, what is the probability that two are blue and one is yellow?
(1) 10/455
(2) 35/355
(3) 18/455
(4) 18/35
(5) None of these

3. If four marbles are picked at random, what is the probability that at least one is blue?
(1) 2/5
(2) 60/65
(3) 44/455
(4) 22/21q
(5) None of these

4. If two marbles are picked at random, what is the probability that either both are green or both are yellow?
(1) 3/5
(2) 2/25
(3) 14/25
(4) 4/105
(5) None of these

5. If four marbles are picked at random, what is the probability that one is green, two are blue and one is red?
(1) 24/455
(2) 14/455
(3) 13/55
(4) 134/165
(5) None of these

Directions (6–10): Study the following graph carefully and answer the questions that follow:
Number of candidates Appeared in the examination and percentage of students passed from various colleges

Table is given at the end.

6. What is the ratio between the number of students passed from institute U in 2007 and the number of students passed from institute Q in 2005 respectively?
(1) 95: 154
(2) 154: 95
(3) 36: 77
(4) 77: 36
(5) None of these

7. What is the ratio between the average number of students appeared from institute P for all the years and that from institute S respectively?
(1) 463: 353
(2) 353: 463
(3) 461: 333
(4) 333 : 461
(5) None of these

8. What is the total number of students passed from all institutes together in year 2010?
(1) 3790
(2) 3970
(3) 2590
(4) 2930
(5) None of these

9. What is the overall percentage of students passed from all institutes together in 2008? (rounded off to nearest integer)
(1) 68
(2) 70
(3) 69
(4) 71
(5) None of these

10. Approximately, what is the overall percentage of students passed from institute R for all the years?
(1) 60
(2) 70
(3) 75
(4) 55
(5) 65

ear	Colleges
	P		Q		R		S		T		U
	App	%pass	App	%pass	App	%pass	App	%pass	App	%pass	App	%pass
2005	900	60	1080	40	600	65	1280	50	1200	45	1360	60
2006	1040	50	860	70	700	60	1240	40	1160	70	1120	70
2007	860	60	980	70	760	50	1160	50	1360	70	1400	66
2008	800	65	1200	75	900	70	1200	75	1440	60	1560	70
2009	960	50	1140	50	800	75	1400	65	1400	48	1120	50
2010	1100	40	900	60	1000	68	1500	60	900	50	1300	60
2011	1000	58	940	60	940	60	1440	70	1120	60	1440	50

ANSWERS

1. (2) Required probability = 6C2/15C2 = 1/7

2. (3) (4C2 * 3C1)/15C3 = 18/455

3. (5) Required Probability = 1 – Probability that none of the
Four marbles is blue = 1 - 11C4/15C4 = 69/91

4. (4) Required probability = (2C2 + 3C2)/15C2 = 4/105

5. (1) Required Probability = (2C1 * 4C2 * 6C1)/ 15C4 = 24/455

6. (4) Number of students passed from institute U in 2007 = 66% of 1400 = 924
Number of students passed from institute Q in 2005 = 40% of 1080 = 432
Required ratio = 924: 432 = 77: 36

7. (4) Average number of students appeared from institute P for all the years = 6660/7
Average number of students appeared from institute S for all the years = 9220/7
Required ratio = 6660: 9220 = 333: 461

8. (1) Required sum = 40% of 1100 + 60% of 900 + 68% of
1000 + 60% of 1500 + 50% of 900 + 60% of 1300
= 440 + 540 + 680 + 900 + 450 + 780 = 3790

9. (3) Total number of students appeared in 2008 = 800 +
1200 + 900 + 1200 + 1440 + 1560 =7100
Total Number of students passed in 2008 = 520 +
900 + 630 + 900 + 864 + 1092 = 4906
Required percentage = 4906/7100 * 100 = 69.06

10. (5) Total number of students appeared from institute R
= 5700
Total Number of students Passed from institute R = 3664
Required percentage = 3664/5700 * 100 = 65approx

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