All members of a club went to Mumbai and stayed in a hotel. On the first day, 80% went for shopping and 50% went for sightseeing, whereas 10% took rest in the hotel. Which of the following conclusion(s) can be drawn from the above data?

1. 40% members went for shopping as well as sightseeing.

2. 20% members went for only shopping.

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Four parallel lines intersect another set of four parallel lines. How many parallelograms can be formed?

How many positive-integer triplets $\left( x,y,z \right)$ satisfy: $x + y + z = 6$ ?

Ena was born 4 years after her parents’ marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena's father get married?

Meenu's age in 2002 was one-third of Meera's age. In 2010, Meenu's age was half of Meera's age. What was Meenu's year of birth?

The ratio of a two-digit natural number to the number formed by reversing its digits is 4 : 7. How many such pairs are possible?

Consider the following statements:
1. The sum of two rational numbers is always a rational number.
2. The product of two rational numbers is always a rational number.
3. The sum of a rational number and an irrational number is always an irrational number.
Which of the statements given above is/are correct?

Consider the following Statements and Conclusions:

Statements-1: Some rats are cats.

Statements-2: Some cats are dogs.

Statements-3: No dog is a cow.

Conclusions-I: No cow is a cat.

Conclusions-II: No dog is a rat.

Conclusions-III: Some cats are rats.

Which of the above conclusions is/are drawn from the statements?

A freight train leaves Delhi for Mumbai at 40 km/h. Two hours later, an express train leaves Delhi on a parallel track at 60 km/h. How far from Delhi will the express train catch the freight train?

In a 1000 m race, X gives Y a 40 m start and gives Z a 64 m start. If Y and Z compete in a 1000 m race, how much start should Y give Z?

In a conference, out of a total 100 participants, 70 are Indians. If 60 of the total participants are vegetarian, then which of the following statements is/are correct?

1. At least 30 Indian participants are vegetarian.

2. At least 10 Indian participants are non- vegetarian.

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In a school, 60% students play cricket. A student who does not play cricket, plays football. Every football player has got a two- wheeler. Which of the following conclusions cannot be drawn from the above data?

1. 60% of the students do not have two- wheelers.

2. No cricketer has a two-wheeler.

3. Cricket players do not play football.

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19 boys turn out for playing hockey. Of these, 11 are wearing hockey shirts and 14 are wearing hockey pants. There are no boys without shirts and/or pants. What is the number of boys wearing full uniform?

Consider the sequence given below: 4/12/95, 1/1/96, 29/1/96, 26/2/96, what is the next term of the series?

If RAMON is written as 12345 and DINESH as 675849, then HAMAM will be written as