Quants for CAT07 - 15

Q1. Consider a chessboard of size 16 x 16 (instead of the standard 8 x 8), what is the total number of squares on such a chessboard?
a. 256                 b. 408                     c. 1396                       d. 1496

 

Q2. Air is blown at the rate of 49cc/sec into a spherical balloon. If at this moment, the radius is 7cm and the balloon will explode when it reaches a radius of 28 cm, find how much longer it would take for the balloon to explode?
a. 30.8 minutes         

b. 184.8 minutes            
c. 1848 minutes
d. None of these

 

Q3. From a solid cone of height 6cm and radius 6√2 cm, the maximum possible cube is cut. What is the volume of the remaining portion of the cone?
a. 128π - 16

b. 133.33π - 64
c. 144π - 64
d. 400p π - 64

 

Q4. A number when divided by 11, 7 and 4 leaves respective remainders of 7, 4 and 1. Instead, if the number is successively divided by 4, 7 and 11, what is the reminder in the division by 7?
a. 4                       b. 3                   c. 7                             d. None of these

Direction for Q5 to Q7

Digits from 1 – 6 are arranged, without repetition to form a six-digit number such that the number formed from the first two digits from the left is divisible by 2, that from the first 3 is divisible by 3, that from the first four digits is divisible by 4 and that from the first five digits is divisible by 5?

Q5. How many six-digit numbers can be formed satisfying the given conditions?
a. 2                        b. 4                     c. 6                             d. 5

 

Q6. If the digit in the unit place is 3, then what is the digit in the hundreds place?
a. 2                         b. 4                     c. 6                     d. Cannot be determined uniquely

 

Q7. How many different digits are possible in the first position from left?
a. 3                     b. 1                        c. 4                        d. 2

 

Q8. If 4 is the digit in second place from left, what is the digit in the third place from the left

a. 1                      b. 6                        c. 2                               d. 3
__________________

n/a

Q1. Consider a chessboard of

Q1. Consider a chessboard of size 16 x 16 (instead of the standard 8 x 8), what is the total number of squares on such a chessboard?
a. 256                 b. 408                     c. 1396                       d. 1496

Ans: 1496

Q2. Air is blown at the rate

Q2. Air is blown at the rate of 49cc/sec into a spherical balloon. If at this moment, the radius is 7cm and the balloon will explode when it reaches a radius of 28 cm, find how much longer it would take for the balloon to explode?

ANS:  30.8 minutes        

Q4. A number when divided by

Q4. A number when divided by 11, 7 and 4 leaves respective remainders of 7, 4 and 1. Instead, if the number is successively divided by 4, 7 and 11, what is the reminder in the division by 7?

ANS: 4 (NO- 249)
how did u get this

how did u get this answer?

 

Where I am wrong (q4 -q8)
Possible 3, 4 and 5 positions are
Case 1 : _  _  1  2  5 _
Case 2 : _  _  1  6  5 _
Case 3 : _  _  2  4  5 _
 
CASE 1 : _  _  1  2  5 _
The second place can be filled up either by 4/6
(i)
_  4  1  2  5 _     left with two numbers 6 and 3. but if we put 3/6 in first place from left then the first 3 digit wont be divisible by 3
So no possible numbers
(ii)
_  6  1  2  5 _     left with two numbers 4 and 3. but if we put 3/4 in first place from left then the first 3 digit wont be divisible by 3
So no possible numbers
 
 
CASE 2 : _  _  1  6  5 _
The second place can be filled up either by 2/4
(i)
_  2  1  6  5 _    left with two numbers 4 and 3. but if we put 4 in first place from left, then the first 3 digit wont be divisible by 3
So only possible number is 3 2  1  6  5 4
 
(ii)
_  4  1  6  5 _    left with two numbers 2 and 3. but if we put 2/3 in first place from left, then the first 3 digit wont be divisible by 3
So no possible numbers
 
 
CASE 3 : _  _  2  4  5 _
The second place can be filled up by 6
_  6  2  4  5 _  left with two numbers 1 and 3. but if we put 3 in first place from left, then the first 3 digit wont be divisible by 3

So only possible number is 1  6  2  4  5  3

 

Hi

Can you explain how you got this answer.....................

According to me it is 408..................................................

Hi Neel

Hi,

Can you explain Q.1,3 and 4....................

How did you get the number as 249?

In question 1 is there any twist????????

hi

great pic of lingaraj temple......................

q4-8 what about 126453,243651,321654 apart from your answer.....................162453.

@ somroop
Thanks som

I was also wandering where I  m lost. .

Q1. Consider a chessboard of

Q1. Consider a chessboard of size 16 x 16 (instead of the standard 8 x 8), what is the total number of squares on such a chessboard?
a. 256                 b. 408                     c. 1396                       d. 1496

 

ANS: The chess board will have sq of 1 x 1 , 2x2 , 3x3,......., 16x16

Hence total sq = 12 + 22 + 32 + ......................+ 162 = 1496

 

Q4. A number when divided by 11, 7 and 4 leaves respective remainders of 7, 4 and 1. Instead, if the number is successively divided by 4, 7 and 11, what is the reminder in the division by 7?
a. 4                       b. 3                   c. 7      

 

Use "CHINESE REMAINDER THEOREM" to get the ans as 4 (NO- 249)

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