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Mixed Aptitude Quiz Based On SBI Preliminary Exam

Published on Thursday, July 07, 2016
sbi

Ques 1.

Bus starts running at the speed of 50 kmph .The speed of the bus increases by 3 kmph at end of every one hour .What will be the distance covered at the end of 7 hours from the start of the journey ?


Solution :

Total Distance = n/2 ( 2a + (n-1)d)

                            = 7/2 (2*50+(7-1)*3)
                            = 413 Km


Ques 2.

What will be the difference between the Compound Interest and Simple Interest earned on a sum of 2000 at the rate of 12 pcpa at end of 2 years ?

Solution :

Difference for 2 years = (p* r^2)/(100)^2

= 2000*12^2/100^2
=2000*144/10000
=28.8


Ques 3.

50       25       37.5      93.75       328.125      ?

Solution :

50*0.5=25
25*1.5=37.5
37.5*2.5=93.75
93.75*3.5=328.125
328.125*4.5=1476.5625


Ques 4.

Siva started a business investing 120000 . After 6 months Karan joined with 180000. After another 6 moths Giri also joined them with 2.7lakh . The profit earned at the end of 3 years when Siva started the business should be distributed among 3 persons in the ratio of ?

Solution :

Ratio = (120000 * 36 months ) : ( 180000 * 30months ) : (270000*24months)
           = 4:5:6


Ques 5.

The cost of 26 CPUs and 6 Monitors is 13800 and the cost of 13 CPUs and 7 Monitors is 14200. What is the cost of 10 Monitors ?

Solution :

26C + 6M = 13800 ---(i)
13C + 7M =  14200 ---(ii)

From i & ii

M = 1825
10 Monitors = 1825*10=18250


Ques 6.

Hari has some hens and some cows . The total number of animals heads is 40 and total number of legs is 112 .How many hens does Hari have ?

Solution :

Assume all animals are hens , hence total legs = 40*2=80

Assume all animals are cows , hence total legs = 40*4=160

From question total legs =112


80.                        160


              112


48                           32


= 48:32=3:2

Hens = 3/5  * 40 = 24


Ques 7.

A bag contains 8 black , 7 green , 6 yellow balls . What is the probability that 3 balls drawn at random are either black or green ?

Solution :

= {(8C3 + 7C3 )/(21C3) }= 13/190


Ques 8.

If edge of cube is increased by 50% then by what percentage will have the volume of cube increases ?

Solution :

Volume =100
New Volume = 100 *1.5*1.5*1.5 =337.5

Increased volume = 337.5-100=237.5


Ques 9.

Find Approximate value :   ? *5*4.9  - 13.11*4.01*4 = 117 


Solution : 

25x = 117+13*16
25x = 117+208
X = 325/25=13


Ques 10.

2x^2 + 11x +15=0 ; 4y^2 + 22y+24=0 , Find relation between x and y ?


Solution :

2x^2+6x+5x+15 = 0
==> x = -6/2 ; -5/2

4y^2 +16y+6y+ 24 =0
==> y = -16/4 ; -6/4 = -4; -3/2

Hence no relationship can be established.

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