Bank PO Questions and Answers with Explanation, Job Roles

Q:

At 3.40, the hour hand and the minute hand of a clock form an angle of:

A) 110	B) 120
C) 130	D) 140

Answer & Explanation Answer: C) 130

Explanation:

Angle traced by hour hand in 12 hrs. = 360º.

Angle traced by it in $\frac{11}{3}$ hrs = ${(\frac{360}{12} \times \frac{11}{3})}^{0}$ = $110^{0}$

Angle traced by minute hand in 60 min. = $360^{0}$

Angle traced by it in 40 min = ${(\frac{360}{60} \times 40)}^{0}$ = $240^{0}$

$\therefore$ Required angle (240 - 110)º = $130^{0}$

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

16 10660

Q:

Two trains of equal length are running on parallel lines in the same direction at 36 km/hr and 26 km/hr. The faster train passes the slower train in 36 sec. The length of each train is ?

A) 28 mts	B) 54 mts
C) 24 mts	D) 50 mts

Answer & Explanation Answer: D) 50 mts

Explanation:

Let the length of each train be x mts.

Then, distance covered = 2x mts.

Relative speed = 36 - 26 = 10 km/hr.

= 10 x 5/18 = 25/9 m/sec.

2x/36 = 25/9 => x = 50 mts.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

8 10652

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

23 10645

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

10 10637

Q:

Which is the smallest district of India by size ?

A) Mahe	B) Zila
C) Kaushambi	D) None

Answer & Explanation Answer: A) Mahe

Explanation:

Mahe is the smallest district of India in size which is in Puducherry.

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Filed Under: Indian Geography
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

24 10636

Q:

A cuboid of dimension 24cm x 9cm x 8 cm is melted and smaller cubers are of side 3 cm is formed.find how many such cubes can be formed ?

A) 64	B) 56
C) 48	D) 40

Answer & Explanation Answer: A) 64

Explanation:

Volume of cuboid = (24 x 9 x 8) cm = 1728 cu.cm
Volume of small cube = (3 x 3 x 3) cm = 27 cu.cm

So, No. of small cubes formed = 1728/27 = 64.

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Filed Under: Volume and Surface Area
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

5 10634

Q:

In how many ways can 100 soldiers be divided into 4 squads of 10, 20, 30, 40 respectively?

A) 1700	B) 18!
C) 190	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

$100 C_{10} + 90 C_{20} + 70 C_{30} + 40 C_{40} = \frac{100!}{10! x 20! x 30! x 40!}$

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

4 10620

Q:

What is needed for steering control on a PWC?

Answer

PWC refers to Personal Water Crafts.

To control steering on a PWC, the most needed requirement is to have power in which will allows the one using it to control the engine for it to stop or for it to move. Without power, the person using it could be out of balance or fail to start the engine. This is the basic requirement because even though it is shut off or the engine is off, the PWC is still on and it could still move without proper knowledge of the engine.

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Subject: Physics Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

3 10617

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