Q:

What will come in the place of question mark (?) in the following question (You do not have to calculate the exact value)?

√(3099.985 ÷ 62.001 + 14.001) = ?

A) 8 B) 13
C) 18 D) 23
 
Answer & Explanation Answer: A) 8

Explanation:

Ans. 
√(3100 ÷ 62 + 14) = ?
√(50 + 14) = ?
√64 = ?
? = 8

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , GATE

0 1489
Q:

What approximate value should come at the place of question mark (?) in the following questions (You are not expected to calculate the exact value).

(111.93 × 5) ÷ 14.02 = 11.002 + ?

A) 11 B) 10
C) 29 D) 34
 
Answer & Explanation Answer: C) 29

Explanation:

Ans.
112 × 5 ÷ 14 = 11 + ?
112 × 5 ÷ 14 = 11 + ?
560 ÷ 14 = 11 + ?
40 = 11 + ?
? = 40 - 11 = 29

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , GATE

0 1471
Q:

What will come in the place of question mark (?) in the following question (You do not have to calculate the exact value)?

24.97% of 84.01 ÷ 6.995 = ?

A) 3 B) 6
C) 9 D) 12
 
Answer & Explanation Answer: A) 3

Explanation:

Ans. 
25% of 84 ÷ 7 = ?
[(25 × 84)/100]÷ 7 = ?
21÷ 7 = ?
? = 3

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , GATE

0 1525
Q:

The ratio of the speed of Two trains is 5:8. Sum of their length is 660. The ratio of time taken to cross an Electric Pole by train A and B is 4:3. What is the difference between the length of two trains?

A) 50m B) 40m
C) 60m D) 45m
 
Answer & Explanation Answer: C) 60m

Explanation:

Ans.
Given that length of first train + length of second train = 660
Speed of first train : Speed of second train = 5:8 =5x : 8x
Time taken to cross the poll by two trains = 4:3 =4y:3y
Now ,
(5x*4y) + (8x*3y) = 660
44xy = 660
xy = 15
L1 - L2 = 24xy -20xy = 4xy = 60 m

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Exam Prep: AIEEE , Bank Exams , GATE

2 3287
Q:

At present, the sum of ages of 4 people is 76. After 7 years, the ratio will be 7:6:5:8. Find out the present age of C?

A) 12 B) 11
C) 17 D) 13
 
Answer & Explanation Answer: D) 13

Explanation:

Ans.
Currently :
A+B+C+D = 76
According to ques , after 7 years
A+B+C+D = 7x+6x+5x+8x = 76+7*4
26x = 76 + 28
X = 104/26
x = 4
C’s present age = 5x – 7 =20 – 7
                                     = 13

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Filed Under: Problems on Ages
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1 2087
Q:

There are four consecutive even integers. Sum of the reciprocals of the first two number is (11/60). Find the reciprocal of third largest number of the series.

A) 1/12 B) 2/14
C) 1/14 D) 2/13
 
Answer & Explanation Answer: C) 1/14

Explanation:

Ans. C.
Let 4 consecutive even numbers are x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x 2 + 22x
11x 2 - 98x – 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14

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Filed Under: Numbers
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2 3289
Q:

There is a three digit number. The digit at the tenth place is 3. If the place of all the digits are replaced with each other symmetrically about the tens position,then the new number obtained is 396 more than the original three digit number. The sum of the digits at unit & hundredth place is 14. Find out the original number?

A) 513 B) 539
C) 439 D) 613
 
Answer & Explanation Answer: B) 539

Explanation:

Ans.
Let digit = xyz
Given y = 3
According to the question = (100z+10y+x) - (100x+10y+z) = 396x99z-99x = 396
Z-x = 4
Also, Z+ x = 14
Solving (i) & (ii)
Z = 9 , x= 5
The original number is 539

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0 1469
Q:

Marked price of an article is 1600 Rs. more than the cost price. When the same article is sold at a discount of Rs. 500 then the percent profit earned is 25%. For earning a profit of 30%, the article should be sold at what price?

A) 5740 B) 5720
C) 5620 D) 5730
 
Answer & Explanation Answer: B) 5720

Explanation:

Ans. B.
According to the question ,
Marked Price = 1600 + Cost price - (i)
MP – 500 = 125/100 * CP - (ii)
MP = 5/4 CP + 500 - (ii)
4MP = 5CP + 2000 -(ii)
Solving (i) and (ii)
Cost Price = 4400
Now , the selling price
= 130/100 * 4400
= 5720

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , GATE

1 3588