In a 10 km race. Sushant, Rajkumar, and Suraj, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If Sushant beats Rajkumar by 1 km and Rajkumar beats Suraj by 1 km, then by how many metres does Sushant beat Suraj?
OPtion
1) 1.5 km
2) 1.6 km
3) 1.8 km
4) 1.9 m
5) 2.0 km
6) 2.1 km
7) 1900 km
8) 1800 m
9) 1900 m
10) None of these
Solution
Sushant : Rajkumar = 10 : 9
Rajkumar : Suraj = 10 : 9
⇒ The ratio of speeds of Sushant : Rajkumar : Suraj = 100 : 90 : 81
In the same time that Sushant travels 100 m, Suraj travels 81 metres ⇒ In the same time that Sushant travels 10000 m, Suraj would travel 8100 m
or Sushant would beat Suraj by 1900 m.
A tea seller prepares and sells 150 tea cups every day. The total cost incurred on preparing 150 cups of team without any profit or loss is Rs 1275, he sells each cup of tea at Rs 10.
One day while preparing tea, unfortunately, 5 cups of tea get spilled while boiling.
How much is his profit or loss percentage for that day?
OPtion
1) Profit 13.17
2) Profit 12.75
3) Loss 13.73
4) Loss 12.75
5) Profit 13.13
6) Profit 13.87
7) Loss 13.13
8) Loss 13.87
9) Profit 13.73
10) None of these
Solution
CP of 150 Cups = 1275
SP of 150 Cups = 1500
SP of 145 Cups of tea = 1450
1) SAE
2) QAE
3) SAF
4) QAF
5) RAF
6) PAF
7) RAE
8) QAF
9) PAE
10) None of these
Solution
There are three series:
the first letter is formed by series that is formed by skipping one alphabet in backward direction
Second letter is constant
Third position is a simple series of A, B, C, D, E
RAE
Dhanloot bank is running an offer for its customer. On the date 03-08-2020, any amount which is fixed deposited for 3 years would earn a interest rate of 8%.
What would be the simple interest earned by a customer who books fixed deposit on 03-08-2020 on an amount of Rs. 2020 for a period of 3 years?
Let the total pages are 'n'. We have
1 + 2 + 3 + .........+n = 138
⇒ n(n+1) = 276
n (n+1) = 276
The square nearest to 276 is 289.This is the square of 17. Hence, we will take n= 17.
Therefore, sum of the pages= n(n+1)/2 = 17*18/2=153
Missing number = 153-138 =15.
Now, we have to think of 2 consecutive numbers whose sum is 15.
x+x+1=15 ⇒ ×= 7, 8
Sushant runs 4 times as fast as Sulleman. If Sushant gives Sulleman a start of 60 m, how far must the goal on the race course be so that Sushant and Sulleman reach it at the same time?
Ratio of the speeds of Sushant and Sulleman = 4:1.
In a race of 4 m, Sushant gains 3 m over Sulleman.
60 meters will be gained by Sushant in race of (4/3 × 60 = 80 m).
Thus, Winning post must be at a distance of 80 m from the starting point.
In the same time, Amar covers 80 m, Akbar covers (80 – 5) = 75 m, and Anthony covers (80 – 20) = 60 m.
If the race is between Akbar and Anthony only, applying unitary method, when Akbar runs 75 m, Anthony runs 60 m.
Hence, when Akbar runs 80 m, Anthony runs (60/75 × 80 = 64)
Maths is just like a lantern that enlightens your life with numbers
nishant
Six is a number perfect in itself, and not because God created the world in six days; rather the contrary is true. God created the world in six days because this number is perfect, and it would remain perfect, even if the work of the six days did not exis