1.The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
- 8.5 m
- 17 m
- 34 m
- None of these
2
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View Answer
Solution:
Let the breadth of the plot be b m.
Length of the plot = 3 b m
(3b)(b) = 867
3b2 = 867
b2 = 289 = 172 (b > 0)
b = 17 m.
2. (562 - 242) * 1/32 + ?% of 1200 = 146
- 2 1/2
- 4 1/2
- 5 1/2
- 6 1/2
7
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View Answer
Solution:
(562 - 242) * 1/32 + ?% of 1200 = 146
=> (3136 - 576) * 1/32 + ?/32 of 1200 = 146
=> 2560/32 + ? * 12 = 146 => ? * 12 = 146 - 80
=> ? = 66/12 => 5 1/2
3.Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?
- Nothing
- 10%
- 5%
- 1%
12
4. If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
- 45000
- 50000
- 60000
- 65000
14
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View Answer
Solution:
Let the sum be Rs. x. Then,
(x * 25/2 * 1/100) - (x * 10 * 1)/100 = 1250
25x - 20x = 250000
x = 50000
5. The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
- . 46
- 56
- 57
- 84
18
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View Answer
Solution:
1 to 11 = 11 * 50 = 550
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 550 = 56
6.A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?
- 4 days
- 5 days
- 7 days
- 11 days
24
-
View Answer
Solution:
One day work of A, B and C = 1/24 + 1/30 + 1/40 = 1/10 Work done by A and B together in the last 4 days = 4*(1/24 + 1/30) = 3/10
Remaining work = 7/10
The number of days required for this initial work = 7 days.
The total number of days required = 4 + 7 = 11 days.
7. A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is?
- 5%
- 7%
- 8%
- 10%
28
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View Answer
Solution:
Let the rate be R% p.a. Then,.
(5000 * R * 2)/100 + (3000 * R * 4)/100 = 2200.
100 R + 120 R = 2200.
R = 10%.
8. 150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
- 30
- 45
- 60
- 90
31
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View Answer
Solution:
Rate of consumption of each man = 1050/(150 * 30) = 7/30 kg/day
Let us say 70 men take x days to consume 150 kg.
Quantity consumed by each item in x days = 7x/30 kg.
Quantity consumed by 70 men in x days = (7x/30)(70)kg
(7x/30)(70) = 980
x = (980 * 30)/490 => x = 60 days
9. Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?
- Rs. 30
- Rs. 60
- Rs. 70
- Rs. 85
34
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View Answer
Solution:
Kim's wages : David's wages = Kim's 1 day work : David's 1 day work = 1/3 : 1/2 = 2:3
Kim's share = 2/5 * 150 = Rs. 60
10. The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
- Rs. 3096
- Rs. 4076
- Rs. 4085
- Rs. 4096
40
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View Answer
Solution:
Principal = [4913 / (1 + 25/(4 * 100))3]
= 4913 * 16/17 * 16/17 * 16/17 = Rs. 4096.
11.HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is?
- 33
- 66
- 132
- 264
43
12.A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
- 5 kmph
- 10 kmph
- 20 kmph
- 22 kmph
47
13. X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more. What is the value of X?
- 40
- 50
- 60
- 70
51
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View Answer
Solution:
We have M1 D1 = M2 D2
120X = (X - 20)180
=> 2X = (X - 20) 3 => 2X = 3X - 60
=> X = 60
14.Find the one which does not belong to that group ?
- 104
- 110
- 112
- 116
54
15.Ayesha'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?
- 2 years
- 4 years
- 6 years
- 8 years
59
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View Answer
Solution:
Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 4) = 42 years.
Required difference = (42 - 36) = 6 years.
17.The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
- 25 cm2
- 42 cm2
- 49 cm2
- None of these
68
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View Answer
Solution:
Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 28/2 = 35 cm2
18.A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
- 4 min
- 5 min
- 3 min 4 sec
- Data inadequate
69
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View Answer
Solution:
S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min
19.A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most -.
- 215
- 243
- 728
- 729
73
-
View Answer
Solution:
Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 * 6 * 6 = 216. Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts = 216 - 1 = 215.
20.105.126 * 35.201 - 90.23 * 3 + 55.11 * 27.01 = ?
- 4890
- 40000
- 5996
- 6400
77
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View Answer
Solution:
105.126 * 35.201 - 90.23 * 3 + 55.11 * 27.01
= 105 * 35 - 90 * 3 +55 * 27 = 3675 - 270 + 1485
= 5160 - 270 = 4890
