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TSD (Time, speed and distance), TW (time and work), calenders, clocks

Q.No: 1
Test Name : CAT Paper 2001
Directions for questions 1 to 37: Answer the questions independently.

A can complete a piece of work in 4 days. B takes double the time taken by A, C takes double that of B, and D takes double that of C to complete the same task. They are paired in groups of two each. One pair takes two-thirds the time needed by the second pair to complete the work. Which is the first pair?

A
A and B
B
A and C
C
B and C
D
A and D
Solution:
Q.No: 2
Test Name : CAT Paper 2001
Directions for questions 1 to 37: Answer the questions independently.

Two men X and Y started working for a certain company at similar jobs on January 1, 1950. X asked for an initial salary of Rs. 300 with an annual increment of Rs. 30. Y asked for an initial salary of Rs. 200 with a rise of Rs. 15 every 6 months. Assume that the arrangements remained unaltered till December 31, 1959. Salary is paid on the last day of the month. What is the total amount paid to them as salary during the period?

A
Rs. 93,300
B
Rs. 93,200
C
Rs. 93,100
D
None of these
Solution:
Q.No: 3
Test Name : CAT Paper 2001
Directions for questions 1 to 37: Answer the questions independently.

There’s a lot of work in preparing a birthday dinner. Even after the turkey is in the oven, there’s still the potatoes and gravy, yams, salad, and cranberries, not to mention setting the table.
Three friends — Asit, Arnold and Afzal — work together to get all of these chores done. The time it takes them to do the work together is 6 hr less than Asit would have taken working alone, 1 hr less than Arnold would have taken alone, and half the time Afzal would have taken working alone. How long did it take them to do these chores working together?

A
20 min
B
30 min
C
40 min
D
50 min
Solution:
Q.No: 4
Test Name : CAT Paper 1990
Questions. 51 to 58 : Each of the following questions is followed by two statements. MARK,
(a), if the question can be answered with the help of statement I alone,
(b), if the question can be answered with the help of statement II alone,
(c), if both, statement I and statement II are needed to answer the question, and
(d), if the statement cannot be answered even with the help of both the statements.

Ramu went by car from Calcutta to Trivandrum via Madras, without any stoppages. The average speeds for the entire journey was 40 kmph. What was the average speed from Madras to Trivandrum?
I. The distance from Madras to Trivandrum is 0.30 times the distance from Calcutta to Madras.
II. The average speed from Madras to Trivandrum was twice that of the average speed from Calcutta to Madras.

A
B
C
D
Solution:
Q.No: 5
Test Name : CAT Paper 1990
Questions. 51 to 58 : Each of the following questions is followed by two statements. MARK,
(a), if the question can be answered with the help of statement I alone,
(b), if the question can be answered with the help of statement II alone,
(c), if both, statement I and statement II are needed to answer the question, and
(d), if the statement cannot be answered even with the help of both the statements.

How long did Mr. X take to cover 5000 km journey with 10 stopovers?
I. The ith stopover lasted i2 minutes.
II. The average speed between any two stopovers was 66 kmph.

A
B
C
D
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