Total Questions-16Capgemini Aptitude Questions -Syllabus
| Profit & loss | 2 or 3 | Medium |
| Ratio & proportion | 1 or 2 | Easy |
| Averages | 2 or 3 | Easy |
| Geometry | 1 or 2 | Medium |
| Data Interpretation | 2 or 3 | Easy - Difficult |
| Time, Speed and Distance | 3 or 4 | Easy - Difficult |
| Algebra | 1 or 2 | Easy |
| progression | 1 or 2 | Medium |
Questions-
1. Ramesh lends Rs 50,000 of two of his friends. He gives Rs 30,000 to the first at 6% p.a. simple interest. He wants to make a profit of 10% on the whole. The simple interest rate at which he should lend the remaining sum of money to the second friend is
Solution – 16%
Explanation:
S.I. on Rs 30000
=(30000×6×1)/100
= Rs. 1800
Profit to be made on Rs 50000 = 50000×10/100=Rs 5000
--> S.I.on Rs.20000 = 5000-1800 = Rs.3200
--> Rate=(S.I.* 100)/(P * T) = (3200×100)/20000
=16% per annum
2) If 60 ml of water contains 12% of chlorine, how much water must be added in order to create a 8% chlorine solution?
(a) 10ml (b) 35ml (c) 20ml (d) 30ml
Ans: 30ml
Explanation
Let x ml of chlorine be present in water.
Then, 12/100 = x/60 ? x = 7.2 ml
Therefore, 7.2 ml is present in 60 ml of water.
In order for this 7.2 ml to constitute 8% of the solution, we need to add extra water. Let this be y ml, then 8/100 of y = 7.2ml ? y = 90 ml.
So in order to get 8% chlorine solution, we need to add 90-60 = 30 ml of water.
3) If a : b = 7 : 5 and c : d = 2a : 3b, then ac : bd is :
(a) 14:15 (b) 50:147 (c) 98:75 (d) 15:14
Ans: 98:75
Explanation
Since a and b are in the ratio 7:5. Then, let a = 7x and b = 5x.
c = 2a = 2 * 7x = 14x and d = 3b = 3 * 5x = 15x.
c : d = 14 : 15 ac : bd = 14 * 7 : 15 * 5 = 98 : 75
4) Simplify:
(469 + 174)2- (469 - 174)2= ?(469 x 174)
(a) 2 (b) 4 (c) 295 (d) 643
Ans: 4
Explanation:
Given expression (a + b)2- (a - b)2/ ab
= 4ab / ab
= 4 (where a = 469, b = 174)
5) The price of 2 sarees and 4 shirts is Rs. 1600. With the same money
one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?
(a) Rs. 1200 (b) Rs. 2400 (c) Rs. 4800 (d) None
Ans: Rs. 2400
Explanation
Let the price of a saree and a shirt be Rs. x and Rs. y respectively.
Then, 2x + 4y = 1600 .... (i) and x + 6y = 1600 .... (ii).
Divide equation (i) by 2, we get the below equation.
=> x + 2y = 800. --- (iii)
Now subtract (iii) from (ii)
x + 6y = 1600 (-)
x + 2y = 800
---------------------
4y = 800
---------------------
Therefore, y = 200.
Now apply value of y in (iii)
=> x + 2 x 200 = 800
=> x + 400 = 800
Therefore x = 400
Solving (i) and (ii) we get x = 400, y = 200.
Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.
6) A motorboat can travel at 5 km/hr in still water. It travelled 90 km downstream in a river
and then returned, taking altogether 100 hours. Find the rate of flow of the river.
(a) 3 kmph (b) 3.5 kmph (c) 2 kmph (d) 4 kmph
Ans: 4 kmph
Explanation:
Speed of boat in still water = x = 5 km/hr.
Let rate of flow of river = y km/hr.
Therefore, speed of u/s = 5- y and speed of d / s = 5 + y
Hence, 90/(5+y) + 90/(5-y) = 100 ? y = 4 km/hr.
7.The sum of the third and ninth term of an A.P is 8.
Find the sum of the first 11 terms of the progression.
Explanation:
--> The third term t3 = a + 3d
--> The ninth term t9 = a + 8d
--> t3 + t9 = 2a + 10d = 8
Sum of first 11 terms of an AP is given by
=11/2(2a+10d)
=11/2(8)
=88/2
=44
8.x and y are 2 numbers which when divided by 6 leave a remainder of 4 and 5 respectively.
what will be the remainder when y+x is divided by 6?
Explanation:
x/6=4
28/6=4
x=28
when 28 is divided by 4 it leaves remainder 4
similarly
y/6=5
35/6=5
y=35
(28+35)/6=63/6=3
9. If the average of five students ages is 14. what will the average age of these students after 5 years?
Explanation:
Total age = 14* 5 = 70
age of 5 student after 5 yrs = 70 + (5*5) = 95
Avg = 95/ 5 = 19
10. The sides of the triangle are in the ratio 1/2:1/3:1/5 and Its perimeter is 155 cm,
what is the difference between the largest sides?
Explanation:
Ratio of sides 1/2 : 1/3 : 1/5 =15 : 10 : 6
Given perimeter=155 cm , so if sides are 15x, 10x & 6x, then 15x+10x+6x =155 ,x=5
So side are 15*5=75 ,10*5=50 & 6*5=30 cm and
Difference between largest & smallest side=75 -30= 45 cm
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