Q1. A person
can row a boat at a speed of 12 km/hr in still water. The time taken
by another boat going upstream & whose speed in still water is
three-fourth of that of first boat is 2 hours more than the time
taken by the first boat going upstream between two points A and B.
find the time taken by first boat going downstream between these two
points. The speed of current is 3 km/hr.
(a) 4.8
hr
(b) 2.8 hr
(c) 2.4 hr
(d) 3.2 hr
(e) 4.2
hr
Q2. The ratio of working efficiency of Ram and
Shyam is 3 : 4. They together can complete a piece of work in 24
days. They started working together & after 6 days Ram leaves and
a third person Radha whose efficiency is 6/7 of that of Shyam joins
Shyam. Find the time taken by Radha and Shyam together to complete
the remaining work.
(a) 221/26
(b) 441/26
(c)
Can’t be determined
(d) 331/26
(e) None of these
Q3.
The ratio of lengths of two trains P and Q is 3 : 5. Both the trains
start running from the same station in the same direction but at
different time interval. The time taken by train P to cross a tunnel
whose length is 50% more than the sum of the lengths of the two
trains is 46 minutes less than that by train Q. Find the length of
tunnel. Speed of train P and Q is 72 km/hr and 54 km/hr
respectively.
(a) 88.6 km
(b) 82.4 km
(c)
8.64 km
(d) 86.4 km
(e) 76.4 km
Q4. A cow
is bound with a rope at the center of a circular field. The cow can
graze maximum area of 1386 m². If the side of another square field
is five-seventh of that of the length of rope then what is the ratio
of perimeter of circular field and square field? (take π=22/7)
(a) 3 : 5
(b) 5 : 11
(c) 11 :
5
(d) 5 : 3
(e) 10 : 7
Q5. In how many
different ways the letters of the word ‘SHAKESPEAR’ can be
arranged such that no two ‘A’ come together. Repetition of
letters is not allowed.
(a) 10!
(b) 9!
(c)
9!/2!
(d) 10!/2!2!
(e) 10!. 2!
Solutions (1-5):
Directions
(6-10): The following pie-chart shows the percentage distribution of
students who cleared SSC-CGL Tier-II exam from six different
cities.
The bar graph shows the percentage of girls in them.
Study both the graph carefully and answer the related questions.
Q7. Find
the total no. of boys from Allahabad, Hissar and Jaipur together who
have qualified the Tier-II exam.
(a) 16,000
(b) 14,000
(c)
12,500
(d) 14,400
(e) 13,600
Q8. What is
the ratio of no. of boys from Jhansi and Delhi together to the total
no. of boys from Lucknow and Jaipur who have qualified Tier-II
exam?
(a) 257 : 212
(b) 329 : 191
(c) 107 : 274
(d)
274 : 107
(e) 106 : 107
Q9. Find the average no. of
girls from Jhansi, Hissar and Jaipur together who have qualified
Tier-II exam.
(a) 613
(b) 657
(c) 713
(d) 813
(e)
513
Q10. If 10% students from Allahabad have
qualified the exam by Cheating in which ratio of boys to girls was 5
: 3 then find the ratio of boys to girls from Allahabad who have
qualified the Tier-II exam honestly.
(a) 11 : 3
(b) 13 :
11
(c) 5 : 7
(d) 7 : 5
(e) 15 : 13
Solutions
(6-10):
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