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A can finish a work in 24 days. B can finish the same work in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. How many days A will take to finish the remaining work?
Correct
Answer: d)
Let the total amount of work is equal to = 1 unit
A can finish the work in 24 days it means in 1 day he will finish 1/24th of the work, in the
Similar way in 1 day B will finish 1/9 th amount of work and C will finish 1/12th amount of work.
So, (B + C)’s 1 day’s work = (1/9 + 1/12) unit= 7/36 unit
Work done by B and C in 3 days = 7/36 X 3 = 7/12 unit
Remaining work = (1 – 7/12) unit = 5/12unit
Now, 1/24 unit work is done by A in one day.
Let’s suppose he completes the remaining work in a day then,
1/24 X a = 5/12
=> a= 5/12 X 24 = 10 days
Incorrect
Answer: d)
Let the total amount of work is equal to = 1 unit
A can finish the work in 24 days it means in 1 day he will finish 1/24th of the work, in the
Similar way in 1 day B will finish 1/9 th amount of work and C will finish 1/12th amount of work.
So, (B + C)’s 1 day’s work = (1/9 + 1/12) unit= 7/36 unit
Work done by B and C in 3 days = 7/36 X 3 = 7/12 unit
Remaining work = (1 – 7/12) unit = 5/12unit
Now, 1/24 unit work is done by A in one day.
Let’s suppose he completes the remaining work in a day then,
1/24 X a = 5/12
=> a= 5/12 X 24 = 10 days
Question 17 of 20
17. Question
The average age of 80 boys in a class is 19 years. The average age of a group of 15 boys in the class is 21 years and the average age of another group of 25 boys in the class is 18 years. What is the average age of the remaining boys in the class?
The ratio of the age of Kalpana to that of Ruhani is 13 : 17. Four years ago, the ratio of their ages was 11 : 15. What will be the ratio of their ages six years hence?
Correct
Answer: b)
Let their present ages be 13x and 17x respectively.
Therefore, (13x-4 ) / (17x-4) = 11/15
x = 2
Reqd ratio = (13×2+6) / (17×2+6) = 32/40 = 4: 5
Quicker Approach:
In ratio 2 = 4 yrs
1 = 2 yrs
Kalpana’s present age = 13 x 2 = 26 yrs
Ruhani’s present age = 17 x 2 = 34 yrs
Reqd ratio = 26 + 6 : 34 + 6 =32 : 40 = 4 : 5
Incorrect
Answer: b)
Let their present ages be 13x and 17x respectively.
Therefore, (13x-4 ) / (17x-4) = 11/15
x = 2
Reqd ratio = (13×2+6) / (17×2+6) = 32/40 = 4: 5
Quicker Approach:
In ratio 2 = 4 yrs
1 = 2 yrs
Kalpana’s present age = 13 x 2 = 26 yrs
Ruhani’s present age = 17 x 2 = 34 yrs
Reqd ratio = 26 + 6 : 34 + 6 =32 : 40 = 4 : 5
Question 19 of 20
19. Question
A train travelling at a speed of 60 km/hour crosses a platform in 20 seconds. What is the length of the train?
Correct
Answer: e)
Speed = Distance / Time
60 = L+P / 20
L + P = (60 x 20)
Hence we can’t determine the length of the platform.
Incorrect
Answer: e)
Speed = Distance / Time
60 = L+P / 20
L + P = (60 x 20)
Hence we can’t determine the length of the platform.
Question 20 of 20
20. Question
Rohit borrowed a total amount of Rs. 30000, -a part of it at simple interest of 12% per annum and the remaining at 10% per annum. If at the end of 2 years he paid in all Rs. 36480 to settle the loan amount, then what was the amount borrowed at 12% per annum?
Correct
Answer: d)
Let the amount borrowed by Rohit at 12% per annum be x.
Directions ( Q. 1 -5): What Value should come in place of question mark (?) in the following questions.
