# Recent questions tagged cat1994

1
A and B walk from X to Y, a distance of 27 km at 5 kmph and 7 kmph respectively. B reaches Y and immediately turns back meeting A at Z. What is the distance from X to Z? 25 km 22.5 km 24 km 20 km
2
Four friends start from four towns, which are at the four corners of an imaginary rectangle. They meet at a point which falls inside the rectangle, after travelling distances of4O, 50, and 60 metres. The maximum distance that the fourth could have travelled is (approximately): 67 metres 52 metres 22.5 metres Cannot be determined
3
A man buys spirit at Rs. 60 per litre, adds water to it and then sells it at Rs. 75 per litre. What is the ratio of spirit to water if his profit in the deal is 37.5%? 9 : 1 10 : 1 11 : 1 None of these
4
What is the smallest number, which when increased by 5 is completely divisible by 8, 11 and 24? 264 259 269 None of these
5
Along a road lie an odd number of stones placed at intervals of 10 m. These stones have to be assembled around the middle stone. A person can carry only one stone at a time. A man carried out the job starting with the stone in the middle, carrying stones in succession, thereby covering a distance of 4.8 km. Then the number of stones is: 35 15 29 31
1 vote
6
It takes a pendulum of a clock 7 seconds to strike 4 o’clock. How much time will it take to strike 11 o’clock? 18 seconds 20 seconds 19.25 seconds 23.33 seconds
1 vote
7
The fourth term of an arithmetic progression is 8. What is the sum of the first 7 terms of the arithmetic progression? 7 64 56 cannot be determined
8
Shyam went from Delhi to Simla via Chandigarh by car. The distance from Delhi to Chandigarh is 3/4 times the distance from Chandigarh to Simla. The average speed from Delhi to Chandigarh was half as much again as that from Chandigarh to Simla. If the average speed for the entire journey was 49 kmph, what was the average speed from Chandigarh to Simla? 39.2 kmph 63 kmph 42 kmph None of these
9
A water tank has three taps A, B, and C. A fills four buckets in 24 mm, B fills 8 buckets in 1 hour and C fills 2 buckets in 20 minutes. If all the taps are opened together a full tank is emptied in 2 hours. If a bucket can hold 5 litres of water, what is the capacity of the tank? 120 litres 240 litres 180 litres 60 litres
1 vote
10
Given that a > b, then the relation ma[md(a), mn(a, b)] = mn[a, md(ma(a, b))] does not hold if: a < 0, b < 0 a > 0, b > 0 a > 0, b < 0, |a| < |b| a > 0, b < 0, |a| > |b|
1 vote
11
If md(x) = |x|, mn(x, y) = minimum of x and y, and ma(a, b, c,) = maximum of a, b, c The value of ma[md(a), mn(md(b), a), mn(ab, md(ac))] where a = -2, b = -3, c = 4 is: 2 6 8 -2
12
If one root of $x^{2} + px + 12 = 0$ is $4$, while the equation $x^{2} + px + q = 0$ has equal roots, then the value of $q$ is: $49/4$ $4/49$ $4$ $\frac{1}{4}$
1 vote
13
If the harmonic mean between two positive numbers is to their geometric mean as $12 : 13$, then the numbers could be in the ratio: $12: 13$ $1/12: 1/13$ $4:9$ $2:3$
14
If a + b + c = 0, where $a \neq b \neq c$, then what is the value of: $\frac{a^{2}}{2a^{2}+bc}+\frac{b^2}{2b^{2}+ac}+\frac{c^{2}}{2c^{2}+ab}$ zero 1 -1 abc
15
Choose the best alternative: A right circular cone of height h’ is cut by a plane parallel to the base and at a distance h/3 from the vertex, then the volumes of the resulting cone and frustum are in the ratio: 1 : 3 8 : 19 1 : 4 1 : 7
1 vote
16
Choose the best alternative: One man can do as much work in one day as a woman can do in 2 days A child does one-third the work in a day as a woman. If an estate-owner hires 39 pairs of hands, men, woman and children in the ratio 6 : 5 :2 and pays them in all Rs ... work. What must the daily wages of a child be, if the wages are proportional to the amount of work done? Rs. 14 Rs. 5 Rs. 20 Rs. 7
1 vote
17
Choose the best alternative: Two towns A and B are 100 km apart. A school is to be built for 100 students of Town B and 30 students of Town A. Expenditure on transport is Rs 1.20 per km. If the total expenditure on transport by all 130 students is to be as small as possible, then the school should be built at: 33 km from Town A 33 km from town B Town A Town B
18
Choose the best alternative A right circular cone, a right circular cylinder and a hemisphere, all have the same radius, and the heights of the cone and cylinder equal their diameters. Then their volumes are proportional, respectively to: 1:3:1 2:1:3 3:2:1 1:2:3
19
Choose the best alternative If $\log_{7} \log_{5} (x+5x+x)=0$; find the value of $x$. 1 0 2 None of these
1 vote
20
Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighoshpur, Calcutta. In Ghosh Housing Society 6 persons read daily Ganshakit and 4 read Anand Bazar Patrika: in his colony there is no person who reads both. The total number of persons who read ... Aghosh Colony and Dighoshpurare32 and 117 respectively Number of persons in Aghosh Colony who read only one newspaper is: 29 19 39 20
1 vote
21
Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighoshpur, Calcutta. In Ghosh Housing Society 6 persons read daily Ganshakit and 4 read Anand Bazar Patrika: in his colony there is no person who reads both. The total number of persons who read ... Aghosh Colony and Dighoshpurare32 and 117 respectively Number of persons in Aghosh Colony who read both these newspapers is: 13 20 19 14
