Quantitative Aptitude Quiz – 58 (Mixed)

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Welcome to DayTodayGK’s Quantitative Aptitude Quiz section. Here we are posting some important Quiz which can help you in your practice. 

1.A, B and C run on a circular track of 1200 m. Speeds of A, B and C are 30 m/s, 36 m/s and 42 m/s. When will they meet for the first time ?
a) 4 min 30 sec
b) 3 min 12 sec
c) 5 min 40 sec
d) 3 min 20 sec
e) None of these

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Answer d)
Sol: Req. time = LCM(Lowest common multiple) of 1200/(42 – 30) and 1200/(42-36)
= > LCM of 200 and 100 => 200 sec = 3 min 20 sec

2. A started some business with 26000. After 3 months B joined with 16000. After some more time C joined them with 25000. At the end of the year, out of a total profit of  15453, C gets 3825 as his share. How many months after B joined the business did C join ?
a) 4
b) 6
c) 2
d) 7
e) None of these

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Answer e)
Ratio of profits = 26000×12 : 16000×9 : 25000 × x
=> 312 : 144 : 25 x
=> C’s share = 25x/(456+25x) = 3825/15453
=> x = 6 months
Therefore, C joined 3 months later than B joined.

3. The average salary of A, B and C is ` 12000 and average expenditure of A is ` 7000, then the average saving of B and C is–
1) 4500
2) 6000
3) 3500
4) Can’t be determined
5) None of these

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Answer 4) We need more information to calculate savings of each one.

4.Two varieties of soda water with different prices is mixed in the ratio of 2:3 . The price of first soda water is rs 50 for 5 liter while the price of second soda water is rs 15 per liter, respectively. The price of 5 liter mixture is :
a) 60
b) 65
c) 50
d) 70

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Answer b)
We use allegation method when the prices are per unit.
So price of first soda water / liter= 10
10__________15
____x________
2__________3
== >(15-x)/(x-10)= 2/3 ===> x=13 /liter , for 5 liter= 65

5. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
a) 3:8
b) 5:3
c) 8:3
d) 7:4

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Answer c)
8 hr 48 = 8 48/60 = 8 4/5= 44/5 hr
Downstream speed= D , Upstream Speed= S
According to the question
D* 4 = S * 44/5 == > D/S= 11/5
Need to find X/S == > {D+S}/2 / {D-S}/2 == > 11+5/ 11-5 = 16/6= 8:3

Direction (Q.6-10) : What should come in the place of questions mark(?) in the following questions:

6. 104, 109, 99, 114, 94, ?
a) 121
b) 119
c) 129
d) 109
e) None of these

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Answer b)
104 (+5)= 109
109 (-10)= 99
99 (+15)= 114
114 (-20)= 94
94 (+25)= 119

7. 12, 33, 96, 285, ?, 2553
a) 852
b) 679
c) 1016
d) 983
e) None of these

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Answer a)
12( *3-3 )= 33
33( *3-3 )= 96
96 ( *3-3 )= 285
285 ( *3-3 )= 852
852 ( *3-3 )= 2553

8. 7, 18, 51, ?, 183, 282, 403
a) 108
b) 117
c) 98
d) 106
e) None of these

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Answer d)

7 { +(11*1) }= 18

18 { +(11*3) }= 51

51 { +(11*5) }= 106

106 { +(11*7) }= 183

183 { +(11*9) }= 282

282 { +(11*11) } =403

9. 2, 54, 300, 1220, 3672, ?
a) 6830
b) 7016
c) 7350
d) 8208
e) None of these

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Answer c)
2 {*6+(6*7)}= 54
54 {*5+(5*6)}=300
300 {*4+(4*5)}= 1220
1220 {*3+(3*4)}= 3672
3672 {*2+(2*3)}= 7350

10. 29, 37, 21, 45, 13, 53, ?
a) 8
b) 5
c) 24
d) 6
e) None of these

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Answer b)
29 (+8)= 37
37 (-16)= 21
21 (+24)= 45
45 (-32)= 13
13 (+40)= 53
53 (-48)= 5

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