# Quant Test for IBPS PO Prelims Exam set – 26

Directions(1-5): What approximate value will come in place of question mark ‘?’ in the following question.

1. ? = 30% of 420 + 40% of 420 + 50% of 420 +60% of 420
700
742
756
710
722
Option C
? = 30% of 420 + 40% of 420 + 50% of 420 +60% of 420
=> ? = ( 30 + 40 + 50 + 60) % of 420
=>? = 180% of 420
=>? = 756

2. ?^2 = {15 *(23^2 – 19^2)} – 17*7
33
49
38
40
52
Option B
?^2 = {15 *(23^2 – 19^2)} – 17*7
=>?^2 = {15 * 42 * 4 } – 119
=>?^2 = 2520 – 119
=>?^2 = 2401
=>? = 49

3. (478 – ?^2 +11)% of 450 = 900
10
15
19
17
21
Option D
(478 – ?^2 +11)% of 450 = 900
=> 478 -?^2 +11 = 900
=>?^2 = 289
=>? = 17

4. (14.28% of 12.5% of 33.33% of 840)^3 + (1936)^1/2
136
150
144
160
169
Option E
(14.28% of 12.5% of 33.33% of 840)^3 + (1936)^1/2
=>? = (1/7 * 1/8 * 1/3 * 840)^3 + 44
=>? = 5^3 + 44
=>? = 169

5. {(9^3 / 3^4) * 5}% of 4500 – ? = 1305
700
720
689
650
680
Option B
{(9^3 / 3^4) * 5}% of 4500 – ? = 1305
=> {(729 / 81)* 5}% of 4500 – ? = 1305
=> 45% of 4500 – 1305 = ?
=> ? = 2025 – 1305
=>? =720

6. A boat can travel 20 km downstream in 24 min. The ratio of the speed of the boat in still water to the speed of the stream is 4 : 1. How much time will the boat take to cover 15 km upstream?
20
10
30
15
25
Option C
Down speed =20/24*60=50km/hr
4:1 =4x:x
Downstream speed = 4x+x=5x
Upstream speed = 4x-x=3x
5x= 50; x=10
so up speed 3*10=30
Time = 15/30*60= 30min.

7. P and Q started a business by investing Rs 8,000 and Rs 9,000 respectively. After 4 months P withdrew Rs 400 and Q added Rs 400 more. What is the share of Q from the profit of Rs 10,200?
5200
5420
5100
5560
5360
Option D
8000*4 + 7600*8 : 9000*4 + 9400*8
116 : 139
Share of B = 139/(116+139) * 10200 = 5560

8. A sum of Rs. 8800 is to be divided among three brothers P, Q and R in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal. The share of P is more than that of R by?
3250
3120
3000
3200
3452
Option D
x*5*1/100 = y*5*2/100 = z*5*3/100
x:y:z = 6:3:2
The share of P is more than that of R by = 4/11 * 8800 = 3200

9. The simple interest on a certain sum of money at 4% per annum for 5 years is 100 more than the interest on the same sum for 3 years at 5% per annum. Find the sum.
4500
3500
2000
2500
2200
Option C
p*(4/100)*5 – p*(5/100)*3 = 2000

10. A urn contains 4 red balls, 5 green balls and 6 white balls, If one ball is drawn at random, find the probability that it is neither red nor white ?
1/4
1/5
1/3
1/8
1/6
Option C
Required Probability = 5c1/15c1 = 1/3