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Q:

A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is ?

A) 11	B) 7
C) 9	D) 13

Answer & Explanation Answer: C) 9

Explanation:

Here the number of cogs is inveresly proportional to number of revolutions

=> More cogs less revolution
=> 6 : 14 :: x : 21
=> (21x6)/14 = 9

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

Q:

Replace each letter for a unique digit so that the equation is correct

$\left ( J+O+I+N+T \right )^3=JOINT$

Answer

(1+9+6+8+3) x (1+9+6+8+3) x (1+9+6+8+3) = 19683

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Subject: Math Puzzles Exam Prep: Bank Exams , AIEEE
Job Role: Bank Clerk

Q:

Study the given bar graph and pie chart to answer the following questions.

The bar graph shows the production (in thousand tonnes) of Wheat, Rice and Maize in different states.

The pie-chart shows the percentage of agricultural land in the given six states.

Productivity = $\frac{Total\: Production}{Area\: of\: agricultural\: land}$

1.The productivity of which state is the maximum ?

1. Bihar 2. Haryana 3. Punjab 4. UP 5. MP

2.The production of which state is the maximum ?

1. Bihar 2. MP 3. Haryana 4. UP 5. Punjab

3.The prodution of wheat in punjab is what per cent more than the production of Maize in odisha ?

1. 350% 2. 250% 3. 300% 4. 200% 5. 400%

4.What is the ratio of the production of Rice in Bihar to the production of Wheat in Haryana ?

1. 2:3 2. 3:2 3. 2:1 4. 1:1 5. 1:2

5.If MP exports 40% of Rice at the rate of Rs.30 per kg and UP exports 30% of Rice at the rate of Rs.32 per kg, then what is the ratio of the income from the exports ?

1. 65:48 2. 31:42 3. 43:54 4. 57:62 5. 1:2

Answer

1. Answer : 2

Explanation : Productivity = Total production/area of Agr.land

Productivity of UP = [ (35000+30000+25000) / (30/100) ] = 300000

Productivity of MP = [ (30000+37500+27500) / (25/100) ] = 380000

Productivity of Bihar = [ (22500+27500+25000) / (20/100) ] = 375000

Productivity of Odisha = [ (22500+15000+10000) / (5/100) ]= 950000

Productivity of Haryana = [ (30000+25000+35000) / (8/100) ] = 1125000

Productivity of Punjab = [ (40000+35000+30000) / (12/100) ] = 875000

The Productivity of Haryana is the maximum.

2. Answer : 5

Explanation : Production of Punjab is maximum = 105000 tonnes

3. Answer : 3

Explanation : Production of Wheat in Punjab = 40000 tones

Production of Maize in Odisha = 10000 tones

Required % = (40000 - 10000)/100 = 300%

4. Answer : 4

Explanation : The ratio of prodution of Rice in Bihar to the production of Wheat in Haryana = 25000 tonnes : 25000 tonnes = 1 : 1

5. Answer : 1

Explanation : Income of MP from export of 40% of Rice at the rate of Rs.30 per kg = Rs.39crore

Income of UP from export of 30% of Rice at the rate of Rs.32 per kg = Rs.28.8 crore

Required ratio = 39 : 28.8 = 390 : 288 = 65 : 48

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

Q:

In this question ,there is a word writen in capital letter, with one letter underlined. For each letter in that word there is a code written. That code is denoted by either 1 , 2, 3, 4 or 5 notin the same order. you have to find out the exact code for the underlined letter in the word. The number of that code is the answer.

$\underline{F}\;L\; I\; E\; S$

1. N 2. G 3. P 4. F 5. C

Answer

Answer : 5

Explanation : Given that, For each letter in the word (FLIES) there is a code written and also that code is denoted by either 1 , 2, 3, 4 or 5

Apply the below code, It exactly matches the Given Condition

Letters at odd- numbered places shift three positions backward and letters at even-numbered places shift two positions forward as in English alphabet.

$\therefore \: \:\: \: \: \begin{matrix} F& L& I& E& S\\ 1& 2& 3& 4& 5 \end{matrix}\: \: \: \: \: \Rightarrow \: \: \: \: \: \begin{matrix} C & N & F & G & P\\ & & & & \end{matrix}$

Here, Odd- Numbered Places F, I , S shift three positions backward in English Alphabet.

Even- Numbered Places L, E shift two positions forward in English Alphabet.

Therefore, exact code for the underline letter (F) is C.

So the Answer is 5.

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Subject: Coding and Decoding

Q:

The value of

$\left [ \frac{2^{n}+2^{n-1}}{2^{n+1}-2^{n}} \right ]$ is:

Answer

$\frac{2^{n} + \frac{2^{n}}{2}}{2 x 2^{n} - 2^{n}} = \frac{2^{n} (1 + \frac{1}{2})}{2^{n} (2 - 1)} = \frac{3}{2}$

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

Q:

The total number of prime factors in the expansion

$4^{11}\times 7^{5}\times11^{2}$

Answer

$2^{2^{11}} x 7^{5} x 11^{2} = > 2^{22} x 7^{5} x 11^{2}$

Total number of prime factors is (22+5+2) = 29

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

Q:

A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:

A) 4	B) 9
C) 12	D) 49

Answer & Explanation Answer: B) 9

Explanation:

Let the required number of revolutions made by larger wheel be x.

Then, More cogs, Less revolutions (Indirect Proportion)

14 : 6 :: 21 : x => 14 x x = 6 x 21

x=6*21/14 => x=9

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Filed Under: Chain Rule

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