RRB Group D Mock Test - 4 - RRB Group D / RPF Constable
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One side of a right triangle measures 12 cm and the difference between the hypotenuse and the other side is 8 cm. The area of the triangle is
Detailed Solution for RRB Group D Mock Test - 4 - Question 3
Let the hypotenuse = x cm
Then the other side is (x - 8) cm
By Pythagoras theorem
(x - 8)2 + (12)2 = x2
⇒ x2 + 64 - 16x + 144 = x2
⇒ -16x = -208
⇒ x = 208/16 = 13 cm
∴ Hypotenuse = 13cm
so the other side = (13 - 8) = 5cm
Area = 1/2 x 12 x 5
The average weight of three men A,B and C is 84 kg. D joins them and the average weight of the four becomes 80 kg. If E, whose weight is 3 kg more than that of D,replaces A,the average weight of B,C,D and E becomes 79 kg. The weight of A is
A motor boat whose speed is 15 km/hr in still water goes 30 km downstream and comes back in 4 hrs and and 30 minutes. Determine the speed of the stream.
Detailed Solution for RRB Group D Mock Test - 4 - Question 6
Let x km/hr be the speed of water
The speed of motor boat in still water is 15 km/hr, therefore, its speed downstream is (15 + x) km/hr and the speed upstream is (15 - x) km/hr
Time taken for given 30 km downstream = 30/15 + x hours
Time taken for going 30 km upstream = 30/15 - x hours
Since the total time is given to be 4 hours 30 minutes
or 1800 = 9(225 - x2)
or 200 - 225 + x2 = 0
or x2 = 25
⇒ x = 5, - 5
∴ x = 5 [as x cannot be negative so x = -5 is rejected]
Hence the speed of water = 5 km/hr
A is the father of C. But C is not his son. E is the daughter of C. F is the spouse of A. B is the brother of C. D is the son of B. G is the spouse of B. H is the father of G. Who is the Grand mother of D?
Four positions of a dice are shown below. What number must be at the bottom face when the dice is in the position as shown in fig. (III)?
Detailed Solution for RRB Group D Mock Test - 4 - Question 19
From figure (I), (II), (IV) we conclude that 5, 6, 1 and 2 lie adjacent to 4. Hence, 3 must lie opposite 4 and vice-versa. In fig. (III), 3 is at the top and consequently 4 must lie at the bottom face.
Soni travelled 9 km to the west, then turned right and travelled 7 km, then turned left and travelled 8 km, then turned back and travelled 11km, then turned right and travelled 7 km. How far is he from the starting point?
With reference to the latest developments in stem cell research, consider the following statements : 1. The only source of human stem cells are the embryos at blastocyst stage. 2. The stem cells can be derived without causing destruction to blastocysts. 3. The stem cells can regenerate themselves in vitro virtually forever. 4. Indian research centres also created a few cell lines which can be developed into many types of tissues. Which of these statements are correct?
How many such pairs of letters are there in the word MODERATE each of which has as many letters between them in the word as in the English alphabet?
Detailed Solution for RRB Group D Mock Test - 4 - Question 50
There are 4 pairs in the word 'MODERATE' i.e.
(1) O and R - 2 letters between them - D,E
In the alphabat series also there are 2 letters between O and R i.e. P,Q
(2) D and A - 2 letters between them - E, R
In the alphabat series there are 2 letters between D and A i.e. C,B
(3) O and T - 4 letters between them - DERA
In the alphabat series there are 4 letters between O and T i.e. P,Q, R, S
(4) R and T - 1 letters between them - A
In the alphabat series there are 1 letter between R and T i.e. S
So the CORRECT ANSWER is More than 3 i.e. (E)
Atul and Babita enter into a business partnership in which Atul contributes Rs 2000 for 9 months and Babita contributes Rs 5000 for 7 months. A profit of Rs 1100 will be divided between Atul and Babita in the ratio of
Which of the following statements regarding cellulose are correct ? (1) It is a naturally occurring organic substance found in plants (2) It is used for making rayon (3) It consists of long unbranched chain of glucose units
A sum of money lent out at simple interests amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is :
Detailed Solution for RRB Group D Mock Test - 4 - Question 78
Principal + SI for 2 years = 720 Rs. ……(I)
Principal + SI for 7 years = 1020 Rs. ……(II)
Subtracting equation (I) from (II),
S.I. for 5 years = (1020 – 720) = 300 Rs.
∴ S.I. for 2 years = 300 x 2/5 = 120 Rs
∴ Principal = (720 – 120) = 600 Rs.