# Placement Written test paper for MNC || Math questions and answers Part –4

 Ques 151 : Choose the correct answer. A polygon has 44 diagonals, the number of its sides is Option 1 : 10 Option 2 : 11 Option 3 : 12 Option 4 : 22 Ques 152 : Choose the correct answer. The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line is Option 1 : 105 Option 2 : 115 Option 3 : 175 Option 4 : 185 Ques 153 : Choose the correct answer. There are 5 letters and five addressed envelops. the number of ways in which all the letters can be put in wrong envelops is Option 1 : 119 Option 2 : 44 Option 3 : 59 Option 4 : 40 Ques 154 : Choose the correct answer. The number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated is Option 1 : 960 Option 2 : 2880 Option 3 : 288 Option 4 : 576 Ques 155 : Choose the correct answer. At an election there are five candidates and three members to be elected , and a voter may vote for any number of candidates not greater than the number to be elected. Then the number of ways in which a voter may vote is Option 1 : 25 Option 2 : 30 Option 3 : 32 Option 4 : none of these Ques 156 : Choose the correct answer. There are n different books and p copies of each. the number of ways in which a selection can be made from them is Option 1 : np Option 2 : pn Option 3 : (p+1)n -1 Option 4 : (n+1)p-1 Ques 157 : Choose the correct answer. The sides AB, BC, CA of a triangle ABC have 3,4 and 5 interior points respectively on them. The total number of triangles that can be constructed by using these points as vertices is Option 1 : 220 Option 2 : 204 Option 3 : 205 Option 4 : 195 Ques 158 : Choose the correct answer. A lady gives dinner party to five guests to be selected from 9 friends .The number of ways of forming the party of 5,given that two of the friends will not attend the party together is Option 1 : 56 Option 2 : 126 Option 3 : 91 Option 4 : none of these Ques 159 : Choose the correct answer. Each question has four choices out of which only one is correct. A candidate has to answer four questions. The number of ways he fails to give all answers correctly, is Option 1 : 15 Option 2 : 81 Option 3 : 255 Option 4 : 256 Ques 160 : Choose the correct answer. A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made? Option 1 : 1260 Option 2 : 210 Option 3 : 10C6 * 6! Option 4 : 10C5 * 6 Ques 161 : Choose the correct answer. There are 10 yes or no questions. How many ways can these be answered? Option 1 : 1084 Option 2 : 2048 Option 3 : 1024 Option 4 : 100 Ques 162 : Choose the correct answer. If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM? Option 1 : 24 Option 2 : 31 Option 3 : 32 Option 4 : 30 Ques 163 : Choose the correct answer. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is: Option 1 : 1/22 Option 2 : 3/22 Option 3 : 2/91 Option 4 : 2/77 Ques 164 : Choose the correct answer. A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective, is: Option 1 : 4/19 Option 2 : 7/19 Option 3 : 12/19 Option 4 : 21/95 Ques 165 : Choose the correct answer. In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he has offered English or Hindi ? Option 1 : 2/5 Option 2 : 3/4 Option 3 : 3/5 Option 4 : 3/10 Ques 166 : Choose the correct answer. A box contains 6 red balls, 7 green balls and 5 blue balls. Each ball is of a different size. The probability that the red ball being selected is the smallest red ball, is Option 1 : 1/18 Option 2 : 1/3 Option 3 : 1/6 Option 4 : 2/3 Ques 167 : Choose the correct answer. If A and B are 2 independent events and P(A)=0.5 and P(B) = 0.4, find P(A/B): Option 1 : 0.5 Option 2 : 0.4 Option 3 : 0.88 Option 4 : None of these Ques 168 : Choose the correct answer. A 5-digit number is formed by the digits 1,2,3,4 and 5 without repetition. What is the probability that the number formed is a multiple of 4? Option 1 : 1/4 Option 2 : 1/5 Option 3 : 2/5 Option 4 : 1/120 Option 5 : 4 Ques 169 : Choose the correct answer. In a single throw of dice, what is