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- Question
If a+b=3 then the value of a3+b3+9ab-27 is
Options- A. 24
- B. 25
- C. 0
- D. 27
- Correct Answer
- 0
- 1. The angle of elevation of the top of a tower standing on a horizontal plane from a point A is ?. After walking a distance a towards the foot of the tower, the angle of elevation is found to be ?. The height of the tower is :
Options- A. a Sin ? Sin ?/ Sin(? - ?)
- B. a Sin ? Sin ?/Sin(? - ?)
- C. a Sin( ? - ? ) Sin ? Sin ?
- D. a Sin(? - ?)/Sin ?Sin ? Discuss
- 2. The number of different permutations of the word 'BANANA' is?
Options- A. 270
- B. 60
- C. 120
- D. 360 Discuss
- 3. A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:
Options- A. gains Rs. 55
- B. gains Rs. 50
- C. loses Rs. 30
- D. gains Rs. 30 Discuss
- 4. 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Options- A. 10
- B. 13
- C. 18
- D. 136 Discuss
- 5. In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C:
Options- A. 8 points
- B. 10 points
- C. 14 points
- D. 40 points Discuss
- 6. In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
Options- A. 5 kmph
- B. 6 kmph
- C. 6.25 kmph
- D. 7.5 kmph Discuss
- 7. If 45 m of a uniform rod weight 171 kg, then what will be the weight of 12 m of the same rod?
Options- A. 49 kg
- B. 42.5 kg
- C. 55 kg
- D. 45.6 kg Discuss
- 8. A company has issued 10000 preferred shares and 50000 common shares both of par value $ 100 each. The dividend on a preferred share and a common share is 12% and 17.6%, respectively. The company had a total profit of $ 15 Millions, out of which some amount was kept in reserve fund and the remaining distributed as dividend. Find out the amount kept in reserve fund.
Options- A. $ 5 Million
- B. $ 6 Million
- C. $ 6.5 Million
- D. $ 5.5 Million Discuss
- 9. If a certain sum is doubled in 8 yr on simple interest, in how many year will it be four times?
Options- A. 24 yr
- B. 16 yr
- C. 32 yr
- D. 12 yr Discuss
- 10. The sum of three consecutive odd numbers is 20 more than the first of these numbers.What is the middle number?
Options- A. 7
- B. 9
- C. 11
- D. Data inadequate Discuss
More questions
Correct Answer: a Sin ? Sin ?/ Sin(? - ?)
Explanation:
Let OP be the tower of height h (say) and A and B be the two positions on the horizontal line through O, such that
?OAP = ?, ?OBP = ? and OB = x
In ?OBP, Use the trigonometry formula
Tan? = P/B = Perpendicular distance / Base distance
Tan? = OP/OB
? OB = OP/Tan?
? OB = OP Cot?
Put the value of OB and OP , We will get
x = h Cot ?...............(1)
In ?OAP, Similarly
Tan? = OP/OA
? OA = OP/ Tan?
? OA = OP Cot ?
Put the value of OA and OP
? a + x = h Cot ?
? x = h Cot ? - a ............(2)
From equation (1) and (2)
? h Cot ? = h Cot ? - a
? a = h Cot ? - h Cot ?
? a = h (Cot ? - Cot ?)
? a = h (Cos ?/ Sin ? - Cos ? / Sin ? )
? a = h( (Cos ? Sin ? - Cos ? Sin ? ) /Sin ? Sin ? )
? a = h( Sin(? - ?) / Sin ? Sin ?)
? h = a Sin ? Sin ?/ Sin(? - ?)
Correct Answer: 60
Explanation:
There are 3A's 2N's and one B. We have to find the total number of arrangements of 6 letters out of which 3 are alike of one kind, 2 are alike of second kind, thus the total number of words
= 6! / (3! 2!) = 60
Correct Answer: gains Rs. 50
Explanation:
| S.P. | = P.W. of Rs. 2200 due 1 year hence | |||||
|
||||||
| = Rs. 2000. |
∴ Gain = Rs. (2000 - 1950) = Rs. 50.
Correct Answer: 13
Explanation:
Since 39 persons can repair a road by working 5 hours in a day in 12 days.
? 1 persons can repair a road by working 5 hours in a day in 39 x 12 days.
? 1 persons can repair a road by working 1 hours in a day in 39 x 12 x 5 days.
? 30 persons can repair a road by working 1 hours in a day in 39 x 12 x 5 / 30 days.
? 30 persons can repair a road by working 6 hours in a day in 39 x 12 x 5 / 30 x 6 days.
? 30 persons can repair a road by working 6 hours in a day in 39 x 2 x 1 / 6 days.
? 30 persons can repair a road by working 6 hours in a day in 39 x 1 x 1 / 3 days.
? 30 persons can repair a road by working 6 hours in a day in 13 days.
Correct Answer: 10 points
Explanation:
A : C = 100 : 72.
| ∴ | B | = | ❨ | B | x | A | ❩ | = | ❨ | 80 | x | 100 | ❩ | = | 10 | = | 100 | = 100 : 90. |
| C | A | C | 100 | 72 | 9 | 90 |
∴ B can give C 10 points.
Correct Answer: 5 kmph
Explanation:
| Then, | 30 | - | 30 | = 3 |
| x | 2x |
⟹ 6x = 30
⟹ x = 5 km/hr.
Correct Answer: 45.6 kg
Explanation:
Let the required weight be w kg.
Less length, Less weight (Direct proportion)
45 : 12 :: 171 : w
? w = (12 x 171)/45 = 45.6 kg
Correct Answer: $ 5 Million
Explanation:
Correct Answer: 24 yr
Explanation:
Let the sum be Rs 'y' , so amount = 2y
Simple interest =Rs y
Let R be the rate of interest,
R= (100 x SI)/(P x T) = (100 x y) / (y x 8) = 12.5 %
where SI= Simple Interest
P = Principal
T = Time
now, the needed amount = Rs 4y
since SI = Rs (4x-x)= Rs 3y
since T= (100 x SI)/(P x R)
= (100 x 3y )/(y x 125)= 24 yr
Correct Answer: 9
Explanation:
Let us assume the first Odd number is a.
then 2nd odd number = a + 2
and 3rd odd number = a + 4
According to question,
Sum of three consecutive odd numbers is 20 more than the first of these numbers;
a + (a + 2) + (a + 4) = a + 20
? a + a + 2 + a + 4 - a = 20
? 2a + 6 = 20
? 2a + 6 = 20
? 2a = 20 - 6
? 2a = 14
? a = 7
The First odd number a = 7
The second odd number = a + 2 = 7 + 2 = 9
Second odd number is middle number = 9
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