Quantitative Aptitude Quiz for SBI PO | IBPS | RBI – Set 105

1. 50 people can do 1/4th of work in 20 days working 4 hrs each day. How many people need to be joined in order to complete the work in 40 days working same number of hours as before?
a) 75
b) 50
c) 20
d) 25
e) None of these

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Ans: d) 25

Explanation:
M1*D1*H1*W2 = M2*D2*H2*W1
50*20*4*(3/4) = (50+x)*40*4*(1/4)
x = 25.

2. Fruits were purchased for Rs 350. 9 boys ate 3/5th of them in 2 hours. 6 boys feel their stomach as full so do not eat further. In how many hours the remaining fruits will get finished by remaining boys?
a) 2 hours
b) 3 hours
c) 5 hours
d) 4 hours
e) 6 hours

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Ans: d) 4 hours

Explanation:
Remaining boys = 3, remaining fruits = 2/5th
Eating is work here. So
M1*H1*W2 = M2*H2*W1
9*2*(2/5) = 3*H2*(3/5)
Solve, H2 = 4.

3. The ratio of the age of a mother to that of his son at present is 9:6 and the ratio of the son to that of his father will be 1:2.What is the ratio of the present age of the mother to that of father ?
a) 3:4
b) 1:3
c) 2:5
d) 3:2
e) None of these

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Ans: a) 3:4

Explanation :
9:6 :: 1:2
9:6::6:12
9:6:12 => 3:2:4

4. Average age of a group of 32 students is 26 years. If a teacher is included then the average age rises by 1 year,then the present age of teacher is
a) 59 years
b) 48 years
c) 37 years
d) 42 years
e) None of these

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Ans: a) 59 years

Explanation :
Students total age = 32*26 = 832
Students & Teacher total age = 33*27 = 891
Teacher = 891-832 = 59.

5. To do a certain work in 9 days, some men were employed. All came on the first day, but after seeing that there is too much labor for the work, 6 men left the work after 1 day. If the work is now completed in 6 days more than the scheduled time, how many men were initially employed?
a) 14
b) 15
c) 20
d) 18
e) 12

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Ans: a) 14

Explanation:
After 1 day, x men were to work for 8 days, but 6 men left, now (x-6) men will complete the same remaining work in (8+6) = 14days.
So x*8 = (x-6)*14
Solve, x = 14.

6. (67.78)² + (47.42)² – (123.98 – 89.09)² + √289.05= ?²
a) 85
b) 75
c) 55
d) 65
e) None of these

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Ans: b) 75

Explanation :
= 68² +47² – 35²+17
= 4624+2209-1225+17
=5625
?² = 75*75.

7. √(59*98) + 587.10 – 0.005 *0.2 = ?
a) 764
b) 510
c) 478
d) 662
e) None of these

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Ans: d) 662

Explanation :
= √(59*98) + 587.10 – 0.005 *200
= 76+5;87 – 1 = 662.

(8 – 10): You have to solve equation I and II ,Give answer
a) If X > Y
b) If X < Y
c) If X ≥ Y
d) If X ≤ Y
e) If X = Y or cannot be established.

8.
I. P² + 9P = 2P – 12
II. 4Q² + 8Q = 4Q + 8

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Ans: b) If X < Y

Explanation :
p² + 9p = 2p – 12
(p + 3) (p + 4 ) = 0
p = – 3, – 4
4q² + 8q = 4q + 8
4q² + 4q – 8 = 0
(q + 2) (q – 1) = 0
q = -2, 1
P<Q

9.
I. (x+y)² = 900
II. Y + 1689 = 1705

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Ans: b) If X < Y

Explanation :
y = 1705 – 1689 = 16
(x + y)² = 900
x + y = 30
x = 30 – 16 = 14
16>14
Clearly, x < y

10.
I.  X² = 1296
II. Y = √1296

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Ans: d) If X ≤ Y

Explanation :
X = ±36
Y = 36
X≤Y