SBI Clerk 2018: Quantitative Aptitude Quiz for Prelims – 29

Hello and welcome to exampundit. Here is a set of Quantitative Aptitude Quiz on Time & Distance based problems with Shortcut Solutions for Prelims exam of SBI Clerk 2018.

SBI Clerk 2018 Quantitative Aptitude Quiz

1. Rahul took 66 min to reach his office in place of the usual 55 min, by what % had he reduced his speed?
1) 15.57
2) 26.67
3) 16.67
4) 25.56
5) None of these

Answer & Solutions

Option: 3

Explanation: S1 / S2 =66/55 S1 – S2 = 6- 5= 1
1/6 * 100= 16.67

 

2. Sachin increases his speed by 25%, he reaches his destination in 10 min early. What is the time that he usually takes to reach his destination?
1) 40
2) 60
3) 50
4) 55
5) None of these

Answer & Solutions

Option: 3

Explanation: S = 1/T 100= 1/T 125= 1/T-10
100/125 = T-10 / T T= 50

 

3. Sourav increases his speed from 30 km/hr to 40 km/hr and he reaches his office 15 min earlier. What is the destination he travels to reach his office?
1) 30
2) 20
3) 40
4) 50
5) None of these

Answer & Solutions

Option: 1

Explanation: 30 /40 = T – 15/ T
T= 60 MIN = 1 HR
D= 30 * 1 = 30 KM

 

4. A takes 12 min, X takes 8 min and P takes 6 min to cover 1250 metre distance. What is speed ratio of A, X and P?
1) 2:3:4
2) 3: 2:4
3) 4: 2:3
4) 3:4:2
5) None of these

Answer & Solutions

Option: 1

Explanation: Time ratio= 12 : 8 : 6
Speed ratio = 1/12 : 1/8 : 1/6 =2 : 3: 4

 

5. The distance between Kolkata and Bangalore is 2.5 km. A with 2.8 km/hr speed was running from Kolkata to Bangalore and B was running with 4.2 km/hr speed from Bangalore to Kolkata. At what distance from B’s initial position do they meet?
1) 1.5
2) 1
3) 2.5
4) 1
5) None of these

Answer & Solutions

Option: 1

Explanation: A : B= 2.8 : 4.2 = 2: 3
2.5 * 3/5 = 1.5 km B
2.5 * 2/5 = 1km

 

6. Salman and Vivek leave their places and start moving towards each other. If they 50 m apart after 2 min and 3 min respectively, how far apart are their place?
1)150
2) 200
3) 275
4) 250
5) None of these

Answer & Solutions

Option: 4

Explanation: Relative time= 2 +3/2 = 2.5 min
Meeting time = 2.5 min [ First in 2 min= 50 m Second in 3 min = 50 m] Average= 2.5 min
0.5 min – 50 m
2.5 min – 250 m

 

7. The distance between Delhi and Agra is 450km. A train starts t 4 pm from Delhi and moves toward Agra at an average speed o 60 km/hr. another train starts from Agra at 3:20 pm and moves toward Delhi at an average speed of 80 km/hr. How far from Delhi will the two trains meet and at which time?
1) 170 , 6:50
2) 175, 6:50
3) 170 , 6: 20
4) 168 , 4:50
5) None of these

Answer & Solutions

Option: 1

Explanation: 450 – x /80 – X/60 = 40/60
X= 170
A= 170 / 60 = 2.50
4 pm + 2.50 =6 : 50 pm

 

8. Walking ¾ th of his usual speed, a person is 10 min late to his office. Find his usual time to cover the distance.
1)30
2) 40
3) 50
4) 60
5) None of these

Answer & Solutions

Option: 1

Explanation: 4t/3 – t =10
T = 30

 

9. In a race of 1 km, a beats B by 50 meter or by 15 sec. What is the speed of A?
1)3
2) 3.5
3) 3.65
4) 3.05
5) None of these

Answer & Solutions

Option: 2

Explanation: A/ B= 1000/950 = 20/19
B, 15 sec = 50 meter
1 sec= 50/15 = 10/3 m
A= 10/3 * 20/19 = 3.5 m/sec

 

10. P defeats Q by 12 m and R by 20 m in a race. If Q defeats R by 10 m in the same race, what is the distance of the race?
1)60
2) 50
3) 40
4) 65
5) None of these

Answer & Solutions

Option: 1

Explanation: P= 100 Q= 88 R= 80 [ here diff between Q and R is 88-80= 8] Q= 100 R= 90 [ Here diff is 100-90 = 10] When diff is 10 B complete 100%
When diff is 8 B completes 80%
20% = 12
100% = 12 *100/ 20 = 60

 

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