Quantitative Aptitude Quiz No. 2

Greetings to all members of GEA family, Quantitative Aptitude Quiz No. 2 has been uploaded with explanations for practice.
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Instruction:

Total questions : 10. Time alloted : 10 minutes. 1 mark for every correct answer. Negative marking of , 0.25 mark for every wrong question. Click on Start button below to start your quiz. Test will be submitted automatically if the time expired. Double Click on Get Result button to submit your answers and View Scorecard.

1. If the compound interest on a certain sum of money for 3 years at 10% p.a. be Rs. 993, what would be the simple interest ?

A.	Rs. 800	B.	Rs. 950
C.	Rs. 1000	D.	Rs. 900
E.	None of these

Answer

Answer: Option D
Explanation: Rs. 900
Let Principal = Rs. P
P(1+10/100)³-P=993
(11/10*11/10*11/10-1)P=993
(1331-1000/1000)P=993
P=993*1000/331=3000
S.I=3000*3*10/100=Rs. 900

2. In a class, 20 opted for Physics, 17 for Maths, 5 for both and 10 for other subjects. The class contains how many students ?

A.	35	B.	60
C.	42	D.	52
E.	None of these

Answer

Answer: Option C
Explanation 42
Opting only physics=15
Opting only Maths=12
Opting both=5
Opting Others=10
So Total Students=15+5+12+10=42

3. How much water must be added to 100 cc of 80% solution of boric acid to reduce it to a 50% solution ?

A.	60 cc	B.	20 cc
C.	40 cc	D.	80 cc
E.	None of these

Answer

Answer: Option A
Explanation: 60 cc
Concentration of boric acid = 80% = 80 cc
Quantity of water = 20 cc
Let x cc of water be added to get the concentration of 50%.
80/100+x=50/100
x=60 cc.

4. Successive discounts of 20% and 15% are equivalent to a single discount of ___________ ?

A.	17.5%	B.	32%
C.	22.5%	D.	35%
E.	None of these

Answer

Answer: Option B
Explanation: 32%
Successive discounts of 20% and 15% on Rs.100
yields to-> 100 × 0.8 × 0.85 = Rs. 68
So, Single discount = (100 - 68) = 32%

5. The dimensions of a rectangular room when increased by 4 metres are in the ratio of 4 : 3 and when decreased by 4 metres, are in the ratio of 2 : 1. The dimensions of the room are ___________ ?

A.	24 m and 16 m	B.	16 m and 12 m
C.	6 m and 4 m	D.	12 m and 8 m
E.	None of these

Answer

Answer: Option D
Explanation: 12 m and 8 m
Let the length and breadth of the rectangular room be l and b.
We have, l+4/b+4=4/3
3l+12=4b+16
3l-4b=4-----(i)
Again We have, l-4/b-4=2/1
l-2b=-4----(ii)
Solving (i) and (ii) we get, l=12, b=8.

6. Two cars start together in the same direction from the same place. The first goes with a uniform speed of 10 km/h. The second goes at a speed of 8 km/h in the first hour and increases its speed by 1/2 km with each succeeding hour. After how many hours will the second car overtake the first one, if both go non-stop ?

A.	5 hours	B.	7 hours
C.	8 hours	D.	9 hours
E.	None of these

Answer

Answer: Option D
Explanation: 9 hours

7. 24 men working 8 hours a day can finish a work in 10 days. Working at the rate of 10 hours a day, the number of men required to finish the same work in 6 days is ___________ ?

A.	30	B.	32
C.	36	D.	34
E.	None of these

Answer

Answer: Option B
Explanation: 32
m1*d1*t1*w2 = m2*d2*t2*w1
24*10*8*1=m2*6*10*1
m2=32men

8. The sum of digits of a two digit number is 15. If 9 be added to the number, then the digits are reversed. The number is ___________ ?

A.	87	B.	69
C.	78	D.	96.
E.	None of these

Answer

Answer: Option C
Explanation: 78
Let the two digit number be 10x + y
We have x + y = 15 ............(i)
and (10x + y) + 9 = (10y + x) or 9x – 9y = – 9
or x – y = – 1 ......... (ii)
From (i) and (ii) x = 7 and y = 8
The number is 10 × 7 + 8 = 78

9. Three cubes of a metal are of edges 3 cm, 4 cm and 5 cm. These are melted together and from the melted material, another cube is formed. The edge of this cube is : ?

A.	6 cm	B.	8 cm
C.	10 cm	D.	9 cm
E.	None of these

Answer

Answer: Option A
Explanation: 6 cm
Let edge of the new cube = x cm. Volume of the newly formed figure (cube) = sum of volume of smaller cubes. i.e. (x)³ = (3)³ + (4)³ + (5)³
27 + 64 + 125 = 216
x = 6 cm

10. Average age of 36 children of the class is 15 years. 12 more children joined whose average age is 16 years. What is the average age of all the 48 children together ?

A.	15.25 years	B.	15.5 years
C.	15.4 years	D.	15.3 years
E.	None of these

Answer

Answer: Option A
Explanation: 15.25 years
Required average age:- (15*36+12*16/36+12)Yrs. = 15.25 Yrs.

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