IBPS PO Prelims 3 oct 2020 - Category wise Question and Answer Practice Test with Solutions & PDF
IBPS PO PRACTICE TEST [1 - EXERCISES]
IBPS PO Prelims 3 oct 2020
Question : 86 [IBPS-PO-Prelims-2020]
A and B started a business in a partnership. Ratio between the investments of A and B was 5 : 4. If A invested for 12 months and at the end of the year the ratio of prot was 15 : 8, then for how much time B invested?
a) 8 months
b) 9 months
c) 6 months
d) 10 months
e) None of these
Answer »Answer: (a)
Let B invested for x months, then
According to question we get,
(5 × 12) : (4 × x) = 15 : 8
⇒ 15 : x = 15 : 8
⇒ x = 8
Question : 87 [IBPS-PO-Prelims-2020]
A and B together can do a piece of work in 12 days, A and C together can do the same work in 15 days. If B and C together can do the same work in 20 days, then in how many days A, B and C together can complete the same work?
a) 8
b) 6
c) 10
d) 9
e) None of these
Answer »Answer: (c)
Let the total work = 60 (LCM of 12, 15 and 20)
Efciency of A and B together = $60/12$ = 5
Efciency of B and C together = $60/20$ = 3
Efciency of C and A together = $60/15$ = 4
So, efciency of A, B and C together = $\text"5+3+4"/2$ = 6
Hence, the required number of days = $60/6$ = 10 days.
Question : 88 [IBPS-PO-Prelims-2020]
4 years hence, the ratio of ages A and B will be 5 : 7 and 6 years hence, the ratio of ages will be 11 : 15, then nd their present ages.
a) 20 years, 26 years
b) 16 years, 24 years
c) 18 years, 28 years
d) 12 years, 18 years
e) None of these
Answer »Answer: (b)
Let the present ages of A and B be a years and b years, then
According to question
$\text"a+4"/5=\text"b+4"/7$
⇒ 7a – 5b = –8 …. (i)
And
$\text"a+6"/11=\text"b+6"/15$
⇒ 15a – 11b = –24 …. (ii)
On solving equations (i) and (ii), we get
a = 16 and b = 24
Hence, the ages of A and B will be 16 years and 24 years respectively.
Question : 89 [IBPS-PO-Prelims-2020]
Running at the speed of 3 km/hr, a person reaches his destination 10 minutes later than usual time. if he increases his speed by 1 km/hr, he reaches his destination 15 min earlier. nd the distance to his destination.
a) 10 km
b) 12 km
c) 5 km
d) 4 km
e) None of these
Answer »Answer: (c)
Let the distance to his destination be d km, then
According to question we get,
$d/3$ – $d/(3+1) = \text"10+15"/60$
⇒$d/3$ – $d/4 = 5/12$
⇒$d/12 = 5/12$
⇒ d = 5
Hence, the distance to his destination = d = 5 km
Question : 90 [IBPS-PO-Prelims-2020]
A person invests a certain amount on simple interest. After 8 years he gets 16% interest. If he invests the same sum for 4 years, then he gets Rs. 9600 as interest, then the sum is
a) Rs. 96000
b) Rs. 80000
c) Rs. 48000
d) Rs. 60000
e) None of these
Answer »Answer: (e)
In 8 years, he gets 16% as interest, then
In 4 years, he will get = 8% as interest
According to question
8% ≡ Rs. 9600
⇒ 1% ≡ Rs. 1200
⇒ 100% ≡ Rs. 120000
Hence, the sum = 100% ≡ Rs. 120000.
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