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- Question
The difference of the squares of two consecutive odd integers is divisible by which of the following integers?
Options- A. 3
- B. 6
- C. 7
- D. 8
- Correct Answer
- 8
Explanation
Let the two consecutive odd integers be (2 n + 1) and (2 n + 3). Then,(2n + 3)2 - (2n + 1)2 = (2n + 3 + 2n + 1) (2n + 3 - 2n - 1)
= (4n + 4) x 2
= 8(n + 1), which is divisible by 8.
- 1. Area of the trapezium formed by x-axis; y-axis and the lines 3x + 4y = 12 and 6x + 8y = 60 is:
Options- A. 37.5 sq. unit
- B. 31.5 sq. unit
- C. 48 sq. unit
- D. 36.5 sq. unit Discuss
- 2. A card is drawn from a pack of 52 cards. A card is drawn at random. What is the probability that it is neither a heart nor a king?
Options- A. 4/13
- B. 9/13
- C. 2/13
- D. 4/13 Discuss
- 3. A train speeds past a pole in 15 seconds and speeds past a platform 100 meters long in 25 second. Its length in meters is?
Options- A. 200
- B. 150
- C. 50
- D. Data inadequate Discuss
- 4. A man perchases certain number of toffees at 6 per rupee. and the same number of toffees at 7 per rupee. He mixed the toffs and sells them at 6 per rupee. What is his gain or loss percent?
Options- A. 69/13 % loss
- B. 79/13% gain
- C. 76/13 % loss
- D. 75/13 gain Discuss
- 5. The average marks of 120 students are 35. if the average of passed stuydents was 39. and failed students was 15 then find the number of students who have passed
Options- A. 80
- B. 100
- C. 120
- D. 140 Discuss
- 6. If the numerator of a certain fraction is increased by 2 and the denominator is increased by 1, then the resulting fraction is equal to the 1/2. If how ever the numerator is increased by 1, then denominator is decreased by 2, then the resulting fraction is equal to 3/5. Find the original fraction?
Options- A. 2/7
- B. 3/5
- C. 1/7
- D. 2/5 Discuss
- 7. The average age of the 30 woman decreases by 3 month if a new person Priyanka is included in place of 25 yr old woman. Calculate the age of Priyanka.
Options- A. 17.5 yr
- B. 20 yr
- C. 30 yr
- D. 22 yr Discuss
- 8. The average of class in 35 yr. 6 new students with an average age of 33 yr. joined in that class, there by decreasing the average by half year. The original strength of the class was
Options- A. 14
- B. 18
- C. 16
- D. 20 Discuss
- 9. The average age of 14 girls and their teacher's age is 15 yr. If teacher's age is excluded then the average reduced by 1. What is the teacher's age?
Options- A. 29 yr
- B. 35 yr
- C. 32 yr
- D. 30 yr Discuss
- 10. A train crossed a platform in 43 s. The length of the train is 170 m. What is the Speed of the train?
Options- A. 233 km/h
- B. 243 km/h
- C. 265 km/h
- D. Con not be determined Discuss
More questions
Correct Answer: 31.5 sq. unit
Explanation:
Correct Answer: 9/13
Explanation:
There are 13 hearts and 3 more kings
? p (heart or a king ) = (13 + 3)/52 = 4/13
? P (neither a heart nor a king) = 1 - 4/13 = 9/13
Correct Answer: 150
Explanation:
Let the length of the train be 'L' meters and its speed be 'v' meters/sec
Then, L/v = 15
? v = L/15 ....(1)
Now, (L + 100)/25 = L/15
? L = 150 m
Correct Answer: 79/13% gain
Explanation:
CP of 1 toffee for 1st rate = 1/6
CP of 1 toffee for 2nd rate = 1/7
CP of 2 toffee after mixing = 1/6 + 1/7 = 13/42
CP of 1 toffee after mixing = 13/84
SP of 1 toffee after mixing = 1/6
Gain = 1/6 - 13/84 = 1/84
Gain% = [(1/84) / (13/84)] x 100% = 100/13% = 79/13%
Correct Answer: 100
Explanation:
Here n = 120, a = 35, x = 39, y = 15
Number of students passed = n (a - y)/(x - y)
= 120(35 - 15)/(39 -15)
= 100 students passed
Correct Answer: 2/7
Explanation:
Let the fraction be x / y.
According to the question,
( x+2)/(y+1) = 1/2
? 2x + 4 = y+1
? 2x - y = -3 .........................(i)
Again according to the question,
(x+1)/(y-2) = 3/5
? 5x +5 = 3y - 6
? 5x - 3y = -11..........................(ii)
on multiplying Eq. (i) by 3 and then subtracting from Eq. (ii) we get,
multiplying Eq. (i) by 3
6x - 3y = -9
subtracting from Eq. (ii)
5x- 3y - ( 6x - 3y ) = -11 - (-9)
5x- 3y - 6x + 3y = -11 + 9
- x = - 2
x= 2
On putting the value of x in Eq. (i) we get
2x- y = -3
2 x 2 - y = -3
? 2 x 2 -y = -3
? -y = -3 - 4
? y = 7
? Original fraction = x/y =2/7
Correct Answer: 17.5 yr
Explanation:
Here, average decreases by 3 months of 3/12 yr.
Sum of ages decreased
= 30 x 3/12 = 15/2 = 7.5 yr
? Age of priyanka = (25 - 7.5) = 17.5 yr.
Correct Answer: 18
Explanation:
Let the number of students in the class = N
According to the question,
(35N + 6 x 33) / (N + 6) = 35 - (1/2)
? 35N + 198 = 34.5 (N + 6)
? 35N +198 = 34.5N + 207
? 0.5N = 207 -198N = 9/0.5 = 18
? N = 18 days
Correct Answer: 29 yr
Explanation:
Sum of 14 girls and teacher age = 15 x 15 = 225
Without teacher's age sum of 14 girls age = 14 x 14 = 196
? Teacher's age = 225 -196 = 29 year
Correct Answer: Con not be determined
Explanation:
Length of platform is not given. it can not be determined.
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