GATE Questions

Q:

Munna and Chinna are partners in a firm out of which Munna is sleeping partner and Chinna is working partner. Munna invests Rs. 1,40,000 and Chinna invests Rs. 80,000. Chinna receives 14.5% of profit for managing the business and the rest is shared between both in ratio of their investments. Munna's share in the profit of Rs. 19600 is ?

A) Rs. 9580.25 B) Rs. 10600
C) Rs. 10664.15 D) Rs. 11060.48
 
Answer & Explanation Answer: C) Rs. 10664.15

Explanation:

Profit received by Chinna as working partner = 14.5% of Rs. 19600

= 14.5x19600/100 = Rs. 2842

Balance in profit = 19600-2842 = Rs. 16758

Ratio of investment of Chinna & Munna = 80,000 : 1,40,000 = 4 : 7

Hence share of Chinna in investment = 4x16758/100 = Rs. 6093.85

Therefore, Share of Munna = 19600 - 2842 - 6093.85 = Rs. 10664.15

Report Error

View Answer Report Error Discuss

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

7 5692
Q:

A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second. After how many seconds does the ball attain its maximum height?

A) 2.87 sec B) 3.44 sec
C) 4.65 sec D) 5.41 sec
 
Answer & Explanation Answer: B) 3.44 sec

Explanation:

It is launched vertically with an initial speed of 110 ft/sec.

It will reach maximum height when the speed drops to 0.

Vo=110 feet per second 

ho=2 feet 

So, h(t) = -16t^2 +110t +2 

Take the derivative: h'(t) = 110 -32t 

The maximum height will be at the inflection when the derivative crosses the x-axis, then h'(t)=0. 

So, set h'(t)=0 and solve for t: 

0 = 110 -32t 

-110 = -32t 

t=3.4375 

t=3.44 seconds.

 

Report Error

View Answer Report Error Discuss

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

3 5691
Q:

What number should be Replaced ?

19113682_1335002436606857_8814713213200837998_n1499843587.jpg image

A) 15 B) 17
C) 10 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

Sum of numbers in the outer circle in before Arc should come in inner circle patterns in the clock wise direction next Arc.

i.e, 9+6 = 15 comes in next arc of inner circle

7+3 = 10 comes in next arc of inner circle

In the same way, 4+2 = 6 comes in place of '?'.

Report Error

View Answer Report Error Discuss

Filed Under: Logic Puzzles
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

13 5688
Q:

A water tank in a village is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the tank is full, in how many hrs will the leak empty it ? 

A) 34 hrs B) 36 hrs
C) 38 hrs D) 40 hrs
 
Answer & Explanation Answer: D) 40 hrs

Explanation:

The time taken by the leak to empty the tank = 18 - 110 = 5 - 440 = 140

Therefore, the leak empties the tank in 40 hours.

Report Error

View Answer Report Error Discuss

Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

10 5688
Q:

When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country ?

A) 188 million B) 166 2/3 million
C) 192 3/4 million D) None
 
Answer & Explanation Answer: B) 166 2/3 million

Explanation:

5% - 2% = 3%
=> 3% ------ 5 million bags
100% ---- ?
=> 166 2/3 million bags.

Report Error

View Answer Report Error Discuss

Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

8 5683
Q:

Solve the equation 122x+1 = 1 ?

A) -1/2 B) 1/2
C) 1 D) -1
 
Answer & Explanation Answer: A) -1/2

Explanation:

Rewrite equation as 122x+1 = 120

 

Leads to 2x + 1 = 0 

 

Solve for x : x = -1/2

Report Error

View Answer Report Error Discuss

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

37 5683
Q:

Which of the following is the strongest base?

A) LiCH3 B) LiF
C) LiOH D) LiNH2
 
Answer & Explanation Answer: A) LiCH3

Explanation:

The stability of the ions is determined by the energy of the lone pairs. Carbon has the least effective nuclear charge (Zeff) and so the lone pair on the CH3− ion has the highest energy, making it the least stable ion and so the strongest base. The Zeff increases as we move across the period until we get to fluorine which has the greatest Zeff and so its lone pairs have the lowest energy, making F− the least basic ion.

 

In order of decreasing basicity they are ranked LiCH3 > LiNH2 > LiOH > LiF. We are dealing with the ions F−, OH−, NH2− and CH3− and so the factor which influences their basicity is the stability of the ion compared to its conjugate acid.

Report Error

View Answer Report Error Discuss

Filed Under: Chemistry
Exam Prep: GATE , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

2 5683
Q:

Can you slove this Maths Puzzle?

maths_puzzle1537500715.jpg image

A) 12 B) 6
C) 3 D) 1
 
Answer & Explanation Answer: B) 6

Explanation:

In the given puzzle, the logic behind is

9 = 72 => 9 x 8 = 72

8 = 56 => 8 x 7 = 56

7 = 42 => 7 x 6 = 42

6 = 30 => 6 x 5 = 30

5 = 20 => 5 x 4 = 20

 

Similarly,

4 = 12 => 4 x 3 = 12

3 = 6 => 3 x 2 = 6

Report Error

View Answer Report Error Discuss

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

19 5679