Q1. N is a two digit number such that the product of its
digits when added to their sum equals N. The unit digit of N would be
1)1
2)7
3)8
4)9
Solution:
Q2. If P + 1/Q = 1
and Q + 1/R = 1 , then what is PQR ?
1) -1
2) 2
3) -2
4) cannot be calculated
Solution:
Q3. What is the remainder when 3^ 256 is divided by 5?
1) 1
2) 2
3) 3
4) 4
Solution:
Q4. If equal weights of 22 carat gold ( alloy of 22 parts
gold and 2 parts copper by weight) and 24 carat gold ( pure gold) are mixed to
form an alloy, what will be the weight proportion of copper in the alloy?
1) 1/2
2) 1/8
3) 1/12
A 4m* 4m floor needs to be covered by tiles of size of
2m*1m. Two diagonally opposite corners of size
1m*1m should be left uncovered. How many tiles are required
to complete the job without breaking the tiles or overlapping them?
1) 6
2)7
3)8
4) Impossible to cover
Solution:
Q6. If 42->26, 71->78,33->16, then 62->
1)68
2)54
3)38
Q8. Consider a square of side a. Fit the largest possible circle inside it and the
largest possible square inside the circle. what is the side length of the inner
most square?
Solution:
Q9. Walking from my him at a speed of 5 km/hr. I am 8 minutes late in reaching my
office. If I walk at a speed of 8 Km/hr
I reach 5 minutes late. How far is my office from the house?
1) 2 km
2) 1/3 km
3) 2/3 km
4) 1/2 km
Solution:
Q10. A,B and C are three distinct digits . If they are added as below
1) A = 3, B = 4 ,C = 5
2)A = 2, B = 3 ,C = 1
3)A = 5, B = 1 ,C = 3
4)A = 1, B = 8 ,C = 5
Solution:
Q12. L is the tallest and eldest of a group of five people K
,L,M,N and P. M is elder to N and shorter than K. M and P are of same age and P
is taller than K. N and K are of same height and K is younger to P. Which of
the following inferences is certain?
1) P is taller than M
2) N is the youngest
3) N is elder to P
4) N is elder to K
Solution:
Q13. If the product of three consecutive positive integers is
equal to their sum, then what would be the sum of their squares?
1) 9
2)14
3)16
4)24
Solution:
Q16. If NET14 & NET15 are five digit numbers such that
their sum =157229, then N + E + T would be
1)15
2)21
3)25
Q17. A cylindrical cake is to be cut into 16 equal pieces.
What is the minimum number of cuts required to do so?
1)9
2)3
3)8
4)5
Solution:
Q19.
Pre-Ph.D exam score pf 10 students are plotted against their M.Sc. marks. Which of the following is true?
1) Two students have scored better in Pre-Ph.D than their M.Sc. exam.
2) All those students who scored 50% in Pre- Ph.D scored more percentage of marks in their M.Sc. exam.
3) Two students scored the same percentage of marks in their Pre-Ph.D and M.Sc. exams
4) The student who scored maximum in M.Sc. is the only student to get maximum in Pre-Ph.D exam
Solution:
Q20. With reference to the right- angled triangle shown, what is the value of sin(A)cos(B) + cos(A)cos(B) ?
1. -1/2
2. 1
3. 1/2
4. -1
Solution:
