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The question is followed by two statements, A and B. Choose the most appropriate option given below.
A ladder is inclined from the ground onto the fifth floor of a building. What is the length of the ladder?
A. The ladder makes an angle of 56.87° with the ground and the building has fifteen floors in all.
B. The bottom of the ladder and the building are 47.89 m apart and the ladder is inclined at an angle of 45° with the ground.
The question is followed by two statements, A and B. Choose the most appropriate option given below.
What is the value of x and y? x and y are integers.
I. 12x  4y = 48 and 30x  l0y = 120
II. 32^{x }= 45^{y}
The question is followed by two statements, A and B. Choose the most appropriate option given below.
What is the profit percentage made by a shopkeeper if he sells one dozen bananas?
I. The cost price of a banana is equal to half the selling price.
II. The profit is same as the cost price.
The question is followed by two statements, A and B. Choose the most appropriate option given below.
A. x is a multiple of 7.
B. x = 4^{n} where n is an integer such that n [0, 3).
The question is followed by two statements, A and B. Choose the most appropriate option given below.
What is the area of triangle ABC?
A. The length of the circumradius is 4 cm.
B. The perimeter of the triangle is 36 cm and the triangle has the maximum possible area.
The question is followed by two statements, A and B. Choose the most appropriate option given below.
What will be the date on the last Saturday of April 2064?
A. 6th April 2064 will be a Friday.
B. The last day of April 2064 will be a Thursday.
A and B are employed to complete a work. When A worked at twice his normal efficiency and B worked at half his normal efficiency, the work was completed in 17 days. Had A worked at five times his normal efficiency and B worked at onefourth of his normal efficiency, the work would have been completed in 10 days. If B works alone, how many days does he need to complete the work?
What is the number of 4digit numbers which when divided by 7 and 9 leave a remainder of 3 in each case?
There is a cube of volume 125 m^{3}. Its faces are to be covered by sticking handmade paper and wrapping paper on them for a craft project in the following way. Three faces of the cube are to be covered fully with handmade paper. Two other faces are to be covered using 4 strips of wrapping paper and 4 strips of handmade paper for each face, each strip of an area equal to (1/8)th of a face of the cube. The remaining face is to be covered half by each kind of paper. What is the product of the surface area of the cube covered by handmade paper and that covered by wrapping paper?
A shopkeeper sells a TV at 20% profit. The cost price of this TV and selling price of a radio differ by Rs. 100, with the cost price of the TV being higher. He incurs a loss of 25% on the transaction of the radio. What is the net profit/loss in the two transactions taken together?
ABCDEF is a regular hexagon. A circle passes through the vertices A and D as shown below. If the radius of the circle is 10 cm, and the centre of the circle is 6 cm away from AD, what is the distance of BC from the centre of the circle?
There are three groups of students M1, M2 and M3, having 20, 30 and 40 students respectively. If one student each from M1 and M3 leave their respective groups and join M2, the average weight of M1 and M3 decreases by 2 kg each and the average weight of M2 increases by 3 kg. By how much (in kg) does twice the average weight of M2 differ from sum of the average weights of M1 and M3?
Two varieties of cheese i.e. A and B are mixed in the ratio 2:1 and sold at Rs. 46 per kg. If cheese B costs Rs. 50 per kg and the dealer has sold the mixture at cost, what is the price of cheese A (in Rs. per kg)?
The product of digits of a threedigit positive integer n is 6. If n has 16 factors, what is the sum of digits of n?
There are two circular tables with six and eight chairs respectively. In how many ways can 14 people sit around the two circular tables?
On a busy Monday morning a certain number of cyclists started from Borivali towards Churchgate. At the Malad junction, half of these cyclists entered Malad while 1/5 of the remaining cyclists joined the cyclists going towards Chuchgate. The same thing happened at Andheri, Santacruz, Bandra and Dadar. No cyclist joined or left the group thereafter. Finally 486 cyclists reached Churchgate. How many cyclists started from Borivali?
