Quant Quiz

Direction (Q1-4): What should come in place of the question mark (?) in the following number series?

Q1. 58, 82, 102, 128, 166, ?
a. 198
b. 204
c. 208
d. 216
e. 220

Q2. 48123, 51876, 31490, 68509, 57673, ?
a. 42326
b. 83149
c. 23021
d. 64357
e. None of these

Q3. 1, 1, 8, 34, 97, ?
a. 112
b. 162
c. 205
d. 181
e. None of these

Q4. 1605, 1508, 1419, 1336, 1257, ?
a. 1180
b. 1184
c. 1190
d. 1188
e. None of these

Q5. Ambuj gives Sidharth a head start of 10 meter in 100 meter race and still beats him by 15 meters. If Ambuj is able to complete 200 meter race in 25 seconds then how much time will Sidharth take to complete 100 meter race?
a. 18.23 seconds 
b. 20 seconds 
c. 15 seconds
d. 16.67 seconds
e. None of these

Q6. Ela purchased two items A and B for a total of Rs. 1000. She sold A at a loss of 20% and B at a profit of 25%  thus she gained Rs. 200 on overall transaction. What are the prices of A and B respectively?
a. Rs. 111, Rs. 889
b. Rs. 200, Rs. 800
c. Rs. 150, Rs. 850
d. Rs. 120, Rs. 880
e. None of these

Q7. At what interest rate will a sum of money double itself in 3 years if the interest is compounded annually?
a. 22.5%
b. 26%
c. 24.3%
d. 28.2%
e. 27.5%

Q8. A man travels 120 km by ship, 450 km by train and 60km by cycle taking a total time of 13 hours 30 min. The speed of the train is 3 times that of the cycle and one and half times the speed of ship. What is the speed of train?
a. 60 km/hr
b. 45 km/hr
c. 75 km/hr
d. 90 km/hr
e. None of these

Q9. How many four digit numbers can be formed from 1, 5, 0, 3, and 7?
a. 625
b. 500
c. 120
d. 480
e. None of these

Q10. After giving two successive discounts of 20% and 10% a shopkeeer suffers a loss of 5%. What is the mark up percentage?
a. 30%
b. 35%
c. 32%
d. 25%
e. 27%

Answers:

1-a

198

The pattern is 19×3+1=58, 20×4+2=82, 21×5-3=102, 22×6-4=128, 23×7+5=166, 24×8+6=198

2-a

42326
The digits of the number at the even place are the complement of 9 of the digits of the previous number.
99999-48123=51876
99999-31490=68509
99999-57673=42326

3-e

None of these
The pattern is,
1 + (1³ – 1) = 1
1 + (2³ – 1) = 8
8 + (3³ – 1) = 34
34 + (4³ – 1) =97
So the next term is 97 + (5³ – 1) = 221

4-b

1184
The difference between the terms are 97, 89, 83, 79, 73, i.e.consecutive decreasing prime numbers. Hence the next term is 1257 – 73 = 1184

5-d

16.67 seconds
Ambuj gives Sidharth a head start of 10 meter in 100 meter race and still beats him by 15 meters. It means when Ambuj completes 100m, in the same time Sidharth is able to complete only 100-15-10=75m
Hence the ratio of speeds of Ambuj and Sidharth = 100 : 75 = 4 : 3
Ambuj’s speed = (200÷25) = 8m/sec
Hence Sidharth’s speed = 6m/s
So the time taken by him to complete 100 meter race = 100 ÷ 6 = 16.67 seconds

6-a

Rs.111, Rs. 889
Let the price of A and B be Rs. a and Rs. b respectively 
The according to the 1st condition, a + b = 1000 …..(1)
Ela sold A at a loss of 20%, hence selling price of A = 0.8 x a = Rs. 0.8a
Similarly selling price of B = Rs. 1.25b
According to the question, 0.8a + 1.25b = 1200 …..(2)
By solving (1) and (2)
We will get a = 1000/9 = Rs. 111 and b = 8000/9 = Rs. 889

7-b

26%
A = P(1 + r/100)^T
As per he question A = 2P
=> 2P = P (1 + r/100)³
=> (1 + r/100)³ = 2
=> 1 + r/100 = 2^(1/3) 
=> r = 26%

8-a

60 km/hr
Let the speed of the cycle be 2a km/hr
Then the speed of the train = 6a km/hr and speed of the ship = 4a km/hr
Total time taken = 13 hours and 30 min = 27/2 hours
120/4a + 450/6a + 60/2a = 27/2
135a = 27/2 => a = 10
Hence speed of the train = 6a = 6 x 10 km/hr

9-b

500
At the thousand’s place we can’t fill 0 hence we are left with 4 choices
But we can fill the remaining places in 5ways each
So the total number of numbers that can be formed = 4 x 5 x 5 x 5 = 500

10-c

32%
Let the cost price be Rs. 100a
Since the person is having a loss of 5% so the selling price is Rs. 95a
Let the marked price be M. 
Sence the shopkeeper gives two successive discounts of 20% and 10%
M x 0.80 x 0.90 = 95a
M = 131.94a
Hence the mark up % = 31.94% ≈ 32%