22
Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighoshpur, Calcutta. In Ghosh Housing Society 6 persons read daily Ganshakit and 4 read Anand Bazar Patrika: in his colony there is no person who reads both. The total number of persons who read ... in Aghosh Colony and Dighoshpurare32 and 117 respectively Number of persons in Dighoshpur who read only Ganashakti is: 121 83 79 127
23
The number of votes not cast for the Praja Party increased by 25% in the National General Elections over those not cast for it in the previous Assembly Polls, and the Praja Party lost by a majority twice as large as that by which it had won the Assembly Polls. If a total 2, ... people voted each time, how many voted for the Praja Party in the Assembly Elections? 1,10,000 1,50,000 1,40,000 1,20,000
24
Each question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are logically related. A. All bins are buckets. B. No bucket is a basket. C. No bin is a basket. D. Some baskets are buckets. E. Some bins are baskets. F. No basket is a bin. BDE ACB CDF ABF
25
Each question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are logically related. A. Some building are not sky-scrapers. B. Some sky-scrapers are not buildings. C. No structure is a sky-scraper. D. All sky-scrapers are structures. E. All sky-scrapers are buildings. F. Some structures are not buildings. ACE BDF CDE ACF
26
Each question contains six statements followed by four sets of combinations of three Choose the set in which the combinations are logically related. A. All dolls are nice. B. All toys are nice. C. All toys are dolls. D. Some toys are nice. E. Some nice things are dolls. F. No doll is nice. CDE CEF ACD BEF
27
Each question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are logically related. A. No plane is a chain. B. All manes are chains. C. No mane is a plane. D. Some manes are not planes. E. Some planes are manes F. Some chains are not planes. ACD ADF ABC CDF
28
Each question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are logically related. A. Some abra are dabra. B. All abra are cabra. C. All dabra are abra. D. All dabra are abra. E. Some cabra are abra F. Some cabra are dabra. AEF BCF ABD BCE
29
Each question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are logically related. A. No wires are hooks. B. Some spring are hooks C. All springs are wires. D. Some hooks are not wires. E. No hook is a spring. F. All wires are springs. AEF BCF BEF ACE
30
Each question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are logically related. A. All falcons fly high. B. All falcons are blind. C. All falcons are birds. D. All birds are yellow. E. All birds are thirsty. F. All falcons are yellow. ABC CDF DEF BCA
31
Each question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are logically related. A. No spring is a season. B. Some seasons are springs. C. Some seasons are autumns. D. No seasons are autumns. E. Some springs are not autumns. F. All springs are autumns. DFA BEF CEB DEB
32
Each question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are logically related. A. All roses have thorns. B. All roses have nectar. C. All plants with nectar have thorns. D. All shrubs have roses. E. All shrubs have nectar. F. Some roses have thorns. BEF BCF BDE ACF
33
Each question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are logically related. A. All vegetarians eat meat. B. All those who eat meat are not vegetarians. C. All those who eat meat are herbivorous. D. All vegetarians are carnivorous. E. All those who eat meat are carnivorous. F. Vegetarians are herbivorous. BCE ABE ACD ACF
34
F: Fact: If it relates to a known matter of direct observation, or an existing reality or something known to be true, J: Judgment: If it is an opinion or estimate or anticipation of common sense or intention, I: Inference: If it is a logical conclusion or ... . D. Results are evident in the form of a boom in the manufacturing sector output and turnover of all industries. FJIF FIFJ IJIF JIFF
35
F: Fact: If it relates to a known matter of direct observation, or an existing reality or something known to be true, J: Judgment: If it is an opinion or estimate or anticipation of common sense or intention, I: Inference: If it is a logical conclusion ... future. D. But the turnover of the electronic industry is still rising, because consumers are increasing at a rapid rate. IFJF FJII FIJF JIFF
36
F: Fact: If it relates to a known matter of direct observation, or an existing reality or something known to be true, J: Judgment: If it is an opinion or estimate or anticipation of common sense or intention, I: Inference: If it is a logical ... reveals that interpersonal relations and hence life in general can be improved with a little effort on the art of individuals. FJIJ JFIF FIFJ IFFJ
37
F: Fact: If it relates to a known matter of direct observation, or an existing reality or something known to be true, J: Judgment: If it is an opinion or estimate or anticipation of common sense or intention, I: Inference: If it is a logical conclusion or deduction ... , hence man is also purposeless. D. There is only one way of adding purpose to this universe: Union with Him. JFIJ FJJI FFI IJFJ