EASY
CAT
IMPORTANT
Earn 100

Four two-way pipes A,B,C and D can either fill an. empty tank or drain the full tank in 4,10,12 and 20 minutes respectively. All four pipes were opened simultaneously when the tank is empty. Under which of the following conditions the tank would be half filled after 30 minutes?

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Important Questions on Taste of The Exams - Block II & III

EASY
CAT
IMPORTANT
A shop, which sold same marked price shirts, announced an offer - if one buys three shirts then the fourth shirt is sold at a discounted price of 100  only. Patel took the offer. He left the shop with 20 shirts after paying 20,000 .  What is the marked price of a shirt?
MEDIUM
CAT
IMPORTANT
Arup and Swarup leave point A at 8AM to point B. To reach B, they have to walk the first 2 km, then travel 4 km by boat and complete the final 20 km by car. Arup and Swarup walk at a constant speed of 4 km/hr and 5 km/hr respectively. Each rows his boat for 30 minutes. Arup drives his car at a constant speed of 50 km/hr while Swarup drives at 40 km/hr. If no time is wasted in transit, when will they meet again?
MEDIUM
CAT
IMPORTANT
The taxis plying in Wasseypur have the following fare structure: 20 for the first two kilometers, 5 for every km in excess of 2 km and up to 10 km, and 8 for every km in excess of 10 km. Bullock carts on the other hand charge 2 per km. Sardar Khan takes a taxi from the Wasseypur railway station to his home. On the way, at a distance of 14 km from the railway station, he meets Faizal Khan, and gets down from the taxi to talk to him. Later he takes a bullock cart to reach his home. He spends a total of 102 to reach his home from the railway station. How far is his home from the railway station?
HARD
CAT
IMPORTANT
The mean of six positive integers is 15 . The median is 18, and the only mode of the integers is less than 18. The maximum possible value of the largest of the six integers is
MEDIUM
CAT
IMPORTANT
Ram, Shyam and Hari went out for a 100 km joumey. Ram and Hari started the journey in Ram's car at the rate of 25 kmph, while Shyam walked at 5 kmph. After sometime, Hari got off and started walking at the rate of 5 kmph and Ram went back to pick up Shyam. All three reached the destination simultaneously. The number of hours required for the trip was:
MEDIUM
CAT
IMPORTANT
Prof. Suman takes a number of quizzes for a course. All the quizzes are out of 100 . A student can get an A grade in the course if the average of her scores is more than or equal to 90 . Grade B is awarded to a student if the average of her scores is between 87 and 89 (both included). If the average is below 87, the student gets a C grade. Ramesh is preparing for the last quiz and he realises that he will need to score a minimum of 97 to get an A grade. After the quiz, he realises that he will score 70 , and he will just manage a B. How many quizzes did Prof. Suman take?
MEDIUM
CAT
IMPORTANT
A teacher noticed a strange distribution of marks in the exam. There were only three distinct scores: 6, 8 and 20 . The mode of the distribution was 8 . The sum of the scores of all the students was 504 . The number of students in the most populated category was equal to the sum of the number of students with lowest score and twice the number of students with the highest score. The total number of students in the class was:
MEDIUM
CAT
IMPORTANT
Devanand's house is 50 km West of Pradeep's house. On Sunday morning, at 10 a.m., they leave their respective houses. Under which of the following scenarios, the minimum distance between the two would be 40 km?
Scenario I: Devanand walks East at a constant speed of 3 km per hour and Pradeep walks South at a constant speed of 4 km per hour.
Scenario II: Devanand walks South at a constant speed of 3 km per hour and Pradeep walks East at a constant speed of 4 km per hour.
Scenario III: Devanand walks West at a constant speed of 4 km per hour and Pradeep walks East at a constant speed of 3 km per hour.