Aptitude and Reasoning Questions

Q:

What is the angle made by the hour hand and the minute hand, if the clock shows 9:15 pm ?

A) 165 degrees B) 172.5 degrees
C) 112.5 degrees D) 125.5 degrees
 
Answer & Explanation Answer: B) 172.5 degrees

Explanation:

The minute hand angle is the easiest since an hour (i.e. 60 minutes) corresponds to the entire 360 degrees, each minute must correspond to 6 degrees. So just multiply the number of minutes in the time by 6 to get the number of degrees for the minute hand.
Here 15 minutes corresponds to 15 x 6 = 90 degrees

Next, you have to figure out the angle of the hour hand. Since there are 12 hours in the entire 360 degrees, each hour corresponds to 30 degrees. But unless the time is EXACTLY something o'clock, you have to write the time as a fractional number of hours rather than as hours and minutes.
Here the time is 9:15 which is (9 + 15/60) = 37/4 hours. Since each hour corresponds to 30 degrees, we multiply 30 to get (37/4)(30) = 277.5 degrees.

Since the hour hand is at 277.5 degrees and the minute hand is at 90 degrees, we can subtract to get the angle of separation. 277.5 - 90 = 187.5 =~ 360 - 187.5 = 172.5 degrees.

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Filed Under: Clocks
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

38 20805
Q:

A room 5m 55cm long and 3m 74cm broad is to be paved with square tiles.Find the least number of square tiles required to cover the floor?

A) 156 B) 166
C) 176 D) 186
 
Answer & Explanation Answer: C) 176

Explanation:

Area of the room=(544 * 374)

 

size of largest square tile= H.C.F of 544 & 374 = 34 cm

 

Area of 1 tile = (34  x  34) cm2

 

Number of tiles required== [(544 x 374) / (34 x 34)] = 176

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

54 20804
Q:

If 18 bindres bind 900 books in 10 days , How many binders will be required to bind 660 books in 12 days?

A) 22 B) 14
C) 13 D) 11
 
Answer & Explanation Answer: D) 11

Explanation:

Let the required no of binders be X.

Less books , Less binders       (Direct Proportion)

More days, Less binders         (Indirect proportion)

 

 Books900:660Days12 : 10 18:x

Therefore, (900 * 12 * x) =  (660 * 10 * 18)  

=> x = 11

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Filed Under: Chain Rule

38 20800
Q:

The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

A) 1677 B) 1683
C) 2523 D) 3363
 
Answer & Explanation Answer: B) 1683

Explanation:

L.C.M. of 5, 6, 7, 8 = 840.

 

 Required number is of the form 840k + 3

 

Least value of k for which (840k + 3) is divisible by 9 is k = 2.

 

 Required number = (840 x 2 + 3) = 1683.

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Filed Under: HCF and LCM

25 20795
Q:

How many new year's greeting cards were sold this year in your shop ? 

I. Last year 2935 cards were sold. 

II. The number of cards sold this year was 1.2 times that of last year

A) If the data in statement I alone are sufficient to answer the question i B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.
 
Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From both the given statements, we find that the number of cards sold this year (2935 x 1.2) = 3522.

S0. both I and II together are required. 

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Filed Under: Data Sufficiency

8 20795
Q:

The difference between Simple Interest and True Discount on a certain sum of money for 6 months at 1212% per annum is Rs 25. Find the sum.

A) Rs.6800 B) Rs.6500
C) Rs.6000 D) Rs.6200
 
Answer & Explanation Answer: A) Rs.6800

Explanation:

 

 

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Filed Under: True Discount

53 20792
Q:

Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ?

A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 B) Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840
C) Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840 D) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940
 
Answer & Explanation Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840

Explanation:

Initial investment of Ram = Rs.2500.
After 2 months he withdraw Rs.1250 from his capital.
Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months.

Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months.

And, Rakesh invested Rs.3500 for 3 months;

Their investing ratio:
Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)
= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42

Total profit for 6 months = Rs.2540
Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800
Raj's share = Rs.(2540 x 45/127) = Rs.900
Rakesh's share = Rs.(2540 x 42/127) = Rs.840

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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8 20782
Q:

Study the following information carefully and answer the questions given below it.

 

1) There are 6 members in a family in which there are two married couples.

2) Sandhya, a lawyer, is married to the engineer and is mother of Charu and Suraj.

3) Bhuvanesh, the teacher, is married Aruna.

4) Aruna has one son and one grandson.

5) Of the two married ladies one is a housewife.

6) There is also one student and one male doctor in the family

 

How is Aruna related to Charu?

 

A) Sister B) Mother
C) Grandfather D) Grandmother
 
Answer & Explanation Answer: D) Grandmother

Explanation:
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Filed Under: Blood Relations
Exam Prep: Bank Exams

1 20781