December 30, 2019
Placement Written test paper for MNC  Math questions and answers Part –3
Ques 101 : Choose the correct answer.  
In an examination, 70% of students passed in physics, 65% in chemistry, 27% failed in both subjects. The percentage of students who passed is:  
Option 1 : 66%  Option 2 : 62%  Option 3 : 69%  Option 4 : None of these  


Ques 102 : Choose the correct answer.  
An article was sold for Rs. 2770. Had it been sold for Rs. 3000 there would have been an additional gain of 10%. Cost Price of the article is:  
Option 1 : Rs. 2100  Option 2 : Rs. 2200  Option 3 : Rs. 2300  Option 4 : Rs. 2400  Option 5 : None of these 


Ques 103 : Choose the correct answer.  
Rakesh buys a scooter worth Rs. 10,000. He sells it to Mohan at a profit of 10%. If after sometime Mohan sells it back to Rakesh at a loss of 10%, then totally:  
Option 1 : Rakesh loses Rs. 100  Option 2 : Rakesh loses Rs. 1100  Option 3 : Rakesh gains Rs. 100  Option 4 : Rakesh gains Rs. 1100  Option 5 : None of these 


Ques 104 : Choose the correct answer.  
The list price of an electric iron is Rs. 300. If two successive discounts of 15% and 10% are allowed, its selling price will be:  
Option 1 : Rs. 229.50  Option 2 : Rs.231.50  Option 3 : Rs.232.50  Option 4 : Rs. 234.50  Option 5 : None of these 


Ques 105 : Choose the correct answer.  
The rate of compound interest at which a sum of Rs. 8000 amounts to Rs. 8820 in 2 years, is:  
Option 1 : 5%  Option 2 : 4%  Option 3 : 6%  Option 4 : 7%  Option 5 : None of these 


Ques 106 : Choose the correct answer.  
A car is 250 metres behind the bus. The car and bus are moving with speed 60 km/hr and 35 km/hr respectively. The car will be ahead of bus by 250 metres in:  
Option 1 : 37 seconds  Option 2 : 48 seconds  Option 3 : 72 seconds  Option 4 : 68 seconds  Option 5 : None of these 


Ques 107 : Choose the correct answer.  
Mohan walks a certain distance and rides back in 6 hours and 15 minutes. If he walks both ways he takes 7 hours and 45 minutes. If Mohan rides both ways the time which he will take will be:  
Option 1 : 4 hours  Option 2 : 19/4 hours  Option 3 : 9/2 hours  Option 4 : 17/4 hours  Option 5 : None of these 


Ques 108 : Choose the correct answer.  
Population of a village is eight thousand. If 6% men and 10% women are added, population becomes 8,600, then the number of men in the village was:  
Option 1 : 4800  Option 2 : 5000  Option 3 : 5060  Option 4 : 6000  


Ques 109 : Choose the correct answer.  
If 15 oxen or 20 cows can eat the grass of a field in 80 days, then in how many days will 6 oxen and 2 cows eat the same grass?  
Option 1 : 40  Option 2 : 60  Option 3 : 100  Option 4 : 160  


Ques 110 : Choose the correct answer.  
At a certain party the ratio of gents and ladies was 1 : 2. But when 2 gents and 2 ladies left the party, the ratio became 1 : 3. How many people were initially present in the party?  
Option 1 : 12  Option 2 : 15  Option 3 : 18  Option 4 : 24  


Ques 111 : Choose the correct answer.  
Prabodh bought 30 kg of rice at the rate of Rs. 8.50 per kg and 20 kg of rice at the rate of Rs. 9.00 per kg. He mixed the two. At what price (App.) per kg should he sell the mixture in order to get 20% profit?  
Option 1 : Rs. 9.50  Option 2 : Rs. 8.50  Option 3 : Rs. 10.50  Option 4 : Rs. 12.00  


Ques 112 : Choose the correct answer.  
The cash price of a television is Rs. 4022. A customer paid Rs. 1500 in cash and promised to pay the remaining money in 3 monthly equal instalments at the rate of 5% per annum compound interest. What is the value of each instalment?  
Option 1 : Rs. 926.10  Option 2 : Rs. 903.33  Option 3 : Rs. 928.30  Option 4 : Rs. 940.50  


Ques 113 : Choose the correct answer.  
The population of a village decreases at the rate of 20% per annum. If its population 2 years ago was 10000, what is its present population?  
Option 1 : 6000  Option 2 : 10000/144  Option 3 : 6400  Option 4 : 7600  


Ques 114 : Choose the correct answer.  
A certain sum of money at simple interest becomes Rs. 1062 in 2 years and Rs. 1183.50 in 3½ years. What is rate of interest per annum?  
Option 1 : 7%  Option 2 : 6%  Option 3 : 9%  Option 4 : 5%  


