GATE Questions

Q:

Sushma joins a job at 20 yrs. First 3 years salary is 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age Sushma retires ?

A) 50 yrs B) 47 yrs
C) 45 yrs D) 42 yrs
 
Answer & Explanation Answer: A) 50 yrs

Explanation:

Let age of retirement = S
so according to the given condition 25000(x-20)
=10000 x 3 + 12000 + 14000 + 16000 + 18000 + 20000 + 22000 + 24000 + 26000 + 28000 + 30000 + 30000(S-33)
= 30000 + 210000 + 30000S-990000
= 30000S - 750000
or 25000S - 500000 = 30000x - 750000
or 5000x = 250000
or S = 50 yrs.

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

4 5863
Q:

Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ?

A) 43929 B) 59049
C) 15120 D) 0
 
Answer & Explanation Answer: A) 43929

Explanation:

Number of words with 5 letters from given 9 alphabets formed = 95

 

Number of words with 5 letters from given 9 alphabets formed such that no letter is repeated is = 9P5

 

Number of words can be formed which have at least one letter repeated =  95 - 9P5

 

= 59049 - 15120

 

= 43929

Report Error

View Answer Report Error Discuss

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

11 5855
Q:

The payment per hour for a daily-wages employee is increased by 33.33 and the working time is reduced by 33.33%. What is the percentage change in the employee's income ?

A) 11.11% decrease B) 21.11% increase
C) 11.11% increase D) 21.11% decrease
 
Answer & Explanation Answer: A) 11.11% decrease

Explanation:

If earlier he is getting Rs. 1  per hr and working for 1 hr, income = Rs. 1
Now he is getting Rs 1.3333 per hr and working for 0.66667 hrs

Then income for 0.66667 hrs = Rs. 0.8889.

If payment per hr is increased by 33.33 %  and working hours dereased by 33.33%, then 11.11 % decrease in income.

Report Error

View Answer Report Error Discuss

Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

3 5850
Q:

A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger  ?

A) 10 sec B) 48 sec
C) 36 sec D) 56 sec
 
Answer & Explanation Answer: C) 36 sec

Explanation:

Given speed of jogger = 9 kmph
Speed of train = 45 kmph
As they are in same direction,
Relative speed = 45 - 9 = 36 kmph = 36x5/18 = 10 m/s
Distance = 240 + 120 = 360 mts
Time = distance/speed = 360/10 = 36 sec.

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

2 5843
Q:

The intersection of a column and a row

A) Cell B) Menu
C) Key D) Field
 
Answer & Explanation Answer: A) Cell

Explanation:

The intersection of a column and a row in a spread sheet is called as a cell or a bon.

Report Error

View Answer Report Error Discuss

5 5840
Q:

The Good Governance Day (GGD) is observed on which day in India?

A) December 22 B) December 25
C) December 21 D) December 24
 
Answer & Explanation Answer: B) December 25

Explanation:

The Good Governance Day (GGD) is observed every year in India on the eve of the birth anniversary of former Prime Minister Atal Bihari Vajpayee.

Report Error

View Answer Report Error Discuss

Filed Under: General Awareness
Exam Prep: GATE
Job Role: Analyst

22 5832
Q:

The difference between 4632 and 20000 is what number

A) 15368 B) 12652
C) 14562 D) 14965
 
Answer & Explanation Answer: A) 15368

Explanation:

The difference between 4632 and 20000 is given by subtracting smaler number from the bigger number.

Here the bigger number is 20000

Smaller number is 4632

Now, subtracting 4632 from 20000

20000 - 4632 = 15368 and the resut is an even number.

 

Hence, The difference between 4632 and 20000 is 15368 and is an even number.

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

0 5826
Q:

Elisa test is employed to diagnose

A) HIV B) Cancer
C) Tuberculosis D) Polio
 
Answer & Explanation Answer: A) HIV

Explanation:

ELISA - Enzyme-Linked Immuno Sorbent Assay.

test11528447143.jpg image

 

An ELISA test may be used to diagnose: HIV, which causes AIDS.

 

An ELISA also called EIA, is a test that detects and measures antibodies in your blood. Antibodies are proteins that your body produces in response to harmful substances called antigens.

Report Error

View Answer Report Error Discuss

8 5822