Reasoning: A number ending with 7 can never be a perfect square.
Ans: (D)
Question: How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 7 ?
Options:
(A) 3
(B) 1
(C) 4
(D) 0
(E) 2
Rationale: Each crate requires 2 apples and totally there are 10 crates so required apples = 10 * 2 = 20
The answer: (D)
Question: If 10 crates have 98 apples each and how many apples more is required in order to make 100 apples in each crate?
Options:
(A) 5
(B) 10
(C) 15
(D) 20
(E) 0
Reasoning: Total members in the group = 7
Average amount = Rs. 30
Total amount with them = 7 * 30 = Rs. 210
One number has Rs. 50. So, the amount with remaining 6 people = 210 - 75 = Rs. 135
The average amount with them = 135/6 = Rs. 45/2
Ans: (B)
Question: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 75 with him, what was the average amount with the group before his joining the group?
Options:
(A) s. 25.6
(B) s. 45/2
(C) s. 16.6
(D) s. 26
(E) s. 25/2
Rationale: His savings in 1 year = 1/4 - (1/8+ 1/12) = 1/24
He can buy a new house in 24 years
The answer: (E)
Question: A man can buy a new house in 4 years with all of his earnings. But he spend the same amount in household expenses in 8 years and for savings in 12 years. How many time needed for buying the house?
Options:
(A) 12
(B) 20
(C) 30
(D) 15
(E) 24
Reasoning: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 340 = 700 m
Required time = 700 * 2/25 = 56 sec
Ans: (A)
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 340 m long?
Options:
(A) 56 sec
(B) 42 sec
(C) 45 sec
(D) 48 sec
(E) 50 sec
Reasoning: Largest 4 digit number is 999
After doing 999 89 we get remainder 20
Hence largest 3 digit number exactly divisible by 89 = 999 - 20 = 979
Ans: (C)
Question: Calculate the largest 3 digit number which is exactly divisible by 89?
Options:
(A) 911
(B) 969
(C) 979
(D) 977
(E) 971