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Q1. There are 5 multiple choice questions in
an examination. How many sequences of answers are possible, if the first three
questions have 4 choices each and the next two have 6 choices each?

(a) 2804

(b) 3456

(c) 7776

(d) 2304

(e) 1024

Q2. How many 4 digits number
can be formed using 2, 3, 5, 7, 6 and 9 if the number should be divisible by
‘4’ and repetition is not allowed?

(a) 120

(b) 96

(c) 160

(d) 64

(e) 296

Q3. How many four-digit numbers
can be formed from digits 0, 2, 4, 6, 5, 1 such that each number is divisible
by 5 and no repetition is allowed?

(a) 48

(b) 108

(c) 60

(d) 100

(e) 90

Q4. A box contains 30 eggs out
of which 6 are rotten. Two eggs are chosen at random. What is the probability
that only one of the chosen eggs is rotten ?

(a) 53/145

(b) 63/145

(c) 51/145

(d) 57/145

(e) 48/145

Q5. Arun and Veer go for an interview for two
different vacancies. The probability of selection of Arun is 2/5 whereas the
probability of the selection of Veer is 3/4. What is the probability that only
one of them is selected?

(a) 9/20

(b) 7/20

(c) 11/20

(d) 13/20

(e) None of these

**Direction (6 – 10):**Find the wrong number in the following number series.

**Q6. 224, 118, 184, 468, 1648, 7421.5**

(a) 224

(b) 118

(c) 1648

(d) 468

(e) 184

**Q7. 4498, 4888, 5336, 5846, 6422, 7070**

(a) 5846

(b) 4498

(c) 5336

(d) 7070

(e) 6422

**Q8. 122, 125.2, 131.6, 141.2, 152, 170**

(a) 125.2

(b) 131.6

(c) 170

(d) 170

(e) 152

**Q9. 140, 160, 182, 206, 234, 260**

(a) 140

(b) 234

(c) 182

(d) 206

(e) 260

**Q10. 3671, 2341, 4537, 1163, 6072, -783**

(a) 6072

(b) 2341

(c) -783

(d) 3671

(e) 1163

**Solutions**

S1. Ans.(d)

Sol.

Places: - - - - -

Digits: 4 4 4 6 6

Total number of sequences = 4 ×
4 × 4 × 6 × 6 = 2304.

S2. Ans.(b)

Sol.

The number which should be
divisible by 4 will end with 32, 52, 72, 92, 36, 56, 76 and 96 (Total 8 ways)

Starting two numbers can be
chosen in 4 × 3 = 12 ways

Total no. of ways = 12 × 8 = 96
ways

S3. Ans. (b)

S4. Ans.(e)

S5. Ans.(c)

S6. Ans.(c)

Sol.

S7. Ans.(d)

Sol.

S8. Ans.(e)

Sol.

S9. Ans.(b)

Sol.

S10. Ans.(a)

Sol.