# Accenture online arithmetic test

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41 / 146

**Choose the correct option.**

Which of the following numbers are completely divisible by 11?

A. 3245682

B. 283712

C. 438416

D. 36894

AOnly A

BOnly B

COnly C

DOnly D

EAll are divisible

**Answer:**** Option E **

**Explanation:**

Note: If the difference of the sum of digits at odd places and the sum of its digits at even places, is either 0 or divisible by 11, then clearly the number is divisible by 11.

[(Sum of digits at odd places) - (Sum of digits at even places)]/11

=> [(3+4+6+2) - (2+5+8)]/11 => (15 - 15)/11 = 0/11 = 0

similarly others number are divisible by 11

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42 / 146

**Choose the correct option.**

If a number cube is rolled once and coin is tossed once. What is the probability that the coin will show tails and composite number on the cube?

A1/8

B1/6

C1/2

D1/4

Es

**Answer:**** Option B **

**Explanation:**

Numbers on cube (1,2,3,4,5,6)

Composite number on dice are 4 and 6.

So, Probability that the coin will show tails and composite number on the cube = (1/2) *(2/6) = 1/6

Note: Composite number is a positive integer that can be formed by multiplying together two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself

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43 / 146

**Choose the correct option.**

The time a passenger train takes to cross another freight train is twice when the passenger train crosses the freight train running in opposite directions. What is the ratio of their speeds?

A3:1

B1:3

C1:2

D2:1

**Answer:**** Option A **

**Explanation:**

Lets assume speed of freight train = X Km/hr

speed of passenger train = Y Km/hr.

and sum of their length = D Km.

When trains are running in same direction:

so Time = D/(X-Y) ---------- (1)

When trains are running in opposite direction:

So, Time = D/(X+Y) --------- (2)

By eq. (1) & (2)

[D/(X-Y)] = 2 * [D/(X+Y)]

=> 2X-2Y = X+Y

=> X = 3Y

=> X:Y = 3:1

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44 / 146

**Choose the correct option.**

The banker's gain on a bill due 2 year hence at 10% per annum is Rs. 8. The true discount is:

ARs. 44

BRs. 40

CRs. 34

DNone of these

**Answer:**** Option B **

**Explanation:**

True Discount = (B.G*100)/(Rate*Time)

T.D = (8*100)/(10*2)

= 8*5 = Rs. 40

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45 / 146

**Choose the correct option.**

If x(a) = a^2+2a-1, then x(8)-x(5) =

A43

B45

C14

D3

**Answer:**** Option B **

**Explanation:**

x(8) = 64 + 16 - 1 = 79

x(5) = 25 + 10 - 1 = 34

So, x(8)-x(5) = 79 - 34 = 45

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46 / 146

**Choose the correct option.**

If a certain computer is capable of printing 4900 monthly credit card bills per hour, while a new model is capable of printing at a rate of 6600 per hour, the old model will take approximately how much longer than the new model to print 10000 bills?

A13 min

B33 min.

C31 min.

D29 min.

**Answer:**** Option C **

**Explanation:**

Old model is capable of printing at a rate of 4900 per hour

New model is capable of printing at a rate of 6600 per hour

Old model time taken to print 10000 cards = 10000/4900 = 100/49

New model time taken to print 10000 cards = 10000/6600 = 100/66

Old model - new model: 100/49 - 100/66 = 1700 /(49*66) = 850/(49 * 33) = 0.525 hrs => 31 mins

Therefore, the old model will take approximately 31 mins longer than the new model to print 10000 bills

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47 / 146

**Choose the correct option.**

To finish a piece of work, P takes Five times as Q and six times as R. Working together, they can finish the work in 4 days. Q can do the work alone in:

A24 days

B48/5 days

C13 days

D11 days

**Answer:**** Option B **

**Explanation:**

Lets assume Q take x days to finish the work

so P take time = 5x, and R take time R=5x/6

Given, They took 4 day to finish the work.

1/5x+1/x+6/5x= 1/4 => 12/5x = 1/4

x=48/5

So, Q can do work alone in 48/5 days.

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48 / 146

**Choose the correct option.**

If 3/p = 6 and 3/q = 15 then p - q = ?

A1/3

B2/5

C3/10

DNone of these

**Answer:**** Option C **

**Explanation:**

Given, p=1/2,q=1/5

So, p-q = (3/6 - 3/15) = (1/2 - 1/5) = 3/10

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49 / 146

**Choose the correct option.**

Total of the ages of A, B ahd C at present is 90 years. Ten years ago, the ratio of their ages was 1: 2: 3. What is the age of B at present

A23 years

B20 years

C30 years.

D33 years.

**Answer:**** Option C **

**Explanation:**

Let their ages 10 years ago is x, 2x and 3x years.

(x + 10) + (2x + 10) + (3x + 10) = 90 hence x= 10

B's present age = (2x + 10) =30 years.

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50 / 146

**Choose the correct option.**

The sum of a number and its square is 1406. What is the number?

A38

B39

C37

DNone of these

**Answer:**** Option C **

**Explanation:**

Lets assume the no. = x

so x+x^2=1406

by putting values from options

37+37^2

=37(37+1)

=37*38 =1406

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Accenture written test is conducted by aspiring minds. The test had 3 sections i.e Quantitative Aptitude, Logical Reasoning and Verbal Ability. Practice Accenture Written Test Papers with Solutions and take Q4Interview Accenture Online Test Questions to crack Accenture Online Aptitude Test. Overall the level of the Accenture Online Assessment Test is moderate. Only those candidates who clear the written exam will qualify for the next round i.e Group Interview. So prepare well for this round