Atos Written Test 2nd August 2007 Jamshedpur

Posted on :22-04-2016
Q1. Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?

a) 37.5%
b) 62.5%
c) 50%
d) None of these

Explanation:

Let, 5 pens + 7 pencils + 4  erasers = x  rupees
so 10 pens  + 14 pencils + 8 erasers = 2*x rupees
also mentioned, 6 pens + 14 pencils + 8 erasers = 1.5*x rupees
so (10-6) = 4 pens = (2-1.5)x rupees
so 4 pens = 0.5x rupees => 8 pens = x rupees
so 5 pens = 5x/8 rupees  = 5/8 of total (note x rupees is total amt paid by Amal) i.e 5/8 = 500/8% = 62.5% is the answer

Q2. 2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas, and 1 apple costs Rs 10. What is the cost of 3 oranges, 3 bananas and 3 apples?

a) 10
b) 20
c) 30.45
d) 15

ANS: d

Explanation:

2x+3y+4z=15
3x+2y+z=10
5x+5y+5z=25
x + y + z = 5 that is for 1 orange,1 banana and 1 apple requires 5Rs.
so for 3 orange ,3 banana and 3 apple requires 15Rs.
i.e. 3x + 3y + 3z = 15

Q3. The total expense of a boarding house are partly fixed and partly variable with the number of boarders. The charge is Rs.70 per head when there are 25 boarders and Rs.60 when there are 50 boarders. Find the charge per head when there are 100 boarders.

a) 65
b) 55
c) 50
d) 45

ANS: b

Explanation:

a = fixed cost and
k = variable cost and n = number of boarders
total cost when 25 boarders c = 25*70 = 1750 i.e. 1750 = a + 25k
total cost when 50 boarders c = 50*60 = 3000 i.e. 3000 = a + 50k
solving above 2 eqns, 3000-1750 = 25k i.e. 1250 = 25k i.e. k = 50
therefore, substituting this value of k in either of above 2 eqns we get
a = 500 (a = 3000-50*50 = 500 or a = 1750 - 25*50 = 500)
so total cost when 100 boarders = c = a + 100k = 500 + 100*50 = 5500
so cost per head = 5500/100 = 55

Q4. If radius of cylinder is increased by 30% and height is decreased by 40% then what will % effect on volume of cylinder?

Q5. Two successive discounts are 20%, 40%, then its equivalent discount is?

Directions for questions 6 to 10:

Six persons A, B, C, D, E and F are sitting in two rows, three in each E is not at the end of any row.
D is second to the left of F.
C, the neighbour of E , is sitting diagonally opposite D.
B is the neighbour of F.

Q6. Which of the following are sitting diagonally opposite to each other?

(a) F and C
(b) D and A
(c) A and C
(d) A and F
(e) A and B

ANS: d

Q7. Who is facing B?

(a) A
(b) C
(c) D
(d) E
(e) F

ANS: d

Q8. Which of the following are in the same row?

(a) A and E
(b) E and D
(c) C and B
(d) A and B
(e) C and E

ANS: a

Q9. Which of the following are in the same row?

(a) FBC
(b) CEB
(c) DBF
(d) AEF
(e) ABF

ANS: c

Q10. After interchanging seat with F, who will be the neighbour of D in the new position?

(a) C and A
(b) E and B
(c) only B
(d) only A
(e) only C

ANS: a

Q11. Mohan is taller than Ram,
Mohan is taller than Sohan,
then what can be say about Ram & Sohan?

(a) Ram is taller than Sohan
(b) Sohan is taller than Ram
(c) cannot tell

ANS: c

Q12. There are 6 doctors p, q, r, s, t, u, v. They practice in a hospital, monday is close day, one doctor can visit the hospital every day 1 hour between 9 a.m. to 1 p.m, 1 p.m. to 2 p.m. is lunch and 2 p.m. 5 p.m. Saturday is half day so each doctor do their duty for 1/2 hours, r always do his duty after launch.
p always be the first doctor every day who do his duty.
q always be the last doctor every day who do his duty.
r is followed by w.

Five questions were asked from this Puzzle.

Q13. There is a notice board on the outside of an office on the notice board a statement is: read the notice board before enter into the room. Then

conclusion 1. People are literate
conclusion 2. Blind people cannot enter into the office

Q14. a, b and c are three cities in straight then what will be distance between a and b?

(a) if distance between a and c is 60 k.m.
(b) ratio of distance between a and b and b and c is 2:5

Q15. Age of Mohans sister is thrice of Mohans age then what will be sisters age if Mohans age is 4 year at present?

Q16.                 A

x   y
-------------  ---------------
B                                   C

D

Is line AD perpendicular to line BC?

(a) If x = y.
(b) AB = DC

Q17. Find out error in the following sentence:-

one of the men has:-

(a) /to teach them properly
(b) /because he is
(c) /the teacher in this school
(d) /no error

ANS: (d)

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