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Q:

A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel?

A) 1100	B) 1300
C) 1400	D) 1200

Answer & Explanation Answer: C) 1400

Explanation:

Given the ratio of the circumference of front wheel is 40 inches and back wheel is 70 inches.

Distance covered = Circumference of the wheel × No. of Revolutions made by the wheel

If n is the number of revolutions made by back wheel, the number of revolutions made by front wheel is n+15

Distance covered by both the wheels is the same

i.e, 40*(n+15)=70n

n=20

Front wheel : Back Wheel

Circumference 40 : 70

Revolutions 35 : 20

Distance covered : 40×35 = 70×20 = 1400 inches.

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

Q:

In certain language, CHAMPION is coded as HCMAIPNO, how is NEGATIVE coded in that code ?

A) NEAGVEIT	B) ENAGITEV
C) MGAETVIE	D) EGAITEVN

Answer & Explanation Answer: B) ENAGITEV

Explanation:

The letters of the word are reversed in order, taking two at a time, to obtain the code.

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Filed Under: Coding and Decoding
Exam Prep: CAT
Job Role: Bank Clerk

Q:

How many prime numbers exist in $6^{5} \times 35^{9} \times 11^{3}$ ?

A) 29	B) 31
C) 33	D) 27

Answer & Explanation Answer: B) 31

Explanation:

Given $6^{5} \times 35^{9} \times 11^{3}$

$\Rightarrow {(2 \times 3)}^{5} \times {(5 \times 7)}^{9} \times 11^{3}$

$\Rightarrow 2^{5} \times 3^{5} \times 5^{9} \times 7^{9} \times 11^{3}$

Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.

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

Q:

What should be the maximum value of B in the following equation?
8A9 – 6B2 + 4C6 = 723

A) 4	B) 1
C) 5	D) 7

Answer & Explanation Answer: D) 7

Explanation:

1 1
8 A 9
+ 4 C 6
- 6 B 2
7 2 3
We may represent the given sum, as shown below:

1 + A + C - B = 12
A + C - B = 11

Now,giving the maximum values to A and C, i.e.

A = 9 and C = 9, we get B = 7.

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

Q:

How many numbers with distinct digits are possible product of whose digits is 18?

A) 12	B) 8
C) 6	D) 4

Answer & Explanation Answer: B) 8

Explanation:

Two digit numbers: The two digits can be 2 and 9: Two possibilities 29 and 92.

Three-digit numbers: The three digits can be 1, 2 and 9 => 3! Or 6 possibilities.

We cannot have three digits as (3, 3, 2) as the digits have to be distinct.

We cannot have numbers with 4 digits or more without repeating the digits.

So, there are totally 8 numbers.

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

Q:

How many iron rods, each of length 7 mts and diameter 2 cms can be made out of 0.88 cubic metre of iron ?

A) 500	B) 600
C) 400	D) 300

Answer & Explanation Answer: C) 400

Explanation:

Given length of iron rod =7 mts and and diameter of rod = 2 cms

=> r = 1/100 mts

Therefore, Volume of one rod = ${πr}^{2} h$ cu. m = $(\frac{22}{7} \times {[\frac{1}{100}]}^{2} \times 7)$ cu. m = $\frac{11}{5000}$ cu. m

Given volume of iron = 0.88 cu. m

Therefore, Number of rods = $(0.88 \times \frac{5000}{11})$ = 400.

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Filed Under: Volume and Surface Area
Exam Prep: CAT
Job Role: Bank PO

Q:

A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ?

A) 24.52 litres	B) 29.63 litres
C) 28.21 litres	D) 25.14 litres

Answer & Explanation Answer: B) 29.63 litres

Explanation:

Given that container has 50 litres of milk.

After replacing 8 litres of milk with water for three times, milk contained in the container is:

$\Rightarrow [50 {(1 - \frac{8}{50})}^{3}]$

$\Rightarrow (50 \times \frac{42}{50} \times \frac{42}{50} \times \frac{42}{50})$ = 29.63 litres.

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Filed Under: Alligation or Mixture
Exam Prep: CAT
Job Role: Bank PO

Q:

Who will inaugurate the 6th Asia Pacific Ministerial Conference?

Venkaiah Naidu
Sushma Swaraj
Narendra Modi
Menaka Gandhi

A) Narendra Modi	B) Menaka Gandhi
C) Sushma Swaraj	D) Venkaiah Naidu

Answer & Explanation Answer: D) Venkaiah Naidu

Explanation:

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Filed Under: General Awareness
Exam Prep: Bank Exams

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