## JEMAT - MATHEMATICS

- There are 40 questions to complete.
- Time- 60 min
- No negative marking.
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Question 1 |

When a number is divided by 8, the remainder is 6 and when the same number is divided by 7, the remainder is 5, what is the number ?

A | 51 |

B | 37 |

C | 54 |

D | Data Inadequate |

Question 2 |

First 100 multiplies of 10, i.e., 10 , 20, 30 1000 are multiplied together. The number of zero at the end of the product will be ?

A | 100 |

B | 111 |

C | 120 |

D | 125 |

Question 3 |

4 men and 10 women were put on a work. They completed 1/3 of the work in 4 days. After this 2 men and 2 women were increased. They completed 2/9 more of the work in 2 days. If the remaining work is to be completed in 3 days, then how many more women must be increased ?

A | 32 |

B | 8 |

C | 50 |

D | 55 |

Question 4 |

Four horses are tied on the four corners if square field of 14 m length so that each horse can just touch the other two horses. The were able to graze in the area accessible to them for 11 days. For how many days is the ungrazed area sufficient for them ?

A | 3 days |

B | 4 days |

C | 5 days |

D | 2 days |

Question 5 |

How many numbers between 200 and 600 are divisible by 4, 5 and 6 ?

A | 5 |

B | 9 |

C | 7 |

D | 8 |

Question 6 |

The numbers 1, 3, 5, 25 are multiplied together. The number of zeros at the right end of the product is

A | 1 |

B | 0 |

C | 2 |

D | 3 |

Question 7 |

Of all the chords of a circle passing through a given point in it, the smallest is that which :

A | Is trisected at the point |

B | Is bisected at the point |

C | Passage through the center |

D | None of these |

Question 8 |

If 5 men and 2 boys working together can do four times as much work per hour as aman and a boy do together, the ratio of the work of a man to that of a boy for a given time is ?

A | 2:1 |

B | 1:2 |

C | 3:1 |

D | 1:3 |

Question 9 |

A man has 1044 candles. After burning, he can make a new candle from 9 stubs left behind. Find the maximum number of candles that can be made ?

A | 116 |

B | 120 |

C | 133 |

D | 140 |

Question 10 |

A rhombus OABC is drawn inside a circle whose center is at O in such a way that the Vertices A, B, and C of the rhombus are on the circle. If the area of the rhombus is 32√2m , then the radius of the circle is :

A | 64 m |

B | 8 m |

C | 32 m |

D | 46 m |

Question 11 |

If it takes 10 days to dig a trench 100 m long, 50 m broad and 10 m deep, what length of trench 25 m broad and 15 m deep can be dug in 30 days ?

A | 400 m |

B | 200 m |

C | 300 m |

D | 800 m |

Question 12 |

There are two examination rooms and B. If 10 candidates are sent from A to B, then the number of students in each room becomes the same. If 20 candidates are sent from B to A, then the number of students in A becomes double the number of students in B. Find the number of students in each room.

A | 100 in A and 80 in B |

B | 80 in A and 100 in B |

C | 120 in A and 100 in B |

D | 100 in A and 120 in B |

Question 13 |

Two cyclists start on a circular track from a given point but in opposite directions with speeds of 7 m/sec and 8 m/sec respectively. If the circumference of the circle is 300 meters,after what time will they meet at the starting point ?

A | 100 sec |

B | 200 sec |

C | 300 sec |

D | 20 sec |

Question 14 |

In a zoo, there are rabbits and pigeons. If their heads are counted, these are 90 while their legs are 224. find the number of pigeons in the zoo.

A | 70 |

B | 68 |

C | 72 |

D | 22 |

Question 15 |

What least number must be subtracted from each of the numbers 14, 17, 34 and 42 , so that the remainders are proportional ?

A | 0 |

B | 1 |

C | 2 |

D | 7 |

Question 16 |

The traffic lights at three different road crossing change after every 48 seconds, 72 seconds and 108 seconds respectively. If they all change simultaneously at 8 : 20 hours, then at what time will they again change simultaneously ?

A | 8:20:08hrs |

B | 8:24:10hrs |

C | 8:27:12hrs |

D | 8:30:15hrs |

Question 17 |

There were two candidates in an election. 10% of the voters did not vote. 60 votes were declared invalid. The elected candidate got 308 votes more than his opponent. If the elected candidates got 47% of the total votes, how many votes did each candidate get ?

