Ongoing through the options, Let current Father age = 73; Sons age = 37and, f = fathers age and s = sons age.
Then, according to the question,
f = 10a + b and s = a + 10b;
=> f - 1 = 2(s - 1) so
=> f = 2s - 2 + 1
=> f = 2s - 1
Therefore,
10a + b = 2a + 20b - 1
8a = 19b - 1, making a = 7 and b = 3.
So Father is 73 and son is 37. (Last year f = 72, s = 36)
Let the number be x.
According to the question,
=> x $\times$ 5/4 - x $\times$ 4/5 = 81
=> x $\times$ (25 - 16)/20 = 81.
=> x $\times$ 9/20 = 81.
=> x = 180.
If x is side of original cube, then $x^3$ = 512
When each side is doubled,
Then vol = $(2x) ^3$ = $8x ^ 3$ = 8 $\times$ 512 = 4096 cubic mtr.
Given, total distance=180 miles.
Time = 3hrs 45 min = 15/4hrs.
Average speed = Total Distance / Total Time = 180/(15/4) = 48 miles/hr.
Average of 3 number is 135.
=> (x + y + z) / 3 = 135
Given Difference between 2 values is 25. So,
=> x = y - 25
=> z = y + 25
=> [(y-25) + y + (y+25)]/3 = 135
=> [y-25 + y + y + 25] / 3 = 135
=> 3y/3 = 135
=> y = 135
So, x = 110; y = 135; z = 160
Hence, the lowest number is 110.
Given, marks of Ram = 360.
Then, according to the given data,
=> 360 = 90% of Shyam
=> Shyam = 360 * 10 /9 = 400
And, Shyam = 125% of Mohan
=> 400 = 125/100 $\times$ Mohan
=> Mohan = 400 $\times$ 100/125 =80 $\times$ 4= 320
Mohan = 80% of Java.
=> 320 = 80/100 $\times$ Java
=> Java = 320 $\times$ 100 / 80 = 400
Therefore, Javas percentage = 400/500 $\times$ 100 = 80%.
According to the question,
A`s 1-day work = 1/18
B`s 1-day work = 1/9
(A+B)`s 1-day work = 1/18 + 1/9 = 3/18. [1 work in 18/3 = 6 days]
B continued for 6 days,
So, B`s 6 days work = 6/9
Total work done by A + B together = (1-6/9) = 3/9
Hence, A+B do 3/18 work in 1day (from above)
1 work in 18/3 day = 6 day
So,3/9 work in (6 $\times$ 3/9) = 2 days
So, both A and B worked for 2 days.
Given, his speed on plain and upward was 3km/hr. and 4 km/hr.
Average speed a = 24/7.
When he was coming back his speed was 6km/hr. and 4 km/hr.
Average = b = 24/5.
So Overall average speed v = 4 km/hr.
Given, time = 6hr (i.e. from 3pm to 9 pm)
Now, v = d/t
=> d=v $\times$ t
=> d=4 $\times$ 6=24km (two-way distance)
Therefore, one-way distance = 12 km.
According to the question,
Ratio of their investment will be A:B:C = (20000 $\times$ 24): (15000 $\times$ 24): (20000 $\times$ 18) = 4: 3: 3
Then, Bs Share = (3 $\times$ 25000)/ (4 + 3 + 3) = 7500.
Cognizant Logical Reasoning Test
Syllogism:Statements:All medicines are tabletsSome tablets are tonicsSome tonics are bitterConclusions:(I) Some tablets are bitter
(II) No medicine is a tonic
Manju is the daughter of Anil. Sheela is the mother of Manju. Therefore, Mohan is the son of Sheela.
Only son of Neena`s father-in-law Mahipal Neenas husband. So, Raman is Neenas husband and Anita and Hindu are his daughters.
Thus, Bindu is the granddaughter of Mahipal.
Number of boys in the row = (15 + 4 + 3) = 22. C is just left of A. So, C is 14th from the left end.
Number of boys to the right end of the row. So, C is 9th from the right end of the row.
Time from 5 a.m. on a day to 10 p.m. on 4th day = 89 hours.
Now 23 hrs. 44 min. of this clock = 24 hours of correct clock.
356/15 hrs. of this clock = 24 hours of correct clock.
89 hrs. of this clock = (24 x 31556 x 89) hrs. of correct clock.
= 90 hrs. of correct clock.
So, the correct time is 11 p.m.
This is the only group containing a vowel.
As given 1 is coded as X, 6 is coded as T, 3 is coded as J, 5 is coded as C, 4 is coded as N and 2 is coded as Z. So 163542 is coded as XTJCNZ.
It is not mentioned whether all the boys or a proportion of them play football.
P $ Q means P is neither equal to nor smaller than Q.
P $\otimes$ Q means P is not smaller than Q.
P * Q means P is neither greater nor smaller than Q.
P # Q means P is neither greater than nor equal to Q.
P @ Q means P is not greater than Q
(I) M $ P(II) P * M