Quantitative Skills Test-5

Result

Quantitative Skills Test-5

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Weekly Quiz Competition

Question 1
1 / -0

If the 6-digit numbers x35624 and 1257y4 are divisible by 11 and 72 respectively, then what is the value of (5x-2y)?

A
12

B
10

C
14

D
13

E
16

Solution

Divisibility rule of 11: If the difference of the alternating sum of digits of the number is a multiple of 11 (e.g. 2343 is divisible by 11 because 2-3+4-3=0, which is a multiple of 11.)

Divisibility law of 8: A number is divisible by 8 if the number formed by its last three digits is divisible by 8.

Divisibility law of 9: A number is divisible by 9 if the sum of its digits is divisible by 9.

The 6-digit numbers x35624 is divisible by 11, then

⇒ x-3+5-6+2-4=0

⇒ x+7-13=0

⇒ x=6

The 6-digit number 1257y4 is divisible by 72, so we can say that the number is also divisible by 8 and 9, then

⇒ 1+2+7+y+4

⇒ 19+y

If we put y=8, then the number becomes 27 which is divisible by 9.

In (5x-2y)

⇒ 5×6-2×8

⇒ 30-16

⇒ 14
Question 2
1 / -0

The marked price of a radio is 20% more than its cost price. If a discount of 10% is given on the marked price, the gain per cent is:

A
15

B
12

C
10

D
8

E
6

Solution
Question 3
1 / -0

Three cards are drawn at random one after another from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace.

A

B

C

D

E

Solution
Question 4
1 / -0

How many different salads can be made from onion, cucumber, tomato, and carrot?

A
24

B
16

C
15

D
17

E
12

Solution
Question 5
1 / -0

The speed of a boat in still water is 12 km/hr more than that of current. If the speed of the current is 1.25x km/hr and the time taken by the boat to cover 160 km in downstream is 5 hours then find the value of ‘x’.

A
8

B
6

C
4

D
10

E
12

Solution
Question 6
1 / -0

Directions For Questions

Direction: Study the following bar chart carefully and answer the questions given beside.

The bar chart given below shows the number of students who cleared the two examinations, RRB Scale 1 and RRB Assistant over the years per every 1000 students who appeared in these exams.

...view full instructions

The total number of students who cleared both the examinations together in 2014 is approximately what percent of the total number of students who cleared both the examination together in 2017? (Number of students who applied in 2014 is 50% less than the number of students who applied in 2017)

A
40.77%

B
41.27%

C
38.28%

D
39.41%

E
32.41%

Solution

Number of students who applied in 2014 is 50% less than the number of students who applied in 2017.

Let the total number of students who applied in 2017 = 2x thousands

Then the total number of students who applied in 2014 = 50% less than 2x thousands = 50% of 2x thousands = x thousands The total number of students who cleared both the examination together in 2014 = (120 + 145) out of 2000
Question 7
1 / -0

Directions For Questions

Direction: Study the following bar chart carefully and answer the questions given beside.

The bar chart given below shows the number of students who cleared the two examinations, RRB Scale 1 and RRB Assistant over the years per every 1000 students who appeared in these exams.

...view full instructions

The total number of students who applied in 2017 was 7.5 lakhs and the respective ratio of the number of students who applied RRB Scale I and RRB assistant 7:8 then find the respective ratio of the number of students who cleared RRB Scale I examination in 2017 and the number of students who cleared RRB assistant examination 2017 ?

A
4 : 5

B
6 : 7

C
3 : 4

D
2 : 3

E
3 : 8

Solution

The total number of students who applied in 2017 = 7.5 lakhs

The respective ratio of the number of students who applied RRB Scale I and RRB assistant 7:8

So, the number of students applied for RRB Scale I
Question 8
1 / -0

Directions For Questions

Direction: Study the following bar chart carefully and answer the questions given beside.

The bar chart given below shows the number of students who cleared the two examinations, RRB Scale 1 and RRB Assistant over the years per every 1000 students who appeared in these exams.

...view full instructions

If the total numbers of students appeared in RRB Scale I in 2016 was 2.5 lakhs then how many of them had cleared the RRB Scale I examination in 2016?

A
65000

B
75000

C
60000

D
70000

E
50000

Solution

The total numbers of students appeared in RRB Scale I in 2016 was 2.5 lakhs

In the question, it is given that 280 out of 1000 students cleared the RRB Scale I examination.

Then the total number of students out of 2.5 lakhs who cleared the examination
Question 9
1 / -0

Directions For Questions

Direction: Study the following bar chart carefully and answer the questions given beside.

The bar chart given below shows the number of students who cleared the two examinations, RRB Scale 1 and RRB Assistant over the years per every 1000 students who appeared in these exams.

...view full instructions

What is the respective ratio of the total number of students who cleared RRB Scale I examination over the years and the total number of students who cleared RRB Assistant examination over the years? (the total number of students applied for RRB Scale I examination over the years is 75% the total number of students applied for RRB Assistant examination over the years)

A
79 : 61

B
61 : 79

C
237 : 244

D
79 : 81

E
239 : 245

Solution

Let the total number of students applied for RRB Assistant examination over the years = 4x thousands

Then the total number of students applied for RRB Scale I examination over the years = 75% of 4x thousands = 3x thousands

According to the question, the total number of students cleared RRB Scale I examination over the years = 790 out of 5000
Question 10
1 / -0

If in an A.P., first term is 20 and 12^th term is 120 . Find the sum up to 12^th term.

A
420

B
840

C
140

D
1680

E
820

Solution