the probability to get a number greater or equal to 4? Option 1 : 1/3 Option 2 : 2/3 Option 3 : 1/2 Option 4 : None of these Ques 170 : Choose the correct answer. A bag contains 5 oranges, 4 bananas and 3 apples. Rohit wants to eat a banana or an apple. He draws a fruit from the bag randomly. What is the probability that he will get a fruit of his choice? Option 1 : 3.5/12 Option 2 : 7/12 Option 3 : 5/12 Option 4 : None of these Ques 171 : Choose the correct answer. There are two boxes A and B. Box A has three red and four blue balls. Box B has five red and two blue balls. Anya draws a ball from each bag randomly. What is the probability that both balls are red? Option 1 : 4/7 Option 2 : 8/49 Option 3 : 7/8 Option 4 : 15/49 Ques 172 : Choose the correct answer. Ravi has a bag full of 10 Nestle and 5 Cadbury chocolates. He draws two chocolates. What is the probability that he got at least one Nestle chocolate? Option 1 : 2/3 Option 2 : 3/7 Option 3 : 2/21 Option 4 : None of these Ques 173 : Choose the correct answer. The probability of having at least one tail in 5 throws of a coin is Option 1 : 1/32 Option 2 : 31/32 Option 3 : 1/5 Option 4 : None of these Ques 174 : Choose the correct answer. A bag contains 5 yellow and 4 brown pencils. If two pencils are drawn, what is the probability that the pencils are of the same colour? Option 1 : 5/108 Option 2 : 1/6 Option 3 : 5/18 Option 4 : 4/9 Ques 175 : Choose the correct answer. A single letter is drawn at random from the word, “ASPIRATION”, the probability that it is a vowel is? Option 1 : 1/2 Option 2 : 1/3 Option 3 : 3/5 Option 4 : 2/5 Ques 176 : Choose the correct answer. The probability that a man can hit a target is 3/4. He tries 5 times. The probability that he will hit the target at least three times is: Option 1 : 291/364 Option 2 : 371/464 Option 3 : 471/502 Option 4 : 459/512 Ques 177 : Choose the correct answer. An unbiased dice is rolled 3 times. The probability that the value on the dice is not more than 4 in any of the 3 rolls is: Option 1 : 8/27 Option 2 : 1/27 Option 3 : 26/27 Option 4 : 2/3 Ques 178 : Choose the correct answer. Probability of occurrence of event A is 0.5 and that of event B is 0.2. The probability of occurrence of both A and B is 0.1. What is the probability that none of A and B occur? Option 1 : 0.3 Option 2 : 0.4 Option 3 : 0.7 Option 4 : None of these Ques 179 : Choose the correct answer. An unbiased coin is tossed 5 times. If tail appears on first four tosses, then probability of tail appearing on the fifth toss is: Option 1 : 1/2 Option 2 : 1 Option 3 : 0 Option 4 : 4/5 Ques 180 : Choose the correct answer. X and Y are two independent events. The probability that X and Y occur is 1/12, and the probability that neither occur is 1/2, the probability of occurrence of X can be: Option 1 : 1/3 Option 2 : 1/5 Option 3 : 1/2 Option 4 : 1/10 Ques 181 : Choose the correct answer. An unbiased coin is tossed n times. If the probability of getting 4 tails equals the probability of getting 7 tails, then the probability of getting two tails is: Option 1 : 55/2048 Option 2 : 3/4096 Option 3 : 1/1024 Option 4 : None of these Ques 182 : Choose the correct answer. Sudhanshu and Pankaj stand in a circle with 10 other persons. If the arrangement of the person is at random, then the probability that there are exactly 3 persons between Sudhanshu and Pankaj is? Option 1 : 9/11 Option 2 : 2/11 Option 3 : 1/11 Option 4 : None of these Ques 183 : Choose the correct answer. Three numbers are chosen from 1 to 30 randomly. The probability that they are not consecutive is: Option 1 : 1/145 Option 2 : 144/145 Option 3 : 139/140 Option 4 : 1/140 Ques 184 : Choose the correct answer. A bag is full of 20 bananas and no other fruit. Rajeev draws a fruit from the bag. What is the probability that he will draw a banana? Option 1 : 1 Option 2 : 0 Option 3 : 1/2 Option 4 : None of these Ques 185 : Choose the correct answer. An unbiased