Monday 15 August 2011

cube and cuboids

The following questions are based on the information given below:
  1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
  2. Two faces measuring 4 cm x 1 cm are coloured in black.
  3. Two faces measuring 6 cm x 1 cm are coloured in red.
  4. Two faces measuring 6 cm x 4 cm are coloured in green.
  5. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).
1.  How many cubes having red, green and black colours on at least one side of the cube will be formed ?
A. 16B. 12
C. 10D. 4
Answer & Explanation
Answer: Option D
Explanation:


Such cubes are related to the corners of the cuboid. Since the number of corners of the cuboid is 4.
Hence, the number of such small cubes is 4.
2.  How many small cubes will be formed ?
A. 6B. 12
C. 16D. 24
Answer & Explanation
Answer: Option D
Explanation:


Number of small cubes = l x b x h = 6 x 4 x 1 = 24
3.  How many cubes will have 4 coloured sides and two non-coloured sides ?
A. 8B. 4
C. 16D. 10
Answer & Explanation
Answer: Option B
Explanation:


Only 4 cubes situated at the corners of the cuboid will have 4 coloured and 2 non-coloured sides.
4.  How many cubes will have green colour on two sides and rest of the four sides having no colour ?
A. 12B. 10
C. 8D. 4
Answer & Explanation
Answer: Option C
Explanation:


There are 16 small cubes attached to the outer walls of the cuboid.
Therefore remaining inner small cubes will be the cubes having two sides green coloured.
So the required number = 24 - 16 = 8
5.  How many cubes will remain if the cubes having black and green coloured are removed ?
A. 4B. 8
C. 12D. 16
Answer & Explanation
Answer: Option D
Explanation:


Number of small cubes which are Black and Green is 8 in all.
Hence, the number of remaining cubes are = 24 - 8 = 16
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verbal reasoning

1.  Pointing to a photograph of a boy Suresh said, "He is the son of the only son of my mother." How is Suresh related to that boy?
A. BrotherB. Uncle
C. CousinD. Father
Answer & Explanation
Answer: Option D
Explanation:
The boy in the photograph is the only son of the son of Suresh's mother i.e., the son of Suresh. Hence, Suresh is the father of boy.
2.  If A + B means A is the mother of B; A - B means A is the brother B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?
A. Q - N + M x PB. P + S x N - Q
C. P - M + N x QD. Q - S % P
Answer & Explanation
Answer: Option C
Explanation:

P - M → P is the brother of M
M + N → M is the mother of N
N x Q → N is the sister of Q
Therefore, P is the maternal uncle of Q.
3.  If A is the brother of B; B is the sister of C; and C is the father of D, how D is related to A?
A. BrotherB. Sister
C. NephewD. Cannot be determined
Answer & Explanation
Answer: Option D
Explanation:

If D is Male, the answer is Nephew.
If D is Female, the answer is Niece.
As the sex of D is not known, hence, the relation between D and A cannot be determined.
Note: Niece - A daughter of one's brother or sister, or of one's brother-in-law or sister-in-law. Nephew - A son of one's brother or sister, or of one's brother-in-law or sister-in-law.
4.  If A + B means A is the brother of B; A - B means A is the sister of B and A x B means A is the father of B. Which of the following means that C is the son of M?
A. M - N x C + FB. F - C + N x M
C. N + M - F x CD. M x N - C + F
Answer & Explanation
Answer: Option D
Explanation:

M x N → M is the father of N
N - C → N is the sister of C
and C + F → C is the brother of F.
Hence, M is the father of C or C is the son of M.
5.  Introducing a boy, a girl said, "He is the son of the daughter of the father of my uncle." How is the boy related to the girl?
A. BrotherB. Nephew
C. UncleD. Son-in-law
Answer & Explanation
Answer: Option A
Explanation:
The father of the boy's uncle → the grandfather of the boy and daughter of the grandfather → sister of father.
6.  Pointing to a photograph Lata says, "He is the son of the only son of my grandfather." How is the man in the photograph related to Lata?
A. BrotherB. Uncle
C. CousinD. Data is inadequate
Answer & Explanation
Answer: Option A
Explanation:
The man in the photograph is the son of the only son of Lata's grandfather i.e., the man is the son of Lata's father. Hence, the man is the brother of Lata.
7.  If A + B means A is the brother of B; A x B means A is the son of B; and A % B means B is the daughter of A then which of the following means M is the maternal uncle of N?
A. M + O x NB. M % O x N + P
C. M + O % ND. None of these
Answer & Explanation
Answer: Option D
Explanation:
Because the sex of O is not known.
8.  If D is the brother of B, how B is related to C? To answer this question which of the statements is/are necessary?
  1. The son of D is the grandson of C.
  2. B is the sister of D.
A. Only 1B. Only 2
C. Either 1 or 2D. 1 and 2 both are required
Answer & Explanation
Answer: Option D
Explanation:

