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Q:

If $a^{2} = 12, t h e n a^{4} = ?$

A) 144	B) 72
C) 36	D) 24

Answer & Explanation Answer: A) 144

Explanation:

Given a x a = 12

asked to find a x a x a x a = (a x a) x (a x a)

a⁴ = a² x a²

= 12 x 12

= 144.

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Filed Under: Numbers
Exam Prep: Bank Exams , AIEEE , CAT , GATE
Job Role: Bank Clerk , Analyst , Bank PO , IT Trainer

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

Q:

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

A) 0	B) 10
C) 30	D) 60

Answer & Explanation Answer: B) 10

Explanation:

Angle traced by hour hand in $\frac{13}{3}$ hrs = ${(\frac{360}{12} \times \frac{13}{3})}^{0}$ = $130^{0}$

Angle traced by min. hand in 20 min = ${(\frac{360}{60} \times 20)}^{0}$ = $120^{0}$

Required angle = (130 - 120)º = 10º

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

Q:

If the ratio of two squares is 225:256,then the ratio of the perimeters is

A) 25:16	B) 15:16
C) 16:15	D) 17:16

Answer & Explanation Answer: B) 15:16

Explanation:

$\frac{a^{2}}{b^{2}} = 225 / 256$

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

Q:

If the length of the diagonal of a square is 20cm,then its perimeter must be

a. $40 \sqrt{2}$ cm b. $30 \sqrt{2}$ cm c. 10cm d. 15 $\sqrt{2}$ cm

A) a	B) b
C) c	D) d

Answer & Explanation Answer: A) a

Explanation:

We know that d=√2s

Given diagonal = 20 cm

=> s = 20/ $\sqrt{2}$ cm

Therefore, perimeter of the square is 4s = 4 x 20/ $\sqrt{2}$ = 40 $\sqrt{2}$ cm.

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

Q:

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

A) 4pm	B) 5pm
C) 6pm	D) 7pm

Answer & Explanation Answer: A) 4pm

Explanation:

Time from 7 am to 4.15 pm = 9 hrs 15 min = $\frac{37}{4}$ hrs

3 min. 5 sec. of this clock = 3 min. of the correct clock.

Now 3min.5sec. is $\frac{37}{720}$ hrs of this clock = 3 min.is $\frac{1}{20}$ hrs of the correct clock

$\frac{37}{4}$ hrs of clock = $(\frac{1}{20} \times \frac{720}{37} \times \frac{37}{4})$ hrs of the correct clock.

= 9 hrs of the correct clock.

$\therefore$ The correct time is 9 hrs after 7 am. i.e., 4 pm.

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

Q:

Retired persons should not be appointed for the posts in organisations

Assumptions:

1. Retried persons may lack zeal and commitment to carry out executive's work

2. Retried persons do not take intrest in the work and welfare of new organisations

A) Only 1 is true	B) Only 2 is true
C) Either 1 or 2 is true	D) Neither 1 or 2 is true

Answer & Explanation Answer: D) Neither 1 or 2 is true

Explanation:

Since both 1 and 2 does not follow from the statement,so neither of them is implicit

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Filed Under: Statement and Assumptions
Exam Prep: GRE

Q:

If you are an engineer ,we have a challenging job for you

Assumptions:

1. We need an engineer

2. You are an engineer

A) Only 1 is true	B) Only 2 is true
C) Either 1 or 2 is true	D) Neither 1 or 2 is true

Answer & Explanation Answer: A) Only 1 is true

Explanation:

Clearly job is is offered to an engineer.This means that he is needed.So,1 is true.The word "If" in the statement 2 makes it false

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Filed Under: Statement and Assumptions
Exam Prep: GRE

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