1). (3 / 5) of (2 / 7) of (35 / 18) of ? = 405
1375
1275
1285
1215
1325
2). 24 % of 6550 – 175 % of ? = 697
500
475
675
825
975
3). (1/7) of 254 of (1/8) = ? ÷ 21
96(1 / 4)
95(1 / 7)
98(2 / 7)
96 (3 / 7)
95(1 / 4)
4). (2892 ÷12) × 13 = ? % of 2410
241
342
230
130
150
5). [(√(81 × 64) / (4.5)] × 18 = (?)^2 – 153
21
23
17
19
22
Directions (Q. 6-10): what should come in place of question mark in the following number series?
7, 4.5, 7.5, 16.25, 39.5, ?, 334.25
80.75
120.25
120.75
107.75
108
543, 668, 704, 1047, ?, 1840
1110
1111
1115
1121
1112
8). 50, ?, 61, 89, 154, 280
52
51
60
62
65
9). 2916, 972, ?, 108, 36, 12
324
234
248
391
None of these
10). 8, 47, 234, 935, ?, 5607
2804
2802
2808
2801
2814
Directions (Q.11-15): Study the following table carefully and answer the questions given below.
Amount invested by six different companies during six different months (in lakh.)
What is the difference between the investment made by company A and E together in March and company B and D together in January (in lakh)?
75
65
50
85
None of these
What is the average of investment made by company C in May, D in February and E in January (in lakh)?
22
36
42
46
None of these
In which month was the investment made by companies maximum?
March
April
May
June
Other than given in the options
By what percent approximately is the investment made by company A in June less than that by company D in the same month?
23%
24%
28%
32%
34%
What was the average investment made by company F during all the months (in lakhs)?
34
43
32
44
42
A can finish a work in 24 days. B can finish the same work in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. How many days A will take to finish the remaining work?
20 days
15 days
25 days
10 days
5 days
17). The average age of 80 boys in a class is 19 years. The average age of a group of 15 boys in the class is 21 years and the average age of another group of 25 boys in the class is 18 years. What is the average age of the remaining boys in the class?
18.5 years
17.5 years
18.875 years
17 years
19.25 years
18). The ratio of the age of Kalpana to that of Ruhani is 13 : 17. Four years ago, the ratio of their ages was 11 : 15. What will be the ratio of their ages six years hence?
8 : 5
4 : 5
3 : 4
7 : 8
Other than the given options
19). A train travelling at a speed of 60 km/hour crosses a platform in 20 seconds. What is the length of the train?
333 metres
300 metres
Other than the given options
336 metres
Can’t be determined
20). Rohit borrowed a total amount of Rs. 30000, -a part of it at simple interest of 12% per annum and the remaining at 10% per annum. If at the end of 2 years he paid in all Rs. 36480 to settle the loan amount, then what was the amount borrowed at 12% per annum?
Rs. 16000
Rs. 18000
Rs. 17500
Rs. 12000
None of these
Answers:
Directions ( Q. 1 -5):
1 Answer: d)
(3 / 5) × (2 / 7) × (35 / 18) × ? = 405
Or, ? = [(405 × 5 × 7 ×18) / (3 × 2 × 35)] = 1215
2). Answer: a)
24 % of 6550 – 175 % of ? = 697
Or, [(24 × 6550) / 100 ] – [175 × ?/ 100] = 697
or, [(1572 – 697) × 100] / 175 = ?
:. ? = (87500 / 175) = 500
3). Answer: e)
254 × (1 / 7) × (1 / 8) = ? ÷ 21
Or, ? = [(254 × 21) / 56] = 95 (1 / 4)
4). Answer: d)
[(? × 2410) / 100] = (2892 ÷ 12 ) × 13
= 241 × 13 = 3133
:.? = [(3133 × 1000) / 2410] = 130
5). Answer: a)
[(√(81 × 64) ÷ (4.5))] × 18 = (?)^2 – 153
Or, (9 × 8 ÷ 4.5) × 18 = (?)^2 – 153
Or, 16 × 18 + 153 = (?)^2
:. ? = √(288 + 153) = √441 = 21
Directions (Q. 6-10):
Answer: d)
The pattern of the number series is ×0.5+1, ×1+3, ×1.5+5, ×2+7, ×2.5+9