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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 was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?
In an examination, a student can choose the order in which two questions (QuesA and QuesB) must be attempted. - If the first question is answered wrong, the student gets zero marks. - If the first question is answered correctly and the second question is not answered correctly, the student gets the marks only for the first question. - If both the questions are answered correctly, the student gets the sum of the marks of the two questions. The following table shows the probability of correctly answering a question and the marks of the question respectively.  question Probability of answering correctly marks QuesA 0.8 10 QuesB 0.5 20 Assuming that the student always wants to maximize her expected marks in the examination, in which order should she attempt the questions and what is the expected marks for that order (assume that the questions are independent)? 
The following pairs relate to frequency distribution of a discrete variable and its frequency polygon. Which one of the following pairs is not correctly matched?
Consider the following pairs: Name : Formula 1] 2-Chlorobutane : CH3CH2CH(Cl)CH3 2] Pentan-2-one : (CH3)2CHCOCH(CH3)2 3] Prop-2-enal : CH2CHCHO 4] 2,4-Dimethylpentan-3-one : CH3COCH2CH2CH3 Which of the above pairs are correctly matched?
 Consider the following pairs.  1. 2-Bromopropane (CH3)2C=CHCOCH3  2. Propan-1-amine CH3–CH2–CH2–NH2  3. Dichloromethane CH2Cl2  4. 4-Methylpent-3-en-2-one CH3-CHBr-CH3 Which of the above pairs are correctly matched?
Consider the following pairs: Type of climate    Climatic region of India  1. As                     Coromandel coast of Tamil Nadu 2. Aw                    Most of the Peninsular plateaus, south of the Tropic of Cancer 3. Bwhw               Extreme western Rajasthan 4. Dfc                   Jammu and Kashmir, Himachal Pradesh and Uttarakhand Which of the pairs given above is not correctly matched?
Consider the following pairs:   Reservoirs States 1. Ghataprabha Telangana 2. Gandhi Sagar Madhya Pradesh 3. Indira Sagar Andhra Pradesh 4. Maithon Chhattisgarh How many pairs given above are not correctly matched?
Robi has 10 pairs of matched socks. If he loses 7 individual socks, what is the greatest number of pairs of matched socks he can have left?
Consider the following pairs: Name of Local storms  Location 1. Mango Shower Kerala and coastal areas of Karnataka 2. Blossom Shower Bengal and Assam 3. Nor Westers Kerala and nearby areas 4. Loo  Northern plains from Punjab to Bihar with higher intensity between Delhi and Patna Which of the following pairs is/are correctly matched?
Consider the following pairs: a) Summer Solstice - 21 June  b) Winter Solstice - 22 November c) Equinox - 21 March  Which of the following pairs given above is/are correctly matched?