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Q:

A bus for Shiridi leaves after every fifty two minutes from a bus stand. An enquiry officer told a passenger that the bus had already left sixteen minutes ago and the next bus will leave at 08:15 p.m. At what time did the enquiry officer give the information to the passenger?

A) 07:23 p.m	B) 06:25 p.m
C) 07:39 p.m	D) 06:23 p.m

Answer & Explanation Answer: C) 07:39 p.m

Explanation:

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Filed Under: Number, Ranking and Time Sequence Test
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

A number divided by 296 leaves the remainder 75. If the same number is divided by 37, what will be the remainder ?

A) 0	B) 1
C) 11	D) 8

Answer & Explanation Answer: B) 1

Explanation:

Let x be the number.

Given: x = 296n + 75 [where n is quotient]

--> (378n) +( 372 + 1)

-->37(8n + 2) + 1

Hence, when x divided by 37, 1 is the remainder.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

Q:

How many remainders are possible if $16^{n}$ is divided by 9 for any positive integral value of n ?

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

Answer & Explanation Answer: C) 3

Explanation:

When $16^{n}$ is divided by 9, we have

$\frac{16^{1}}{9}$ , remainder = 7

$\frac{16^{2}}{9}$ , remainder = 4

$\frac{16^{3}}{9}$ , remainder = 1

$\frac{16^{4}}{9}$ , remainder = 7

$\frac{16^{5}}{9}$ , remainder = 4

$\frac{16^{6}}{9}$ , remainder = 1

So, we have cyclicity of 3 factors i.e 7,4,1.

Hence only 3 remainders are possible.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

Q:

If log 64 = 1.8061, then the value of log 16 will be (approx)?

A) 1.9048	B) 1.2040
C) 0.9840	D) 1.4521

Answer & Explanation Answer: B) 1.2040

Explanation:

Given that, log 64 = 1.8061

i.e $\log (4^{3}) = 1.8061$

--> 3 log 4 = 1.8061

--> log 4 = 0.6020

--> 2 log 4 = 1.2040

$\Rightarrow \log (4^{2}) = 1.2040$

Therefore, log 16 = 1.2040

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Filed Under: Logarithms
Exam Prep: CAT
Job Role: Bank Clerk

Q:

From a bunch of flowers having 16 red roses and 14 white roses, four flowers have to be selected. In how many different ways can they be selected such that at least one red rose is selected?

A) 27405	B) 26584
C) 26585	D) 27404

Answer & Explanation Answer: D) 27404

Explanation:

Given total 16 Red roses and 14 White roses = 30 roses

Four flowers have to be selected from 30 i.e, $C_{4}^{30}$ = 27405 Ways

Now, atleast one Red rose is selected i.e, 27405(total) - 1(all four are white roses) = 27404 ways.

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Filed Under: Permutations and Combinations
Exam Prep: CAT
Job Role: Bank Clerk

Q:

Two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. Biker A rides at a speed of 16 kmph and biker B rides at a speed of 14 kmph. If the track has a diameter of 40 km, after how much time (in hours) will the two bikers meet?

A) 6.52	B) 8.14
C) 4.18	D) 5.02

Answer & Explanation Answer: C) 4.18

Explanation:

Distance to be covered = $πD$ = $40 π$ km

Relative speed of bikers = 16 + 14 = 30 kmph.

Now, $t i m e = \frac{d i s \tan c e}{s p e e d}$ = $\frac{40 π}{30}$ = 4.18 hrs.

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Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank Clerk

Q:

If the cost price of a certain object doubles, then the loss gets tripled of what it was initially. The initial loss % was ?

A) 0 %	B) 25 %
C) 75 %	D) 50 %

Answer & Explanation Answer: D) 50 %

Explanation:

Let the cost price be x and selling price be y.
Loss = x – y

When the cost price doubles, the loss gets tripled.
So it becomes like this, 2x – y = 3(x-y)

=> x = 2y

Loss % = (loss/ C.P) x 100 = [(2y-y)/2y] x 100= 50 %

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Filed Under: Profit and Loss
Exam Prep: CAT
Job Role: Bank PO

Q:

In a palace, three different types of coins are there namely gold, silver and bronze. The number of gold, silver and bronze coins is 18000, 9600 and 3600 respectively. Find the minimum number of rooms required if in each room should give the same number of coins of the same type ?

A) 26	B) 24
C) 18	D) 12

Answer & Explanation Answer: A) 26

Explanation:

Gold coins = 18000 , Silver coins = 9600 , Bronze coins = 3600

Find a number which exactly divide all these numbers

That is HCF of 18000, 9600& 3600

All the value has 00 at end so the factor will also have 00.

HCF for 180, 96 & 36.

Factors of

180 = 3 x 3 x 5 x 2 x 2

96 = 2 x 2 x 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

Common factors are 2x2×3=12

Therefore, Actual HCF is 1200

Gold Coins 18000/1200 will be in 15 rooms

Silver Coins 9600/1200 will be in 8 rooms

Bronze Coins 3600/1200 will be in 3 rooms

Total rooms will be (15+8+3) = 26 rooms.

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Filed Under: HCF and LCM
Exam Prep: CAT
Job Role: Bank Clerk

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