Daily CSAT Practice Test
Everyday 5 Questions from Aptitude, Logical Reasoning, and Reading Comprehension will be covered from Monday to Saturday.
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In a traffic signal red light flashes 7 times per minute and the green light flashes 13 times in 2 minutes at regular intervals. If both the lights start flashing at the same time, how many times do they flash together in an hour?
Solution (c)
First light flashes after 60/7 sec
Second light flashes after 120/13 sec they blink together after
(LCM of 60/7 , 120/13) = 120sec = 2 min,
So in one hour they blink together = 60/2=30 times.
Solution (c)
First light flashes after 60/7 sec
Second light flashes after 120/13 sec they blink together after
(LCM of 60/7 , 120/13) = 120sec = 2 min,
So in one hour they blink together = 60/2=30 times.
If a three digit number having no zero, “PQR” is divisible by 3 and another three digit number “PRQ’ is divisible by 6, then what is the minimum value of P+Q+R?
Solution (a)
Since PQR is divisible by 3 hence P+Q+R must be divisible by 3.
Now PRQ is divisible by 6 which means the number PQR is an even number
Because for it to be divisible by 6, it should be divisible by 2 and 3 first
The minimum value of three digit number PQR=123, and the PRQ=132.
So the sum of digits is 6.
Solution (a)
Since PQR is divisible by 3 hence P+Q+R must be divisible by 3.
Now PRQ is divisible by 6 which means the number PQR is an even number
Because for it to be divisible by 6, it should be divisible by 2 and 3 first
The minimum value of three digit number PQR=123, and the PRQ=132.
So the sum of digits is 6.
When we reverse the digits of the number 13 the number increases by 18. How many other two-digit numbers are there which increases by 18 when its digits are reversed?
Solution (a)
Let the numbers are in the form of (10x+y), so when the digits of the number are reversed the number becomes (10y+x).
According to question,
(10y+x) – (10x+y) = 18;
9(y-x) = 18; →y-x = 2.
So, the possible pairs of (x, y) are (1, 3), (2, 4), (3, 5), (4, 6), (5, 7), (6, 8) and (7, 9).
But, we need the number other than 13.
Thus, there are 6 possible numbers i.e. 24, 35, 46, 57, 68, 79.
So, total numbers of possible numbers are 6.
Solution (a)
Let the numbers are in the form of (10x+y), so when the digits of the number are reversed the number becomes (10y+x).
According to question,
(10y+x) – (10x+y) = 18;
9(y-x) = 18; →y-x = 2.
So, the possible pairs of (x, y) are (1, 3), (2, 4), (3, 5), (4, 6), (5, 7), (6, 8) and (7, 9).
But, we need the number other than 13.
Thus, there are 6 possible numbers i.e. 24, 35, 46, 57, 68, 79.
So, total numbers of possible numbers are 6.
Find the missing number
Solution (b)
In column I; (6-3)×10 =30
In column II; (8-6)×9=18
Therefore In column III; (5-4)×11=11
Solution (b)
In column I; (6-3)×10 =30
In column II; (8-6)×9=18
Therefore In column III; (5-4)×11=11
A person employed a group of 20 men for a sales job. These 20 men working 8 hours a day can complete the job in 28 days. The work started on time but after 18 days, it was observed that two thirds of the work was still pending. To avoid penalty and complete the work on time, the employer had to employ more men and also increase the working hours to 9 hours a day. Find the extra men employed if the efficiency of all men is same.
Solution (c)
Let the total work be 3 units and additional men employed after 18 days be ‘x’.
Work done in first 18 days by 20 men working 8 hours a day = (1/3) x 3 = 1 unit
Work done in last 10 days by (20 + x) men working 9 hours a day = (2/3) x 3 = 2 unit
Here, we need to apply the formula M1 D1 H1 E1 / W1 = M2 D2 H2 E2 / W2, where
M1 = 20 men D1 = 18 days H1 = 8 hours/day W1 = 1 unit
E1 = E2 = Efficiency of each man
M2 = (20 + x) men D2 = 10 days H2 = 9 hours/day W2 = 2 unit
So, we have
20 x 18 x 8 / 1 = (20 + x) x 10 x 9 / 2
x + 20 = 64
x = 44
Therefore, additional men employed = 44
Solution (c)
Let the total work be 3 units and additional men employed after 18 days be ‘x’.
Work done in first 18 days by 20 men working 8 hours a day = (1/3) x 3 = 1 unit
Work done in last 10 days by (20 + x) men working 9 hours a day = (2/3) x 3 = 2 unit
Here, we need to apply the formula M1 D1 H1 E1 / W1 = M2 D2 H2 E2 / W2, where
M1 = 20 men D1 = 18 days H1 = 8 hours/day W1 = 1 unit
E1 = E2 = Efficiency of each man
M2 = (20 + x) men D2 = 10 days H2 = 9 hours/day W2 = 2 unit
So, we have
20 x 18 x 8 / 1 = (20 + x) x 10 x 9 / 2
x + 20 = 64
x = 44
Therefore, additional men employed = 44
