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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A plane left 30 min later than its scheduled time to reach its destination 1,500 km away. In order to reach in time, it increases its speed by 250 km/h. What is its original speed?
Solution (b)
Let the usual speed of the plane be ‘v’ km/h and the time taken by the plane to cover 1,500 km be ‘t’ hr
To reach the destination on time, the increased speed of the plane = v+250 km/h
Since the plane started 30 min late, the time taken should be (t – 1/2) hr
v*t = (v+250)(t-1/2)
v = (250t-125)2
1,500/(v+250) = t-1/2
1,500/(50t-250+250) = t-1/2
3/t = t-1/2
On solving for t, we get t = 2 hour
The original speed = 1,500/2 = 750 km/h
Solution (b)
Let the usual speed of the plane be ‘v’ km/h and the time taken by the plane to cover 1,500 km be ‘t’ hr
To reach the destination on time, the increased speed of the plane = v+250 km/h
Since the plane started 30 min late, the time taken should be (t – 1/2) hr
v*t = (v+250)(t-1/2)
v = (250t-125)2
1,500/(v+250) = t-1/2
1,500/(50t-250+250) = t-1/2
3/t = t-1/2
On solving for t, we get t = 2 hour
The original speed = 1,500/2 = 750 km/h
Study the following information and answer the questions that follow
Six ropes viz. A, B, C, D, E and F are kept on a table. Each rope is of a different length and different colour viz. blue, red, green, yellow, pink and orange. B is longer than only red rope. A is longer than B but shorter than C. Yellow rope is shorter than only pink rope. C is not pink in colour. F is shorter than D but longer than C. Green rope is longer than B but shorter than blue rope.
What is the colour of rope A?
Solution (d)
It is given that, B is longer than only red rope which means red rope is shortest and B is 5th longest rope
B>Red rope
Also, A is longer than B but shorter than C
C>A>B>Red rope
Yellow rope is shorter than only pink rope which means Pink rope is the longest followed by Yellow rope
F is shorter than D but longer than C
D>F>C>A>B>Red rope (E)
Green rope is longer than B but shorter than blue rope.
Therefore, final arrangement looks like below
Pink rope (D)>Yellow rope (F)>Blue rope (C)>Green rope (A)>Orange rope (B)>Red rope (E)
Hence, rope A is of green colour
Hence, option d is correct.
Solution (d)
It is given that, B is longer than only red rope which means red rope is shortest and B is 5th longest rope
B>Red rope
Also, A is longer than B but shorter than C
C>A>B>Red rope
Yellow rope is shorter than only pink rope which means Pink rope is the longest followed by Yellow rope
F is shorter than D but longer than C
D>F>C>A>B>Red rope (E)
Green rope is longer than B but shorter than blue rope.
Therefore, final arrangement looks like below
Pink rope (D)>Yellow rope (F)>Blue rope (C)>Green rope (A)>Orange rope (B)>Red rope (E)
Hence, rope A is of green colour
Hence, option d is correct.
Study the following information and answer the questions that follow
Six ropes viz. A, B, C, D, E and F are kept on a table. Each rope is of a different length and different colour viz. blue, red, green, yellow, pink and orange. B is longer than only red rope. A is longer than B but shorter than C. Yellow rope is shorter than only pink rope. C is not pink in colour. F is shorter than D but longer than C. Green rope is longer than B but shorter than blue rope.
Which is the third longest rope?
Solution (b)
Blue rope i.e. rope C is the third longest.
Solution (b)
Blue rope i.e. rope C is the third longest.
Study the following information and answer the questions that follow
Six ropes viz. A, B, C, D, E and F are kept on a table. Each rope is of a different length and different colour viz. blue, red, green, yellow, pink and orange. B is longer than only red rope. A is longer than B but shorter than C. Yellow rope is shorter than only pink rope. C is not pink in colour. F is shorter than D but longer than C. Green rope is longer than B but shorter than blue rope.
Which of the following is correct as per the given arrangement?
Choose the correct code
Solution (a)
From the arrangement we see that E is the smallest rope and rope D is pink in colour, but Green rope is longer than red rope. Hence option a is correct.
Solution (a)
From the arrangement we see that E is the smallest rope and rope D is pink in colour, but Green rope is longer than red rope. Hence option a is correct.
What should replace ‘*‘ in the number 3*930. It is given that the number is divisible by 3 and is divisible by only one of 11, 9 and 7, but is not divisible by 19.
Solution (d)
Using the divisibility test of 3, we can put 0, 3, 6, and 9 in the missing place.
Checking these one by one, we get 33930 as divisible by only 9 and not 19, and 39930 divisible by 11 and not by 19.
Also, 36930 and 30930 are not divisible by any one of the 11, 9 and 7.
Hence, 3 or 9 can be the missing digits.
So, the correct answer is option d.
Solution (d)
Using the divisibility test of 3, we can put 0, 3, 6, and 9 in the missing place.
Checking these one by one, we get 33930 as divisible by only 9 and not 19, and 39930 divisible by 11 and not by 19.
Also, 36930 and 30930 are not divisible by any one of the 11, 9 and 7.
Hence, 3 or 9 can be the missing digits.
So, the correct answer is option d.
