Monday, June 28, 2010

Staff selection commission tier 2 exam math model paper ssc tier 2

126. Three pipes A, b, C call fill a cistern in 6 hour. After working at
it together for 2 hours. C is clos~d and A and B fill it in 7 bours
more. The time taken by C alone to fill the cistern is
A. 14 hours (B) 15 hours () 16 hours D) 17hours
Ans: A
127. A is twice as good a workman as B and B is twice as good a
workman as C. if A and B can together finish a piece of work in 4
days, then C can do it by himself in
(A) 6 days
(B) 8 days
c. 24 days
(D) 12 days
Ans: C
128. A and 13 can do a piece of work in to 10 days. B and C can do
it in 12 days; C
and A in 15 days. Then in how many days will C finish it alone?
(A) 24 (B) 30 C. 40 (D) 60
ans: C
129. Water is flowing at 5 km/hr through a pipe of diameter 14 cm
into
rectangular tank which is 50 m long 44 m wide. Determine the
time in which the level of water will will rise by 7 cm
(A) 2.1 hour
b. 2 hours
(C) 2.5 hour
(D) 2.2 hour
Ans: b
130. Two solid cylinders of radii 4 cm and 5 cm and lengths 6 cm
and 4 cm respectively are recast into cylindrical disc uf thickness I
cm. The radius of the disc
A) 7 cm
B. 14 cm
(C) 21 cm
D} 28 cm
Ans: B
The length of a rectangle is increased by 60%, By what percent
would the breadth be decreased to maintain the same area?
A. 37.5
B. 60
C 75
D. 120
Ans: A
132. Volume of two cones are in the ratio 1 : 4 and their diameters
arc in the ratio 4 ; 5. The ratio of their height is
(A) 1: 5
CB) 5: 4
(C) 5: 16
D . 25 :64
Ans: D
133. What is the greatest length of the rod which cam be kept in a
room 12mx9mx8m?
A. 288 m
B. 29 m
C. 17 m
D. 13 m
Ans: C
134. Water is being pumped out through a circular pipe whose
internal diameter is 7 cm. if the flow of water is 12 cm per second.
How many lires of water is being pumped out in one hour?
A. 1663.2
B. 1500
C. 1747.6
D. 2000
Ans: A
135. The lateral surface area of a cylinder is 1056 cm2 and its
height is 16 cm. Find its volume.
(A) 4545 cm3 (B) 4455 cm3 C) 5445 em3 D. 5544Cm3
Ans:d
136. The largest sphere is carved out of a cube of side 7 cm. The
volume of the sphere in cm3 will be
(A) 718.66
(B) 543.72
(C) 481.34
d. 179.67
Ans: d
137. The radius of circle A is twice that of circle B and the radius of
circle B is twice that of circle C, Their area will be in the ratio
A. 16:4:1
B) 4: 2 : 1
C) 1:2 : 4
D 1 :4: 16
Ans: A
138. A dozen pair of socks quoted at Rs. 80 are available at a
discount of 10 per cent. How many pairs of socks can be bought
for Rs. 24?
A. 4 (B) 5 (C) 3 D. 6
Ans: A
139, The marked price of a T.V. is Rs. 16000 Afler. After two
successive discounts it is sold for Rs.11400 if the first discunt is 5
% then the rate of second discount is
(A 15%
(B) 20 %
C. 30 %
D. 25 %
ans: D
140. The difference between a discount 30 % on a Rs.2,000 and
two successive discounts of 25% and 5 % on the same amount is
A. Rs.30
B Rs.35
C. 25
d. Rs.40
Ans: C
141. If x: y = 2 : 1, then (x2 - y2) : (x2+ y2)
A. 3:5
B) 5:3
C) 4: 5
D) 5:6
ans: A
142. Three cars travelled distances in the ratio 1 : 2 : 3. If the ratio of
the time of travel is 3 : 2 : 1. Then the ratio of their speeds is
l.) 3:9:1
2. 1:3:9
C) 1:2:4
D) 4:3:2
Ans: B
143. The ratio two numbers is 3 : 4. If each number is in increased
by 6. The ratio becomes 4:5. The difference between number is
A. 1
B. 3
C. 6
D. 8
Ans: c
144. There are three numbers A, B, C such that twice A is equalt to
thrice B and four times B is equal to five times C. Then the ration
between A and C is
(A) 3:4 (B) 8:15 C. 15:8 (D) 4:3
Ans: c
145. The weighs of Mr. Gupta and Mrs. Gupta are in the ratio 7:8
and their total weight comhined is 120 kg. After taking a dieting
course Mr. Gupta reduces by 6 kg and the ratio between their
weights changes to 5 : 6. So Mrs. Gupta has reduced by
(A) 2 kg
B. 4 kg
(C) 3 kg
(D) 5 kn
Ans: B
146. Three numbers arc in the ratio: 5: 6 : 7 and product of these
numbers is
is 5670. Thne the greates1 number is:
A) 15 B. l8 C. 21 D. 28
Ans: 21
~
147. A road of 5 km will be constructed in 100 days. So 28O
