DIRECTIONS for Questions 14 to 16: Answer the questions on the basis of the information given below.
There are five friends viz. Dugati, Gandhi, Pikalu, Mishra and Ubuntu. Each of the mentioned persons has
passed out of one of the following universities - JNU, DU, PU, HCU or BHU and has installed a different
operating system(OS) out of Debian, Fedora, Novell, Redhat and Slackware, on their desktops. Each of the
mentioned persons stays in a different city out of Bangalore, Hyderabad, Kolkata, Mumbai and Pune. It is also
known that Pikalu has installed Slackware and has neither passed out of DU nor out of HCU.
Additional information:
i. Dugati stays in Hyderabad.
ii. Ubuntu has installed Fedora and Mishra has passed out of DU.
iii. One who stays in Mumbai has passed out of PU.
iv. Gandhi, who has passed out of BHU, has not installed Redhat.
v. One who has passed out of JNU has installed Novell.
14. For how many of the mentioned persons, is it possible to determine the exact information about the city
in which they stayed, the university they passed out of and the OS they have installed?
(1) 3 (2) 0 (3) 1 (4) 2 (5) 5
15. How many of the following statements can be true?
A. Ubuntu stays in Bangalore, passed out of HCU and has installed Fedora.
B. Mishra stays in Kolkata, passed out of DU and has installed Debian.
C. Gandhi stays in Bangalore, passed out of BHU and has installed Novell.
D. Dugati stays in Hyderabad, passed out of HCU and has installed Redhat.
E. Mishra stays in Bangalore, passed out of DU and has installed Redhat.
(1) 2 (2) 3 (3) 1 (4) 0 (5) 4
16. Who stays in Mumbai ?
(1) Gandhi (2) Pikalu (3) Mishra (4) Ubuntu (5) Cannot be determined
******************************
17. If the absolute growth of Total I-Tax collections (Budgeted) in the year 2007-08 as compared to the
previous year had been the same as the growth of Total I-Tax collections (Actual) in the year 2008-09
as compared to the previous year, then the Individual I-Tax collections (Budgeted) (in Rs. crores) for
the year 2007-08 would have been (Assume all the other values remain the same)
(1) 135 (2) 145 (3) 120 (4) 115 (5) 125
18. For how many of the given years the Efficacy Ratio of at least two out of “Total I-Tax” collections,
“Corporate I-Tax” collections and “Individual I-Tax” collections is greater than 1?
(1) 0 (2) 1 (3) 2 (4) 3 (5) Data Insufficient
19. In which of the following years, for either of the Corporate I-Tax collections or the Total I-Tax collections,
the percentage growth of I-Tax over the previous year for both the Budgeted and the Actual is
approximately the same?
(1) 2005-06 (2) 2006-07 (3) 2007-08
(4) Both 2006-07 and 2007-08 (5) Both 2005-06 and 2007-08
20. Which of the following statements (is/are) true?
I. Percentage contribution of the corporate I-Tax (Actual) collections to the total I-Tax (Actual)
collections has decreased in the year 2008-09 in comparison to the year 2005-06.
II. Simple Annual growth rate of Actual I-Tax paid by the individual taxpayers for the period 2004-05
to 2008-09 is more than 90 percent
III. Efficacy ratio for the “Corporate I-Tax” collections is the highest in the year 2008-09.
(1) I (2) II (3) III (4) II and III (5) I, II and III
*******************
21. How many four-digit odd integers, greater than 3009 can be formed with the digits 0, 2, 3, 5 and 7, if
repetition of digits is not allowed?
(1) 36 (2) 32 (3) 72 (4) 54 (5) 120
23. What is the digit at the hundredths place of the number N = 45^36 ?
(1) 1 (2) 0 (3) 6 (4) 5 (5) 7
23. What is the digit at the hundredths place of the number N = 4536 ?
(1) 1 (2) 0 (3) 6 (4) 5 (5) 7
DIRECTIONS for Questions 30 and 31: Answer the questions on the basis of the information given below.
On a large field, Q is a point to the north of P, R is a point to the east of Q and S is a point to the north of R. The
length of the line segments PQ and RS is 4 kms and 3 kms respectively. At time t = 0, two persons M and N are
at the point P. M and N start walking towards point S with same uniform speed at time t = 0 and t = 15 minutes
respectively. M follows the path PQRS and N follows the direct path PS. Given that both M and N reach point
S simultaneously and PS = 8.75 kms.
30. What is the speed at which M walks?
(1) 10 km/hr (2) 12 km/hr (3) 20 km/hr (4) 14 km/hr (5) 18 km/hr
31. What is the distance between M and N, at t = 30 minutes?
(1) 1 km (2) 3 kms (3) 2 kms (4) 1.5 kms (5) 2.5 kms
39. A square ABCD is drawn with P,Q,R and S being the mid-point of sides AD, AB, BC and CD respectively.
A circular arc is drawn with P as a center and radius being greater than half of the side of the square,
passing through Q and S. The arc cuts the line PR at O. What is the measure of the ÐOSR ?
