CAT Questions

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Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y

Difference = 14
=> 7x - 7y = 14
=> x - y = 2

product of numbers = product of their hcf and lcm
=> 7x * 7y = 441 * 7
=> x * y = 63

Now, we have
x * y = 63 , x - y = 2
=> x = 9 , y = 7

The numbers are 7x and 7y
=> 63 and 49

In one hour, the minute hand gains 330° over the hour hand. i.e., 60 minute, the minute hand gains 330° over the hour hand.

∴ In 16 minutes, the minute hand gain over the hour hand by

Let the amounts to be received by P, Q and R be p, q and r.
p + q + r = 1200
p = 1/2 (q + r) => 2p = q + r

Adding 'p' both sides, 3p = p + q + r = 1200
=> p = Rs.400

q = 1/3 (p + r) => 3q = p + r

Adding 'q' both sides, 4q = p + q + r = 1200
=> q = Rs.300

r = 1200 - (p + q) => r = Rs.500.

A leap year has 52 weeks and two days
Total number of cases = 7
Number of favourable cases = 1
i.e., {Friday, Saturday}

Required Probability = 1/7

Let C.P. = Rs. C.
Then, 832 - C = C - 448
2C = 1280 => C = 640
Required S.P. = 150% of Rs. 640 = 150/100 x 640 = Rs. 960.

Chenab River in Jammu & Kashmir in next 2 years. Its height is 359 mts i.e 35mts more than the height of Eiffel Tower.

If an outstanding check of the previous month clears the bank (is paid by the bank) in the current month, you simply remove that check from the list of outstanding checks.

If an outstanding check of the previous month does not clear the bank in the current month, the check will remain on the list of outstanding checks until the month that it does clear the bank.

In the bank reconciliation process, the total amount of the outstanding checks is deducted from the balance appearing on the bank statement.

Since the narrator has no brother, his father’s son is he himself. So, the man who is talking is the father of the man in the photograph. Thus, the man in the photograph is his son.