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प्र: Tilak rides on a cycle to a place at speed of 22 kmph and comes back at a speed of 20 kmph. If the time taken by him in the second case is 36 min. more than that of the first case, what is the total distance travelled by him (in km)? 2950 0

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    132 km
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  • 2
    264 km
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  • 3
    134 km
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  • 4
    236 km
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उत्तर : 2. "264 km"
व्याख्या :

Answer: B) 264 km Explanation: Let the distance travelled by Tilak in first case or second case = d kms Now, from the given data, d/20 = d/22 + 36 min => d/20 = d/22 + 3/5 hrs => d = 132 km.   Hence, the total distance travelled by him = d + d = 132 + 132 = 264 kms.

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उत्तर : 1. "11 days"
व्याख्या :

Answer: A) 11 days Explanation: Let 'n' number of days it take to complete.   we know that sum of n number= n/2[2a+(n-1)d]where a=20,d=1;n/2[2x20+(n-1)1]=275n[n+39]=550n2 + 39n - 550 = 0 n2+ 50n - 11n - 550 = 0(n-11) (n-50) = 0n-11 = 0;n = 11(Days).

प्र: The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a.  ? 2947 0

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    Rs. 22.5
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  • 2
    Rs. 2.5
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  • 3
    Rs. 202
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  • 4
    Rs. 25
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उत्तर : 1. "Rs. 22.5"
व्याख्या :

Answer: A) Rs. 22.5 Explanation: We know that I = PTR/100=> P = 20250/4.5 = 4500Now, new Interest at 5% = 4500x1x5/100 = 225Now the additional amount = 225 - 202.5 = Rs. 22.5

प्र: Which of the following is the strongest base? 2946 0

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    LiCH3
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  • 2
    LiF
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    LiOH
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  • 4
    LiNH2
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उत्तर : 1. "LiCH3"
व्याख्या :

Answer: A) LiCH3 Explanation: The stability of the ions is determined by the energy of the lone pairs. Carbon has the least effective nuclear charge (Zeff) and so the lone pair on the CH3− ion has the highest energy, making it the least stable ion and so the strongest base. The Zeff increases as we move across the period until we get to fluorine which has the greatest Zeff and so its lone pairs have the lowest energy, making F− the least basic ion.   In order of decreasing basicity they are ranked LiCH3 > LiNH2 > LiOH > LiF. We are dealing with the ions F−, OH−, NH2− and CH3− and so the factor which influences their basicity is the stability of the ion compared to its conjugate acid.

प्र: A box contains 4 different black balls, 3 different red balls and 5 different blue balls. In how many ways can the balls be selected if every selection must have at least 1 black ball and one red ball ? 2945 0

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    24 - 1
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    2425-1
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  • 3
    (24-1)(23-1)25
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  • 4
    None
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उत्तर : 3. "(24-1)(23-1)25"
व्याख्या :

Answer: C) C Explanation: It is explicitly given that all the 4 black balls are different, all the 3 red balls are different and all the 5 blue balls are different. Hence this is a case where all are distinct objects.   Initially let's find out the number of ways in which we can select the black balls. Note that at least 1 black ball must be included in each selection.   Hence, we can select 1 black ball from 4 black ballsor 2 black balls from 4 black balls.or 3 black balls from 4 black balls.or 4 black balls from 4 black balls.   Hence, number of ways in which we can select the black balls   = 4C1 + 4C2 + 4C3 + 4C4= 24-1 ........(A)   Now let's find out the number of ways in which we can select the red balls. Note that at least 1 red ball must be included in each selection.   Hence, we can select 1 red ball from 3 red ballsor 2 red balls from 3 red ballsor 3 red balls from 3 red balls   Hence, number of ways in which we can select the red balls= 3C1 + 3C2 + 3C3=23-1........(B)   Hence, we can select 0 blue ball from 5 blue balls (i.e, do not select any blue ball. In this case, only black and red balls will be there)or 1 blue ball from 5 blue ballsor 2 blue balls from 5 blue ballsor 3 blue balls from 5 blue ballsor 4 blue balls from 5 blue ballsor 5 blue balls from 5 blue balls.   Hence, number of ways in which we can select the blue balls= 5C0 + 5C1 + 5C2 + … + 5C5= 25..............(C)   From (A), (B) and (C), required number of ways=  2524-123-1

प्र: GNLF stands for 2944 0

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    Gorkha National Liberation Front
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  • 2
    Gross National Liberation Form
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  • 3
    Both option A and B
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  • 4
    None of the above
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उत्तर : 1. "Gorkha National Liberation Front"
व्याख्या :

Answer: A) Gorkha National Liberation Front Explanation: GNLF stands for Gorkha National Liberation Front.   Gorkha National Liberation Front (GNLF) is a political party in the Darjeeling District of West Bengal, India. It was formed in 1980 by Subhash Ghisingh with the objective of demanding a Gorkhaland state within India.

प्र: A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 840 km ? 2943 0

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    39 days
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  • 2
    37 days
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  • 3
    35 days
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  • 4
    33 days
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उत्तर : 3. "35 days"
व्याख्या :

Answer: C) 35 days Explanation: Distance d = 1200kmlet S be the speed he walks 15 hours a day(i.e 24 - 9)so totally he walks for 70 x 15 = 1050hrs. S = 1200/1050 => 120/105 = 24/21 => 8/7kmph given 1 1/2 of previous speedso 3/2 * 8/7= 24/14 = 12/7 New speed = 12/7kmph Now he rests 10 hrs a day that means he walks 14 hrs a day. time = 840 x 7 /12 => 490 hrs=> 490/14 = 35 days So he will take 35 days to cover 840 km.

प्र: Most important weather phenomena occur in the 2942 0

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    Troposphere
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    Stratosphere
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    Ionosphere
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  • 4
    Thermosphere
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उत्तर : 4. "Thermosphere"
व्याख्या :

Answer: D) Thermosphere Explanation: Most important weather phenomena occur in the layer of Thermosphere. Most of the weather phenomenon occur in the layer of Troposphere.

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