Ques 115 : Choose the correct answer.  
If the simple interest on a sum at 4% per annum for 2 years is Rs. 80, then the compound interest on the same sum for the same period is:  
Option 1 : Rs. 86.80  Option 2 : Rs. 86.10  Option 3 : Rs. 88.65  Option 4 : Rs. 81.60  


Ques 116 : Choose the correct answer.  
A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 750 km?  
Option 1 : 30  Option 2 : 31.25  Option 3 : 31  Option 4 : 33  


Ques 117 : Choose the correct answer.  
A train leaves Delhi at 6.00 a.m. and reaches Agra at 10.00 a.m. Another train leaves Agra at 8.00 a.m. and reaches Delhi at 11.30 a.m. At what time do the two trains cross each other if the distance between Delhi and Agra is 200 km?  
Option 1 : 8.45 a.m.  Option 2 : 8.56 a.m.  Option 3 : 9.20 a.m.  Option 4 : 9.56 a.m.  


Ques 118 : Choose the correct answer.  
How many litres of a 90% solution of concentrated acid needs to be mixed with a 75% solution of concentrated acid to get a 30 L solution of 78% concentrated acid?  
Option 1 : 24 L  Option 2 : 22.5 L  Option 3 : 6 L  Option 4 : 17.5 L  


Ques 119 : Choose the correct answer.  
If x is a positive number and y = x^{2}, then which of the following is true?  
Option 1 : y is always more than x  Option 2 : x is always more than y  Option 3 : x is always equal to y  Option 4 : None of these  


Ques 120 : Choose the correct answer.  
Rajiv has a number x in his mind. He finds out that the square of x is less than x. What is the range of x?  
Option 1 : x is more than 0  Option 2 : x is less than 1  Option 3 : x is more than 0, but less than 1  Option 4 : This is not possible  


Ques 121 : Choose the correct answer.  
What is the value of: x^{1.5} * x^{2} ?  
Option 1 : x^{3}  Option 2 : x^{3.5}  Option 3 : x^{0.75}  Option 4 : None of these  


Ques 122 : Choose the correct answer.  
What is the value of: (3^{3}*81^{2}*2^{0})/9^{5} ?  
Option 1 : 0  Option 2 : 3  Option 3 : 1/3  Option 4 : None of these  


Ques 123 : Choose the correct answer.  
What number should be divided by (0.81)^{1/2} to give the result as 81?  
Option 1 : 9  Option 2 : 81  Option 3 : 72.9  Option 4 : 0.9  


Ques 124 : Choose the correct answer.  
If 6^{(x3)} = 36^{(x5)}, then what is the value of x?  
Option 1 : 2  Option 2 : No value will agree  Option 3 : 1  Option 4 : 7  


Ques 125 : Choose the correct answer.  
Which is the largest among 2^{1/2}, 5^{1/3} and 4^{1/4} ?  
Option 1 : (2)^{1/2}  Option 2 : 5^{1/3}  Option 3 : 4^{1/4}  Option 4 : None of these  


Ques 126 : Choose the correct answer.  
What is the value of 1000^{9}/100^{4}?  
Option 1 : 100^{5}  Option 2 : 10^{5}  Option 3 : 10^{19}  Option 4 : None of these  


Ques 127 : Choose the correct answer.  
In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together ?  
Option 1 : 120  Option 2 : 720  Option 3 : 4320  Option 4 : 2160  Option 5 : None of these 


Ques 128 : Choose the correct answer.  
In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together ?  
Option 1 : 810  Option 2 : 1440  Option 3 : 2880  Option 4 : 50400  Option 5 : 5760 


Ques 129 : Choose the correct answer.  
How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated ?  
Option 1 : 5  Option 2 : 10  Option 3 : 15  Option 4 : 20  


Ques 130 : Choose the correct answer.  
A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 women. The shortlist consists of 9 men and 6 women. In how many ways can this be done?  
Option 1 : 3,724  Option 2 : 3,630  Option 3 : 4,914  Option 4 : 5,670  


Ques 131 : Choose the correct answer.  
From a pack of 52 playing cards, 4 cards are removed at random. In how many ways can the 1st place and 3rd place cards be drawn out such that both are black ?  
Option 1 : 64,974  Option 2 : 62,252  Option 3 : 69,447  Option 4 : 1,592,500  


Ques 132 : Choose the correct answer.  
In how many ways can the digits 2,3,5,7 and 9 be placed to form a threedigit number so that the higher order digit is always greater than the lower order digits? (Assume digits are all different).  
Option 1 : 8  Option 2 : 9  Option 3 : 10  Option 4 : 15  


Ques 133 : Choose the correct answer.  
In how many ways can 4 ladies and 4 men form two mixed doubles teams for a tennis match?  
Option 1 : 72  Option 2 : 108  Option 3 : 36  Option 4 : 84  


