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Q:

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

(√80.997 - √25.001) × (√120.98 + √16.02) = ?

A) 20 B) 30
C) 40 D) 50
 
Answer & Explanation Answer:

Explanation:

Ans. 
Approximating the values:
(√81 - √25) × (√121 + √16) = ?
(9 - 5) × (11 + 4) = ?
4 × 15 = ?
? = 60

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

Q:

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

53.01 - 345.02 ÷ 22.99 = 2 ×(?)

A) 14 B) 19
C) 24 D) 54
 
Answer & Explanation Answer: B) 19

Explanation:

Ans. 
53 - 345 ÷ 23 = 2 ×(?)
53 - 15 = 2 ×(?)
38 = 2 ×(?)
? = 19

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

Q:

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

(184.002 - 29 ÷ 5) × 29.997 = ?

A) 5140 B) 5240
C) 5340 D) 5440
 
Answer & Explanation Answer: C) 5340

Explanation:

Ans.
(184 - 6) × 30 = ?
178 × 30 = ?
? = 5340

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

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

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

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

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
Exam Prep: AIEEE , Bank Exams , GATE

Q:

A train left from station A for station B at 4 pm at an average speed of 80 kmph. At 8 pm, another train also had left from station A for station B on a parallel track at an average speed of 120 kmph. How far from A is another train expected to overtake the first train?

A) 900km B) 940km
C) 960km D) 980km
 
Answer & Explanation Answer: C) 960km

Explanation:

Ans. 
Distance covered by 1st train in 4 hours = 80*4 = 320 km
Relative speed of 2nd train = 120-80 = 40 km
It will overtake another train in 320/40 = 8 hours
Distance between overtake point and station A = 8*120 = 960 km

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , GATE