A | 2316 and 2012 |

B | 2629 and 2324 |

C | 2871 and 2575 |

D | 2914 and 2606 |

Question 18 |

If (a+b+2c+3d)(a-b-2c+3d) = (a-b+2c-3d)x(a+b+2c-3d), then 2bc is equal to :

A | 3ad |

B | 3/2 |

C | ad |

D | 3a/2d |

Question 19 |

A room has 3 lamps. From a collection of 10 light bulbs of which 6 are not good, a personselects 3 at random and puts them in a socket. The probability that he will have light is

A | 5/6 |

B | 1/2 |

C | 1/6 |

D | None of these |

Question 20 |

The H.C.F. and L.C.M. of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300, then the two numbers are :

A | 273 , 357 |

B | 273 , 361 |

C | 273 , 359 |

D | 273 , 363 |

Question 21 |

In a committee, 50 people speak French, 20 speak Spanish and 10 speak Spanish and French. The number of persons speaking at least one of these two languages is :

A | 60 |

B | 40 |

C | 38 |

D | None of these |

Question 22 |

The ages of the two persons differ by 20 years. If 5 years ago, the older one be 5 times as old as the younger one, then their present ages, in years, are

A | 25 , 5 |

B | 30 , 10 |

C | 35 , 15 |

D | 50 , 30 |

Question 23 |

If an area enclosed by a circle or a square or an equilateral triangle is the same, then the maximum perimeter is possessed by :

A | circle |

B | square |

C | equilateral triangle |

D | both triangle and square |

Question 24 |

If two diameters of a circle intersect each other at right angles, then the quadrilateral formed by joining their end points is a :

A | Rhombus |

B | Rectangle |

C | Square |

D | Parallelogram |

Question 25 |

In order that the number 1 Y 3 Y 6 is divisible by 11, the digit Y should be

A | 1 |

B | 2 |

C | 5 |

D | 6 |

Question 26 |

Two isosceles triangles have equal vertical angles and their areas are in the ratio 9 : 16. The ration of their corresponding heights is :

A | 3:4 |

B | 4:3 |

C | 2:1 |

D | 1:2 |

Question 27 |

Two taps can fill a tank in 15 and 12 minutes respectively. A third tap can empty it in 20 minutes. If all the taps are opened at the same time then in how much time will the tank be filled ?

A | 8 minutes |

B | 10 minutes |

C | 11 minutes |

D | 20 minutes |

Question 28 |

There are 100 students in a college class of which 36 are boys studying statistics and 13 girls in all, the probability that boy picked up at random is not studying, statistics, is :

A | 3/5 |

B | 2/5 |

C | 1/5 |

D | None of these |

Question 29 |

Students of a class are preparing for a drill and are made to stand in a row. If 4 students are extra in a row, then there would be 2 rows less. But there would be 4 more rows if 4 students are less in a row. The number of students in the class is :

A | 96 |

B | 56 |

C | 69 |

D | 65 |

Question 30 |

In a quadrilateral ABCD, LB = 90 and AD = AB +BC +CD,then LACD is equal to :

A | 90° |

B | 60° |

C | 30° |

D | None of these |

Question 31 |

If a, b, c are real numbers such that : a-b+c<1 a + b + c > -1 and 9 a + 3 b +c < -4, then what is the sign of "a" ?

A | "+" only |

B | ' ' |

C | '+' or ' -' |

D | Cannot say |

Question 32 |

The sum of two numbers is 462 and their highest common factor is 22. What is the maximum number of pairs that satisfy these conditions ?

A | 1 |

B | 3 |

C | 2 |

D | 6 |

Question 33 |

Let ABC be an acute-angled triangle and CD be the altitude through C. If AB = 8 and CD = 6, then the distance between the mid-points of AD and BC is

A | 36 |

B | 25 |

C | 27 |

D | 5 |

Question 34 |

If the polynomial f (x) is such that f (-43 ) = 0, then a factor of f (x) is :

A | x - 43 |

B | x |

C | x - 7 |

D | x + 43 |

Question 35 |

If three equal cubes are laced adjacently in a row, then the ratio of the total surfacearea of the new cuboid to that of the sum of the surface areas of the there cubes will be

A | 5:9 |

B | 1:3 |

C | 2:3 |

D | 7:9 |

Question 36 |

Several liters of acid were drawn off a 54 liter vessel full of acid and an equal amount of water added. Again the same volume of the mixture was drawn off and replaced by water. As a result the vessel contained 24 liters of pure acid. How much of the acid was drawn off initially ?

A | 12 litres |

B | 16 litres |

C | 18 litres |

D | 24 litres |

Question 37 |

The sum of the three consecutive even numbers is 28 more than the average of these three numbers. What is the first of these three numbers ?

A | 14 |

B | 12 |

C | 16 |

D | None of these |

Question 38 |

Three dealers A, B, and C offer an article at the same list price. A allows a series of discount of 25% and 15%. B allows a series of discount of 10% and 30%, while C offers a single discount of 36%. Then

A | A's offer is best |

B | All the offers are the same |

C | B's offer is best |

D | C's offer is best |

Question 39 |

How many 5 digit numbers can be formed by using all the digits 0, 2, 4, 7 and 5 not divisible by 75 ?

A | 14 |

B | 18 |

C | 78 |

D | 82 |

Question 40 |

Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 person for the job. The probability will be a woman is

A | 25/39 |

B | 14/39 |

C | 5/13 |

D | 10/13 |

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