0
Q:

n is an integer chosen at random from the set

{5, 7, 9, 11 }

p is chosen at random from the set

{2, 6, 10, 14, 18}

What is the probability that n + p = 23 ?

A) 0.1 B) 0.2
C) 0.25 D) 0.3

Answer:   A) 0.1



Explanation:

Each of the integers in the first set could be combined with any from the second set, giving a total of 4 x 5 = 20 possible pairs.

Of these the combinations that could give a sum of 23 are (5 + 18), and (9 + 14)

This means that the probability of getting a sum of 23 is 2/20 = 1/10

Q:

If X+Y=3,XY=2, find the value of X3-Y3

A) 7 B) 3
C) 5 D) 9
 
Answer & Explanation Answer: A) 7

Explanation:
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0 731
Q:

What will come in place of the question mark (?) in the following number series?

17, 98, 26, 89, 35, ?

A) 80 B) 75
C) 67 D) 53
 
Answer & Explanation Answer: A) 80

Explanation:

1. Ans. A.
98 = 17 + 81
26 = 98 – 72
89 = 26 + 63
35 = 89 – 54
? = 35 + 45, i.e. ? = 80

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2 7205
Q:

The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is - 

A) 3:2 B) 2:3
C) 5:7 D) 7:5
 
Answer & Explanation Answer: B) 2:3

Explanation:

Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.

Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And,  height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.

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1 1211
Q:

Point Q(-1,b) is the midpoint of segment EF. Co-ordinates of point E are (-4,a) and point F are (2,0). What is the value of a and b?

A) a = 2; b = 1 B) a = -2; b = -1
C) a = -4; b = -8 D) a = 4; b = 8
 
Answer & Explanation Answer: B) a = -2; b = -1

Explanation:
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0 889
Q:

What value should come in place of question mark (?) in the following question?

442 + 232 = (?)2 + 44

A) 47 B) 65
C) 52 D) 41
 
Answer & Explanation Answer: A) 47

Explanation:

1936 + 529 = ?2 + 256 2465 = ?2 + 256 ?2 = 2465 - 256 ?2 = 2209 ?=47

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0 5011
Q:

What value should come in place of the question mark (?) in the following question?

68 x ? - 3421 = 591

A) 3249 B) 3481
C) 3364 D) 3136
 
Answer & Explanation Answer: B) 3481

Explanation:

68 x ? - 3421 = 591? = 4012/68? = 59 x 59? = 3481

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0 5962
Q:

What value should come in place of the question mark (?) in the following question?

?2% of 650 = 202 + 42

A) 8 B) 64
C) 8 D) 642
 
Answer & Explanation Answer: A) 8

Explanation:

?2=400+16650x100?= 8

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0 4330
Q:

What value should come in place of the question mark (?) in the following question?

52x14+145018=1998÷?

A) 18.25 B) 19.98
C) 34.58 D) 65.25
 
Answer & Explanation Answer: B) 19.98

Explanation:
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0 5095