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- Question
Nitin's age was equal to square of some number last year and the following year it would be cube of a number. If again Nitin's age has to be equal to the cube of some number, then for how long he will have to wait?
Options- A. 10 years
- B. 38 years
- C. 39 years
- D. 64 years
- Correct Answer
- 38 years
ExplanationClearly, we have to first find two numbers whose difference is 2 and of which the smaller one is a perfect square and the bigger one a perfect cube.Such numbers are 25 and 27.
Thus, Nitin is now 26 years old. Since the next perfect cube after 27 is 64,
so required time period = (64 - 26) years = 38 years.
More questions
- 1. 7, 12, 40, 222, 1742, 17390, 208608
Options- A. 7
- B. 12
- C. 40
- D. 1742 Discuss
Correct Answer: 1742
Explanation:
The pattern of number series is as follows :
7 x 2 - 2 = 12
12 x 4 - (2 + 6) = 48 - 8 = 40
40 x 6 - (8 + 10) = 240 - 18 = 222
222 x 8 - (18 + 14) = 1776 - 32 = 1744 ? 1742
1744 x 10 - (32 + 18) = 17440-50=17390- 2. AGJ : DKO : : STD :?
Options- A. VXI
- B. XVW
- C. XWV
- D. WXI Discuss
Correct Answer: VXI
Explanation:
AGJ : DKO ( A + 3 = D, G + 4 = K, J + 5 = O)
STD : VXI ( S + 3 = V, T + 4 = X, D + 5 = I)- 3. Folketing : Stortling : Knesset
Options- A. They are the name of currencies
- B. They are the name of rivers
- C. They are the name of Parliaments
- D. They are the name of cities Discuss
Correct Answer: They are the name of Parliaments
Explanation:
'Folketing' is the parliament of 'Denmark'; 'Stortling' is the parliament of 'Norway' 'Knesset' is the parliament of Israel.
- 4. ?tu?rt?s? ?us rtu?
Options- A. rsurts
- B. rsurtr
- C. rsutrr
- D. rtusru Discuss
Correct Answer: rsurts
Explanation:
As per given question, the letter series is following the below pattern.
r tu s
After using the pattern the complete letter series will be as below.
r tu s/rt us/rtus/rtus- 5. NA
Options- A. Gather
- B. Congregate
- C. Accumulate
- D. Aggregate Discuss
Correct Answer: Aggregate
Explanation:
'Aggregate' does not belong to that group because all are related to collect something.
- 6. If the positions of the first and the fifth digits of the number 83721569 are interchanged, similarly, the positions of the second and the sixth digits are interchanged, and so on, which of the following will be the third from the right end after the rearrangement?
Options- A. 6
- B. 3
- C. 2
- D. 7 Discuss
Correct Answer: 3
Explanation:
According to question,
If the positions of the first and the fifth digits of the number 83721569 are interchanged.
After interchange the new number = 13728569
similarly, the positions of the second and the sixth digits are interchanged.
Again after interchange the new number = 15728369
New arrangement of numbers is as follows: 15728369
Hence, third number from right end is 3.- 7. 'Cell' is related to 'Tissue' in the same way as 'Tissue' related to
Options- A. Object
- B. Ear
- C. Organ
- D. Limb Discuss
Correct Answer: Organ
Explanation:
'Tissue' is made up of 'Cells' and 'Organ' is made up of 'Tissues'.
- 8. Statement:
"Well, if we accept all the demands - we'll end up with 763 new states!" --- A caption in a cartoon
Assumptions:
I. Demands have been voiced for the creation of 763 states.
II. The demands of new states is hitting the headlines.
Options- A. if only assumption I is implicit.
- B. if only assumption II is implicit.
- C. if either I or II is implicit.
- D. if neither I nor II is implicit. Discuss
Correct Answer: if only assumption II is implicit.
Explanation:
Note that the caption is one in a cartoon. So 763 is clearly an exaggeration.
- 9. Statement
The driver of the huge truck pulled the emergency breaks to avoid hitting the auto rickshaw which suddenly came in front of the truck.
Assumptions
I. The auto rickshaw driver may be able to the steer his vehicle away from the on coming truck.
II. The truck driver may be able to stop the truck before it hits the auto rickshaw.
Options- A. if only Assumption I is implicitq
- B. if only Assumption II is implicit
- C. If either assumption I or II is implicit
- D. if neither assumption I nor II is implicit Discuss
Correct Answer: if only Assumption II is implicit
Explanation:
The driver does not have control on what the auto driver will do. Hence, I is invalid. But II is a valid assumption because if one takes an action he assumes its outcome.
- 10. Statements:
R ? B, B © N, N @ T
Conclusions:
I. N @ R II. T ? B III. T ? R
Options- A. None is true
- B. Only I is true
- C. Only II is true
- D. Only III is true Discuss
Correct Answer: Only I is true
Explanation:
R > B ...(i) B ? N ...(ii) N < T ...(iii)
From (i) and (ii) R > B ? N or N < R
Hence I is true
From (ii) and (iii) B and T can't be compared.
Hence III does not follow. Nor does III subsequently.
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