If A(7, 5), B(3, 4) and C(1, k) form an isosceles triangle, k can be,
Each of Shyam and Ram has some chocolates. If Shyam gives five chocolates to Ram, both will have equal number of chocolates. If Ram gives the same number of chocolates to Shyam, Shyam would have twice the number of chocolates as Ram. How many chocolates does Ram originally have?
n^{th} term of an AP, consisting of only positive integers, is denoted by a_{n}. It is given that a_{3 }= 4 and a_{N  2} = 9. What is the value of (a_{N} + 2N + 2)?
What is the radius of the largest circle drawn between the lines 3x + 4y  5 = 0 and 6x + 8y  15 = 0?
Aladdin tosses five coins. What is the probability of getting even number of heads and odd number of tails?
For a function defined as m(x) = 4x^{3 } 5x^{2 }+ 2x + 13, it is known that m(0) < k + 5 and m(1) > k  15. Which of the following can be a value of k?
The average amount with x students in a class is Rs. 35. If 4 students with an average amount of Rs.15 leave the group, the average amount now w ith the students would be the same as the amount if 2 students with an average amount of Rs. 90 join the group. How many students does the class have?
There are 2 metal pillars k m apart such that the height of one metal pillar is twice that of the other. Standing exactly between the base of the two pillars, a tourist observes that the angle of elevation to the top of the two pillars forms a pair of complementary angles. What is the height (in m) of the shorter pillar?
How many real values of x satisfy the equation.
log_{(x + 1)}(2x  1) + 2 log_{(2x  1)}(x + 1) = 3?
A clock is set at 6 a.m. Let the time when the minute and hour hand are together for the first time and the second time be x and y respectively. What is y  x?
After selling 70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?
How many integral values of x satisfy x + 1 + x + x  1 + x  2 = 7?
Group Question
Answer the following question based on the information given below.
The table below shows the percentage breakup of the fields in which the students that passed from a Bschool applied for jobs.
The table below shows the average starting salary for some of these fields.
The graph below shows the number of students that passed out from this Bschool in each year. Only students who passed out could apply for jobs, and all of them did so.
Q. If ‘Others’ comprises only Systems and HR, and the number of students applying for HR jobs each year was the same, what is the least number of students who applied for Systems jobs over the given period?
The table below shows the percentage breakup of the fields in which the students that passed from a Bschool applied for jobs.
The table below shows the average starting salary for some of these fields.
The graph below shows the number of students that passed out from this Bschool in each year. Only students who passed out could apply for jobs, and all of them did so.
Q. In 2009, 25% of the students applying for Marketing jobs applied to Nefertiti, a confectionary major. If only half of them were selected and Nefertiti paid them 10% above the average starting salary, what was Nefertiti’s monthly salary outflow on these recruits?
The table below shows the percentage breakup of the fields in which the students that passed from a Bschool applied for jobs.
The table below shows the average starting salary for some of these fields.
The graph below shows the number of students that passed out from this Bschool in each year. Only students who passed out could apply for jobs, and all of them did so.
Q. By what percentage did the average salary for this Bschool increase from 2010 to 2011?
The table below shows the percentage breakup of the fields in which the students that passed from a Bschool applied for jobs.
The table below shows the average starting salary for some of these fields.
The graph below shows the number of students that passed out from this Bschool in each year. Only students who passed out could apply for jobs, and all of them did so.
Q. The total amount earned by the students applying for Finance jobs in 2010 was what percent of the total amount earned by the students appyling for Operations jobs in 2012?
A wooden box contains exactly 12 nuts and 24 bolts. Onethird of the bolts and onethird of the nuts are defective. If two items are picked from the box up one after the other without replacement, what is the probability that neither item is defective?
MN is a chord of a circle of radius 14 cm. Chord MN subtends a right angle at the center O of the circle. Find the area of the minor segment MCNO, where C is a point on minor arc MN.
Which of the following statements is/are true?
a. A perfect square always has an odd numbers of factors.
b. If a number n has five factors between 1 and the square root of n (n is a perfect square), then n has 13 factors.
c. 72 has 11 factors.
Group Question
Answer the following question based on the information given below.
In a certain country, the movement of the oil and gas industry is dependent on the movement of 3 stocks, A, B and C.
The charts below show the performance of the three stocks over a period of 10 days. X can correspond to any of three stocks, and so can Y.
