1. A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A. 3/4
B. 4/7
C. 1/8
D. 3/7
Answer: Option (B)
Explanation:
Let number of balls = (6 + 8) = 14.
The number of white balls = 8.
P (drawing a white ball) = 8/14 = 4/7.
2. In a question paper, there are four multiple choice type questions, each question has five choices with only one choice for its correct answer. What is the total number of ways in which a candidate will not get all the four answers correct?
A. 19
B. 120
C. 624
D. 1024
Answer: Option (C)
Explanation:
Multiple choice type questions = 1 2 3 4
Total number of ways = 5x5x5x5 =625.
A number of correct answer = 1.
Number of false answers = 625-1 =624.
3. A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair while preparing the bill clerk inter-changed the number of black and brown pairs by mistake which increased the bill by 100% what was the number of pair of brown socks in the original order?
Answer: Option (D)
Explanation:
Let the bought x pairs of brown socks and the price of each brown pair be Y.
The total cost = 5x3Y+xy
Changed cost = 5xY+x*3Y
According to the question.
5y+3xy –(15y+xy)/15y+xy x 100% = 100%
=> 5y+3xy-15y-xy/ 15y+xy x100% = 100%
=> 5y+3xy = 15y+xy+15y+xy
=> 5y+3xy = 30y+2xy
=> xy= 25y
=> x=25.
Hence the original pair of brown socks = 25.
Direction (4-7): Analyze the following pie chart and answer the questions given below. Given is the distribution of the monthly family budget of a person X. The total earnings of person X are Rs. 3,600 per month basic, plus 10% as transport and meals allowance on the monthly salary.
4. Calculate the amount of expenditure on Education and Maintenance per month,if a person X pays 23% of its total earnings as Education and Maintenance of children?
A. Rs. 910.8
B. Rs. 900
C. Rs. 920
D. Rs. 915
Answer: Option (A)
Explanation:
Total Emoluments = 3600+ 10% of 3600 = Rs. 3960
23% of 3960 = Rs. 910.8
5. What is the medical and miscellaneous expenditure per annum (in Rs)?
A. 4,854
B. 5,330.16
C. 6177.6
D. 4,485.6
Answer: Option (C)
Explanation:
Total Emoluments = 3600+ 10% of 3600 = Rs. 3960
Medical and Miscellaneous expenditure of total Salary
= 13% of Rs. 3960 = Rs.514.8
Expenditure per annum = Rs. 514.8 × 12 = Rs. 6177.6.
6. What is the approximate earning left of person X (in Rupees) per month after deducting payment of education and maintenance?
A. 3049.2 p.m.
B. 2,591p.m
C. 2,355 p.m.
D. 2,350 p.m
Answer: Option (A)
Explanation:
Total Emoluments = 3600+ 10% of 3600 = Rs. 3960
Education and Maintenance of children =23% of 3960 = Rs. 910.8
Take Home Pay Packet = Rs. 3960 - 910.8
= Rs. 3049.2
7. What is the total amount per month the family spends on house rent and statutory deductions towards PPF expenses?
A. Rs. 1,100
B. Rs. 1,259
C. Rs. 1,188
D. Rs. 1,140
Answer: Option (C)
Explanation:
Expenditure on house = Rs. 712.8
Expenditure on statutory deductions towards PPF expenses=475.2
⇒ Total on both = 712.8 + 475.2 = 1188.
Direction (8 - 10 ): In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the 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
(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
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
(D) If the data given in both statements I and II together are not sufficient to answer the question and
(E) If the data in both statements I and II together are necessary to answer the question.
8. What is Nitin's rank from the top in a class of forty students?
Statements:
i. There are ten students between Nitin and Deepak.
ii. Deepak is twentieth from the top.
A. I alone is sufficient while II alone is not sufficient
B. II alone is sufficient while I alone am not sufficient
C. Either I or II is sufficient
D. Neither I nor II is sufficient
E. Both I and II are sufficient
Answer: Option (D)
Explanation:
Since there are ten students between Nitin and Deepak, so Nitin maybe eleven ranks above or below Deepak. Thus, Nitin maybe 9th or 31st from the top.
9. T studies in which of the schools B, C, D, E, and F?
Statements:
i. T does not study in the same school as either R or J.
ii. R and J study in schools D and F respectively.
A. I alone is sufficient while II alone is not sufficient
B. II alone is sufficient while I alone is not sufficient
C. Either I or II is sufficient
D. Neither I nor II is sufficient
E. Both I and II are sufficient
Answer: Option (D)
Explanation:
As given in I and II, R studies in school D and J studies in school F. So, T does not study in school D or school F. Thus, T studies in any one of the schools B, C or E.
10. How is Divya related to Shaloo?
Statements:
i. Divya's mother is the sister of Shaloo's father.
ii. Shaloo is the daughter of Divya's grandfather's only child.
A. I alone is sufficient while II alone is not sufficient
B. II alone is sufficient while I alone is not sufficient
C. Either I or II is sufficient
D. Neither I nor II is sufficient
E. Both I and II are sufficient
Answer: Option (C)
Explanation:
From I, we conclude that Divya's mother is Shaloo's aunt or Divya is Shaloo's cousin.
Now, Divya's grandfather's only child is Divya's parent. So, from II, we conclude that Shaloo and Divya are daughters of the same parents i.e. Divya is Shaloo's sister.