QUANTITATIVE APTITUDE FOR UPCOMING BANK & OTHER COMPETITIVE EXAMINATION
1.
C ) Here,
a=10L, n=2, x=100L
2.
C ) Remain
profit for A, B & C = 7400 * 95/100 = 7030
5.
C ) Let
the number of persons eligible to vote be x. Then,
7.
A ) Let
CP = Rs 100, P = 30.05%
8.
C ) Let
the speeds of fast plane and slow planes be x and y m/sec respectively D = s × t
10. A ) (D/40) – (D/50) = 1 ⇒ D = 200 kms
1). From a tank containing 100L of guava
juice, 10L are drawn out and an equal amount of water is added. From the
mixture, 10L is again drawn out and same quantity of water is added. What is
the final ratio of guava juice to water?
a) 90:10
b) 91:9
c) 81:19
d) 80:20
e) None of the above
2). A, B and C jointly thought of engaging
themselves in a business venture. It was agreed that A would invest Rs. 6500
for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants
to be the working member for which, he was to receive 5% of the profits. The
profit earned was Rs. 7400. Calculate the share of B in the profit?
a) 2000
b) 2500
c) 2660
d) 2700
e) None of these
3). In a competitive examination in State A,
6% candidates got selected from the total appeared candidates. State B had an
equal number of candidates appeared and 7% candidates got selected with 80 more
candidates got selected than A. What was the number of candidates appeared from
each State?
a) 7600
b) 8020
c) 8400
d) Data Inadequate
e) None of the above
4). 10% of the voters did not cast their vote
in an election between two candidates. 10% of the votes polled were found
invalid. The successful candidate got 54% of the valid votes and won by a
majority of 1620 votes. The number of voters enrolled on the voters list was
a) 25020
b) 33000
c) 35000
d) 40000
e) None of the above
5). 8% of the people eligible to vote are
between 18 and 21 years of age. In an election, 85% of those eligible to vote,
who were between 18 and 21, actually voted. In that election, the number of
persons between 18 and 21, who actually voted, was what percent of those
eligible to vote?
a) 4.2
b) 6.4
c) 6.8
d) 8
e) None of the above
6). Pragya spends 24% of her monthly income on
food and 15% on the education of her children. Of the remaining salary, she
spends 25% on entertainment and 20% on conveyance. She is now left with Rs.
10,736. What is the monthly salary of Pragya?
a) Rs. 27,600
b) Rs. 28,000
c) Rs. 31,200
d) Rs. 33,000
e) None of the above
7). A shopkeeper gives 3 consecutive discounts
of 10%, 15% and 15% after which he sells his goods at a percentage profit of
30.05% on the cost price. Find the value of the percentage profit that
the shopkeeper would have earned if he had given discounts of 10% and 15% only:
a) 53%
b) 62.5%
c) 72.5%
d) 68.6%
e) None of these
8). Two planes move along a circle of
circumference 1.2 kms with constant speeds. When they move in different
directions, they meet every 15 seconds and when they move in the same direction
one plane overtakes the other every 60 seconds. Find the speed of the slower plane:
a) 0.04 km/s
b) 0.03 km/s
c) 0.05 km/s
d) 0.02 km/s
e) None of these
9). The metro service has a train going from
Mumbai to Pune and Pune to Mumbai every hour. The first one at 6 a .m. The trip from one city
to another takes 4.5 hours, and all trains travel at the same speed. How
many trains will pass while going from Mumbai to Pune, if you start at 12 noon?
a) 8
b) 10
c) 13
d) 9
e) None of these
10). A bus left Delhi Delhi
a) 200 kms
b) 180 kms
c) 400 kms
d) 300 kms
e) None of these
Answers:
Solutions:
Quantity of guava juice in end =x (1-a/x)^n =100 *
(1-10/100)^2 =81 L
Required ratio =81:(100-81)=81:19
A:B:C = 6500*6 : 8400*5 : 10,000*3 ===> 39:42:30
Share of B= 7030*42/111 = Rs. 2660
3. E) State A and State B had an equal number of
candidates appeared.
In state A, candidates got selected = 6%
In state B, candidates got selected = 7%
Difference between the selected candidates from state
A and B = 1%
This 1% is given which is equal to = 80
So, 100% will be equal to = 80*100 = 8000
Total appeared
candidates in State A = total appeared candidates in State B = 8000
4. E) Let total voters = V
No. of voters who cast their vote = 0.9*V
Valid votes = 0.9*0.9*V = 0.81*V
Winner got 54% & loser got 46% i.e a difference of
8% or 0.08.
SO,
0.08 * (0.81*V) = 1620
V = 25000.
Number of eligible persons between 18 and 21 = 8% of x
Number of persons between 18 and 21, who voted = 85%
of (8% of x)
= 85/100 * 8/100 * x = 68x/1000
Required percentage = 68x/1000 * 1/x * 100 = 6.8%
6. E) Let the monthly salary of Pragya be Rs. ‘a’.
Then, [100-(25+20)]% of [100-(24+15)]% of a = 10736
55% of 61% of a = 10736 ————–>
a = 32000
∴ S.P. = Rs 130.05
Discounts = 10%, 15%, 15%∴ M.P. = 130.05 × 100/90 x 100/85 x 100/85 =
Rs 200
If discounts are 10% and 15% only
∴ S.P. = M.P. × {(100-d1)/100}
x {(100-d2)/100}
=> 200 x 90/100 x 85/100 = Rs. 153
So, Profit = 53%
If they move in opposite direction
15 (x + y) = 1200 ⇒ x +
y = 80 m/sec … (i)
If they move in same direction, relative speed = x – y m/sec
Time = 60 i.e. 4 times
∴ Speed is (1/4)th x – y = 20
m/sec … (ii)
Solving (i) and (ii),
y = 50 m/sec = 0.05 km/sec
9. D) You are starting from Mumbai at 12:00
noon, so you’ll meet first train which is going
to reach Mumbai at 12:30pm or which started from Pune at 8:00am. Also you’ll reach Pune at 4:30pm, so you’ll meet the
last train which leaves Pune at 4:00pm.
So in all, you are going to meet all trains which
start from Pune at 8:00am, 9:00am, 10:00am, 11:00am, 12:00noon, 1:00pm, 2:00pm,
3:00pm and 4:00pm i.e. 9 in
total.
