Quantitative Aptitude Quiz for SBI PO | IBPS | RBI – Set 102

1. A bottle is full of Dettol. 1/3 of it is taken out and then an equal amount of water is poured into bottle to fill it. This operation is done 4 times. Find the final ratio of Dettol and water in the bottle?
a) 43: 65
b) 17: 43
c) 16:63
d) 16:65
e) None of these

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Ans:  d) 16:65

Final ratio of Dettol and water = (1-1/3)^4/{1-(1-1/3)^4} = 16: 65

2. A man can row 8 km/hr in still water. If the river is running at 3 km/hr, it takes 3 hours more in upstream than to go downstream for the same distance. How far is the place?
a) 26.67 km
b) 32.5 km
c) 27.5 km
d) Can’t determined
e) None of these.

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Ans: c) 27.5 km

Let the speed of a man in still water be x km/hr and the speed of a stream be y km/hr. If he takes t hours more in upstream than to go downstream for the same distance,
the distance = (x² – y²)t/ 2y Km
x = 8 km/hr
y = 3 km/hr
t = 3 hours
As per the formula,
Distance = 27.5 Km.

3. 1/3rd of a tank is filled with milk. After taking out 8 litres of milk 1/4th of the is still filled. Find the capacity of the tank ? (in litre)
a) 84 litre
b) 96 litre
c) 156 litre
d) 80 litre
e) None of these

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Ans: b) 96 litre

1/3x – 1/4x = 8
x = 96 litres

4. If 27 is subtracted from a number then it is reduced to 40% of its original. The 1/3rd of the number is ?
a) 15
b) 30
c) 60
d) 75
e) None of these

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Ans: a) 15

x – 27 = 2/5x
3x = 27 * 5
x = 15

5. Manufacturing of cement is made up with four components P, Q, R and S in ratio 2 : 3 : 4 : 5 . Due to seasonal variation if there are respective changes of + 10 % , – 20 % , – 30 % , + 40 % , then what would be the % change in the cost ?
a) 3.76%
b) 2.85%
c) 4.62%
d) 6.67%
e) None of these.

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Ans: b) 2.85%

Ratio of material’s 2 : 3 : 4 : 5
Let is value be 20 , 30, 40, 50 so total sum = 140
Now, there is + 10 % increase in cost of P, 20 + 2 = 22
– 20 % decrease in the cost of Q , 30 – 6 = 24
– 30 % decrease in the cost of R , 40 – 12 = 28
+ 40 % increase in the cost of S , 50 + 20 = 70
Now, total sum of latest cost = 22+ 24 + 28 + 70 = 144
% change of Cost = (144-140)/140 * 100 = 2.85%

Directions : Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of mathematics to choose between the possible answers. Give answer:

1) if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
2) if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
3) if the both statement A and B together are needed to answer the question.
4) if either the statement A alone or B alone is sufficient to answer the question.
5) if you cannot get the answer from the statements A and B together, but needed even more data.

6. What is the perimeter of a semicircle?
A. The radius of the semi-circle is half of the length of the rectangle.
B. Area of rectangle is 234 cm².

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Ans: 5) if you cannot get the answer from the statements A and B together, but needed even more data.

Combining the both statements A and B will not give the perimeter of semicircle.

7. What is the ratio of two number N1 and N2?
A. 30% of N1 is 40% of 90.
B. 20% of N2 is 36% of 50.

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Ans: 3) if the both statement A and B together are needed to answer the question.

From A,
30/100 N1 = 40/100 * 90
N1 = 120
From B,
20/100 N2 = 36/100 * 50
N2 = 90

Combining both statements A & B:
N1/N2 = 120/90 = 4/3 = 4:3

8. What are the marks scored by Atul in Science?
A. Marks scored by Atul in Science is 40% of the marks obtained by him in Maths i.e 80.
B. Marks scored by Atul in Science and English is 180.

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Ans: 1) if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.

From statement A,
Required answer = 40/100 * 82 = 32.

9. 1, 3, 24, 360, 8640, ?, 14515200
a) 282400
b) 292400
c) 302400
d) 25426
e) None of these

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Ans: c) 302400

×(22 – 1), × (32 – 1), (42 – 1), ×(52 -1), ×(62 -1) ………..

10. 15, 17, 38, 120, 488, ?, 14712
a) 2450
b) 2650
c) 2850
d) 2950
e) None of these

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Ans: a) 2450

× 1 + 2, ×2+ 4 , ×3 + 6, × 4 + 8, × 5 + 10 …………


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