# GATE2017-64

There are $3$ Indians and $3$ Chinese in a group of $6$ people. How many subgroups of this group can we choose so that every subgroup has at least one Indian?

1. $56$
2. $52$
3. $48$
4. $44$

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To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question A was correctly answered by $3,30,000$ candidates. Question B was answered correctly by $2,50,000$ candidates. Question C ... as the number answering none, how many candidates failed to clear the test? $30,000$ $2,70,000$ $3,90,000$ $4,20,000$
A set of $4$ parallel lines intersect with another set of $5$ parallel lines. How many parallelograms are formed? $2$0486072$0 votes 0 answers 3 In the summer, water consumption is known to decrease overall by$25\%$. A Water Board official states that in the summer household consumption decreases by$20\%$. While other consumption increases by$70\%$. Which of the following statements is correct? The ratio of ... other consumption is$1/17$The ratio of household to other consumption is$17/8$There are errors in the official s statement 0 votes 0 answers 4$40\%$of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is$120144160212$0 votes 0 answers 5 Trunks ($10$m long) and cars ($5$m long) go on a single lane bridge. There must be a gap of at least$20$m after each trunk and a gap of at least$15$m after each car. Trunks and cars travel at a speed of$36$km/h. If cars and trunks go alternately, what is the maximum number of vehicles that can use the bridge on one hour?$14401200720600\$