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Q:

A train for Fathehpur leaves for every 2 hrs 30 min from Agra station. An announcement was made that train left 37 mins ago and next train comes at 17:00hrs. At what time was the announcement made ?

A) 15:07 hrs	B) 15:20 hrs
C) 15:05 hrs	D) 15:00 hrs

Answer & Explanation Answer: A) 15:07 hrs

Explanation:

Next train comes at 17:00 hrs.
So, last train will be = 17:00hrs - 2:30hrs
= 14:30hrs
Announcement made after 37 min of the last train.
S0, 14:30hrs + 00:37 min
= 15:07 hrs.

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Filed Under: Problems on Trains
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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Q:

Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water ?

A) 7 : 12	B) 8 : 13
C) 9 : 4	D) 2 : 5

Answer & Explanation Answer: B) 8 : 13

Explanation:

To get the solution that contains 1 part of milk and two parts of water,
they must be mixed in the ratio as
7x+6x/5y+11y = 1/2
26x = 16y
x/y = 16/26
x/y = 8/13

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

Q:

Rajeev works in the security section of a bank. Everybody in the company is either an IT person or a finance person or both. The assignment that rambo is currently working on has five people from finance and three people from IT,including him. Of the 26 finance people in his department, a total of 16 are in his section. Of the 18 IT people in his department, 10 are not in Rajeev section. There is nobody in Rajeev section who is both a finance person and an IT person. Fifteen people in his department do not belong to his section.

Questions :

1)How many IT people are there in Rajeev's department who are not a finance person and are not in Rajeev's section ?

A)1 B)3 C)5 D)8

2)what number finance people in Rajeev's department are not in his section?

A)26 B)10 C)21 D)16

Answer

Finance person in his department = 26
IT persons in his department = 18
Finance person in his section = 16
IT persons in his section = 8
Total in his section = 16+8 = 24
Total people in his depatment = 26+18 = 44
only 15 people in his dept are not in his sec
and 44-24 = 20
so 20-15 = 5 people belong to both finance and IT

Answer 1) is 'C'.

IT persons in his department = 18(total IT) - 8(section) - 5(both) = 5

Answer 2) is 'B'

Finance persons not in his section = 26 - 16 = 10

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Subject: Deriving Conclusions From Passages Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

Q:

Find the remainder when $6^{29}$ is divided by 5 ?

A) 0	B) 1
C) 3	D) 5

Answer & Explanation Answer: B) 1

Explanation:

All powers of 6 has 6 in units place so answer will definitely be 1.

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Filed Under: Numbers
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank Clerk

Q:

Two old friends, Jack and Bill, meet after a long time.

Jack: Hey, how are you man?
Bill: Not bad, got married and I have three kids now

Jack: That’s awesome. How old are they?
Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date.

Jack: Cool … But I still don’t know.
Bill : My eldest kid just started taking piano lessons.

Jack: Oh now I get it.
How old are Bill’s kids ?

A) 3, 3, 8	B) 2, 6, 6
C) 1, 6, 12	D) 1, 8, 9

Answer & Explanation Answer: A) 3, 3, 8

Explanation:

Let’s break it down. The product of their ages is 72. So what are the possible choices?

2, 2, 18 – sum(2, 2, 18) = 22
2, 4, 9 – sum(2, 4, 9) = 15
2, 6, 6 – sum(2, 6, 6) = 14
2, 3, 12 – sum(2, 3, 12) = 17
3, 4, 6 – sum(3, 4, 6) = 13
3, 3, 8 – sum(3, 3, 8 ) = 14
1, 8, 9 – sum(1,8,9) = 18
1, 3, 24 – sum(1, 3, 24) = 28
1, 4, 18 – sum(1, 4, 18) = 23
1, 2, 36 – sum(1, 2, 36) = 39
1, 6, 12 – sum(1, 6, 12) = 19

The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Jack was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now.

2, 6, 6 – sum(2, 6, 6) = 14
3, 3, 8 – sum(3, 3, 8 ) = 14

Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.

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Filed Under: Arithmetical Reasoning
Exam Prep: CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

Q:

Which is better investment : 11% stock at 143 (or) 9 3/4% stock at 117 ?

A) Both are equally good	B) 9 3/4% stock at 117
C) Cannot be compared, as the total amount of investment is not given	D) 11% stock at 143

Answer & Explanation Answer: B) 9 3/4% stock at 117

Explanation:

Let investment in each case be Rs. (143 x 117).

Income in 1st case = Rs. $\frac{11}{143}$ x 143 x 117 = Rs. 1287.
Income in 2nd case = Rs. $\frac{39}{4 \times 117}$ x 143 x 117= Rs. 1394.25

Clearly, 9 3/4% stock at 117 is better.

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Filed Under: Stocks and Shares
Exam Prep: CAT , Bank Exams , AIEEE
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Q:

Consider the following statements

P : Suman is brilliant
Q : Suman is rich
R : Suman is honest

The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as

1) $(P \land ~ R) \leftrightarrow Q$

2) $~ (P \land R) \leftrightarrow Q$

3) $Q \leftrightarrow (P \land ~ R)$

4) $~ (Q \leftrightarrow (P \land ~ R))$

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: D) 4

Explanation:

Suman is brilliant and dishonest is P $\land$ ~ R
Suman is brilliant and dishonest iff suman is rich is
Q $\leftrightarrow$ (P $\land$ ~ R)

Negative of statement is expressed as
~ (Q $\leftrightarrow$ (P $\land$ ~ R)).

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Filed Under: Arithmetical Reasoning
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank Clerk

Q:

Statement: If the retired professors of the same institutes are also invited to deliberate on restructuring of the organization, their contribution may be beneficial to the institute.

Course of action:
a) Management may seek option of the employees before calling retired professors.
b) Management should involve experienced people for the systematic restructuring of the organization.

A) Only a follows	B) Neither a nor b follows
C) Both a & b follows	D) Only b follows

Answer & Explanation Answer: D) Only b follows

Explanation:

Valuable suggestion from the retired professors will be helpful for restructuring of an organisation. Hence, management should involve such experienced people. Seeking permission from the employees is not the right course of action.

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Filed Under: Statement and Courses of Action
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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