# Quant Test for SBI PO Prelims Exam set – 09

1. Work done by A in one day is four times the work done by B in one day, while the work done by B in one day is one-third of the work done by C in one day. C alone can complete the work in 16 days. In how many days can all the three together complete the work?
9 days
8 days
6 days
3 days
4 days
Option C
C = 16 days B = 3(16)= 48 days
A days = 48/4 = 12 days
All together = 1/[1/16+1/48+1/12] = 6 days

2. The total of the ages of a class of 60 girls is 900 years. The average age of 20 of the girls is 12 years and that of the other 20 girls is 16 years. What is the average age of the remaining girls
14 years
19 years
15 years
10 years
17 years
Option E
20*12 + 20*16 + 20x = 900
=>x = 17 years

3. A tap can empty a tank in one hour. A second tap can empty it in 30 min. If both the taps operate simultaneously, how much time is needed to empty the tank?
70 mins.
10 mins.
30 mins.
40 mins.
20 mins.
Option E
Required time = 1/[1/60+1/30] m6n. = 20 mins.

4. When the price of sugar decreases by 10%, a man could buy 1 kg more for Rs. 270. Find the original price of sugar per kg ?
Rs.30
Rs.50
Rs.20
Rs.40
Rs.10
Option A
Decreased price = 10/100*270 = 27
Reduced price of Sugar = 27 Rs./ kg.
Original price of Sugar = 27*100/9 = Rs.30

5. The compound interest on a certain sum for 2 years at 20% per annum is Rs. 880. What is the simple interest on the same sum for double the time at half the rate percent per annum ?
900
700
500
800
600
Option D
Let Principal = P
Compound interest at 20% per annum for 2 years =(20 + 20 + 4)% of P = 44% of P
44% of P = 880 P = 2000
Simple Interest for 4 years at 10% per annum = 40% of 2000 = 800

6. Directions(6-10): Find the missing ‘?’ term of the following series.

7. 68, ?, 77, 104,168, 293
74
81
90
69
58
Option D
+1^3, +2^3, +3^3, +4^3, +5^3,
? = 69

8. 334, ?, 226, 217, 214, 213
253
235
241
212
220
Option A
-81,-27,-9,-3,-1
?= 253

9. 18, 19.7, 16.3, 23.1, 9.5,?
29.1
25.5
24.4
31.8
36.7
Option E
+1.7,-3.4,+6.8,-13.6
? = 36.7

10. 2, 5, 12, 27, 58, ?
119
120
111
118
121
Option E
*2+1
*2+2
*2+3
*2+4
? = 121

11. 16, 8, 12, 30,?, 472.5
100
105
90
98
84
Option B
*0.5,*1.5,*2.5,*3.5,*4.5
? = 105