The oil and gas index of the country is calculated as 3A + 2B + C. The index is said to have ‘Risen’ if all the stocks go up on that day. It is said to be ‘steady’ if 2 stocks go up that day. It is said to be “declining” if only a single stock goes up while it is said to have “plunged” if none of the stocks go up that day.
Answer the following questions based on the information above.
Q. How many days did the index “decline”?
In a certain country, the movement of the oil and gas industry is dependent on the movement of 3 stocks, A, B and C.
The charts below show the performance of the three stocks over a period of 10 days. X can correspond to any of three stocks, and so can Y.
The oil and gas index of the country is calculated as 3A + 2B + C. The index is said to have ‘Risen’ if all the stocks go up on that day. It is said to be ‘steady’ if 2 stocks go up that day. It is said to be “declining” if only a single stock goes up while it is said to have “plunged” if none of the stocks go up that day.
Answer the following questions based on the information above.
Q. What is the maximum rise in the value of index from day 1 to day 10?
In a certain country, the movement of the oil and gas industry is dependent on the movement of 3 stocks, A, B and C.
The charts below show the performance of the three stocks over a period of 10 days. X can correspond to any of three stocks, and so can Y.
The oil and gas index of the country is calculated as 3A + 2B + C. The index is said to have ‘Risen’ if all the stocks go up on that day. It is said to be ‘steady’ if 2 stocks go up that day. It is said to be “declining” if only a single stock goes up while it is said to have “plunged” if none of the stocks go up that day.
Answer the following questions based on the information above.
Q. What is the least possible value of the index?
In a certain country, the movement of the oil and gas industry is dependent on the movement of 3 stocks, A, B and C.
The charts below show the performance of the three stocks over a period of 10 days. X can correspond to any of three stocks, and so can Y.
The oil and gas index of the country is calculated as 3A + 2B + C. The index is said to have ‘Risen’ if all the stocks go up on that day. It is said to be ‘steady’ if 2 stocks go up that day. It is said to be “declining” if only a single stock goes up while it is said to have “plunged” if none of the stocks go up that day.
Answer the following questions based on the information above.
Q. If the value of the index is 105.5 on day 1, what is its value on day 3?
On Monday, Mohsin increased the speed of car by 25% as compared to his usual speed and reached office 16 minutes earlier. On Tuesday, Mohsin took a longer route to the office and travelled with his usual speed. If on Tuesday, he reached office 20 minutes late, then how many percent more did Mohsin travel to reach office?
A parallelogram with an internal angle of 150° has an area of 48 sq.cm and a perimeter of 40 cm. What is the length of the adjacent sides of the parallelogram (in cm)?
What is the range of x that satisfies the inequality 3x^{2}  5 > 5x + 3
Group Question
Answer the following question based on the information given below.
The table below gives the national income and the population of a country for the years 200910 to 201415.
Q. What was the average of the annual per capita income (in Rs.) over the given period?
The table below gives the national income and the population of a country for the years 200910 to 201415.
Q. What is the difference (in Rs. crore) between the average national income for the given period and the national income for the year having the highest per capita income?
The table below gives the national income and the population of a country for the years 200910 to 201415.
Q. Which year sees the least percentage growth in the per capita income?
The table below gives the national income and the population of a country for the years 200910 to 201415.
Q. In 201516, the national income and per capita income increased by 25% and 35% respectively. If the population of each year was to be ranked from onwards in ascending order of population, where would 201516 be ranked?
A alone can complete some work in 6 days more than what B alone needs to complete it. A started the work and worked alone for 7 days. As soon as he left, B took over and completed the work in 10 more days. In how many days can A and B individually complete the work?
1 docs29 tests

NMAT Logical Reasoning MCQ Quiz  1 Test  40 ques 
NMAT Logical Reasoning MCQ Quiz  2 Test  40 ques 
NMAT Logical Reasoning MCQ Quiz  3 Test  40 ques 
1 docs29 tests

NMAT Logical Reasoning MCQ Quiz  1 Test  40 ques 
NMAT Logical Reasoning MCQ Quiz  2 Test  40 ques 
NMAT Logical Reasoning MCQ Quiz  3 Test  40 ques 