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Maruti Suzuki Placement Paper For Freshers Part-1

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marutiAptitude Questions

1. A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

A.  1 / 3
B.  1 / 4
C.  1 / 5               
D.  1 / 7

Ex:Suppose the vessel initially contains 8 litres of liquid. Let x littres of this liquid be replaced with water.
Quantity of water in new mixture = (3 – 3x/8 + x) litres.
Quantity of syrup in new mixture = (5 – 5x/8) litres.
(3 – 3x/8 + x) = (5 – 5x/8) = 5x + 24 = 40 – 5x
=› 10x = 16 =› x = 8/5
So, part of the mixture replaced = (8/5 x 1/8) = 1/5.

2. The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m.What is the area of the field?

A.  18750 sq.m
B.  37500 sq.m
C.  40000 sq.m
D.  48000 sq.m

Ex:So length =250 m;breadth=150 m
Area       = (250 x 150)m²
= 37500 m²

3. A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning?

A.  19
B.  29
C.  39    
D.  49

Ex:Let the average after 17th inning = x. Then, average after 16th inning = (x – 3)
Average=16 (x-3)+87
= 17x or x=(87-48)
= 39.

4. The banker’s discount on Rs. 1800 at 12% per annum is equal to the true discount on Rs.1872 for the same time at the same rate. Find the time?

A.  3 months
B.  4 months
C.  5 months
D.  6 months

EX:S.I on Rs.1800 = T.D on Rs.1872.
P.W on Rs.1872 is Rs.1800.
Rs.72 is S.I on Rs. 1800 at 12%.
Time      =(100×72 / 12×1800)
= 1/3 year
= 4 months.

5. A boat can travel with a speed of 13 km / hr in still water. If the speed of the stream is 4 km / hr. find the time taken by the boat to go 68 km downstream?

A.  2 hours
B.  3 hours
C.  4 hours          
D.  5 hours

Ex:Speed Downstream= (13 + 4) km/hr
= 17 km/hr.
Time taken to travel 68 km downstream  =(68 / 17)hrs
= 4 hrs.

6. An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?

A.   144°
B.   150°
C.   168°
D.   180°

Ex:Angle traced by hour hand in
5 hrs 10 min.       = (360/12 x 6)°
= 180°.

7. Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is

A.   Rs. 1550
B.  Rs. 1650
C.  Rs. 1750        
D.  Rs. 2000

Ex:C.I.   =Rs[4000x(1+10/100)²-4000]
Rs.(4000×11/10×11/10-4000)= Rs.940.
Sum=Rs. [420×100 /3×8]
= Rs.1750.

8. (7.5×7.5+3.75+2.5×2.5) is equal to

A.  30
B.  60
C.  80
D.  100

Ex:Given expression= (7.5×7.5+2×7.5×2.5+2.5×2.5)²
= (a²+2ab+b²)
=(a+b)²
= (7.5+2.5)²
= 10²
= 100.

9. The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree
A.   30°
B.   45°
C.  60°
D.  90°

EX:Let AB be the tree and AC be its shadow.
Then, < ABC= θ.
Then, AC/AB= √3
cotθ= √3
θ=30°

10. If log 2 = 0.30103, the number of digits in 520 is
A.  14
B.  16
C.  18
D.   25

Ex:Log 520=20 log 5
=20 ×[log(10/2)]
=20 (log 10 – log 2)
=20 (1 – 0.3010)
=20×0.6990
=13.9800.
Characteristics   = 13.
Hence, the number of digits in Log 520 is 14.

(136)

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