Quantitative Aptitude Practice Questions for Bank/Insurance Exams (06 – 04 – 2018)

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Quantitative Aptitude Practice Questions for Bank/Insurance Exams (06 – 04 – 2018)
1. Two candles of same height can burn completely in 7 hrs and 9 hrs respectively. If both are lighted at same time, then find after how much time ratio of their height become 3 : 4 ?
(A) 5 hr 12 min
(B) 4 hr 12 min
(C) 4 hr 20 min
(D) 3 hr 20 min
(E) None of these
2. Javed can type 20 lines in 10 minutes but he leaves 8% margin in each line. In how much time will he type 23 pages with 40 lines on each page leaving 25% more margin than before ?
(A) 6 hr 30 min
(B) 7 hr 45 min
(C) 6 hr 45 min
(D) 7 hr 30 min
(E) None of these
3. In how many ways, the letters of word ASSASSINATION can be arranged so that the words always start with A and end with N?
(A) 58200
(B) 49200
(C) 63900
(D) 69300
(E) None of these
4. A car covered a certain distance at a uniform speed. If the car had been 6 km/h faster, then it would have taken 4 hours less than the scheduled time. If the car were slower by 6 km/h, then the car would have taken 6 hours more than the scheduled time, then find the length of the journey.
(A) 700 km
(B) 740 km
(C) 720 km
(D) 760 km
(E) None of these
5. Shyam went to the market to buy 10 kg of each of oranges, mangoes, bananas and grapes. The cost of 5 kg of oranges and 2 kg of mangoes together was Rs.310. The cost of 3 kg of mangoes and 3.5 kg of bananas together was Rs.230. The cost of 1.5 kg of bananas and 5 kg of grapes together was Rs.160. Find the total amount spent by Rohan.
(A) Rs.1400
(B) Rs.1050
(C) Rs.1750
(D) Rs.2100
(E) None of these

6. P can do a piece of work in 18 days and Q can do the same work in 12 days. P and Q starts the work together but after 3 days, Q leaves the job and R join with P. P and R complete the remaining works in 3 days. If for complete work Rs.24000 has been given, then what amount is received by R?
(A) Rs.12000
(B) Rs.9000
(C) Rs.10000
(D) Rs.8000
(E) None of these
7. Priti bought a bag with an additional 20% discount on the reduced price after deducting 10% on the labelled price. If the labelled price was Rs.1600, then at what price did she purchase the bag?
(A) Rs.1242
(B) Rs.1152
(C) Rs.1008
(D) Rs.1120
(E) None of these
8. In a 100 m race Ram beats Sohan by 10m and in a 300m race Sohan beats Sunil by 75m. If Ram beats Sunil by 10sec in the 100m race, then what is the area of the circle along which Sunil completes 1 round in 100sec? (in approximate value)
(A) 8400 m2
(B) 8401 m2
(C) 8433 m2
(D) 8440 m2
(E) None of these
9. Sunita driving her car at a speed of 45 km/hrs reaches her college 14 minute late. Next time she increase her speed by 5 km/hrs but finds that she is still late by 8 minutes. What is the distance between her college and her house?
(A) 50 km
(B) 54 km
(C) 60 km
(D) 48 km
(E) None of these
10. In a bag there are 4 red, 5 green and 6 pink balls. 3 balls are drawn one by one. If the first ball comes out to be of red, then 6 more red balls are added to bag. After the Second draw no new balls are added to bag. Find the probability that all the 3 balls drawn are of red.
(A) 9/19
(B) 25/19
(C) 451/475
(D) 24/475
(E) None of these



Solutions:
1. B) Let the length of candles be 1 unit and after t hours, the ratio of their length be 3 : 4.
ATQ, (1 – [1/7]t)/(1 – [1/9]t) = 3/4
=> [(7 – t)/(9 – t)] * 9/7 = 3/4
=> t = 4 1/5 hrs = 4hr 12min
2. B) ATQ, Let time = x min, 1 page has 23 lines
Therefore, (100 – 8) * 20/10 = (100 * (128/100) * 8) * 23 * 40)/x
=> x = 450 min = 7hr 30min
3. C) Required no.of way = 11!/(3! * 4! * 2! * 2!) = 63900
4. C) Let the speed of Car be x km/h and actual time taken is t hrs.
In first case, distance = (x + 6)(t – 6) km ........ (i)
In second case, distance = (x – 6) (t + 6) ........ (ii)
Also distance = xt from (i) and (ii)
(x + 6) (t – 4) = (x – 6) (t + 6) ........ (iii)

Putting the value of ‘t’ in eqn. (iii) we get,
x = 30 km/hr
Therefore, t = 25 hr
Thus, distance = 30 × 24 = 720
5. A) Let the price per kg of Orange, Mangoes, Bananas and Grapes be Rs.O, Rs.M, Rs.B and Rs.G respectively.
Given that
5 O + 2 M = 310 ......... (i)
3 M + 3.5B = 230 ......... (ii)
1.5 B + 5 G = 610 ......... (iii)
Now, (i), (ii), (iii) we get
5 O + 5 M +5 B + 5 G = 700
Therefore, 10 O + 10 M + 10 B + 10 G = 2 × 700 = Rs. 1400


6. C) P do the work for 3 days + 3 days = 6 days, Q work for 3 days and R work for 3 days.
6/13 + 3/12 + 3/R = 1 => 3/R = 1 – 1/3 – 1/4 => 3/R = 5/12
Therefore 3 days work of R = 5/12
P : Q : R = 6/18 : 3/12 : 5/12
Ratio of share = 12 : 9 : 15 = 4 : 3 : 5
Share of R = 5/12 * 24000 = Rs.10000
7. B) Labelled price = Rs.1600
As, the reduction price is 10% lower than the labelled price,
Reduced price = 90% of 1600 = Rs.1440
Now, the price at which Priti bought it is 20% lower than the reduced price, then
selling price = 84% of 1440 = Rs.1152
8. B) Ram/Sohan = 100/90 also Sohan/Sunil = 100/75 then Ram/Sunil = 40/27
So in a race of 40m, Ram beats Sunil by 13m
In a race of 100m, Ram beats Sunil by 32.5m
So, Sunil cover 32.5 m in 10 sec.
Speed of Sunil = 3.25 m/sec
Perimeter of circle = 3.25 × 100 = 325 m
Area = 325^2/4П = 8401 (approx.)
9. E)

10. D) Total balls initially in the bag = 4 + 5 + 6 = 15
There are 4 red balls
If on first draw, red balls comes out then 6 more red balls are added
Therefore, The probability of red balls on first draw = 4/15
Due to withdraw of one red balls now there are only 3 red balls is left.
Also, there is no replacement done so, total number of balls becomes 14.
After adding 6 new red balls total number of balls becomes = 14 + 6 = 20
And total number of red balls = 3 + 6 = 9
Now, if on the 2nd draw, red balls is drawn, then,
The probability of red balls on 2nd draw = 9/20
As there is no replacement done so, total number of balls becomes 19
And total number of red balls = 9 – 1= 8
Now, if on the 3rd draw, red balls is drawn then
The probability of red balls on 3rd draw = 8/19
Therefore, Final probability if on both the draws red balls is drawn = 4/15 * 9/20 * 8/19 = 24/475
Hence, 24/475 is the probability of all the 3 balls drawn are of red ball.