Official Quant thread for CAT 2013

A two-digit number x, when increased by x% becomes a perfect square 'y'. Find y.

1) 324

2) 289

3) 256

4) 196

5) 144

LAST QUESTION:

19. How many numbers below 100 can be expressed as a difference of 2 perfect squares in only one way ?

a. 15

b. 25

c. 35

d. 45

A test has 20 questions, with 4 marks for a correct answer, –1 mark for a wrong answer, and no marks for an unattempted question.

Two people took the test, attempting 11 questions each. Which of the following cannotbe the sum of their scores?

1) 22 2) 23

3) 33 4) 88


A train started at 9:00 a.m. at station X with a speed of 72 kmph. After two hours, another train started at station Y towards X with a speed of 90 kmph. The two trains are expected to cross each other at 1:30 p.m. Owing to a signal problem arising at 12 noon, the speed of each of them was reduced by the same quantity and they crossed each other at 4:30 p.m.

1.What is the new speed of the train that started from station X?

2. If the signal problem had occurred at 1:00 p.m. instead of 12 noon, at what time would the two trains have crossed each other

A sphere is put on an open cubical box of edge length 10 units. It only reaches a depth of 1 unit in the box. Find the radius of sphere.

A. 9 units

B. 11 units

C. 13 units

D. 15 units

1. Inhabitants of of planet Romeo use a number system similar to decimal system here on earth except that it has eleven digits instead 10. The extra digit “x” is b/w 7 and 8. Now x-7=8-x=1. An inhabitant of Romeo evaluated an expression and arrived at an answer '6x' Then which can be the expression which was solved by the inhabitant?

a. X^2+X-1

b. X^2+X+1

c. X^2+X+2

None

40 consecutive numbers are written when one of the numbers is erased average of remaining 39numbers is 45. find the number erased

consecutive natural numbers from 1 are written .a student erases 3 consecutive numbers of the series average of the numbers now is 414/19.. find average of erased numbers??

Nimai and Nitai start running simultaneously from opposite ends (T and G) of a 100m straight racing track with speeds of 4m/s and 2.5m/s respectively. They turn instantaneously at ends without losing time. Further they interchange their speed and direction whenever they meet along the racing track. Where do they meet for the third time

A. (100/3)m from G
B. (200/3)m from G
C. (200/13)m from G
D. (100/13)m from G

E. (200/13)m from T

average marks of students who scored more than 70% marks is 74%. the average of all students who scored more than or equal to 60% is 68%. of the students scoring more thAN or equal to 60% atleast what percent of students have scored between 60% and 70%???
1.25 2.30 3.34.25 4.42.84

Amit covers a certain distance with his own speed,but when he reduces his speed by 10 km/h his time duration for the journey for the journey increases by 40 hours, while if he increases his speed by 5 km/m from his original speed he takes 10 hours less than the original time taken. find the distance covered by him.

Pls use Oral approach only. Don't make an Equation.


find the no. of three element sets of distinct positive integers (a,b,c),such that abc=210

How many natural numbers 'n' satisfy the inequality 5^100


If one of the digits of Z, a two-digit number, is added to the square of the other digit, Z is obtained. How many values of Z are possible?


if the ratio of an m sided polygon and an n sided polygon is in the ratio of 3:4 then wich of the following cannot be the value of (m+n)?

1x2x3x4+2x3x4x5+....................10x11x12x13............??????????

log(base 3)x-log(base x)27


How many four digit numbers are divisible by 5; and end in 2 and c when written in base 6 and 16 respectively? Assume that cin base 16 corresponds to 12 in the decimal number system.




explain karne mat bhulna..

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0 voters

A train started at 9:00 a.m. at station X with a speed of 72 kmph. After two hours, another train started at station Y towards X with a speed of 90 kmph. The two trains are expected to cross each other at 1:30 p.m. Owing to a signal problem arising at 12 noon, the speed of each of them was reduced by the same quantity and they crossed each other at 4:30 p.m.

1. If the signal problem had occurred at 1:00 p.m. instead of 12 noon, at what time would the two trains have crossed each other?

In the X-Y plane, the area of the region bounded by the graph |x + y| +| x-y| = 4 is