Test Preparation on IBPS Clerk preliminary Model Paper-3 (2015)
Quantitative Aptitude:
A sphere of 30 cm radius is dropped into a cylindrical vessel of 80 cm diameter, which is partly filled with water, then its level rises by x cm. Find x:
On dividing a number by 357, we get 39 as the remainder. On dividing the same number by 17, what will be the remainder?
Let x be the number and y be the quotient. Then,
x = 357 × y + 39
= (17 × 21 × y) + (17 × 2) + 5
= 17 × (21y + 2) + 5
So, required number = 5
After replacing an old member with a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member?
Age decreased = 5 × 3 years = 15 years
So, required difference = 15 years
The LCM of the two numbers is 495 and their HCF is 5. If the sum of the numbers is 10, then their difference is
Let the numbers be x and (100 ⎯x)
Then, x (100 ⎯x) = 5 × 495
x2 ⎯100x + 2475 = 0
(x ⎯55) (x ⎯45) = 0
x = 55 or x = 45
Therefore, the numbers are 45 and 55.
Required difference = (55 ⎯45) = 10
A child has three different kinds of chocolates costing Rs.2, Rs.5 and Rs.10. He spends total
Rs.120 on the chocolates. What is the minimum possible number of chocolates, he can buy, if
there must be atleast one chocolate of each kind?
Minimum number of chocolates are possible when he purchases maximum number of
costliest chocolates.
Thus, 2 × 5 + 5 × 2 = Rs.20
Now, Rs.100 must be spend on 10 chocolates as 100 = 10 × 10
Thus, minimum number of chocolates = 5 + 2 + 10 = 17
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts
15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay
as his share of rent?
A : B : C = 10 × 7 : 12 × 5 : 9 × 5
= 70 : 60 : 45
= 14 : 12 : 9
= Rs.175x9/35=RS.45
A letter lock consists of 4 rings, each ring contains 9 non-zero digits. This lock can be opened
by setting a 4 digit code with the proper combination of each of the 4 rings Maximum how
many codes can be formed to open the lock?
9 × 9 × 9 × 9 = 94
A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Let number of balls = (6 + 8) = 14
Number of white balls = 8
P (drawing a white ball)=8/14=4/7
The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years old than P, what will be
the ratio of the ages of P and Q after 4 years?
Let P’s age and Q’s age be 6x years and 7x years respectively.
Then 7x ⎯6x
x = 4
Required ratio = (6x + 4) : (7x + 4)
= 28 : 32
= 7 : 8
I gain 70 paise on Rs.70. My gain percent is
Gain % = [ 0.70/70 × 100]%
= 1%
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