# Sample Practice Question Set (Problem Solving)

10 Questions | Total Attempts: 290  Settings  • 1.
If a triangle is made of wire with 6 meter and 11 meter as its two sides. If the wire is rearranged into a circle, what will be the radius of the largest circle which can be formed from the triangle?
• A.

119/44 meter

• B.

189/44 meter

• C.

29/4 meter

• D.

31/4 meter

• E.

21/4 meter

• 2.
A car requires 4/5 hour of service time every month. But after overhauling, the service time becomes 4/5 hour every one and half month. What fraction of service time is saved after overhauling?
• A.

1/4

• B.

1/3

• C.

1/2

• D.

2/5

• E.

3/5

• 3.
Find the last digit of the expression  (4526)4 – (4525)3 ?
• A.

3

• B.

2

• C.

1

• D.

4

• E.

7

• 4.
If m & n are odd integers, which of the following can not be an integer?
• A.

(3m + 7n) / 3

• B.

Mn / 5

• C.

(m + 2) / (n + 1)

• D.

(2m + 6n) / 4

• E.

(m + 3) / (n + 7)

• 5.
In the figure, the lined portion is 1/3rd of triangle ABC and is 45% of triangle PQR. Near to which of the following percent is the lined portion of the whole figure?
• A.

15%

• B.

38%

• C.

24%

• D.

30%

• E.

18%

• 6.
If in x liters of mixture of A & B, the ratio of A and B is m : n. What quantity of A should be added to the mixture so that the ratio of A and B becomes p : q?
• A.

(pm – qn)/(m + n)

• B.

X(pn – qm)/q(m + n)

• C.

Q(m + n)/(pn – qm)

• D.

Q(m + n)/(pm – qn)

• E.

(pn – qm)/(m + n)

• 7.
An auditorium has 3 entrances. 3 men have to get into the auditorium. What is the probability that all 3 men will enter from different entrances?
• A.

1/2

• B.

1/9

• C.

1/3

• D.

2/3

• E.

2/9

• 8.
Incomes of A and B are in the ratio x : y and their expenditure are in the ratio of w : z. If both save equal amount of \$M each, what will be the income of A?
• A.

M (xz – wy)/(z – w))

• B.

M xy/(w + z)

• C.

M xy/(xz – wy)

• D.

M (x + y)/(xz – wy)

• E.

M x (z – w)/(xz – wy)

• 9.
A train starts a journey from a station with all seats occupied. At the next station, 1/4 of the passengers get down while 150 new passengers are added. At third station, 1/3 are of the remaining passengers are dropped and new 48 passengers are added. At fourth and final station, 528 passengers get down and train becomes empty. What is the total number of seats in the train?
• A.

720

• B.

570

• C.

670

• D.

560

• E.

760

• 10.
The areas of three adjacent faces of a cuboid are A, B &C. What is the volume of the cuboid?
• A.

(ABC)^3

• B.

Cube root(ABC)

• C.

(ABC)^2

• D.

ABC

• E.

Sqrt (ABC)

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