(1) 22.5º (2) 27.5º (3) 28.5º (4) 25º (5) 30º
There are five friends viz. Dugati, Gandhi, Pikalu, Mishra and Ubuntu. Each of the mentioned persons has
passed out of one of the following universities - JNU, DU, PU, HCU or BHU and has installed a different
operating system(OS) out of Debian, Fedora, Novell, Redhat and Slackware, on their desktops. Each of the
mentioned persons stays in a different city out of Bangalore, Hyderabad, Kolkata, Mumbai and Pune. It is also
known that Pikalu has installed Slackware and has neither passed out of DU nor out of HCU.
Additional information:
i. Dugati stays in Hyderabad.
ii. Ubuntu has installed Fedora and Mishra has passed out of DU.
iii. One who stays in Mumbai has passed out of PU.
iv. Gandhi, who has passed out of BHU, has not installed Redhat.
v. One who has passed out of JNU has installed Novell.
14. For how many of the mentioned persons, is it possible to determine the exact information about the city
in which they stayed, the university they passed out of and the OS they have installed?
(1) 3 (2) 0 (3) 1 (4) 2 (5) 5
15. How many of the following statements can be true?
A. Ubuntu stays in Bangalore, passed out of HCU and has installed Fedora.
B. Mishra stays in Kolkata, passed out of DU and has installed Debian.
C. Gandhi stays in Bangalore, passed out of BHU and has installed Novell.
D. Dugati stays in Hyderabad, passed out of HCU and has installed Redhat.
E. Mishra stays in Bangalore, passed out of DU and has installed Redhat.
(1) 2 (2) 3 (3) 1 (4) 0 (5) 4
16. Who stays in Mumbai ?
(1) Gandhi (2) Pikalu (3) Mishra (4) Ubuntu (5) Cannot be determined
******************************
17. If the absolute growth of Total I-Tax collections (Budgeted) in the year 2007-08 as compared to the
previous year had been the same as the growth of Total I-Tax collections (Actual) in the year 2008-09
as compared to the previous year, then the Individual I-Tax collections (Budgeted) (in Rs. crores) for
the year 2007-08 would have been (Assume all the other values remain the same)
(1) 135 (2) 145 (3) 120 (4) 115 (5) 125
18. For how many of the given years the Efficacy Ratio of at least two out of “Total I-Tax” collections,
“Corporate I-Tax” collections and “Individual I-Tax” collections is greater than 1?
(1) 0 (2) 1 (3) 2 (4) 3 (5) Data Insufficient
19. In which of the following years, for either of the Corporate I-Tax collections or the Total I-Tax collections,
the percentage growth of I-Tax over the previous year for both the Budgeted and the Actual is
approximately the same?
(1) 2005-06 (2) 2006-07 (3) 2007-08
(4) Both 2006-07 and 2007-08 (5) Both 2005-06 and 2007-08
20. Which of the following statements (is/are) true?
I. Percentage contribution of the corporate I-Tax (Actual) collections to the total I-Tax (Actual)
collections has decreased in the year 2008-09 in comparison to the year 2005-06.
II. Simple Annual growth rate of Actual I-Tax paid by the individual taxpayers for the period 2004-05
to 2008-09 is more than 90 percent
III. Efficacy ratio for the “Corporate I-Tax” collections is the highest in the year 2008-09.
(1) I (2) II (3) III (4) II and III (5) I, II and III
*******************
21. How many four-digit odd integers, greater than 3009 can be formed with the digits 0, 2, 3, 5 and 7, if
repetition of digits is not allowed?
(1) 36 (2) 32 (3) 72 (4) 54 (5) 120
23. What is the digit at the hundredths place of the number N = 45^36 ?
(1) 1 (2) 0 (3) 6 (4) 5 (5) 7
23. What is the digit at the hundredths place of the number N = 4536 ?
(1) 1 (2) 0 (3) 6 (4) 5 (5) 7
DIRECTIONS for Questions 30 and 31: Answer the questions on the basis of the information given below.
On a large field, Q is a point to the north of P, R is a point to the east of Q and S is a point to the north of R. The
length of the line segments PQ and RS is 4 kms and 3 kms respectively. At time t = 0, two persons M and N are
at the point P. M and N start walking towards point S with same uniform speed at time t = 0 and t = 15 minutes
respectively. M follows the path PQRS and N follows the direct path PS. Given that both M and N reach point
S simultaneously and PS = 8.75 kms.
30. What is the speed at which M walks?
(1) 10 km/hr (2) 12 km/hr (3) 20 km/hr (4) 14 km/hr (5) 18 km/hr
31. What is the distance between M and N, at t = 30 minutes?
(1) 1 km (2) 3 kms (3) 2 kms (4) 1.5 kms (5) 2.5 kms
39. A square ABCD is drawn with P,Q,R and S being the mid-point of sides AD, AB, BC and CD respectively.
A circular arc is drawn with P as a center and radius being greater than half of the side of the square,
passing through Q and S. The arc cuts the line PR at O. What is the measure of the ÐOSR ?
(1) 22.5º (2) 27.5º (3) 28.5º (4) 25º (5) 30º
Please post the answers!!!!
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