**PSAT Sample Questions Online :**

Here we are going to see some sample questions for PSAT exams. For each and every questions, you will have solutions with step by step explanation.

**Question 11 :**

√100 √64

**Solution :**

√100 √64 = √(10 ⋅ 10) √(8 ⋅ 8)

= 10 (8)

= 80

Hence the answer is 80.

**Question 12 :**

7.2 aliens = 1 monster

1 monster = 15.5 oranges

Using the conversion above, how many oranges are equal to 1 alien ?

**Solution :**

1 monster = 7.2 aliens ----(1)

1 monster = 15.5 oranges ----(2)

(1) = (2)

7.2 aliens = 15.5 oranges

1 alien = 15.5/7.2

= 2.15

Hence the answer is 2.15

**Question 13 :**

What is the greatest common factor of 147 and 98 ?

**Solution :**

There is no common divisor for 49 and 66. Hence the greatest common factor is 3.

**Question 14 :**

If x = 7 and y = 0, what is the value of 11x/x-y?

**Solution :**

11x/x-y = 11(7) / 7 - 0 ==> 77/7 ==> 11

Hence the answer is 11.

**Question 15 :**

Heiga has 4 dogs, 3 cats and 2 birds. If she closes her eyes and picks one animal. What is the probability that it does not have 4 legs ?

**Solution :**

Sample space = Total number of animals

= 3 + 4 + 2

n(S) = 9

Dogs and cats have 4 legs, and birds has 2 legs.

Number of animals do not have 4 legs = 2

n(A) = 2

P(A) = n(A)/n(S)

P(A) = 2/9

Hence the required probability is 2/9.

**Question 16 :**

If y = x^{2}⋅x^{x}, what is y when x = 2 ?

**Solution :**

y = x^{2}⋅x^{x}

y = 2^{2}⋅ 2^{2}

y = 16

Hence the answer is 16.

**Question 17 :**

Train A, travelling at 200 mph, leaves station A at 1 P.M train B travelling at 300 mph, leaves station B at 3 P.M. Both stations are directly across each other and X miles away. If the trains meet at 4 P.M, What is X?

**Solution :**

From the given information, we know that both trains meet at 4 P.M.

Train A traveled for 3 hours at the speed of 200 mph

Train A traveled for 1 hour at the speed of 300 mph

= 600 miles + 300 miles

= 900 miles

Hence both trains will meet each other apart 900 miles.

**Question 18 :**

Bernard is now y years old. Luis is 8 years older that Bernard. In terms of y, how old was Luis 5 years ago?

**Solution :**

Age of Bernard = y

Age of Luis = y + 8

5 years ago Luis age = y + 8 - 5

= y + 3

Question 19 :

In a figure above, ABC, DBE, EFG and CFH are straight line segments. What is the value of x ?

**Solution : **

In a quadrilateral BEFC,

<GFH = <EFC = 65 (Vertically opposite angles)

<CBE + <BEF + <EFC + <FCB = 360

<CBE + 110 + <EFC + 110 = 360

<CBE + 220 + 65 = 360

<CBE = 360 - 285

<CBE = 75

x = <CBE = 75 (Vertically opposite angles)

**Question 20 :**

Which of the following shows the fraction 13/3, 37/8 and 19/4 in order from greatest to least ?

**Solution :**

In order to arrange the fractions from greatest to least, first let us change the denominator same. For that, we have to find L.C.M of 3, 8 and 4.

L.C.M = 24

(13/3) ⋅ (8/8) = 104/24 -----(1)

(37/8) ⋅ (3/3) = 111/24 -----(2)

(19/4) ⋅ (6/6) = 114/24 -----(3)

19/4 > 37/8 > 13/3

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