# Arithmetic - Online Test

Q1. If the list of letters, P, R, S, T, U is an arithmetic sequence, which of the following are also in arithmetic sequence?
I. 2P,2R,2S,2T,2U
II. P-3,R-3,S-3,T-3,U-3
III. P2, R2, S2, T2, U2
Explaination / Solution:
No Explaination.

Q2. Pick the odd one from the following options.
Explaination / Solution:

Q3. Among 150 faculty members in an institute, 55 are connected with each other through Facebook® and 85 are connected through WhatsApp®. 30 faculty members do not have Facebook® or WhatsApp® accounts. The number of faculty members connected only through Facebook® accounts is ______________.
Explaination / Solution:

Q4. In a 2 × 4 rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid?

Explaination / Solution:

Q5. Pick the odd one out in the following: 13, 23, 33, 43, 53
Explaination / Solution:

Q6. If |9y−6| = 3, then y2 −4y/3 is ________ .
Explaination / Solution:

Q7. Find the smallest number y such that y×162 is a perfect cube.
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.

Q8. Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every woman has a left-handed person to her immediate right. None of the women are right-handed. The number of women at the table is
Explaination / Solution:

Out of six people, 3 place definitely occupied by right handed people as atleast 2 women are there so these two will sit adjacently. Now as only one seat is left it will be occupied by a left handed man because on right side of this seat is sitting an right handed man.

Therefore, answer should be 2 women.

Q9.
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25m intervals in this plot. If in a flood, the water level rises to 525m. Which of the villages P,Q,R,S,T get submerged?

Explaination / Solution:

The given contour is a hill station, the peak point of this hill station is P, it is under a contour of 550. At floods, the water level is 525m. So the village of R, S and T are under a contour of 500. Therefore these villages are submerged.

Q10. 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?
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