A, B and C can complete a work in 20, 24 and 30 days respectively. All three of them starts together but after 4 days A leaves the job and B left the job 6 days before the work was completed. C completed the remaining work alone. In how many days was the total work completed?
10 days
12 days
14 days
16 days
C.
14 days
Shortcut Method:
Let the total work gets completed in 'x' days.
Now,
The average of 17 results is 60. If the average of first 9 results is 57 and that of the last 9 results is 65, then what will be the value of 9th result?
39
78
117
156
B.
78
Value of 9th result
= 9 x 57 + 9 x 65 - 17 x 60
= 513 + 585 - 1020
= 1098 - 1020 = 78
A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm^{2}) in the total surface area?
289 cm^{2}
361.5 cm^{2}
481.25 cm^{2}
962.5 cm^{2}
C.
481.25 cm^{2}
Since the sphere is cut into two equal halves, we will get two hemispheres.
Total Surface area of both hemispheres =
Total Surface area of solid sphere =
∴ Increase in total surface area
A person lent certain sum of money at 5% per annum simple interest and in 15 years the interest amounted to ₹ 250/- less than the sum lent. What was the sum lent (in ₹)?
₹ 1,000/-
₹ 1,500/-
₹ 2,400/-
₹ 3,000/-
A.
₹ 1,000/-
Let the sum lent be ₹ x.
According to the question,
A boat goes 15 upstream and downstream in 3 hours 15 minutes. It goes 12 km upstream and 14 km downstream in 3 hours. What is the speed of boat in still water.
4 km/hr
6 km/hr
10 km/h
14 km/hr
C.
10 km/h
Let speed of boat with downstream = x km/hr.
speed of boat with upstream = y km/hr.
According to the question,
Solving (i) and (ii), we get
x = 14, y = 6
∴ Speed of boat in still water
After a discount of 34% an article is sold for ₹ 3,168/-. What is the marked price (in ₹) of the article?
₹ 4,750/-
₹ 4,800/-
₹ 4,850/-
₹ 5,000/-
B.
₹ 4,800/-
Shortcut Method:
32% of a number exceeds 17% of the same number by 120. What is the value of the number?
900
860
940
800
D.
800
Let the number be x.
According to the question,
For an article the profit is 170% of the cost price. If the cost price increases by 20% but the selling price remains same, then what is the new profit percentage?
41%
50%
75%
125%
D.
125%
Let the C.P. be ₹ 100.
S.P. = ₹ (100 + 170) = ₹ 270
Now, If C.P. is increased by 20%
∴ New C.P. = ₹ 120, S.P is same i.e. = ₹ 270
If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y?
2
4
6
8
A.
2
If 347XY is divisible by 80 (i.e. 8 x 10), then Y = 0 is the only possibility.
A number is divisible by 8, if its last three digits are divisible by 8.
Last 3 digits i.e. 7X0 should be divisible by 8
So, X = 2
∴ X + Y = 2 + 0 = 2
Severity: Notice
Message: Undefined variable: flex_subject_id
Filename: features/flexipad.php
Line Number: 348
Backtrace:
File: /var/www/html/public_html/application/views/features/flexipad.php
Line: 348
Function: _error_handler
File: /var/www/html/public_html/application/views/previous_year_papers/paper.php
Line: 163
Function: view
File: /var/www/html/public_html/application/controllers/Study.php
Line: 2109
Function: view
File: /var/www/html/public_html/index.php
Line: 315
Function: require_once