Latest model Quant Questions for SBI PO - Free online Practice Test 2

1.

A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C?

   A.) 2 : 5 : 3
   B.) 3 : 2 : 7
   C.) 6 : 10 : 5
   D.) 7 : 11 : 5

Answer: Option 'C'

A : B : C = (3x × 12) : (5x × 12) : (5x × 6) = 36x : 60x : 30x = 6 : 10 : 5

2.

Naresh analysed the monthly salary figures of five vice presidents of his company. All the salary figures are in integer lakhs. The mean and the median salary figures are Rs. 5 lakhs, and the only mode is Rs. 8 lakhs. Which of the options below is the sum of the highest and the lowest salaries?

   A.) Rs. 8 lakhs
   B.) Rs. 9 lakhs
   C.) Rs. 10 lakhs
   D.) Rs. 12 lakhs

Answer: Option 'B'

Mean Average of the values. Median Middle value. 
Mode Value with highest number of occurrences.
Let the salaries of the five vice-presidents in ascending order in lakhs be a, b, c, d and e.
Mean = 5 (a + b + c + d + e)/5 = 5 lakhs
a + b + c + d + e = 25 lakhs
Median = 5 lakhs c is the middle value.
c = 5
Mode = 8 lakhs 
8 should be the salary of more than 1 VP.
Only d and e are greater than 5.
So, d = e = 8 lakhs
Two possible values, a = 1, b = 3, a = 2, b = 2
Both a and b can't be 2 since there is only one mode(8).
So, a = 1, b = 3 Sum of highest and lowest = a + e = 1 + 8 = Rs. Rs. 9 lakhs
 

3.

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A world invest Rs. 6500/- for 6 months, B, Rs. 8400/- for 5 months and C, Rs. 10,000 for 3 months. A is the only working partner and hence gets 8% of the profits. The profits earned was Rs. 7400. Calculate the share of B in the profit.
 

   A.) Rs. 2800/-
   B.) Rs. 1400/-
   C.) Rs. 3700/-
   D.) Rs. 2576/-

Answer: Option 'D'

A : B : C = (6500 * 6) : (8400 * 5) : (10000 * 3) = 13 : 14 : 10 
8% goes to A.
Of the remaining 92%,
B's share = 0.92 * 7400 * 14/37 = Rs. 2576/-

4.

Five bells commence tolling together and toll at intervals of 2, 5, 6, 8 and 9 seconds respectively. How many times do they toll together in an hour?

   A.) 10
   B.) 11
   C.) 12
   D.) 13

Answer: Option 'B'

They toll together at the zeroth second.
The next time they toll together = LCM(2,5,6,8,9) = 360 seconds = 6 minutes
Every 6 minutes, they toll together.
In an hour(60 mins), they toll together (60/6) + 1 = 11 times
1 is added because they toll at the zeroth second 0,6,12,18,24,30,36,42,48,54,60

5.

A chemical plant has tanks (A, B, C and D) each containing 1000 litres of a chemical. The chemical is being pumped from one tank to another as follows: From A to B at 20 litres/min From C to A at 90 litres/min From A to D at 10 litres/min From C to D at 50 litres/min From B to C at 100 litres/min From D to B at 110 litres/min Which tank gets emptied first, and how long does it take (in minutes) to get empty after pumping starts?

   A.) A, 17.77
   B.) C, 22
   C.) D, 20
   D.) D, 25

Answer: Option 'C'

Let X be the part of tank filled per minute and Y be the part of tank emptied per minute.
Tank X Y A 90 (20+10) B (110+20) 100 C 100 (90+50) D (10+50) 110 From the above table,
we can see that D and C will empty soon.
Time taken to empty D = 1000/(110-60) = 1000/50 = 20 minutes
Time taken to empty C = 1000/(140-100) = 1000/40 = 25
Hence, D gets emptied first
 

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