dice is rolled 5 times and the outcomes are 1, 2, 3, 4 and 5 respectively. If it is rolled again, what is the probability that the outcome is 6? Option 1 : 1 Option 2 : 5/6 Option 3 : 1/6 Option 4 : None of these Ques 186 : Choose the correct answer. The probability of drawing an apple from a bag of fruits is 6/25. How many apples should Ravi draw, so that there is a chance he will draw 12 apples on average? Option 1 : 25 Option 2 : 50 Option 3 : 12 Option 4 : None of these Ques 187 : Choose the correct answer. What is the probability for a day to be Sunday? Option 1 : 1/7 Option 2 : 1/5 Option 3 : 52/365 Option 4 : None of these Ques 188 : Choose the correct answer. Rani has a bag with three blue and three yellow coins. She takes out a coin, sees its colour and puts it back in the bag. She does this thrice. What is the probability that she saw all blue coins. Option 1 : 1/8 Option 2 : 1/2 Option 3 : 1/3 Option 4 : None of these Ques 189 : Choose the correct answer. Shikhar has a bag with 2 balls, each of which can be black or white with equal probability. Now, he draws out a ball and it turns out to be black. After this event, what is the probability that both balls are black? Option 1 : 1/2 Option 2 : 1/4 Option 3 : 1 Option 4 : None of these Ques 190 : Choose the correct answer. A coin is tossed thrice. What is the probability that the first toss of coin lands head, second tail and third lands tail as well? Option 1 : 1/16 Option 2 : 3/8 Option 3 : 1/8 Option 4 : None of these Ques 191 : Choose the correct answer. The probability of occurrence of event A is 0.3 and that of event B is 0.4. The events are independent. What is the probability of occurrence of both A and B? Option 1 : 0.7 Option 2 : 0.1 Option 3 : 0.12 Option 4 : Cannot be determined Ques 192 : Choose the correct answer. The probability of occurrence of event A is 0.1 and that of event B is 0.2. The events are mutually exclusive. What is the probability of occurrence of both A and B? Option 1 : 0.1 Option 2 : 0 Option 3 : 1 Option 4 : Cannot be determined Ques 193 : Choose the correct answer. The probability of occurrence of event X is 0.8 and that of event Y is 0.05. The events are mutually exclusive. What is the probability of occurrence of either X or Y? Option 1 : 0.85 Option 2 : 0.75 Option 3 : 0 Option 4 : Cannot be determined Ques 194 : Choose the correct answer. 10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the vo Option 1 : 25000 Option 2 : 33000 Option 3 : 35000 Option 4 : 40000 Ques 195 : Choose the correct answer. A, B, C started a business with their investments in the ratio 1:3:5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is: Option 1 : 4:3:5 Option 2 : 5:6:10 Option 3 : 6:5:10 Option 4 : 10:5:6 Ques 196 : Choose the correct answer. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be: Option 1 : Rs. 169.50 Option 2 : Rs. 170 Option 3 : Rs. 175.50 Option 4 : Rs. 180 Ques 197 : Choose the correct answer. A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially ? Option 1 : 10 Option 2 : 20 Option 3 : 21 Option 4 : 25 Ques 198 : Choose the correct answer. A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should he sell them to make a profit of 20% ? Option 1 : Rs 4 Option 2 : Rs 5 Option 3 : Rs 6 Option 4 : Rs 7 Ques 199 : Choose the correct answer. Padam purchased 30 kg of rice at the rate of 17.50 per kg and another 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20% overall profit. At what price per kg did he purchase the lot Option 1 : Rs.12.50 Option 2 : Rs. 13.50 Option 3 : Rs. 14.50 Option 4 : Rs. 15.50 Option 5 : None of these Ques 200 : Choose the correct answer. The manufacturer of a certain item can sell all he can produce at the selling price of Rs. 60 each. It costs him Rs. 40 in materials and labour to produce each item and he has overhead expenses of Rs. 3000 per week in order to operate the plant. The numb Option 1 : 200 Option 2 : 250 Option 3 : 300 Option 4 : 400