Official Quant thread for CAT 2013

Alord received a large order for stitching school uniforms from Mayflower School and Little Flower School. He has two cutters who will cut the fabric, five tailors who will do the stitching, and two assistants to stitch the buttons and button holes. Each of these 9 persons work for 10 hrs in a day (though their working hours may not be the same). Each of the Mayflower uniform requires 20 min for cutting the fabric, 1 hr for stitching, and 15 min for stitching buttons and button holes, whereas the Little Flower uniform requires 30 min, 1 hr, and 30 min respectively for these activities.


Following steps are followed, to complete the work:Step I: Cutter will cut fabric.Step II: Tailor will do the stitching.Step III: Assistant will stitch the buttons and button holes

.

On a particular day, Alord decided to complete 20 Little Flower uniforms. How many Mayflower uniforms can he complete on that day?

a. 40

b.30

c. 24

d.10

e. cannot be determined


S is a set containing all the integers less than 21000, which are the product of three consecutive prime numbers. N is a non-empty subset of S, in which all the elements are relatively prime to each other.If the number of elements in N is maximum possible, then how many such distinct subsets are possible?

:splat:

Find the number of integral solutions of the equation p^2 = 388+q^2


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0 voters

Approach for this Q

A tank is fitted with two taps A and B. The tank can be filled by opening A for two hours and B for nine hours or alternately by opening A for three hours and B for six hours. If the tank has to be filled using only A, how many hours will it take?

find the maximum value of 94 / (49 x^12 -4 x^6 +2)


sorry if it is a spam!! but I find ppl repeatedly posting AIMCAT questions during the test window period which is seriously disgusting!! Especially during Non Inv mode I find ppl posting questions one by one in this thread while taking the test. To all those folks: it is useless!! your score might show 99 but you will never know where you stand!! wake up! Be sensible! And allow others also to have the surprise element and don kill it!ATB

In how many ways can 16200 be written as a product of two factors which are relatively prime?

A. 3

B. 4

C. 7

D. 8

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A flag-post is placed on the top of a building of height 200 m. The angles of elevation of the top of the flag-post observed from the foot and the top of another nearby building of height 150 m, are 60° and 30° respectively. Find the height of the flag-post.

A. 75 m

B. 25 m

C. 37.5 m

D. 100 m

  • 75 m
  • 37.5 m
  • 100 m
  • 25 m

0 voters

6 students A,B,C,D,E,F take an aptitude exam and their scores are in the order A > B > C >D >E >F
When their teachers P through V are asked about their marks they had this to say :

P - total of exactly 5 of the students is 232
Q - total of exactly 5 of the students is 238
R -
total of exactly 5 of the students is 244

S - total of exactly 5 of the students is 245

T- total of exactly 5 of the students is 250

U - total of exactly 5 of the students is 256

V -total of exactly 5 of the students is 235

Exactly one of the teachers is lying.


Question 1 :

Difference between the highest and the lowest score is ?

a. 21 b. 24. c.18 d.Cannot be determined


Question 2 :

Second highest score is ?

a.55 b.56 c. 55 or 56 d. cannot determine


Question 3:

Which teacher is lying ?


Please share your approach to these kinds of problems..


LOD1

The average score of a class of 40 students is 52. What will be the average score of rest of the students if the average score of 10 of the students is 61 ?

50

47

48

51

49

A train travels 8 Km in the first quater of an hour, 6km in second quater and 40 km in third quater. Find the average speed of the train per hour over the entire journey ?

a. 64.615

b. 68

c. 62.832

d. 78.5

e. 72 (edited)

54+x

------------------------------------- ??

8/1/4+6/1/4+40/1/4+x/1/4

The average salary per head of all the workers in a company is 95/-
The average salary of 15 Officers in that company is 525/-

and the average salary per head of rest of the employee in that company is 85/-

Find the total number of workers in the workshop ??

660
580
650
460


W*95 + 15*525 + Rest*85
---------------------------------------
W + 15 + Rest

what is the sum of all angles in a five legged star? puys ans urgent pls...also tell the approach

a reduction of 12% in price of oil enables raj to buy 5.6ltrs more for rs.840 find the reduced price per litre?



Out of 210 accidents that occurred on the DND Flyway, 50 resulted in Head Injury, 105 in Chest Injury and 56 in Limb Injury. 32 suffered both Head and Chest Injury, 30 suffered both Head and Limb Injury and 45 suffered both Limb and Chest Injuries.


Find the maximum number of people who suffered at least one injury.

options
a)123
b)134
c)133
d)none of these

Find the minimum number of people who suffered at least one injury.

a)121
b)123
c)134
d)none f these

approach please


@sannidhya87 pdf (set theory) (questions)

some1 pls clarify tis!! odds in favour, odds against, probability of occurence, and non occurence of the events!!

There are 42 students in a hostel. Due to the admissions of 13 new students, The expenses of mess increased by 31 /- per day and Expenditure per head is diminished by 3/-.
What was the original expendiure of Mess ?

633.23
583.3
623.3
632