Bank PO Questions and Answers with Explanation, Job Roles

Q:

A boat travels 72 km downstream in 8 hours and 84 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current ?

A) 9 and 3 kmph	B) 6 and 7 kmph
C) 8 and 1 kmph	D) 7 and 2 kmph

Answer & Explanation Answer: C) 8 and 1 kmph

Explanation:

Downstream speed = 72km/8hrs = 9 kmph
upstream speed = 84km/12hrs = 7 kmph
speed of boat = avg of downstream and upstream speeds
speed of boat = (9+7)/2kmph = 8 kmph.
current speed = half of the difference of downstream and upstream speeds
currend speed = (9-7)/2kmph = 1 kmph

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank PO

19 8090

Q:

Crack this Logical thinking Math Puzzle?

logic_puzzle1533711581.jpg image

A) 9	B) 8
C) 7	D) 6

Answer & Explanation Answer: B) 8

Explanation:

Here by observing the figure,

we can complete the above incomplete cube with 2 cubes in 2 rows and 2 columns

=> 2 x 4 = 8.

Hence, with 8 small cubes we can complete the cube.

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Filed Under: Math Puzzles
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

26 8088

Q:

If y/(x - z) = (y + x)/z = x/y then find z : y : x ?

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

Answer & Explanation Answer: B) 3:2:4

Explanation:

Given, y/(x - z) = (y + x)/z = x/y
$y z = x y + x^{2} - y z - x z . . . . (1)$
Also $\frac{x}{y} = \frac{y}{x - z}$ $\Rightarrow x^{2} - x z = y^{2} . . . . (2)$
Using (1) and (2), we get yz = xy - yz + $y^{2}$
2yz = xy + $y^{2}$
2z = x + y
Only option (B) satisfies the equation.

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

18 8082

Q:

Bhim has assembled a basket of fruit as a holiday gift for each of his friends- Santosh, Tarun, Ujjwal, and Varun. A total of fifteen pieces of fruits-five apples, five oranges and five pears are distributed among the four baskets according to the following conditions: Santosh , Tarun and Ujjwal will each receive exactly two different types of fruit. Varun will receive only apples. Tarun will receive more pieces of fruit than Santosh. Each basket includes at least three pieces of fruit.

1. If Varun’s basket contains more pieces of fruit than Tarun’s basket, then Tarun’s basket must contain:
I. Four pieces of fruit.
II. At least one orange.
III. At least one pear.

(a) I only (b) III only (c) Botha I and II (d) Both II and III

2. If Ujjwal’s basket contains more pieces of fruit than Tarun’s basket, all of the following must be false EXCEPT:

(a) Only Varun will receive apple

(b) Varun will receive exactly four apple.

(c) Ujjwal will receive exactly two apple.

(d) Tarun will receive exactly four pear.

Answer

1. Answer (b)

Santosh , Ujjwal and Varun must each receive at least three pieces, but Tarun must receive at least four pieces. The maximum number of pieces that any person may receive is six ( 6 + 3+ 3+3 = 15 ), and only Tarun may receive six pieces. Ujjwal and Varun each may receive as many as five pieces, while Santosh may receive only four pieces at maximum.
At least one pear.

2. Answer (c)

Varun may receive no more than five pieces and Tarun may receive no fewer than four pieces. As a result, if Varun receives more pieces than Tarun, then Varun must receive five pieces, and Tarun must receive four pieces. Thus, statement (a) must be true. Since Varun will receive five pieces, none of the other three friends will receive any apple, accordingly, each of the other three friends must receive at least one orange and at least one pear. Thus, statement (b) and (d) must be true.

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Subject: Deriving Conclusions From Passages Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

9 8073

Q:

H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is :

A) 360	B) 180
C) 90	D) 120

Answer & Explanation Answer: B) 180

Explanation:

4 x 27 x 3125 = $2^{2} \times 3^{3} \times 5^{5}$ ;

8 x 9 x 25 x 7 = $2^{3} \times 3^{2} \times 5^{2} \times 7$

16 x 81 x 5 x 11 x 49 = $2^{4} \times 3^{4} \times 5 \times 11 \times 7^{2}$

H.C.F = $2^{2} \times 3^{2} \times 5$ = 180.

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Filed Under: HCF and LCM
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

22 8072

Q:

17 tens in unit form?

A) One 1 Seven 7 Ten 10	B) One 1 Seven 10 0 ones
C) 1 hundred, 7 tens, 0 ones	D) 1 ten and 7 ones

Answer & Explanation Answer: C) 1 hundred, 7 tens, 0 ones

Explanation:

Firstly 17 tens = 17 x 10 = 170

17 tens = 170 in unit form can be written as 1 hundred, 7 tens, 0 ones.

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Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT
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16 8067

Q:

The value of x satisfying the following relation:

$\log_{\frac{1}{2}} (x) = \log_{2} (3 x - 2)$

A) 1/3	B) -1/3
C) 3	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

But at x=-1/3, log x is not defined.

The only admissible value of x is 1.

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT
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16 8067

Q:

France joined the Triple Entente because

A) it needed protection from Germany	B) its leaders wanted to take over land in the Balkans
C) its leaders wanted to protect French colonies in Africa	D) it had a long history of friendship with Great Britain

Answer & Explanation Answer: A) it needed protection from Germany

Explanation:

France joined the Triple Entente because it needed protection from Germany.

France felt very heavily the aggression from Germany (a country which it shared a border with), especially over the tension Alsace and Lorraine and the constant switching over of these two counties.

It was also worried about the rapid military advancement in Germany and France wanted to ally itself with Russia and Great Britain.

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Filed Under: World History
Exam Prep: Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

4 8065

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