SBI PO Prelims 2017: Quantitative Aptitude Quiz – Set 10 | Word Problems

Hello and welcome to exampundit. So here is a set of SBI PO Prelims Quantitative Aptitude Quiz 2017.

1.The average of 8 numbers is 20.The average
of first two numbers is 31/2 and that of the next three is 21⅓. If the sixth
number is less than seventh and eighth number by 4 and 7 respectively, then
eighth number is?
(A) 18
(B) 22
(C) 25
(D) 27
(E) none of these
2.The price of a car is Rs.3,25,000. It was
insured to 85% of its price. The car was damaged completely in an accident and
the insurance company paid 90% of the insurance. What was the difference between
the price of the car and the amount received?
(A) Rs.32,500
(B) Rs.48,750
(C) Rs.76,375
(D) Rs.81,250
(E) none of these
3.Three containers have their volumes in
the ratio 3:4:5.They are full of mixtures of milk and water in the ratio (4:1),
(3:1) and (5:2) respectively. The contents of all these buckets are poured into
a fourth container. The ratio of milk and water in the fourth container is?
(A) 4:1
(B) 151:48
(C) 157:53
(D) 5:2
(E) none of these
4. Two pipes A and B can fill a tank in
48min and 16min respectively. If both the pipes are opened simultaneously,
after how much time B should be closed so that the tank is full in 18 minutes?
(A) 8min
(B) 12min
(C) 17min
(D) 10min
(E) 6min
5. The speed of a train in the
onward journey is 25% more than that in the return journey. The train halts for
1hour on reaching the destination. The total time taken for the total to and
fro journey is 17 hours, covering a distance of 800km. The speed of the train
in the onward journey is ?
(A) 45kmph
(B) 47.5kmph
(C) 52kmph
(D) 56.25kmph
(E) none of these
6. A train running at a 54kmph takes
20seconds to pass a platform. Next it takes 12seconds to pass a man walking at
6kmph in the same direction in which the train is going. Find the length of the
train and the length of the platform?
(A) 160m, 140m
(B) 140m, 160m
(C) 185m, 140m
(D) 190m, 120m
(E) none of these
7.Speed of boat in the standing water is
9kmph and the speed of stream is 1.5kmph. A man rows to a place to a distance
of 105km and comes back to the starting point. The total time taken by the man
(A) 16hrs
(B) 18hours
(C) 20hours
(D) 24hours
(E) none of these
8. A jar full of whisky contains 40%
alcohol. A part of this whisky is replaced by another containing 19%alcohol and
now the percentage of alcohol was found to be 26%. The quantity of whisky
replaced is?
(A) 1/3
(B) 2/3
(C) 2/5
(D) 3/5
(E) none of these
9. 8litres are draw from a cask full of
wine and replaced with water. This operation is performed three more times. The
ratio of quantity of wine now left in the cask to that of water is 16:65. How
much wine did the cask hold originally?
(A) 18litres
(B) 24litres
(C) 32litres
(D) 42litres
(E) none of these
10. What annual installment (in approximate
figure) will discharge a debt of Rs.2000 due in 3 years at 15% simple interest?
(A) Rs.580
(B) Rs.550
(C) Rs.570
(D) Rs.600
(E) none of these
Answers & Solutions – Tap to show
1. C –  let the eighth number be x. Then, sixth number= x-7
     Seventh number=(x-7)+4
    So, (2×31/2)+(3×21⅓)+(x-7)+(x-3)+x=8×20
    Or, x= 25

2. C – Amount paid to the card owner =90% of 85% of 325000=Rs.248625
     So, the required difference= Rs. (325000-248625)=Rs. 76375

3. C –  Let the containers contain 3x, 4x and 5x litres of mixture respectively
  Milk in first mix= (3x ×4/5)=12x/5 litres
 Water in first mix=(3x-12x/5)=3x/5 litres
Milk in second mix=(4x × 3/4) = 3x litres
Water in second mix=(4x-3x)= x litres
Milk in third mix=(5x × 5/7)=25x/7 litres
Water in third mix=(5x-25/7)=10x/7 litres
Total milk in final mix=314x/35 litres
Total water in final mix=106x/35 litres
Required ratio of milk and water=314x/35 : 106x/35=157:53

4. D – let B be closed after x min
    Then, part filled by A+B in x min+part filled by A in (18-x)min=1
    or, x=10

5. D –  let the speed in return journey be x kmph
     Then speed in onward journey =125x/100=5/4x kmph
     Average speed=10x/9 kmph
    Therefore, 800×9/10x=16
    So, x=45kmph
So, speed in onward journey=(5/4 ×45)=56.25kmph

6. A – let the length of the train be x mt and the length of the platform be y mt.
     Speed of the train relative to man=54-6=48kmph or 40/3 m/s
     In passing a man, train covers its own length with relative speed
     So, length of the train =Relative speed × time=40/3 × 12=160 m
Also, speed of the train=54 × 5/18=15m/s
Therefore, x+y/15=20
Or, y=140m

7. D – speed upstream=7.5kmph
     Speed downstream=10.5kmph
     Therefore, total time taken= (105/7.5+105/10.5) hrs. = 24hrs

8. B – Since strength of the first jar=40%
    Strength of second jar= 19%
    Mean strength =26%
    So, using the rule of allegation, the ratio between the two quantities is=7:14=1:2
     Therefore, required quantity replaced is=2/3

9. B –  let the qty of wine in the cask originally be = x litres
    Then, quantity of cask left in the wine after 4 operations=[x (1-8/4)^4] litres
    Therefore, x (1-8/4)^4/x=16/81 =>x=24

10. A – let each installment be Rs. X
    So, [x+x×15/100] + [x+x×15×2/100] + x=2000
     Solving we get x~Rs.580


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