workcrs were employed. But after 8O days it was found that only
3 1/2 km road is completed. Now how many more needed to
finish the work in the specified time?
A) 480 (B) 80 c. 200 D)100
ans: c
148. A constant distance from Chennai to Bangalorc is covered by
Expres & train at
1OO km/hr. If it retutns to same distance at 80 km/hr. then the
average
speed during the whole journey is
(A) 90.20 km/n
(8) 88.78 km/h
(C) 88.98 km/h
D. 88.899km/h
ans: D
150. The average weight of 15 Students in a class increases by 1.5
kg when one student weigging 40 kg is replaced by a new
student. What is the weigl1t in kg of the new student?
1. 64.S
(B) 56
(C) 60.5
d. 62.5
ans D
150. The average marks of 100 students Were found to he 40.
Later on it was discovered that a score of 53 was misread as 83.
Find the average marks:
A. 38.7
(B) 39
C. 39.7
D) 41
Ans: c
51.. By seling a basket for Rs.19.50. a shopkeeper gains 30%. For
how much should he sell it to gain 40% ?
A.21
B.21.50
c) Rs.24
(D) Rs.23
Ans: A
Q. The two number are in the ratio 2:3 and their product is 96 the
sum of
the numbers is?
A 5 B 20 C 101 D 102
ans: b
Q. The sum of two numbers is ten. their product is twenty. Find
the sum
of the reciprocals of two numbers
A 1 B 3/5 C. 1/2 D. 11/6
Ans: c
Q. A number when divided by 92 gives a remainder of 54. what
remainder
would get on dividing the number by 16
A 2 B 4 C 6 D 8
ans: c
Q. A Man read 2/5 of a book on 1 day he read 1/3 more than he
read on
first day. 15 pages were left for third day the number of pages in
the
book is
A.100 B. 105 C. 225 D. 250
ans: c
Q. Jyothi can do 3/4 of a job in 12 days. Mala is twice as efficient as
Jyothi in how many days mala will finish the job
A.6 B.8 C.12 D.16
Ans: B
Q. The LCM of two multiples of 12 is 1056 If one of the numbers is
132
the other number is
A. 12 B. 72 C. 96 D. 132
Ans: c
Q. Sum of two numbers is 384. HCF of the numbers is 48 the
difference of numbers is
A 100 B 192 C 228 D 336
Ans: c
Q. The least number to be subtract from 36798 to get a number
which is
exactly divisible by 78 is
A 18 B 60 C 38 D. 68
Ans: b
Q. Five times of a positive integer is equal to 3 less than twice the
square of that number. the number is
A 3 B 13 C 23 D 33
Ans: A
Q. The product of two numbers is 24times the difference of these
two
numbers. if the sum of these number is 14the larger number is
A 9 B 8 C 7 D 18
ans: B
Q. When a number is divided by 15,20 or 35 each time the
remainder is 8 then
smallest no is
A428 B427 C328 D338
Ans: A
Q. The least number which when divided by 5,6,7 and 8 leaves a
remainder 3. but when divided by 9 leaves no remainder is
A. 1677 B. 1683 C. 2523 D. 3363
Ans: B
Q. The sum of the digits of a two digit number is 10. The number
formed by reversing the digits is 18 less than the original number
find the original number.
A. 81 B. 46 C. 64 D. 60
Ans: C
Q. 1.2222...of0.0303030303=
A.0.04040404
B. 0.036363636
C. 1.13131313
D. 0.3737337
Ans: The answer of this question should be none of these
as the correct .037037037037
But I think that even if you have ticked B or D the both are
correct as the are the nearest answer.
Q. The greatest number of four digits which when divided by
12,16 and 24 leave remainder 2,6,14 respectively is
A 9974 B 9970 C 9807 D 9998
Ans: 9974
Q.A person sold a tv for Rs.9400 and he lost a particular amount.
when
he sold another tv of same type at Rs.10600 his gain was double
the
former loss. what was the cost price of each tv
A 9800 B 10000 C 10200 D 10400
Ans: A
Q.A cooker is sold at a gain of 16percent if it has been sold for rs
20 more 20 percent would have been gained the cost price of the
cooker
is
A.350 B.400 C500 D600
Ans: C
Q. Tulsiram's salary is 20percent more than that of kashyap if
tulsiram saves 720 which is 4percent of his salary then kashyap
salary
is
A.15000 B.12000 C.10000 D.22000
Ans: A
Q. IF 4 litres of water are evaporated on boiling from 12litres of
salt solution containing 7 percentage salt the percentage of salt in
the remaining solution is
A. 10.5 B. 11.5 C. 12 D. 13
Ans: A

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