A train crosses a pole in 8 seconds at the speed of 63 kmph. What is the length of the train?
A. 140 metres
B. 130 metres
C. 135 metres
D. 150 metres
5 .
The sum of two consecutive numbers is 1023. The odd number is
A. 519
B. 511
C. 517
D. 513
6 .
Find the smallest number that can be added to 4739 so that it becomes exactly divisible by 9.
A. 3
B. 4
C. 5
D. 6
7 .
The average weight of 17 boxes is 92 kg. If 18 new boxes are added, the new average increases by 3 kg. What will be the average weight of the 18 new boxes ?
A. 98.8 kg
B. 97.8 kg
C. 91.8 kg
D. 92.8 kg
8 .
Directions (8-10) : What will come in place of question mark (?) in the following questions?
$Q.$ $4\over 9$ x 1701 + $2\over 11$ x 1386 = ?
A. 180
B. 1080
C. 1008
D. 1800
9 .
$1\over \sqrt{7744}$ x 22 = ?
A. 0.35
B. 0.025
C. 2.5
D. 0.25
10 .
$\sqrt{6561} \over \sqrt[3]{729}$
A. 13
B. 8
C. 99
D. 9
Answers & Solutions
1 .
Answer : Option C
Explanation :
The series is $1^ 2$ + 1, $2^ 2$ + 1, $3^ 2$ + 1, $4^ 2$ + 1, $5^ 2$ + 1, ..
2 .
Answer : Option D
Explanation :
The series is +7, +12, +17, +22, +27,.....
3 .
Answer : Option D
Explanation :
The series is +16, +32, +64, +80, ..
4 .
Answer : Option A
Explanation :
Speed of the train = 63 kmph
= 63 x $5\over 18$ m/sec
Length of the train = 63 x $5\over 18$ x 8
= 140 metres
5 .
Answer : Option B
Explanation :
Let the two consecutive numbers be x and x + 1.
Then, x + x + 1 = 1023
or, 2x = 1022
x = $1022 \over 2$ = 511
The numbers are 511 and 512.
Hence, odd number = 511
6 .
Answer : Option B
Explanation :
When we divide 4739 by 9, the quotient is 526 and remainder 5. Reqd number = 9 - 5 = 4 Hence, on adding 4 in 4739 it becomes exactly divisible by 9
7 .
Answer : Option B
Explanation :
Weight of 18 new boxes = 95 $\times$ 35 - 17 $\times$ 92 = 3325 - 1564 = 1761
Average of 18 new boxes = $1761 \over 18$ = 97.8 kg
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