Arithmetic - Online Test
Q1. In a process, the number of cycles to failure decreases exponentially with an increase in load.
At a load of 80 units, it takes 100 cycles for failure. When the load is halved, it takes 10000
cycles for failure. The load for which the failure will happen in 5000 cycles is
Answer : Option B
Explaination / Solution:
From the data given we assume
Q2. Find the smallest number y such that y × 162 is a perfect cube.
Answer : Option D
Explaination / Solution:
Factorization of 162 is 2 × 3 × 3 × 3 × 3
y × 162 is a perfect cube
y × 2 × 3 × 3 × 3 × 3 = Perfect cube
For perfect cube 2's & 3's are two more required each.
Q3. The probability that a k-digit number does NOT contain the digits 0,5,or 9 is
Answer : Option C
Explaination / Solution:
Each digit can be filled in 7 ways as 0, 5 and 9 are not allowed. So each of these places can be
filled by 1, 2, 3, 4, 6, 7, 8.
Q4. Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured
red, pink, blue and white respectively. Arun dislikes the colour red and Shweta dislikes the
colour white. Gulab and Neel like all the colours. In how many different ways can they
choose the shirts so that no one has a shirt with a colour he or she dislikes ?
Answer : Option D
Explaination / Solution:
As there are 4 people A,G,N,S and 4 colours so without any restriction total ways have to be
4 × 4 = 16
Now, Arun → dislikes Red and
Shweta →dislikes white
So 16-2=14 ways
Q5. 25 persons are in a room. 15 of them play hockey, 17 of them play football and
10 of them play both hockey and football. Then the number of persons playing
neither hockey nor football is:
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. If 137+276=435 how much is 731+672?
Answer : Option B
Explaination / Solution:
No Explaination.
Q7. Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters).
All were born on 1st january. The age difference between any two successive
siblings (that is born one after another) is less than 3 years. Given the following
facts:
i. Hari’s age + Gita’s age > Irfan’s age + Saira’s age
ii. The age difference between Gita and Saira is 1 year. However Gita is not the
oldest and Saira is not the youngest.
iii. There are no twins.
In what order were they born (oldest first)?
Answer : Option D
Explaination / Solution:
No Explaination.
Q8. 5 skilled workers can build a wall in 20days: 8 semi-skilled workers can build a wall
in 25 days; 10 unskilled workers can build a wall in 30days. If a team has 2 skilled, 6
semi-skilled and 5 unskilled workers, how long will it take to build the wall?
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. Given digits 2,2,3,3,4,4,4,4 how many distinct 4 digit numbers greater than 3000
can be formed?
Answer : Option C
Explaination / Solution:
No Explaination.
Q10. Students applying for hostel rooms are allotted rooms in order of seniority. Students already
staying in a room will move if they get a room in their preferred list. Preferences of lower
ranked applicants are ignored during allocation.
Given the data below, which room will Ajit stay in?
Answer : Option B
Explaination / Solution:
As per their preferences given
Amar →R
Akbar → S
Antony → P
Ajit → Q
