Quantitative Aptitude Quiz for IBPS | SBI – Set 203

1)A bag contains 6 black balls and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
a) 4/7
b) 3/4
c) 4/5
d) 1/8
e) None of these

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Answer a) 4/7
Sol. 8/14 = 4/7

2)A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?
a) 30 days
b) 40 days
c) 15 days
d) 24 days
e) None of these

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Answer a) 30 days
Sol. Let B has done the work in x days
A/2=3/4x
A=3/2x days
2/3x+1/x=1/18
x=30 days

3)There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is?
a) 20
b) 80
c) 100
d) 200
e) None of these

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Answer c) 100
Sol. Let numbers of students in A and B are x and y
x-10=y+10
x-y=20…….(1)
(x+20)/(y-20)=2
x-2y=-60…….(2)
From above Eq.
x=100

4)A takes 2 hr more than B to walk D km. If A double his speed than he can make it in 1 hr less than B. How much time does B require for walking D km?
a) 4 hr
b) 1 hr
c) 2.5 hr
d) 1.5 hr
e) 3 hr

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Answer a) 4 hr
Sol. Let time taken by B =t
so, time taken by A=t+2
when speed of A is double then time taken by A=(t+2)/2
so, (t+2)/2= t-1
t=4 hr

5)If a commission of 10% is given on MP of book, the publisher gains 20% if the commission is increase to 15% the gain % is?
a) 40/3
b) 10
c) 20
d) 15
e) None of these

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Answer a) 40/3
Sol. Let M.P=100
SP1=90
CP=90*100/120=75
SP2=85
P%=10/75*100=40/3

6) The magnitude of the area of a circle is 7 times that of its circumference. What is the circumference (in units) of the circle?
a) 616
b) 132
c) 88
d) Cannot be determined
e) None of these

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Answer c) 88
Sol. We have πr^2=7×2πr
∴r=14
∴ Circumference =2πr=2×22/7×14=88

7)The perimeter of a square is equal to twice the perimeter of a rectangle whose dimensions are: length 8 cm and breadth 7 cm. What is the circumference of a semicircle whose diameter is equal to the side of the square?
(Rounded off of the decimal place)
a) 38.57 cm
b) 23.57 cm
c) 42.46 cm
d) 47.47 cm
e) None of these

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Answer a) 38.57 cm
Sol. Perimeter of the rectangle = 2(8 + 7) = 30 cm
Perimeter of the square = 2 × 30 = 60 cm
∴ Side of the square =1/4×60 = 15 cm
Circumference of the required semi-circle
=πr+2r = 22/7×15/2 + 2×15/2 = 38.57 cm

8)67, 68, 64, 73 , ?
a)57
b)53
c)65
d)73

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Answer a)57
67+1^2 = 67+1 = 68
68-2^2 = 68-4 = 64
64+3^2 = 64+9 = 73
73-4^2 = 73-16 = 57

9)13, 27, 83, 335, ?
a)1729
b)1679
c)1972
d)1277

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Answer b)1679
13*2+1 = 27
27*3+2 = 83
83*4+3 = 335
335*5+4 = 1679

10)1723, 1602, 1521, 1472, ?
a)1447
b)1432
c)1471
d)1747

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Answer a)1447
1723-11^2 = 1723 – 121 =1602
1602-9^2 = 1602-81 = 1521
1521-7^2 = 3248 – 49 = 1472
1472-5^2 = 3199-25 = 1447

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