Given: D is the brother of B.
From statement 1, we can detect that D is son of C (son of D is the grandson of C).
From statement 2, we can detect that B is 'Female' (sister of D).
Therefore, B is daughter of C.
9.  If A + B means A is the father of B; A - B means A is the brother B; A % B means A is the wife of B and A x B means A is the mother of B, which of the following shows that M is the maternal grandmother of T?
A. M x N % S + TB. M x N - S % T
C. M x S - N % TD. M x N x S % T
Answer & Explanation
Answer: Option A
Explanation:

M x N → M is the mother of N
N % S → N is the wife of S
and S + T → is the father of T.
Hence, M is the maternal grandmother of T.
10.  Pointing to a photograph. Bajpai said, "He is the son of the only daughter of the father of my brother." How Bajpai is related to the man in the photograph?
A. NephewB. Brother
C. FatherD. Maternal Uncle
Answer & Explanation
Answer: Option D
Explanation:
The man in the photo is the son of the sister of Bajpai. Hence, Bajpai is the maternal uncle of the man in the photograph.
11.  Deepak said to Nitin, "That boy playing with the football is the younger of the two brothers of the daughter of my father's wife." How is the boy playing football related to Deepak?
A. SonB. Brother
C. CousinD. Brother-in-law
12.  Pointing a photograph X said to his friend Y, "She is the only daughter of the father of my mother." How X is related to the person of photograph?
A. DaughterB. Son
C. NephewD. Cannot be decided
13.  Veena who is the sister-in-law of Ashok, is the daughter-in-law of Kalyani. Dheeraj is the father of Sudeep who is the only brother of Ashok. How Kalyani is related to Ashok?
A. Mother-in-lawB. Aunt
C. WifeD. None of these
14.  If A + B means A is the sister of B; A x B means A is the wife of B, A % B means A is the father of B and A - B means A is the brother of B. Which of the following means T is the daughter of P?
A. P x Q % R + S - TB. P x Q % R - T + S
C. P x Q % R + T - SD. P x Q % R + S + T
15.  Pointing to a woman, Abhijit said, "Her granddaughter is the only daughter of my brother." How is the woman related to Abhijit?
A. SisterB. Grandmother
C. Mother-in-lawD. Mother
16.  Amit said - "This girl is the wife of the grandson of my mother". How is Amit related to the girl?
A. FatherB. Grandfather
C. HusbandD. Father-in-law
Answer & Explanation
Answer: Option D
Explanation:
The girl is the wife of grandson of Amit's mother i.e., the girl is the wife of son of Amit. Hence, Amit is the father-in-law of the girl.
17.  A and B are children of D. Who is the father of A? To answer this question which of the statements (1) and (2) is necessary?
  1. C is the brother of A and the son of E.
  2. F is the mother B.
A. Only (1)B. Only (2)
C. Either (1) or (2)D. (1) and (2) both
Answer & Explanation
Answer: Option B
Explanation:

A and B are children of D.
From (1), C is the brother B and son of E.
Since, the sex of D and E are not known. Hence (1) is not sufficient to answer the question.
From (2). F is the mother of B. Hence, F is also the mother of A. Hence D is the father of A.
Thus, (2) is sufficient to answer the question.
18.  Pointing towards a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man?
A. MotherB. Grandmother
C. SisterD. Daughter
Answer & Explanation
Answer: Option A
Explanation:

Only daughter of my mother → myself.
Hence, the woman is the mother of the man.
19.  If P $ Q means P is the brother of Q; P # Q means P is the mother of Q; P * Q means P is the daughter of Q in A # B $ C * D, who is the father?
A. DB. B
C. CD. Data is inadequate
Answer & Explanation
Answer: Option A
Explanation:
A is the mother of B, B is the brother of C and C is the daughter of D. Hence, D is the father. 
A      (Parents)        D
|                       |
|                       |
B - is - Brother - of - C
20.  Introducing Suchendra, Naman says, "She is the wife of only nephew of only brother of my mother." How Suchendra is related to Naman?
A. WifeB. Sister
C. Sister-in-lawD. Data is inadequate
Answer & Explanation
Answer: Option A
Explanation:

Brother of mother means maternal uncle. Hence only nephew of Naman's maternal uncle means Naman himself. Therefore Suchendra is the wife of Naman.
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Sunday 14 August 2011

model test 3

1. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
A.
9000
B.
9400
C.
9600
D.
9800
2. If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
A.
55
601
B.
601
55
C.
11
120
D.
120
11
3.
If a = 0.1039, then the value of 4a2 - 4a + 1 + 3a is:
A.
0.1039
B.
0.2078
C.
1.1039
D.
2.1039
4. The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:
A.
380
B.
395
C.
400
D.
425
Direction (for Q.No. 5):
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
5.
What is the two-digit number?
I.  The difference between the tow-digit number and the number formed by interchanging the digits is 27.
II.  The difference between the two digits is 3.
 III.  The digit at unit's place is less than that at ten's place by 3.
A.
I and II only
B.
I and III only
C.
All I, II and III
D.
I, and either II or III
E.
Even with all I, II and III, answer cannot be give.
6. Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
A.
24
B.
27
C.
40
D.
Cannot be determined
E.
None of these
Direction (for Q.No. 7):
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
7.
What is Sonia's present age?
I.  Sonia's present age is five times Deepak's present age.
 II.  Five years ago her age was twenty-five times Deepak's age at that time.
A.
I alone sufficient while II alone not sufficient to answer
B.
II alone sufficient while I alone not sufficient to answer
C.
Either I or II alone sufficient to answer
D.
Both I and II are not sufficient to answer
E.
Both I and II are necessary to answer
8. If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
A.
0
B.
2
C.
4
D.
6
9. Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
A.
30%
B.
33 1 %
3
C.
35%
D.
44%
Direction (for Q.No. 10):
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
10.
What is the length of a running train?
I.  The train crosses a man in 9 seconds.
 II.  The train crosses a 240 metre long platform in 24 seconds.
A.
I alone sufficient while II alone not sufficient to answer
B.
II alone sufficient while I alone not sufficient to answer
C.
Either I or II alone sufficient to answer
D.
Both I and II are not sufficient to answer
E.
Both I and II are necessary to answer
Direction (for Q.No. 11):
Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.
11.
At what time will the train reach city X from city Y?
I.  The train crosses another train of equal length of 200 metres and running in opposite directions in 15 seconds.
II.  The train leaves city Y and 7.15 a.m. for city X situated at a distance of 558 km.
 III.  The 200 metres long train crosses a signal pole in 10 seconds.
A.
I only
B.
II only
C.
III only
D.
II and III only
E.
All I, II and III are required.
Direction (for Q.No. 12):
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
12.
What is the speed of the boat in still water?
I.  The speed downstream is 12 kmph.
II.  The speed upstream is 4 kmph.
 III.  In a to and fro journey between two points, the average speed of the boat was 6 kmph.
A.
I and II only
B.
All I, II and III
C.
III, and either I or II
D.
Any two of the three
E.
None of these
13. Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
A.
Rs. 6400
B.
Rs. 6500
C.
Rs. 7200
D.
Rs. 7500
E.
None of these
Direction (for Q.No. 14):
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
14.
What is the principal sum?
I.  The sum amounts to Rs. 690 in 3 years at S.I.
II.  The sum amounts to Rs. 750 in 5 years at S.I.
 III.  The rate of interest is 5% p.a.
A.
I and III only
B.
II and III only
C.
I and II only
D.
I and III only, or II and III only
E.
Any two of the three
15. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
A.
84
B.
90
C.
168
D.
336
16. How many times in a day, are the hands of a clock in straight line but opposite in direction?
A.
20
B.
22
C.
24
D.
48
17.
The cost price of a Rs. 100 stock at 4 discount, when brokerage is 1 % is:
4
A.
Rs. 95.75
B.
Rs. 96
C.
Rs. 96.25
D.
Rs. 104.25
18. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
A.
564
B.
645
C.
735
D.
756
E.
None of these
19. The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:
A.
Rs. 1386
B.
Rs. 1764
C.
Rs. 1575
D.
Rs. 2268
Direction (for Q.No. 20):
Find the odd man out.
20. 41, 43, 47, 53, 61, 71, 73, 81
A.
61
B.
71
C.
73
D.
81
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