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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

Quantitative Aptitude Quiz - XI

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6. From 2002 to 2003, in which syllabus the no. of studying students decreases?
(1) Science
(2) Art
(3) Agriculture
(4) Medicine
(5) None of these

7. From 2002 to 2003, in which syllabus percent increase in number of studying students was minimum?
(1) Medicine
(2) Art
(3) Pharmacy
(4) Science
(5) None of these

8. What is the total number of students studying commerce, engineering and medicine in 2003?
(1) 14900
(2) 15800
(3) 16000
(4) 15900
(5) None of these

9. What is the approximate percent increase in no. of students studying engineering from 2002 to 2003?
(1) 28%
(2) 30%
(3) 26%
(4) 22%
(5) None of these

10. What is the total number of students studying agriculture, pharmacy and medicine in 2002?
(1) 6500
(2) 6000
(3) 6200
(4) 5800
(5) None of these

Directions (11-15): The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question.

Mark answer—
(1) If statement I alone is sufficient but statement II alone is not sufficient.
(2) If statement II alone is sufficient but statement I alone is not sufficient.
(3) If each statement alone (either I or II) is sufficient.
(4) If statement I and II together are not sufficient.
(5) If both statement together are sufficient, but neither statement alone is sufficient.

11. What is the teacher's age?
(I) The average are of 10 students and their teacher is 25 years.
(II) The teacher's age is 10 years more than the age of the oldest student.

12. How many marks did Akshay get?
(I) The marks got by Akshay is equal to average marks of Namita and Mona.
(II) Namita got 80 marks which is 60% more than the marks get by Mona.

13. What amount of profit did Sheetal make by selling a watch?
(I) She sold it at 20 percent profit on the labelled price.
(II) She bought the watch at 50 percent -discount on labelled price.

14. What is the rate of simple interest per annum?
(I) The sum tripples in 20 years at simple interest.
(II) The difference between sum and simple interest in 10 years is Rs. 1000

15. 3 boys and 1 girl completed a piece of work in 4 days. In how many days will 2 girls and 2 boys complete the same work?
(I) 5 girls completed the same works in 4 days.
(II) 2 boys and 1 girl completed the same work in 5 days.

ANSWERS

1. 3; 6 × .5 + .5 = 3.5
3.5 × 1 + .5 = 4
4 × 2 + .5 = 8.5
8.5 × 4 + .5 = 34.5
34.5 × 8 + .5 = 276.5

2. 5; 8 × 1 + 1 = 9
9 × 2 + 2 = 63
20 × 3 + 3 = 63
63 × 4 + 4 = 256
256 × 5 + 5 = 1285

3. 4; 9 × 2 – 1 = 17
17 × 2 – 1 = 33
33 × 2 – 1 = 65
65 × 2 – 1 = 129

4. 2; 2 × 7 + 1 = 15
15 × 6 + 2 = 92
92 × 5 + 3 = 463
463 × 4 + 4 = 1856

5. 1; 286 ÷ 2 – 1 = 142
142 ÷ 2 – 1 = 70
70 ÷ 2 – 1 = 34
34 ÷ 2 – 1 = 16
16 ÷ 2 – 1 = 7

Syllabus	No of students in 2002	No of students in 2003
Science	6000	6600
Commerce	5500	7200
Art	3000	3300
Medicine	2750	3000
Pharmacy	1500	2700
Eng.	4500	5700
Agriculture	1750	1500

6. (3) In Agriculture

7. (1) Medicine = (2750 – 3000)/2750 * 100
= 250/2750 * 100
= 100/11 = 9.09%

8. (4) Total number of students in studying in Commerce, Engineering & Medicine in 2003 = 7200 + 5700+ 3000 = 15900

9. (3) Req % = (5700 – 4500)/4500 * 100 = 1200/4500 * 100 = 26.66% = 26

10. (2) Students studying in Agriculture+ Pharmacy+ Medicine = 1750+ 1500+2750 = 6000

11. 4; Data inadequate

12. 5; State (I) from.
Akshay = (Namita + Mona)/2
Statement (I) from.
Namita = Mona × 160/100
80 = Mona × 160/100
Mona = 50
Akshay = (80 + 50)/ 2= 65

13. 4; Data inadequate

14. 1; Statement (I) from
2 = (1 * r * 20)/100
r = 10%
Statement I alone is sufficient but statement II is not

15. 3; From (I)
Time taken by 1 girls to complete the work = 5 × 4
= 20 days
Time taken by 2 girls to complete the work = 20/2
= 10 days
Time taken by 2 boys to complete the work = 1/4 - 1/20
= 5 days

From (II)
We can find the ratio of numbers of boys and girls. So either of the statement is necessary.

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