Ques 134 : Choose the correct answer.  
In CAT entrance examination paper there are 3 sections, each containing 5 questions. A candidate has to solve 5, choosing at least one from each section. The number of ways he can choose is  
Option 1 : 2,500  Option 2 : 2,250  Option 3 : 2,750  Option 4 : 3,250  


Ques 135 : Choose the correct answer.  
A boy has 4 different boxes and 5 different marbles. In how many ways can he place the marbles in the boxes such that each box has at least one marble ?  
Option 1 : 560  Option 2 : 240  Option 3 : 420  Option 4 : 36  


Ques 136 : Choose the correct answer.  
A teacher was trying to form the groups of students in such a way that every group has equal number of students and that number should be a prime number. She tried for first 5 prime numbers, but on each occasion exactly one student was left behind. If t  
Option 1 : 0  Option 2 : 2  Option 3 : 3  Option 4 : 4  


Ques 137 : Choose the correct answer.  
Ram buys 7 novels from a book fair. Shyam buys 8 novels from the fair, none of which is common with those bought by Ram. They decide to exchange their books one for one. In how many ways can they exchange their books for the first time ?  
Option 1 : 7!x8!  Option 2 : 7×8!  Option 3 : 7!x8  Option 4 : 56  


Ques 138 : Choose the correct answer.  
In an examination 10 questions are to be answered choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 in part B, in how many ways can 10 questions be answered ?  
Option 1 : 212  Option 2 : 266  Option 3 : 272  Option 4 : 312  


Ques 139 : Choose the correct answer.  
A box contains 20 tickets of identical appearance, the tickets being numbered 1, 2, 3, ….., 20. In how many ways can 3 tickets be chosen such that the numbers on the drawn tickets are in arithmetic progression ?  
Option 1 : 18  Option 2 : 33  Option 3 : 56  Option 4 : 90  


Ques 140 : Choose the correct answer.  
A company could advertise about its new product in 4 magazines, 3 newspapers and 2 television channels. But in a later move it decided to give advertisements in only 2 of the magazines, one of the newspapers and one the TV channels. In how many ways can  
Option 1 : 30  Option 2 : 36  Option 3 : 44  Option 4 : None of these  


Ques 141 : Choose the correct answer.  
In how many ways can the letters of the word ‘ERGONOMICS’ be rearranged such that the vowels always appear together?  
Option 1 : 6! /2!  Option 2 : 6!*4!  Option 3 : 7! /2!  Option 4 : (7! * 4!)/2!  


Ques 142 : Choose the correct answer.  
How many different four letter words can be formed (the words need not be meaningful) using the letters of the word PACIFIC such that the first letter is P and the last letter is F?  
Option 1 : 8  Option 2 : 3  Option 3 : 6  Option 4 : 7!/5!  


Ques 143 : Choose the correct answer.  
The value of ^{74}P_{2} is  
Option 1 : 2775  Option 2 : 150  Option 3 : 5402  Option 4 : none of these  


Ques 144 : Choose the correct answer.  
In how many different ways can the letters of the word ‘ HARDWARE’ be arranged in such a way that the vowels always come together.  
Option 1 : 120  Option 2 : 1080  Option 3 : 1440  Option 4 : 4320  Option 5 : 720 


Ques 145 : Choose the correct answer.  
In how many ways a committee, consisting of 4 men and 10 women can be formed from 6 men and 10 women?  
Option 1 : 266  Option 2 : 50  Option 3 : 15  Option 4 : 8640  Option 5 : none of these 


Ques 146 : Choose the correct answer.  
Out of 7 consonants and four vowels ,how many words of three consonants and 2 vowels can be formed?  
Option 1 : 210  Option 2 : 1050  Option 3 : 25200  Option 4 : 21400  Option 5 : none of these 


Ques 147 : Choose the correct answer.  
3 books of mathematics and 5 books of physics are placed on a shelf so that the books on the same subject always remain together .The possible arrangements are .  
Option 1 : 1440  Option 2 : 1956  Option 3 : 720  Option 4 : none of these  


Ques 148 : Choose the correct answer.  
The number of possible selections of one or more questions from 8 given questions, each question having an alternative, is  
Option 1 : 2^{8}1  Option 2 : 3^{8}1  Option 3 : 4^{8}1  Option 4 : none of these  


Ques 149 : Choose the correct answer.  
A five digit number divisible by 3 is to be formed using numerals 0,1,2,3,4 and 5 without repetition. The total number of ways this can be done is  
Option 1 : 216  Option 2 : 240  Option 3 : 600  Option 4 : 3125  


Ques 150 : Choose the correct answer.  
Let A be containing 10 distinct elements ,then the total number of distinct functions from A to A IS  
Option 1 : 10!  Option 2 : 10^{10}  Option 3 : 2^{10}  Option 4 : 2^{10}1 