The differences between terms are: $34 – 13 = 21$; $57 – 34 = 23$; $82 – 57 = 25$. The difference increases by 2 each time. The next difference should be 27, so $82 + 27 = 109$.
92. Sunita stands with her face pointing in the south-east direction. She walks 15 metres and then turns northwards and walks another 12 metres. How far is she from the starting point ?
(a) 3 metres
(b) 27 metres
(c) 9 metres
(d) None of these
Answer:
(c) 9 metres
Explanation:
Drawing out her path creates a right-angled triangle where the final displacement (x), northward path (12m), and south-east hypotenuse (15m) form the components. According to Pythagoras’ theorem (), we have .
93. In a certain language HAPPY is coded as IBQQZ, how is RIGHT coded in that language?
(a) SKGHU
(b) SGKHQ
(c) SJHIU
(d) QHFGS
Answer:
(c) SJHIU
Explanation:
Each letter in the word is shifted forward by one position in the alphabet (H->I, A->B, P->Q, etc.). Applying this to RIGHT gives S (R+1), J (I+1), H (G+1), I (H+1), U (T+1).
94. Five years ago the combined age of my mother and mine was 40 years. Now the ratio of our age is 4 : 1. How old is my mother?
(a) 10 years
(b) 40 years
(c) 60 years
(d) 20 years
Answer:
(b) 40 years
Explanation:
Five years ago, combined age = 40. Present combined age = . Let present ages be and . . The mother’s age is .
95. One-fourth of the number is 3 more than 7. The number is:
(a) 38
(b) 39
(c) 40
(d) 41
Answer:
(c) 40
Explanation:
The equation is .
96. A wire is in the shape of a square of side 10 cm. If the wire is re-bent into a rectangle of length 12 cm. Which figure encloses more area?
(a) Rectangle
(b) Square
(c) Both have equal area
(d) Cannot be ascertained
Answer:
(b) Square
Explanation:
The perimeter of the wire is $4 \times 10 = 40$ cm. Area of the square = cm². The rectangle has perimeter 40, so . The area of the rectangle is cm². The square encloses more area.
97. A college starts from 10 a.m. and continues till 1.30 p.m. In this duration there are 5 periods. If 5 minutes are provided before each period to leave the room and enter the other, then what is the duration of each period ?
(a) 41 minutes
(b) 38 minutes
(c) 40 minutes
(d) 42 minutes
Answer:
(b) 38 minutes
Explanation:
Total time from 10 a.m. to 1:30 p.m. is 3.5 hours, or 210 minutes. There are 4 breaks of 5 minutes between the 5 periods (assuming no break before the very first class starts). minutes. Duration per period = minutes.
98. Rahul scores twice as many runs as Ram. Together their runs fell two short of a double century. How many runs did Rahul score ?
(a) 132
(b) 133
(c) 134
(d) 135
Answer:
(a) 132
Explanation:
Let Ram’s score be . Rahul’s score is . Together, . Rahul’s score is .
99. An electric pole 14 m high, casts a shadow of 10 m. Find the height of a tree that casts a shadow of 15 m under similar conditions :
(a) 19 m
(b) 20 m
(c) 21 m
(d) 22 m
Answer:
(c) 21 m
Explanation:
This is a direct proportion: m.
100. The sum of all two digit numbers divisible by 5, is :
(a) 945
(b) 678
(c) 439
(d) 568
Answer:
(a) 945
Explanation:
The two-digit numbers divisible by 5 form an arithmetic progression: 10, 15, …, 95. The number of terms . The sum .
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