Quantitative Aptitude Quiz - 48 | Bank exams

Directions(1-5): What will come in place of the question mark (?) in the given number series?

1. 6      11      31         121          601           ?

a)3600

b)3621

c)3601

d)3611

e)3602

2. 7       11       19          35           67             ?

a)99

b)131

c)9264

d)137

e)124

3. 8       22        64          190          568          ?

a)1702

b)1654

c)1650

d)1706

e)1705

4. 5760       2880      960     240      48          ?

a)6

b)12

c)8

d)24

e)16

5. 2          3        18           115         854         ?

a)6027

b)7767

c)6992

d)6913

e)6059

6.A car covers the first 39 Km of its journey in 45 minutes and the remaining 25 Km in 35 minutes. What is the average speed of the car?

a)40 Km/hr

b)64 Km/hr

c)49 Km/hr

d)48 Km/hr

e)None of these

7.The sum of the digits of a two - digit number is 12 and when the digits of the two-digit number are interchanged, the new number becomes 36 more than the original number. What is the original two-digit number?

a)84

b)93

c)48

d)39

e)Cannot be determined.

8.A, B and C entered into a partnership by investing Rs 64000, Rs 52000 and Rs 36000 respectively. All of them invested for equal periods of time. If A got Rs 35584 as his share of annual profit, what amount did C get as his share of annual profit?

a)Rs 20632

b)Rs 18296

c)Rs 21084

d)Rs 19768

e)Rs 20016

9. If a man runs at 6 kmph from his house he misses the train at the station by 8 minutes. If he runs at 10 Kmph he reaches 7 minutes before the departure of the train. What is the distance between the station and the man's house?

a)4 3/4

b)3 1/2

c)4 1/4

d)3 3/4

e)4 1/2

10.The number of students in institutes A and B were in the ratio 7 :15 in 2012. In 2013 the no: of students in Institute A increased by 25% and the no: of students in Institute B increased by 26%. Then what was the ratio of the no: students in institute A to that in B in 2013?

a)25 : 56

b)24 : 55

c)24 : 53

d)25 : 53

e)25 : 54

Answers
1.c
The series is 6 x 2 -1 =11, 11 x 3 - 2 = 31, 31 x 4 - 3 =121, 121 x 5 - 4 = 601, 601 x 6 -5 = 3601

2.b
The series is +2^2 , +2^3, +2^4, +2^5, +2^6 etc

3.a
The series is 8 x 3 -2=22, 22 x 3 - 2 =64, 64 x 3 -2 =190, 190 x 3 -2 =568, 568 x 3 -2 =1702

4.c
The series is 5760/2 =2880, 2880/3 =960, 960/4 =240, 240/5 =48, 48/6 =8

5.b
The series is 2 x 1 + 1^2 = 3, 3 x 3 + 3^2 =18, 18 x 5 + 5^2 =115, 115 x 7 + 7^2 =854, 854 x 9 + ^2 =7767

6.d
Average speed = Total distance/Total time
(39 + 25)/(45 +35) minutes = 64/80 x 60 = 48 km/hr

7.c
Let the units digit be x and the tens digit be y
Then, the number = 10y + x
According to the question,
x + y =12... (1)
And 10x + y = 10y + x+36
9x - 9y =36
x - y = 4....(2)
By solving (1) and (2), we get
x = 8
Putting the value of x in (1), we get y = 4
Hence, the number = 10y + x = 10 x 4 + 8 = 48

8.e
Required ratio of profit of A : B : C = 64 : 52 : 36 = 16 : 13 : 9
Now, let the share of profit of A be 16x, that of B be 13x and that of C be 9x
The share of profit of A = 35584
16x = 35584
x = 35584/16 = Rs 2224
Hence the share of profit of C = 9 x 2224 = Rs 20016

9.d
Let the distance be x
x/6 - x/10 = (8 +7)/60
(5x - 3x)/30 = 15/60
x = 3 3/4

10.e
Required ratio = (7 x 125)/100 : 15 x 126/100
175 : 368 = 25 : 54