Mixed Aptitude Quiz - 10 for IBPS PO Pre Exam

Ques 1.

5, 14 , 40 , 117 , ?

Solution :
5*3-1 = 14
14*3-2 = 40
40*3-3 = 117
117*3-4 = 347

Ques 2.

I. X= 1849 II. Y =  (1849)^1/2

Solution :
X = ±43
Y = 43
x≤y

Ques 3.

P takes twice as much time as Q and thrice as much time as R to finish a piece of work. Working together they can finish the work in 6 days. R can do the work alone in ?

Solution :
1/x+2/x+3/x = 1/6
6/x = 1/6
x = 36
R = 3/x = 3/36 = 1/12 = 12 days

Ques 4.

1006.7+12328.98-5644.64 = 12543+ ?

Solution :
13335.68-5644.64 = 12543 + ?
7691.04 = 12543 + ?
?  = 4851.96

Ques 5.

A certain sum of money amounts to Rs.800 in 2 years and to Rs. 920 in 3 years then the is

Solution :
==>(A2 –  A1)/ T2-T1
==>(920-800)  /1 = 120
==>P = 800-240 = 560

Ques 6.

Four years ago, the ratio of the ages of P and Q was 5 : 9. 8 years hence the ratio will be 2 : 3 respectively. Find the present age of Q?

Solution :
4years ago P:Q ration = 5:9 (Difference = 4)
8 years hence P:Q ratio = 2:3 ( Difference =1)
new ratios :
4 years ago = 5:9 *1 = 5:9
8 years hence = 2:3 *4 = 8:12
Difference in Q ratio = 12-9 = 3 units 

3 units ----------- 12 years
12 units ---------   ?

Q age 8 years hence = 48 years 
Present age of Q = 48-8 = 40 years 

Ques 7.

The average age of P and Q 10 years ago was 20. The average age of P, Q and R today is 30, so what will be the age of R after 5 years.

Solution :
P+Q  = 60.
P,R,Q = 90
so Age of Q = 30+5 = 35

Ques 8.

The length and breadth of a rectangle are increased by 30% and 20% respectively. Its area will be increased by

Solution :
30 + 20 + (30*20/100) = 56%

Ques 9.

Milk contains 20% water. What quantity of pure milk should be added to 50 liters of milk to reduce the quantity of water to 12% ?

Solution :

Pure Milk in 50 liters milk = 80*50/100 = 40
Water in 50 liters milk = 20*50/100 = 10

==> (40+x) / 10 = 88/12 = 22/3
==>3*( 40+x) = 220 
==> 120+3x =220
==> X = 100/3 = 33.33

Ques 10.

P,Q and R shared the profit in a business in the ratio 5:7:8 and partnered for 14 months, 8 months and 7 months. Ratio of their investments is

Solution : 
Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months
==> 14x : 8y : 7z = 5 : 7 : 8
==> 14x/8y = 5/7
==> y = (49/20)x

14x/7z = 5/8
==>z = (16/5)x

x:y:z = x:(49/20)x:(16/5)x
20:49:64


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