Quantitative Aptitude - Arithmetic Ability Questions

Q:

The largest 4 digit number exactly divisible by 88 is ?

A) 9944 B) 9768
C) 8888 D) 9988
 
Answer & Explanation Answer: A) 9944

Explanation:

The largest 4 digit number is = 9999
After dividing 9999 with 88, we get 55 as remainder
so largest 4 digit number divisible by 88 = 9999-55 = 9944.

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT
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52 22399
Q:

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is

A) Rs.4000 B) Rs.500
C) Rs.600 D) Rs.800
 
Answer & Explanation Answer: B) Rs.500

Explanation:

Let the sum be Rs. P.

Then,[p(1+10/100)2-p]=525

Sum =Rs.2500

S.I.= Rs.(2500*5*4)/100


= Rs. 500

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

10 22375
Q:

If 60% of 35 of a number is 36, then the number is

A) 86 B) 94
C) 100 D) 115
 
Answer & Explanation Answer: C) 100

Explanation:

Let the number be x.Then

 

60% of 35of x=36.

 

=> 60100*35*x=36

 

=> 9x25=36 => x=25*369=100

 

Required number is 100.

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28 22363
Q:

What value should come in place of the question mark (?) in the following question?

325-122+75=?2-68

A) 18 B) 324
C) 18 D) 3242
 
Answer & Explanation Answer: C) 18

Explanation:

?2 = 325 – 144 + 75 + 68
= 468 – 144 = 324
(?) = 18,-18

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0 22348
Q:

 In a 300 m race, A beats B by 22.5 m or 6 seconds. B's time over the course is:

A) 86 sec B) 80 sec
C) 76 sec D) None of these
 
Answer & Explanation Answer: B) 80 sec

Explanation:

B runs 45/2mts in 6 sec

 

B covers 300m in (6*2/45*300)sec =80 sec

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Filed Under: Races and Games

19 22337
Q:

The difference between the squares of two consecutive odd integers is always divisible by ?

A) 8 B) 2
C) 6 D) 4
 
Answer & Explanation Answer: A) 8

Explanation:

Let the two consecutive odd integers be (2x + 1) and (2x + 3)

Then,

(2x + 3)2 - (2x + 1)2

= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)

= (4x + 4)(2)
= 8 (x + 1), which is always divisible by 8

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

45 22326
Q:

A,B and C enter into a partnership in the ratio  72:43:65. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is :

A) Rs. 4000 B) Rs. 6000
C) Rs. 9000 D) Rs. 3000
 
Answer & Explanation Answer: A) Rs. 4000

Explanation:

Given ratio of initial investments = 72:43:65 = 105 : 40 : 36.

 Let the initial investments be 105x, 40x and 36x.

 

A:B:C = 105x×4 + 150100×105x×8 : 40x×12 : 36x×12  

               = 1680x : 480x : 432x = 35 : 10 : 9.

 

Hence, B's share = 21600×1054 = Rs. 4000.

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

18 22302
Q:

Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?

A) 48 B) 24
C) 38 D) 36
 
Answer & Explanation Answer: B) 24

Explanation:

Less Cogs  more turns and less time  less turns

 

    Cogs  Time  TurnsA  54       45       80B   32       8          ?

Number of turns required=80 × 54/32 × 8/45  = 24 times

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Filed Under: Problems on Trains

57 22297