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aptitute test

Three friends divided some bullets equally. After all of them shot 4 bullets the total number of
bullets remaining is equal to the bullets each had after division. Find the original number divided.
Ans: 18 (2 marks)

Initially . x x x
Now x-4 x-4 x-4
Equation is 3x-12 = x

Which of the following is least like the others?
A. cube
B. sphere
C. pyramid
D. circle


Anwser:
D (because the circle is the only two-dimensional figure)

Susan can type 10 pages in 5 minutes. Mary can type 5 pages in 10 minutes. Working together, how many pages can they
type in 30 minutes?
A. 15
B. 20
C. 25
D. 65
E. 75


Answer:
E (30/5=6; 6*10=60; Susan will type 60 pages in 30 min. 30/10=3; 5*3=15; Mary will type 15 pages in 30 min. 60+15=75)

Consider the following series:
3, 4, 6, 9, 13, ____ What comes next?
A. 15
B. 16
C. 17
D. 18
E. 19

Answer:
D (3+1=4; 4+2=6; 6+3=9; 9+4=13; 13+5=18)

1. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs
to reach the target of 282 runs?
A. 6.25 B. 5.5
C. 7.4 D. 5

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Answer : Option A
Explanation :
Runs scored in the first 10 overs = 10×3.2=32

Total runs = 282

remaining runs to be scored = 282 - 32 = 250

remaining overs = 40

Run rate needed = 25040=6.25

2. A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must
he have in the sixth month so that he gets an average sale of Rs. 6500?
A. 4800 B. 4991
C. 5004 D. 5000

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Answer : Option B
Explanation :
Let the sale in the sixth month = x

Then 6435+6927+6855+7230+6562+x6=6500

=> 6435 + 6927 + 6855+ 7230 + 6562 + x = 6 × 6500 = 39000

=> 34009 + x = 39000

=> x = 39000 - 34009 = 4991

5. The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average
monthly income of A and C is Rs. 5200. What is the monthly income of A?
A. 2000 B. 3000
C. 4000 D. 5000

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Answer : Option C
Explanation :
Let the monthly income of A = a

monthly income of B = b

monthly income of C = a

a+b=2×5050?????????(Equation1)b+c=2×6250?????????(Equation2)a+c=2×5200???
??????(Equation3)

(Equation 1) + (Equation 3) - (Equation 2)

=>a+b+a+c?(b+c)=(2×5050)+(2×5200)?(2×6250)

=> 2a = 2(5050 + 5200 - 6250)

=> a = 4000

=> Monthly income of A = 4000

Which of the following is a prime number ?
A. 9 B. 8
C. 4 D. 2

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Answer : Option D
Explanation :
2 is a prime number


A prime number is a natural number greater than 1 which has no positive divisors

other than 1 and itself.

Hence the primer numbers are 2,3,5,7,11,13,17,...

5216 x 51 = ?
A. 266016 B. 212016
C. 266436 D. 216314
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Answer : Option A
Explanation :
Normal way of multiplication may take time. Here are one alternative.

5216 x 51 = (5216 x 50) + 5216 = (5216 x
100
/
2
) + 5216

=
521600
/
2
+ 5216 = 260800 + 5216 = 266016

Find the missing number. 1, 4, 9, 16, 25, 36, 49, (....)
A. 64 B. 54
C. 56 D. 81
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Answer : Option A
Explanation :
The series is 1
2
, 2
2
, 3
2
, 4
2
, 5
2
, 6
2
, 7
2
, ...

Hence, next term = 8
2
= 64

6. A man has some hens and cows. If the number of heads be 48 and the
number of feet equals 140, then the number of hens will be
A. 22 B. 24
C. 26 D. 20
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Answer : Option C
Explanation :
Let number of hens = h and number of cows = c

number of heads = 48
=> h + c = 48 ---(Equation 1)

number of feet = 140
=> 2h + 4c = 140
=> h + 2c = 70 ---(Equation 2)

(Equation 2) - (Equation 1) gives
2c - c = 70 - 48
=> c = 22

Substituting the value of c in Equation 1, we get
h + 22 = 48
=> h = 48 - 22 = 26

i.e., number of hens = 26






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