Quantitative Aptitude

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55 Quantitative Aptitude Questions And Answers

4⟩ In a group of 15, 7 have studied Latin, 8 have studied Greek, and 3 have not studied either. How many of these studied both Latin and Greek?A. 0B. 3C. 4D. 5

L=7

G=8

Total number of students(U)=15

Number of students who study neither of them (N)=3

draw a simple diagram representing the above situation.

we need to find out L INTERSECTION G.

Thus we have,

L UNION G + N = 15

L UNION G = L + G - L INTERSECTION G = 7 + 8 - L INTERSECTION G

L INTERSECTION G= 7 + 8 +N-15

= 7+8+3-15

= 3

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5⟩ 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Find the size of the smallest set of people such that the rest have shaken hands with at least one person in the set?

For at least one person & for exactly one person =36/3

For at least two person & for exactly two person =36/2

so

ans is 36/3= 12

if question is asked lyk no "cycle" then n-1.

i.e.36-1

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9⟩ 194 base 10= ___ base 5The base 5 representation of the decimal number 2048 is______?

2048 to base 10:-

2 ["add" the next (first) digit]

2 * 10 = 20 [multiply by the base]

20 + 0 = 20 [add the next digit]

20 * 10 = 200 [multiply by the base]

200 + 4 = 204 [add the next digit]

204 * 10 = 2040 [multiply by the base]

2040+ 8 = 2048 [add the next digit]

??? to base 5:-

3

3* 5 = 15 [multiply by the base]

15+1 = 16 [add the next digit]

16* 5 = 80 [multiply by the base]

80+ 1 = 81 [add the next digit]

81* 5 = 405 [multiply by the base]

405+ 4 = 409 [add the next digit]

409*5 = 2045

2045+3 = 2048

since both the answers tally i.e., 2048==2048

hence the no. 31143 is the ans..

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10⟩ Two trees are there. One grows at 3/5 of the other in 4 years, total growth of trees is 8 ft. what growth will smaller tree will have in 2 years?

Answer should be 1.5 !!!

Let the trees be x,y

from question : -

eq1 is x = 3/5 (y)

eq2 after 4 yrs,

x+y = 8

from the 2 equations we get y = 5 and x = 3

according to our equation x= 3/5(y) -> x is the smaller tree.

In 4 yrs x grows 3ft

In 2 yrs x grows ?ft

Ans = 1.5ft.

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12⟩ A moves 3km. east from his starting point,he then travels 5km north,from that point he moves 8kms to the east. how far is A from his starting point?if a student scores GPA in his sem & year as given below then calculate his GPA for 3 year.sem 2.4,3.4yr 1.3,1.9bbgmpqbgskobgasbbgdefbgsti how many bs are followed by gs which are not followed by s in the above series?M(373,5)+r(3.4)+t(7.7)-r(5.8)=?t=truncation ,r=round-off

A-starting point

B-starting point of 5km walk

C-starting point of 8km walk

D-Final point

Now to find distance between A and D.

BCD makes a right-angle triangle... therefore,

DB=sqrt(64+25) ....... (pythagoras theorem)

DB=9.43

Now AD=AB+DB=3+9.43

Hence, AD=12.43 (Answer)

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13⟩ A work is done by two people in 24 min. one of them can do this work a lonely in 40 min. how much time required to do the same work for the second person?

let A does the work in 40 mins (given)

let B does the work in x mins

amt of work done by A in 1 min = 1/40

amt of work done by B in 1 min = 1/x

amt of work done jointly by both A & B = 1/24

which implies (1/40)+(1/x) = (1/24)

on solvin the above eqn. for x we get

x = 60

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