A number when divided by 361 gives a remainder 47. If the same number is divided by 19, the remainder obtained is
3
8
9
1
C.
9
Shortcut Method:
Divide the remainder 47 by 19 i.e. Required remainder = 9
A sum of Rs. 7,930 is divided into three parts and given on loan at 5% simple interest to A, B and C for 2, 3 and 4 years respectively. If the amounts of all three are equal after their respective periods of loan, then A received a loan of
Rs. 3,050
Rs. 2,760
Rs. 2,750
Rs. 2,800
B.
Rs. 2,760
(100 + 5 x 2)% of A = (100 + 5 x 3)% of B = (100 + 5 x 4)% of C
110% of A = 115% of B = 120% of C = k(Let)
∴ Loan received by A
The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.
Approximate percentage decrease in production of Type Q vehicles from 2010 to 2011 is
10.1
16.7
14.3
12.5
B.
16.7
Required percentage decrease
The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.
The ratio of total production of Type P vehicles to total production of type Q vehicles over the years is
48 : 41
5 : 8
8 : 5
41 : 48
A.
48 : 41
Total production of type P vehicles = 1200 thousands
Total production of type Q vehicles
= 175 + 150 + 125 + 175 + 175 + 225 = 1025
∴ Required ratio = 1200 : 1025 = 48 : 41
Average of n numbers is a. The first number is increased by 2, second one is increased by 4, third one is increased by 8 and so on. The average of the new numbers is
B.
Sum of new numbers
= na + (2 + 4 + 8 + 16 +......n)
∴ New average
The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.
The production of Type Q vehicles in 2010 was approximately what percent of Type vehicles in 2014?
60
45.5
54.5
75
C.
54.5
Required percent
The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.
The total production of Type P vehicles in the years 2009 and 2011 is what percent of total production of Type Q vehicles in 2010 and 2014?
75
69.25
80
81.25
C.
80
Total production of type P vehicles in 2009 and 2011
= 100 + 200 = 300 thousands
Total production of type Q vehicles in 2010 and 2014
= 150 + 225 = 375 thousands
∴ Required percent
A man starts from a place P and reaches the place Q in 7 hours. He travels of the distance at 10 km/hour and the remaining distance at 12 km/hour. The distance between P and Q is
72 km
90 km
80 km
70 km
C.
80 km
Let the total distance be 4x km.
Time =
According to the question
∴ Total distance travelled = 4x = 4 x 20 = 80 km.
The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.
In how many of the given years, was the production of Type P vehicles of the company more than the average production of this type vehicles in the given years?
3
4
2
5
A.
3
Average production of type P vehicles
Required years
⟹ 2012, 2013 and 2014