Directions (1–5): Read the given information and answer the following questions:
A is the son of B. C, B’s sister, has a son D and a daughter E. F is the maternal uncle of D.
1. How is A related to D?
A is the son of B and D is the son of the sister of B. So, A is the cousin of D.
2. How is E related to F?
E is the daughter of C and D is the son of C. So, F, who is the maternal uncle of D, is also the maternal uncle of E. Thus, E is the niece of F.
3. How many nephews does F have?
Clearly, F is the maternal uncle of D means F is the brother of D’s mother i.e. F is the brother of C. C is the sister of B. So, F is the brother of B who is A’s mother or father. Thus, F is the maternal uncle of A. So, A and D are the nephews of F i.e., F has two nephews.
4. Manisha is sitting in between Kamini and Suvarna. Smita is right to Suvarna. Kamini is left to Manisha. Select the correct seating order.
L----------------------------> R
Kamini Manisha Suvarna Smita
5. Two statements are given followed by two conclusions I and II. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Indicate your answer.
Statements:
1. Teachers are role models of the students.
2. Teachers are responsible for developing scientific attitude in their students.
Conclusions:
I. Students do not have scientific attitude.
II. By and large teachers can influence scientific attitude of the students.
Directions (Q.6-10): In the following passage there are blanks each of which has been numbered. These numbers are printed below the passage and against each, five words/phrases are suggested one of which fits the blank appropriately. Find out the appropriate word/phrase in each case:
The second encouraging feature of the (6) is that a wide spectrum of parties has supported it, raising the (7) of a growing united front of opposition. And Sonia Gandhi’s (8) in the agitation reflect a potentially interesting emergence in the Congress party, one in which the technocrats approved by international economic interests and domestic elites might cease to be the (9) influence on its political and economic (10). If that were to happen, there may be real prospects for an alliance to emerge against the present government in which the Left parties and the AAP put aside their seemingly unburiable hatchets with the Congress, hatchets that owed to their perfectly justified disgust with the second regnum of the United Progressive Alliance (UPA).
6.
7.
8.
9.
10. She swim ________the lake for the mangoes.
11. About the number of pairs which have 16 as their HCF and 136 as their LCM, the conclusion can be
HCF is always a factor of LCM. ie., HCF always divides LCM perfectly.
12. The HCF of two numbers is 12 and their difference is also 12. The numbers are
The difference of required numbers must be 12 and every number must be divisible by 12. Therefore, they are 84, 96.
13. The HCF of two numbers is 16 and their LCM is 160. If one of the numbers is 32, then the other number is
The number = HCF×LCMGiven number=16×16032=80
14. HCF of three numbers is 12. If they are in the ratio 1:2:3, then the numbers are
Let the numbers be a, 2a and 3a.
Then, their HCF = a so a=12
The numbers are 12,24,36
15. Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
LCM of 2,4,6, 8,10 and 12 is 120. So, the bells will toll simultaneously after 120 seconds.
i.e.2 minutes. In 30 minutes, they (302+1) toll times ie.16 times.