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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.
