# Quantitative Aptitude Quiz 2015 - Set 11 - Probability and Mixed Problems

Hello and welcome to ExamPundit. Here is a set of Quantitative Aptitude Quiz for Bank Exams 2015. The following set is based on Probability and Mixed Problems.

1. Rubina could get equal number of 55, 85 and 105 tickets for a movie. She spends 2,940 for all the tickets. How many of each did she buy ?
(a) 12
(b) 14
(c) 16
(d) Cannot be determined
(e) None of these

Solutions -Value of one ticket of each kind
= 55 + 85 + 105
= 245
Reqd. number of tickets of each kind
= 2940/245
= 12

2. Rahul’s monthly income is three times Ravina’s monthly income. Ravina’s monthly income is fifteen per cent more than Ruchira’s monthly income. Ruchira’s monthly income is 32,000. What is Rahul’s Annual income ?
(a) 1,10,400
(b) 13,24,800
(c) 36,800
(d) 52,200
(e) None of these

Solutions -Ravina’s monthly income
= 32000 ×115/100
= 36800
Rahul’s annual income
= 36800 × 3 × 12
= 1324800

3. In an Entrance Examination Ritu scored 56 per cent marks, Smita scored 92 per cent marks and Rina scored 634 marks. The maximum marks of the examination are 875. What are the average marks scored by all the three girls together?
(a) 1929
(b) 815
(c) 690
(d) 643
(e) None of these

Solutions -Marks scored by Ritu = 56/100 × 875
= 490
Marks scored by Smita = 92 × 875/100
= 805
Average marks scored by all the three together
=
490 + 805 + 634/3
= 1929/3
= 643

4. The respective ratio between the present age of Manisha and Deepika is 5 : X. Manisha is 9 years younger than Parineeta. Parineeta’s age after 9 years will be 33 years. The difference between Deepika’s and Manisha’s age is same as the present age of Parineeta. What will come in place of X ?
(a) 23
(b) 39
(c) 15
(d) Cannot be determined
(e) None of these

Solutions - Present age of Parineeta = 33 – 9
= 24 years
Present age of Manisha = 24 – 9
= 15 years
Present age of Deepali—15 = 24
Present age of Deepali = 24 + 15
= 39 years
5 : X = 15 : 39
X = 5 × 39/15
= 13

5. Sameera bought 20 pens, 8 packets of wax colours, 6 calculators and 7 pencil boxes. The price of one pen is 7, one packet of wax colour is 22, one calculator is 175 and one pencil box is 14 more than the combined price of one pen and one packet of wax colours. How much amount did Sameera pay to the shopkeeper ?
(a) 1,491
(b) 1,725
(c) 1,667
(d) 1,527
(e) None of these

Solutions - Cost of 1 pencil box
= 7 + 22 + 14
= 43
Reqd. amount paid
= 20 × 7 + 8 × 22 + 6 × 175 + 7 × 43
= 140 + 176 + 1050 + 301
= 1667

Directions—(Q. 6–10) Study the given information carefully to answer the questions that follow.
An urn contains 4 green, 5 blue, 2 red and 3 yellow marbles.

6. If four marbles are drawn at random, what is the probability that two are blue and two are red ?
(a) 10/1001
(b) 9/14
(c) 17/364
(d) 2/7
(e) None of these

Solutions -

7. If eight marbles are drawn at random, what is the probability that there are equal number of marbles of each colour ?
(a) 4/7
(b) 361/728
(c) 60/1001
(d) 1
(e) None of these

Solutions -

8. If two marbles are drawn at random, what is the probability that both are red or at least one is red ?
(a) 26/91
(b) 1/7
(c) 199/364
(d) 133/191
(e) None of these

Solutions -

9. If three marbles are drawn at random, what is the probability that at least one is yellow ?
(a) 1/3
(b) 199/364
(c) 165/364
(d) 3/11
(e) None of these

Solutions -

10. If three marbles are drawn at random, what is the probability that none is green ?
(a) 2/7
(b) 253/728
(c) 10/21
(d) 14/91
(e) None of these

Solutions -

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