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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

**Directions (6-10): In the given questions, two quantities are given, one as Quantity I and another as Quantity II. You have to determine relationship between two quantities and choose the appropriate option.**

**Q6. A dice is thrown.If an even number comes, then a coin is tossed once but if an odd prime number comes, then two coins are tossed.**

**Quantity I:**Probability of getting exactly one head.

**Quantity II**: Probability of getting at least one tail.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Q7. Number of ways in which word ‘SOMETHING’ can be arranged.**

**Quantity I :**When all vowels comes together.

**Quantity II:**When all consonants comes together.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Q8. Manoj’s monthly salary is 25% more than Mohit’s salary. Mayank’s monthly salary is Rs 1750 more than Mohit’s monthly salary. Sum of Manoj’s, Mayank’s and Mohit’s yearly salary is Rs 3,33,000.**

**Quantity I:**Sum of monthly salary of Manoj and Mohit together

**Quantity II:**Rs. 20,000

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Q9. Quantity I: Profit share of ‘A’ out of total annual profit of Rs. 56,500. A, B and C enter into a partnership. ‘A’ invests Rs. 4000 for the whole year, ‘B’ puts in Rs. 6000 at the first and increasing to Rs. 8000 at the end of 4 months, whilst C puts in at first Rs. 8000 but withdraw Rs. 2000 at the end of 9 months.**

**Quantity II:**Amount which when lend on C.I. at 20% interest being compounded annually for 3 years, gives total interest equal to Rs.9100

(a) Quantity I > Quantity II

(b) Quantity I ≥ Quantity II

(c) Quantity I < Quantity II

(d) Quantity I = Quantity II or No relation

(e) Quantity I ≤ Quantity II

**Q10. 8 men and 4 women together can complete a piece of work in 6 days. Work done by a man in one day is double the work done by a woman in one day. 8 men and 4 women started working and after 2 days, 4 men left and 4 new women joined the work.**

**Quantity I:**More days required to complete the work

**Quantity II:**5 days

(a) Quantity I = Quantity II or No relation

(b) Quantity I ≥ Quantity II

(c) Quantity I < Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I > Quantity II

**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.(b)

S7. Ans.(a)

S8. Ans.(b)

S9. Ans.(c)

S10. Ans.(a)